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Sie können Ihre Einstellungen anpassen oder alle Cookies akzeptieren.","acceptAll","Alle Akzeptieren","rejectAll","Alle Ablehnen","customizeSettings","Einstellungen Anpassen","savePreferences","Einstellungen Speichern","privacyPolicyLink","Lesen Sie unsere Datenschutzrichtlinie","necessary",{"_168":751,"_202":752},"Notwendige","Erforderlich für die Funktion der Website. Können nicht deaktiviert werden.",{"_168":754,"_202":755},"Analytische","Helfen uns zu verstehen, wie Besucher unsere Website nutzen, um sie zu verbessern.","marketing",{"_168":758,"_202":759},"Marketing","Verwendet, um relevante Werbung anzuzeigen und die Wirksamkeit von Kampagnen zu messen.","manageCookies","Cookies Verwalten","tags",{"_764":765,"_766":767,"_768":769,"_770":771,"_772":773,"_774":775,"_776":777,"_778":779,"_780":781,"_782":783,"_784":785,"_786":787,"_166":788,"_789":790,"_791":792,"_756":758,"_793":794,"_795":796,"_797":798,"_799":800,"_801":802,"_803":804,"_805":806,"_807":808,"_809":810,"_811":812,"_813":814,"_815":816,"_817":818,"_819":820,"_176":821,"_822":823,"_824":825,"_826":827,"_828":829,"_830":831,"_93":832,"_833":834,"_835":836,"_837":838,"_839":840,"_841":842,"_843":844,"_845":846,"_847":848,"_849":850,"_851":852,"_853":854,"_855":856,"_857":858,"_859":860,"_861":862,"_863":864,"_865":866,"_867":868,"_869":870,"_871":872,"_873":874,"_875":876,"_877":878,"_879":880,"_170":881,"_882":883,"_594":884,"_885":886,"_887":888,"_889":890,"_891":892,"_893":894,"_895":896,"_897":898,"_899":900,"_901":902,"_903":904,"_905":906},"math","Mathematik","physics","Physik","chemistry","Chemie","biology","Biologie","science","Wissenschaft","engineering","Ingenieurwesen","environmental","Umwelt","weather","Wetter","marine","Marin","astronomy","Astronomie","finance","Finanzen","business","Geschäft","Recht","insurance","Versicherung","real-estate","Immobilien","hr","Personal","dev","Entwicklung","seo","SEO","security","Sicherheit","data","Daten","networking","Netzwerk","design","Design","media","Medien","music","Musik","art","Kunst","photography","Fotografie","video","Video","writing","Schreiben","health","Gesundheit","Medizin","psychology","Psychologie","fitness","Fitness","nutrition","Ernährung","education","Bildung","classroom","Klassenzimmer","Sprache","history","Geschichte","geography","Geographie","food","Essen","travel","Reisen","home","Zuhause","parenting","Erziehung","pets","Haustiere","fashion","Mode","trades","Handwerk","welding","Schweißen","electrical","Elektrik","plumbing","Sanitär","hvac","HLK","construction","Bau","automotive","Automobil","aviation","Luftfahrt","political","Politisch","cultural","Kulturell","social","Sozial","religious","Religiös","entertainment","Unterhaltung","gambling","Glücksspiel","sports","Sport","gaming","Gaming","Text","documents","Dokumente","Zeit","teachers","Lehrer","students","Schüler","developers","Entwickler","businesses","Unternehmen","parents","Eltern","kids","Kinder","professionals","Fachleute","fifa-2026","FIFA 2026","olympics-2026","Olympiade 2026","seasonal","Saisonal","trending","Trending","tools/2048-game",{"_168":909,"_202":910,"_911":912,"_913":914,"_915":916,"_917":918,"_919":920,"_921":922,"_923":924,"_115":925,"_926":927,"_931":932},"2048 Spiel","Spiele das klassische 2048 Puzzle-Spiel - kombiniere Kacheln, um 2048 zu erreichen!","score","PUNKTE","best","BESTE","newGame","Neues Spiel","youWin","Du hast gewonnen!","keepPlaying","Weiterspielen","gameOver","Spiel Vorbei!","finalScore","Endpunktzahl","Erneut Versuchen","instructions",{"_928":929,"_311":930},"desktop","Verwende die Pfeiltasten, um Kacheln zu bewegen. Wenn sich zwei Kacheln mit derselben Zahl berühren, verschmelzen sie!","Wische, um Kacheln zu bewegen. Wenn sich zwei Kacheln mit derselben Zahl berühren, verschmelzen sie!","info",{"_168":933,"_202":934,"_935":936,"_937":938,"_939":940,"_941":942,"_943":944,"_945":946,"_947":948,"_949":950,"_951":952},"Über 2048","2048 ist ein Schiebepuzzle-Spiel, bei dem du nummerierte Kacheln kombinierst, um die 2048-Kachel zu erreichen. Es ist einfach zu lernen, aber schwer zu meistern!","howToPlay","Wie man spielt","rule1","Verwende die Pfeiltasten (oder wische auf dem Handy), um alle Kacheln in eine Richtung zu bewegen","rule2","Wenn sich zwei Kacheln mit derselben Zahl berühren, verschmelzen sie zu einer Kachel mit dem doppelten Wert","rule3","Nach jeder Bewegung erscheint eine neue Kachel (2 oder 4) an einem zufälligen leeren Platz","rule4","Du gewinnst das Spiel, wenn du eine 2048-Kachel erstellst, aber du kannst weiterspielen, um eine noch höhere Punktzahl zu erzielen!","tips","Tipps & Strategie","tip1","Halte deine wertvollste Kachel in einer Ecke und baue drumherum","tip2","Konzentriere dich darauf, Kacheln in eine Richtung zu verschmelzen, um die Organisation zu bewahren","tip3","Überstürze nichts - denke voraus, wie sich die Kacheln bewegen und verschmelzen werden","tools/age-calculator",{"_168":955,"_202":956,"_139":957,"_964":965,"_968":969,"_57":971,"_931":986,"_1007":1008},"Altersrechner","Berechne dein exaktes Alter in Jahren, Monaten und Tagen",{"_958":959,"_960":961,"_962":963},"adult30s","Erwachsener 30+","adult20s","Erwachsener 20+","child","Kind","inputs",{"_966":967},"birthDate","Dein Geburtsdatum","buttons",{"_30":970},"Mein Alter berechnen",{"_972":973,"_974":975,"_976":977,"_978":979,"_980":981,"_982":983,"_984":985},"yearsOld","Jahre alt","months","Monate","days","Tage","totalDays","Tage insgesamt","totalWeeks","Wochen insgesamt","untilNextBirthday","Bis zum nächsten Geburtstag","daysUntilBirthday","{{days}} Tage",{"_168":987,"_202":988,"_989":990,"_991":992,"_993":994,"_995":996,"_997":998,"_999":1000,"_1001":1002,"_1003":1004,"_1005":1006},"So verwendest du diesen Altersrechner","Gib dein Geburtsdatum ein, um dein exaktes Alter zu berechnen und interessante Statistiken über deine Lebenszeit zu sehen.","whatYouLearnTitle","Was du erfährst","exactAgeTitle","Exaktes Alter:","exactAgeDesc","Dein Alter aufgeschlüsselt nach Jahren, Monaten und Tagen","totalDaysTitle","Tage insgesamt:","totalDaysDesc","Wie viele Tage du am Leben bist","totalWeeksTitle","Wochen insgesamt:","totalWeeksDesc","Dein Alter in Wochen gemessen","nextBirthdayTitle","Nächster Geburtstag:","nextBirthdayDesc","Countdown bis zu deiner nächsten Geburtstagsfeier","empty",{"_452":1009},"Enter your birth date to calculate age","tools/anagram-solver",{"_168":1012,"_202":1013,"_139":1014,"_964":1018,"_968":1025,"_57":1028,"_1041":1042,"_1048":1049,"_931":1052},"Anagramm-Löser","Finde Anagramme und entschlüssle Wörter sofort",{"_1015":1015,"_1016":1016,"_1017":1017},"listen","silent","evil",{"_1019":1020,"_1021":1022,"_1023":1024},"lettersLabel","Zu entschlüsselnde Buchstaben","lettersPlaceholder","Buchstaben eingeben...","minLengthLabel","Minimale Wortlänge",{"_1026":1027},"findAnagrams","🔍 Anagramme finden",{"_1029":1030,"_1031":1032,"_1033":1034,"_1035":1036,"_1037":1038,"_1039":1040},"foundWords","{{count}} Wort gefunden","foundWordsPlural","{{count}} Wörter gefunden","letters","Buchstaben","letterWords","{{length}}-Buchstaben-Wörter ({{count}})","clickToCopy","💡 Klicke auf ein Wort, um es zu kopieren","clickToCopyTitle","Zum Kopieren klicken","noResults",{"_1043":1044,"_168":1045,"_1046":1047},"emoji","🤔","Keine Wörter gefunden","message","Versuche andere Buchstaben oder verringere die minimale Wortlänge","emptyState",{"_1043":1050,"_1046":1051},"🔤","Gib Buchstaben ein und klicke auf \"Anagramme finden\"",{"_168":1053,"_1054":1055,"_1056":1057,"_1058":1059,"_1060":1015,"_1061":1062,"_1063":1017,"_1064":1065,"_1066":1067,"_1068":1069,"_1070":1071,"_1072":1073,"_1074":1075,"_1076":1077,"_1078":1079,"_1080":1081,"_1082":1083,"_1084":1085,"_1086":1087,"_1088":1089,"_1090":1091},"Über Anagramme","whatIsTitle","Was ist ein Anagramm?","whatIsDesc","Ein Anagramm ist ein Wort oder eine Phrase, die durch Umordnung der Buchstaben eines anderen Wortes oder einer anderen Phrase gebildet wird. Zum Beispiel sind \"listen\" und \"silent\" Anagramme.","famousTitle","Bekannte Anagramme","famous1","famous1Words","silent, enlist, tinsel","famous2","famous2Words","live, veil, vile","famous3","heart","famous3Words","earth, hater","famous4","master","famous4Words","stream, tamers","famous5","angel","famous5Words","angle, glean","usesTitle","Verwendungszwecke für den Anagramm-Löser","use1","Scrabble und Words with Friends Spiel","use2","Kreuzworträtsel lösen","use3","Wortspiele und Denksportaufgaben","use4","Kreatives Schreiben und Wortspiele","use5","Neuen Wortschatz lernen","use6","Ideen für Passwortgenerierung","tools/angular-momentum-calculator",{"_168":1094,"_202":1095,"_964":1096,"_1120":1121,"_1126":1127,"_139":1136,"_57":1140,"_1153":1154,"_1124":1161,"_1151":1187,"_1007":1188,"_1190":1191,"_931":1209},"Drehimpuls-Rechner","Berechne Drehimpuls, Trägheitsmoment und Rotationsenergie für verschiedene Formen",{"_1097":1098,"_1099":1100,"_1101":1102,"_1103":1104,"_1105":1106,"_1107":1108,"_1109":1110,"_1111":1112,"_1113":1114,"_1115":1116,"_1117":1118,"_1119":1104},"modeLabel","Berechnungstyp","shapeLabel","Form","massLabel","Masse (kg)","massPlaceholder","z.B. 2","radiusLabel","Radius (m)","radiusPlaceholder","z.B. 0,5","lengthLabel","Länge (m)","lengthPlaceholder","z.B. 1","angularVelocityLabel","Winkelgeschwindigkeit (rad/s)","angularVelocityPlaceholder","z.B. 10","momentOfInertiaLabel","Trägheitsmoment (kg·m²)","momentOfInertiaPlaceholder","modes",{"_1122":1123,"_1124":1125},"momentum","Drehimpuls (L = Iω)","conservation","Erhaltung (I₁ω₁ = I₂ω₂)","shapes",{"_1128":1129,"_1130":1131,"_1132":1133,"_1134":1135},"disk","Volle Scheibe","sphere","Volle Kugel","rod","Dünner Stab","point_mass","Punktmasse",{"_1128":1137,"_1130":1138,"_1132":1139},"Rotierende Scheibe","Rotierender Ball","Pendelstab",{"_168":58,"_1141":1142,"_1143":1144,"_1145":1146,"_1147":1148,"_1149":1150,"_1151":1152},"angularMomentum","Drehimpuls (L)","momentOfInertia","Trägheitsmoment (I)","rotationalKE","Rotationsenergie","kineticEnergy","Rotationskinetische Energie","formulaTitle","Formel für","visualization","Visualisierung","units",{"_1141":1155,"_1143":1156,"_1157":1158,"_1159":1160},"kg·m²/s","kg·m²","energy","J","angularVelocity","rad/s",{"_168":1162,"_1163":1164,"_1165":1166,"_1167":1168,"_1169":1170,"_1171":1172,"_1173":1174,"_1175":1176,"_1177":1178,"_1179":1180,"_1181":1182,"_1183":1184,"_1185":1186},"Drehimpulserhaltung","initialState","Anfangszustand","finalState","Endzustand","finalAngularVelocity","Endwinkelgeschwindigkeit","angularMomentumConserved","Drehimpuls (erhalten)","energyAnalysis","Energieanalyse","initialKE","Anfangskinetische Energie","finalKE","Endkinetische Energie","change","Änderung","energyNote","Hinweis: Wenn das Trägheitsmoment abnimmt, steigt die Rotationsenergie (und umgekehrt), obwohl der Drehimpuls erhalten bleibt. Diese Energie stammt von/geht in innere Arbeit über.","before","Vorher","after","Nachher","conserved","erhalten",{"_168":1152,"_1181":1182,"_1183":1184,"_1185":1186},{"_1046":1189},"Gib gültige Werte ein, um den Drehimpuls zu berechnen","formulas",{"_168":1192,"_1141":1193,"_1145":1194,"_1124":1195,"_1128":1196,"_1130":1197,"_1132":1198,"_1199":1200,"_1201":1202,"_1203":1204,"_1205":1206,"_1207":1208},"Formeln","L = I × ω","KE = ½Iω²","I₁ω₁ = I₂ω₂","Scheibe: I = ½MR²","Kugel: I = ⅖MR²","Stab: I = 1/12 ML²","pointMass","Punktmasse: I = MR²","diskDescription","Volle Scheibe, die sich um die zentrale Achse senkrecht zur Scheibe dreht","sphereDescription","Volle Kugel, die sich um einen beliebigen Durchmesser dreht","rodDescription","Dünner Stab, der sich um die Mitte senkrecht zur Länge dreht","point_massDescription","Punktmasse im Abstand R von der Rotationsachse",{"_168":1210,"_202":1211,"_1212":1213,"_1214":1215,"_1216":1217,"_1218":1219,"_1220":1221,"_1078":1222,"_1080":1223,"_1082":1224,"_1084":1225,"_1086":1226,"_1227":1228,"_947":1229,"_949":1230,"_951":1231},"Über den Drehimpuls-Rechner","Berechne den Drehimpuls für rotierende Objekte verschiedener Formen. Dieses Tool berechnet Trägheitsmoment, Drehimpuls und Rotationsenergie mit klassischen Mechanikgleichungen. Es demonstriert auch die Erhaltung des Drehimpulses, wenn sich das Trägheitsmoment ändert.","conceptsTitle","Wichtige Konzepte","concept1","Drehimpuls (L) ist das Rotationsanalogon zum linearen Impuls","concept2","Das Trägheitsmoment (I) hängt sowohl von der Massenverteilung als auch von der Rotationsachse ab","concept3","Der Drehimpuls bleibt ohne äußere Drehmomente erhalten","concept4","Verschiedene Formen haben unterschiedliche Trägheitsmomentformeln","Häufige Anwendungen","Physikunterricht und Hausaufgaben","Ingenieuranalyse rotierender Maschinen","Verständnis von Eiskunstläufer-Pirouetten und Eiskunstlauf","Gyroskop- und Schwungrad-Design","tipsTitle","Tipps","Winkelgeschwindigkeit in rad/s: 1 Umdrehung = 2π Radiant","Das Trägheitsmoment steigt mit Masse und Abstand von der Achse","Der Erhaltungsmodus zeigt, wie sich ω ändert, wenn sich I ändert (wie ein Eiskunstläufer, der die Arme anzieht)","tools/arc-length-calculator",{"_168":1234,"_202":1235,"_964":1236,"_57":1249,"_139":1263,"_1007":1269,"_1190":1271,"_931":1278},"Bogenlängen-Rechner","Berechne Bogenlänge, Sektorfläche, Sehnenlänge und andere Kreiseigenschaften",{"_1105":1237,"_1107":1238,"_1239":1240,"_1241":1242,"_1243":1244,"_1245":1246,"_1247":1248},"Radius","z.B. 5","angleLabel","Zentriwinkel","anglePlaceholder","z.B. 60","angleUnitLabel","Winkeleinheit","degrees","Grad","radians","Radiant",{"_168":58,"_1151":1250,"_1251":1252,"_1253":1254,"_1255":1256,"_1257":1258,"_1259":1260,"_1261":1262},"Bogen-Visualisierung","arcLength","Bogenlänge","chordLength","Sehnenlänge","sectorArea","Sektorfläche","additionalProperties","Zusätzliche Eigenschaften","segmentArea","Segmentfläche","angle","Winkel",{"_1264":1265,"_1266":1267,"_1247":1268},"quarter","Viertelkreis","semicircle","Halbkreis","π/2 Radiant",{"_1046":1270},"Gib einen positiven Radius ein, um Bogeneigenschaften zu berechnen",{"_168":1192,"_1251":1272,"_1255":1273,"_1274":1275,"_1276":1277},"Bogenlänge: s = rθ","Sektorfläche: A = ½r²θ","chord","Sehne: c = 2r sin(θ/2)","note","θ muss für diese Formeln in Radiant angegeben werden",{"_168":1279,"_202":1280,"_1212":1213,"_1214":1281,"_1216":1282,"_1218":1283,"_1220":1284,"_1078":1222,"_1080":1285,"_1082":1286,"_1084":1287,"_1086":1288,"_1227":1228,"_947":1289,"_949":1290,"_951":1291},"Über den Bogenlängen-Rechner","Berechne die Bogenlänge eines Kreissegments zusammen mit verwandten Eigenschaften wie Sektorfläche, Sehnenlänge und Segmentfläche. Dieses Tool ist wichtig für Geometrie, Ingenieurwesen und Designanwendungen.","Die Bogenlänge ist die Entfernung entlang der gekrümmten Linie des Kreises zwischen zwei Punkten","Der Sektor ist der 'Kuchenstück'-Bereich, der von zwei Radien und dem Bogen begrenzt wird","Die Sehne ist die gerade Linie, die die beiden Endpunkte des Bogens verbindet","Das Segment ist der Bereich zwischen der Sehne und dem Bogen","Architektur und Bauwesen (Berechnung gekrümmter Oberflächen, Bögen)","Maschinenbau (Zahnräder, Riemenscheiben, Rotationssysteme)","Straßenplanung (Berechnung von Kurvenlängen und Radien)","Fertigung (Schneiden gekrümmter Materialien, Berechnung des Materialverbrauchs)","Für einen vollen Kreis (360° oder 2π Radiant) entspricht die Bogenlänge dem Umfang (2πr)","Konvertiere immer Grad in Radiant, wenn du die Formeln verwendest: 1° = π/180 Radiant","Die Visualisierung zeigt den Sektor (schattiert), den Bogen (dicke Linie) und die Sehne (gestrichelte 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TikTok (1080×1920)","ratio3_2","ratio3_2Desc","Fotografie-Standard (4000×6000 für 24MP)","whyMaintainTitle","Warum Seitenverhältnis beibehalten?","whyMaintain1","Verhindert Verzerrung und Dehnung von Bildern/Videos","whyMaintain2","Behält die ursprüngliche Komposition und Bildausschnitt bei","whyMaintain3","Stellt sicher, dass Inhalte auf allen Plattformen professionell aussehen","whyMaintain4","Kritisch für responsives Webdesign","Behalte immer das Seitenverhältnis beim Ändern der Größe bei, um Verzerrungen zu vermeiden","Verwende den Zuschnitt-Modus, um spezifische Plattformanforderungen zu erfüllen","Berücksichtige die Zielplattform, bevor du ein Seitenverhältnis wählst","tip4","16:9 ist das vielseitigste für den allgemeinen Gebrauch",{"_1046":1422},"Enter dimensions to calculate aspect ratio","tools/barcode-generator",{"_168":1425,"_202":1426,"_139":1427,"_964":1440,"_384":1452,"_968":1461,"_1466":1467,"_931":1471},"Barcode-Generator","Erstelle professionelle Barcodes für Produkte, Inventar und mehr",{"_1428":1429,"_1430":1431,"_1432":1433,"_1434":1435,"_1436":1437,"_1438":1439},"ean13","EAN-13 Produkt","ean13Text","123456789012","upc","UPC-Code","upcText","012345678905","code128","Code128 Text","code128Text","PRODUKT-12345",{"_1441":1442,"_1443":1444,"_1445":1446,"_1447":1448,"_1436":1449,"_1428":1450,"_1432":1451},"textLabel","Text/Nummer zum Codieren","textPlaceholder","Barcode-Wert eingeben","textHelper","Zahlen für EAN/UPC, alphanumerisch für Code128","typeLabel","Barcode-Typ","Code 128 (Alphanumerisch)","EAN-13 (13 Ziffern)","UPC (12 Ziffern)",{"_1453":1454,"_1455":1456,"_1457":1458,"_1459":1460},"emptyText","Bitte gib Text oder Nummer zum Codieren ein","ean13Invalid","EAN-13 benötigt 12 oder 13 Ziffern","upcInvalid","UPC benötigt 11 oder 12 Ziffern","generateFailed","Barcode-Generierung fehlgeschlagen: ",{"_1462":1463,"_1464":1465},"downloadSVG","SVG herunterladen","downloadPNG","PNG herunterladen","messages",{"_1468":1469,"_1048":1470},"downloadHint","Klicke auf Herunterladen, um deinen Barcode zu speichern","Gib oben einen Wert ein, um einen Barcode zu generieren",{"_168":1472,"_1473":1474,"_1475":1476,"_1477":1478,"_1479":1480,"_1481":1482,"_1483":1484,"_1485":1486,"_1487":1488,"_1276":1489},"So verwendest du den Barcode-Generator","intro","Erstelle Barcodes für Produktetiketten, Bestandsverwaltung oder Asset-Tracking. Wähle den passenden Barcode-Typ für deine Bedürfnisse und lade ihn als SVG oder PNG herunter.","typesTitle","Barcode-Typen","code128Label","Code 128:","code128Desc","Am flexibelsten, unterstützt Buchstaben und Zahlen","ean13Label","EAN-13:","ean13Desc","Standard für Einzelhandelsprodukte, benötigt 13 Ziffern","upcLabel","UPC:","upcDesc","Verbreitet in Nordamerika, benötigt 12 Ziffern","Hinweis: Dieses Tool benötigt die jsbarcode-Bibliothek. Stelle sicher, dass sie für volle Funktionalität geladen ist.","tools/base64-encoder",{"_168":1492,"_202":1493,"_139":1494,"_1120":1507,"_964":1512,"_968":1523,"_1532":1533,"_384":1540,"_931":1546},"Base64 Encoder/Decoder","Codiere Text zu Base64 oder decodiere Base64-Strings",{"_1495":1496,"_1497":1498,"_1499":1500,"_1501":1502,"_1503":1504,"_1505":1506},"helloWorld","Hallo Welt","helloWorldText","Hallo, Welt!","decodeHello","Hallo decodieren","decodeHelloText","SGFsbG8sIFdlbHQh","jsonData","JSON-Daten","jsonDataText","{\"name\":\"Hans\",\"alter\":30}",{"_1508":1509,"_1510":1511},"encode","Codieren","decode","Decodieren",{"_1513":1514,"_1515":1516,"_1517":1518,"_1519":1520,"_1521":1522},"textToEncode","Zu codierender Text","base64ToDecode","Zu decodierender Base64-String","encodePlaceholder","Text zum Codieren eingeben...","decodePlaceholder","Base64-String zum Decodieren eingeben...","mode","Modus",{"_1524":1525,"_1526":1527,"_36":37,"_1528":1529,"_1530":1531},"encodeToBase64","Zu Base64 codieren","decodeFromBase64","Von Base64 decodieren","sample","Beispiel","copyToClipboard","In Zwischenablage kopieren","outputs",{"_1534":1535,"_1536":1537,"_1538":1539},"base64Encoded","Base64-codierte Ausgabe","decodedText","Decodierter Text","characters","Zeichen",{"_168":1541,"_1542":1543,"_1544":1545},"Fehler","encodeFailed","Codierung fehlgeschlagen. Stelle sicher, dass dein Text nur gültige Zeichen enthält.","invalidBase64","Ungültiger Base64-String. Bitte überprüfe deine Eingabe.",{"_168":1547,"_1548":1549,"_1550":1551,"_1552":1553,"_1554":1555,"_1556":1557,"_1558":1559,"_1560":1561,"_1562":1563,"_1564":1565,"_1566":1567},"Was ist Base64?","base64","Base64:","base64Desc","Binär-zu-Text-Codierungsschema, das Binärdaten im ASCII-String-Format darstellt","commonUses","Häufige Verwendungen:","commonUsesDesc","E-Mail-Anhänge, Einbetten von Bildern in HTML/CSS, API-Authentifizierung, Daten-URLs","characterSet","Zeichensatz:","characterSetDesc","A-Z, a-z, 0-9, +, / (insgesamt 64 Zeichen)","padding","Padding:","paddingDesc","Verwendet = für Padding, wenn die Datenlänge nicht durch 3 teilbar ist","sizeImpact","Größenauswirkung:","sizeImpactDesc","Base64-codierte Daten sind etwa 33% größer als das Original","tools/bill-of-lading-template",{"_168":1570,"_202":1571,"_139":1572,"_1577":1578,"_964":1589,"_1655":1656,"_1662":1663,"_968":1666,"_450":1674,"_1727":1728,"_931":1765},"Frachtbrief-Vorlage","Erstelle professionelle Versanddokumente für Fracht und Ladung",{"_1573":1574,"_1575":1576},"domestic","Inlandsversand","international","International","sections",{"_1579":1580,"_1581":1582,"_1583":1584,"_1585":1586,"_1587":1588},"shipperTitle","Absender-Informationen","consigneeTitle","Empfänger-Informationen","carrierTitle","Spediteur-Informationen","cargoTitle","Frachtdetails","termsTitle","Allgemeine Geschäftsbedingungen",{"_1590":1591,"_1592":1593,"_1594":1595,"_1596":1597,"_1598":1599,"_1600":1601,"_1602":1603,"_1604":1605,"_1606":1607,"_1608":1609,"_1610":1611,"_1612":377,"_1613":1597,"_1614":1599,"_1615":1601,"_1616":1603,"_1617":1605,"_1618":1607,"_1619":1609,"_1620":1611,"_1621":377,"_1622":1623,"_1624":1625,"_1626":1627,"_1628":1629,"_1630":1631,"_202":1632,"_1633":1634,"_1635":1636,"_1637":1638,"_1639":1640,"_1641":1642,"_1643":1644,"_1645":1646,"_1647":1648,"_1649":1650,"_1651":1652,"_1653":1654},"bolNumber","Frachtbrief-Nr.","bolNumberPlaceholder","FB-2024-0001","date","Datum","shipperName","Firmenname","shipperAddress","Adresse","shipperCity","Stadt","shipperState","Bundesland/Provinz","shipperZip","PLZ/Postleitzahl","shipperCountry","Land","shipperContact","Kontaktperson","shipperPhone","Telefon","shipperEmail","consigneeName","consigneeAddress","consigneeCity","consigneeState","consigneeZip","consigneeCountry","consigneeContact","consigneePhone","consigneeEmail","carrierName","Spediteur-Name","carrierScac","SCAC-Code","trailerNumber","Anhänger-Nummer","sealNumber","Siegel-Nummer","proNumber","PRO-Nummer","Warenbeschreibung","descriptionPlaceholder","Frachtbeschreibung eingeben...","quantity","Menge","weight","Gewicht","weightUnit","Einheit","dimensions","Abmessungen (L×B×H)","freightClass","Frachtklasse","hazmat","Gefahrgut","hazmatClass","Gefahrgutklasse","hazmatClassPlaceholder","z.B. 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Vorbehaltlich der Geschäftsbedingungen auf der Rückseite.","signatures","Unterschriften","shipperSignature","Unterschrift Absender","carrierSignature","Unterschrift Spediteur","receiverSignature","Unterschrift Empfänger","documentTitle","FRACHTBRIEF","documentSubtitle","DIREKTER FRACHTBRIEF - KURZFORM","contact","Kontakt:","tel","Tel.:","carrierLabel","Spediteur:","scacLabel","SCAC:","proLabel","PRO#:","trailerLabel","Anhänger#:","sealLabel","Siegel#:","cargoTable",{"_202":1715,"_1716":1636,"_1637":1638,"_1641":1717,"_1718":1719,"_1645":1646},"Beschreibung","qty","Abmessungen","class","Klasse","hazmatYes","hazmatNo","lbsUnit","dateSignature","Datum: _______________","itemNumber","Position","freightClasses",{"_1729":1730,"_1731":1732,"_1733":1734,"_1735":1736,"_1737":1738,"_1739":1740,"_1741":1742,"_1743":1744,"_1745":1746,"_1747":1748,"_1749":1750,"_1751":1752,"_1753":1754,"_1755":1756,"_1757":1758,"_1759":1760,"_1761":1762,"_1763":1764},"50","Klasse 50 (Clean Freight)","55","Klasse 55","60","Klasse 60","65","Klasse 65","70","Klasse 70","85","Klasse 85","100","Klasse 100","110","Klasse 110","125","Klasse 125","150","Klasse 150","175","Klasse 175","200","Klasse 200","250","Klasse 250","300","Klasse 300","400","Klasse 400","500","Klasse 500 (Geringe Dichte)","77.5","Klasse 77,5","92.5","Klasse 92,5",{"_168":1766,"_202":1767,"_1475":1768,"_1769":1770,"_1771":1772,"_1773":1774,"_1775":1776,"_1777":1778,"_1779":1780,"_1781":1782,"_1783":1784,"_1227":1228,"_947":1785,"_949":1786,"_951":1787},"Über den Frachtbrief","Ein Frachtbrief (Bill of Lading, B/L) ist ein rechtliches Dokument zwischen Absender und Spediteur, das Art, Menge und Bestimmungsort der transportierten Güter beschreibt. Es dient als Quittung, Vertrag und Eigentumsdokument.","Funktionen des Frachtbriefs","type1","Quittung: Bestätigt, dass der Spediteur die Waren erhalten hat","type2","Vertrag: Bedingungen zwischen Absender und Spediteur","type3","Eigentumsdokument: Eigentumsnachweis für die Fracht","fieldsTitle","Wichtige Felder","field1","SCAC-Code: Standard Carrier Alpha Code Identifikator","field2","PRO-Nummer: Progressive/Tracking-Nummer","field3","Frachtklasse: Bestimmt Versandkosten (50-500)","field4","Siegel-Nummer: Sicherheitssiegel-Identifikator","Bewahre immer Kopien für Absender, Spediteur und Empfänger auf","Vermerke sichtbare Schäden vor dem Unterschreiben","Überprüfe, ob Gewichte und Mengen mit der tatsächlichen Fracht übereinstimmen","tools/binomial-probability-calculator",{"_168":1790,"_202":1791,"_139":1792,"_964":1799,"_57":1806,"_1820":1821,"_931":1826,"_1007":1854},"Binomialwahrscheinlichkeits-Rechner","Berechne Binomialwahrscheinlichkeiten und Verteilungsstatistiken",{"_1793":1794,"_1795":1796,"_1797":1798},"coinFlips","10 Münzwürfe","testQuestions","20 Testfragen","productDefects","100 Produktqualität",{"_1800":1801,"_1802":1803,"_1804":1805},"trials","n (Versuche)","successes","k (Erfolge)","probability","p (Wahrscheinlichkeit)",{"_1807":1808,"_1804":1809,"_1810":1811,"_1812":1813,"_1814":1815,"_1816":1817,"_1818":1819},"distributionVisualization","Verteilungs-Visualisierung","Wahrscheinlichkeit","distributionStatistics","Verteilungsstatistiken","mean","Mittelwert (μ)","variance","Varianz (σ²)","standardDeviation","Standardabweichung (σ)","fullDistribution","Vollständige Verteilung","formula",{"_168":1822,"_1804":1823,"_1824":1825},"Binomialverteilung","P(X=k) = C(n,k) × p^k × (1-p)^(n-k)","statistics","μ = np, σ² = np(1-p)",{"_168":1827,"_202":1828,"_1829":1830,"_1831":1832,"_1833":1834,"_1835":1836,"_1837":1838,"_139":1839,"_1840":1841,"_1842":1843,"_1844":1845,"_1846":1847,"_1848":1849,"_1850":1851,"_1852":1853},"Über die Binomialverteilung","Die Binomialverteilung modelliert die Anzahl der Erfolge in einer festen Anzahl unabhängiger Versuche, die jeweils die gleiche Erfolgswahrscheinlichkeit haben.","whenToUse","Wann man die Binomialverteilung verwendet","condition1","Feste Anzahl von Versuchen (n)","condition2","Jeder Versuch hat nur zwei Ergebnisse (Erfolg/Misserfolg)","condition3","Versuche sind unabhängig","condition4","Erfolgswahrscheinlichkeit (p) ist konstant","Häufige Beispiele","example1","Münzwürfe: Kopf bei 10 Würfen erhalten","example2","Qualitätskontrolle: Fehlerhafte Artikel in einer Charge","example3","Medizinische Studien: Erfolgsrate einer Behandlung","parametersTitle","Parameter","paramN","Anzahl unabhängiger Versuche","paramK","Anzahl der Erfolge, für die wir die Wahrscheinlichkeit berechnen","paramP","Erfolgswahrscheinlichkeit bei jedem Versuch (zwischen 0 und 1)",{"_1046":1855},"Enter parameters to calculate probability","tools/bmi-calculator",{"_168":1858,"_202":1859,"_139":1860,"_964":1864,"_968":1874,"_57":1876,"_1899":1900,"_931":1905},"BMI-Rechner","Berechne deinen Body-Mass-Index und Gesundheitsmetriken",{"_1840":1861,"_1842":1862,"_1844":1863},"68 kg, 173 cm","70 kg, 175 cm","91 kg, 183 cm",{"_1637":1638,"_1354":1865,"_1866":1867,"_1868":1869,"_1870":1871,"_1872":1873},"Größe","feetAndInches","Fuß & Zoll","centimeters","Zentimeter","feet","Fuß","inches","Zoll",{"_30":1875},"BMI berechnen",{"_1877":1878,"_1879":1880,"_1881":1882,"_1883":1884,"_1885":1886,"_1887":1888,"_1889":1890,"_1891":1892,"_1893":1894,"_1895":1896,"_1897":1898},"yourBMI","Dein BMI","bmiCategory","BMI-Kategorie","categoriesTitle","BMI-Kategorien:","underweight","Untergewicht:","underweightRange","Weniger als 18,5","normalWeight","Normalgewicht:","normalWeightRange","18,5 - 24,9","overweight","Übergewicht:","overweightRange","25 - 29,9","obese","Adipositas:","obeseRange","30 oder mehr","categories",{"_1883":1901,"_1887":1902,"_1891":1903,"_1895":1904},"Untergewicht","Normalgewicht","Übergewicht","Adipositas",{"_168":1906,"_202":1907},"Über den BMI","Der Body-Mass-Index (BMI) ist ein Maß für Körperfett basierend auf Größe und Gewicht. Obwohl er ein nützliches Screening-Tool ist, misst er nicht direkt das Körperfett und ist möglicherweise nicht genau für Sportler, ältere Menschen oder Personen mit hoher Muskelmasse. Konsultiere einen Arzt für persönliche Gesundheitsberatung.","tools/body-fat-calculator",{"_168":1910,"_202":1911,"_139":1912,"_1153":1917,"_964":1922,"_57":1956,"_1899":1963,"_931":1970,"_1007":2007},"Körperfett-Rechner","Berechne deinen Körperfettanteil mit der US Navy-Methode",{"_1913":1914,"_1915":1916},"averageMale","Durchschnittlicher Mann","averageFemale","Durchschnittliche Frau",{"_1918":1919,"_1920":1921},"imperial","Imperial (in/lbs)","metric","Metrisch (cm/kg)",{"_1923":1924,"_1925":1926,"_1927":1928,"_1929":1930,"_1931":1932,"_1933":1934,"_1935":1936,"_1937":1938,"_1939":1940,"_1941":1942,"_1943":1944,"_1945":1946,"_1947":1948,"_1949":1950,"_1951":1952,"_1153":1953,"_1954":1955},"male","Männlich","female","Weiblich","heightInches","Größe (Zoll)","heightCm","Größe (cm)","weightLbs","Gewicht (lbs)","weightKg","Gewicht (kg)","neckInches","Hals (Zoll)","neckCm","Hals (cm)","neckHelper","An der schmalsten Stelle messen","waistInches","Taille (Zoll)","waistCm","Taille (cm)","waistHelper","Auf Höhe des Bauchnabels messen","hipInches","Hüfte (Zoll)","hipCm","Hüfte (cm)","hipHelper","An der breitesten Stelle messen","Einheiten","gender","Geschlecht",{"_1957":1958,"_1959":1960,"_1961":1962},"bodyFatPercentage","Körperfettanteil","fatMass","Fettmasse","leanMass","Magermasse",{"_1964":1965,"_1966":1967,"_824":825,"_1968":1969,"_1895":1904},"essentialFat","Essenzielles Fett","athletes","Sportler","average","Durchschnitt",{"_168":1971,"_1972":1973,"_1974":1975,"_1976":1977,"_1966":1978,"_1979":1980,"_824":1981,"_1982":1983,"_1968":1984,"_1985":1986,"_1895":1896,"_1987":1988,"_1989":1990,"_1991":1992,"_1993":1994,"_1995":1996,"_1997":1998,"_1999":2000,"_2001":2002,"_947":2003,"_949":2004,"_951":2005,"_1419":2006},"Körperfett-Kategorien","menTitle","Männer","essential","Essenziell:","menEssential","2-5%","Sportler:","menAthletes","6-13%","Fitness:","menFitness","14-17%","Durchschnitt:","menAverage","18-24%","menObese","25%+","womenTitle","Frauen","womenEssential","10-13%","womenAthletes","14-20%","womenFitness","21-24%","womenAverage","25-31%","womenObese","32%+","howToMeasure","Wie man misst","Verwende ein flexibles Maßband","Miss direkt auf der Haut","Halte das Band straff, aber nicht zu eng","Miss 3 Mal und bilde den Durchschnitt",{"_452":2008},"Enter measurements to calculate body fat","tools/break-even-analysis-calculator",{"_168":2011,"_202":2012,"_139":2013,"_964":2020,"_57":2033,"_2053":2054,"_384":2063,"_931":2066,"_1007":2086},"Break-Even-Analyse-Rechner","Berechne deinen Break-Even-Punkt und verstehe, wann dein Unternehmen profitabel wird",{"_2014":2015,"_2016":2017,"_2018":2019},"productBusiness","Produktgeschäft","serviceBusiness","Dienstleistungsgeschäft","retailStore","Einzelhandelsgeschäft",{"_2021":2022,"_2023":2024,"_2025":2026,"_2027":2028,"_2029":2030,"_2031":2032},"fixedCosts","Fixkosten ($)","fixedCostsHelper","Miete, Gehälter, Versicherung - Kosten, die sich nicht mit dem Umsatz ändern","variableCost","Variable Kosten pro Einheit ($)","variableCostHelper","Materialien, Arbeit pro Einheit - Kosten, die mit jedem Verkauf steigen","pricePerUnit","Preis pro Einheit ($)","pricePerUnitHelper","Verkaufspreis für jede Einheit",{"_2034":2035,"_2036":2037,"_2038":2039,"_2040":2041,"_2042":2043,"_2044":2045,"_1153":2046,"_2047":2048,"_2049":2050,"_2051":2052},"breakEvenUnits","Break-Even-Einheiten","breakEvenRevenue","Break-Even-Umsatz","contributionMargin","Deckungsbeitrag","perUnit","Pro Einheit:","percentage","Prozentsatz:","profitAtVolumes","Gewinn bei verschiedenen Mengen","Einheiten:","revenue","Umsatz:","totalCosts","Gesamtkosten:","profit","Gewinn:","volumes",{"_2055":2056,"_2057":2058,"_2059":2060,"_2061":2062},"fifty","50% des Break-Even","breakEven","Break-Even-Punkt","oneFifty","150% des Break-Even","twoHundred","200% des Break-Even",{"_2064":2065},"priceVsCost","Preis pro Einheit muss höher sein als variable Kosten pro Einheit",{"_168":2067,"_202":2068,"_2069":1213,"_2070":2071,"_2072":2073,"_2074":2075,"_2076":2077,"_2078":2079,"_2080":2081,"_2082":2083,"_2084":2085},"Wie Break-Even-Analyse funktioniert","Die Break-Even-Analyse hilft dir zu verstehen, wie viele Einheiten du verkaufen musst, um alle Kosten zu decken. Sobald du diesen Punkt überschreitest, wird dein Unternehmen profitabel. Dies ist wichtig für Preisstrategien und Geschäftsplanung.","keyConcepts","fixedCostsLabel","Fixkosten:","fixedCostsDesc","Ausgaben, die unabhängig vom Verkaufsvolumen gleich bleiben","variableCostsLabel","Variable Kosten:","variableCostsDesc","Ausgaben, die mit jeder produzierten/verkauften Einheit steigen","contributionMarginLabel","Deckungsbeitrag:","contributionMarginDesc","Betrag, den jeder Verkauf zur Deckung der Fixkosten beiträgt","breakEvenPointLabel","Break-Even-Punkt:","breakEvenPointDesc","Wo Gesamtumsatz gleich Gesamtkosten ist (null Gewinn)",{"_452":2087},"Enter costs to calculate break-even point","tools/buffer-solution-calculator",{"_168":2090,"_202":2091,"_964":2092,"_1151":2126,"_57":2139,"_2156":2157,"_1190":2161,"_139":2178,"_1007":2185,"_931":2187,"_2198":2199},"Pufferlösungs-Rechner","Berechne pH, pKa und Konzentrationen für Pufferlösungen mit der Henderson-Hasselbalch-Gleichung",{"_2093":2094,"_2095":2094,"_2096":2097,"_2098":2097,"_2099":2100,"_2101":2102,"_2103":2104,"_2105":2106,"_2107":2108,"_2109":2110,"_2111":2112,"_2113":2114,"_2115":2116,"_2117":2118,"_2119":2120,"_2121":2122,"_2123":2120,"_2124":2125},"solveFor","Löse nach","solveForLabel","bufferSystem","Puffersystem","bufferSystemLabel","customPka","Benutzerdefinierter pKa","acid","Säure","conjugateBase","Konjugierte Base","acidLabel","Säure:","conjugateBaseLabel","Konjugierte Base:","pKaLabel","pKa","pKaPlaceholder","z.B. 4,76","pHLabel","pH","pHPlaceholder","z.B. 7,0","acidConcLabel","[HA] Säurekonzentration (M)","acidConcPlaceholder","z.B. 0,1","baseConcLabel","[A-] Basenkonzentration (M)","baseConcPlaceholder","solving","wird gelöst",{"_168":2127,"_2128":2129,"_2130":2131,"_2132":2133,"_2134":2135,"_2136":2137,"_1349":2138},"pH-Skala & Pufferbereich","phScaleTitle","pH-Skala","acidic","Sauer","neutral","Neutral","basic","Basisch","bufferRange","Pufferbereich (pKa ± 1)","Verhältnis [A-]/[HA]",{"_168":58,"_2140":2141,"_2142":2143,"_2144":2145,"_2146":2147,"_2148":2149,"_2150":2151,"_2152":2153,"_2117":2154,"_2121":2155},"ratioLabel","Verhältnis [A⁻]/[HA]","capacityLabel","Pufferkapazität","capacityExcellent","Ausgezeichnet","capacityGood","Gut","capacityPoor","Schlecht","effectiveRangeLabel","Effektiver Bereich","effectiveRange","Effektiver Pufferbereich","[HA] (M)","[A⁻] (M)","commonBuffers",{"_168":2158,"_87":88,"_2110":2110,"_2159":2160},"Häufige Puffersysteme","pHRange","pH-Bereich",{"_168":2162,"_2163":2162,"_2164":2165,"_2110":2166,"_2136":2167,"_2168":2169,"_2170":2171,"_2172":2173,"_2174":2175,"_2176":2177},"Henderson-Hasselbalch-Gleichung","equationName","hendersonHasselbalch","pH = pKa + log([A-]/[HA])","pKa = -log(Ka)","Pufferbereich: pKa ± 1","capacityNotesTitle","Hinweise zur Pufferkapazität:","capacityNote1","Ausgezeichnet: Verhältnis zwischen 0,5 und 2","capacityNote2","Gut: Verhältnis zwischen 0,1 und 10","capacityNote3","Schlecht: Verhältnis außerhalb dieser Bereiche","capacityNote4","Beste Pufferung wenn [HA] = [A-] (pH = pKa)",{"_2179":2180,"_2181":2182,"_2183":2184},"acetate","Acetat-Puffer (pH ~4,76)","phosphate","Phosphat-Puffer (pH ~7,21)","tris","Tris-Puffer (pH ~8,2)",{"_1046":2186},"Gib Werte ein, um Puffereigenschaften zu berechnen",{"_168":2188,"_202":2189,"_1212":1213,"_1214":2190,"_1216":2191,"_1218":2192,"_1220":2193,"_1078":1222,"_1080":2194,"_1082":2195,"_1084":2196,"_1086":2197},"Über den Pufferlösungs-Rechner","Berechne Pufferlösungseigenschaften mit der Henderson-Hasselbalch-Gleichung. Dieses Tool bestimmt pH, pKa, Säurekonzentration oder Basenkonzentration basierend auf den anderen bekannten Werten und bewertet Pufferkapazität und effektiven Bereich.","Pufferlösungen widerstehen pH-Änderungen, wenn kleine Mengen Säure oder Base hinzugefügt werden","Die Henderson-Hasselbalch-Gleichung verknüpft pH mit pKa und dem Verhältnis von konjugierter Base zu schwacher Säure","Puffer funktionieren am besten, wenn der pH innerhalb von ±1 des pKa liegt (effektiver Pufferbereich)","Maximale Pufferkapazität tritt auf, wenn [HA] = [A-], d.h. wenn pH = pKa","Biochemie- und Molekularbiologie-Experimente","Pharmazeutische Formulierungen","Chemielabor-Präparationen","Aufrechterhaltung des physiologischen pH in biologischen Systemen","canvas",{"_2130":2131,"_2132":2133,"_2134":2135,"_2136":2200},"Pufferbereich","tools/buoyancy-calculator",{"_168":2203,"_202":2204,"_139":2205,"_964":2212,"_2232":2233,"_1151":2237,"_2198":2244,"_501":2246,"_1153":2263,"_57":2266,"_1190":2287,"_1007":2297,"_931":2299},"Auftriebsrechner","Berechne Auftriebskraft, bestimme ob Objekte schwimmen oder sinken und verstehe das Archimedische Prinzip",{"_2206":2207,"_2208":2209,"_2210":2211},"woodInWater","Holz in Wasser (Schwimmt)","cork","Kork in Wasser (Schwimmt hoch)","steelInWater","Stahl in Wasser (Sinkt)",{"_2213":2214,"_2215":2216,"_2217":2218,"_2219":2220,"_2221":2222,"_1101":2223,"_1103":1665,"_2224":2225,"_2226":2227,"_2228":2229,"_2230":2231},"fluidTypeLabel","Flüssigkeitstyp","custom","Benutzerdefiniert","volumeLabel","Objektvolumen (m³)","volumePlaceholder","m³","volumeHelper","1 L = 0,001 m³","Objektmasse (kg)","fluidDensityLabel","Flüssigkeitsdichte (kg/m³)","fluidDensityPlaceholder","kg/m³","gravityLabel","Schwerkraft (m/s²)","gravityPlaceholder","9,81","densityReference",{"_168":2234,"_2235":2236},"Häufige Objektdichten (kg/m³)","currentDensity","Aktuelle Objektdichte",{"_168":2238,"_2239":2240,"_1637":2241,"_2242":2243},"Kräftediagramm","submerged","eingetaucht","Gewicht (W)","buoyantForce","Auftriebskraft (Fb)",{"_1637":1638,"_2242":2245},"Auftriebskraft",{"_2247":2248,"_2132":2249,"_2250":2251,"_2252":2253,"_2254":2255,"_2256":2257,"_2258":2240,"_2259":2260,"_2261":2262},"floats","SCHWIMMT","NEUTRAL","sinks","SINKT","objectFloats","Objekt schwimmt","neutralBuoyancy","Neutraler Auftrieb","objectSinks","Objekt sinkt","submergedPercent","densityEquals","Objektdichte gleich Flüssigkeitsdichte","densityExceeds","Objektdichte übersteigt Flüssigkeitsdichte",{"_2264":2265},"newtons","N",{"_2242":2245,"_2267":2268,"_2269":2270,"_2271":2272,"_2273":2274,"_2275":2276,"_2277":2278,"_2279":2280,"_2281":2282,"_2283":2284,"_2285":2286},"objectWeight","Objektgewicht","netForce","Nettokraft","analysis","Analyse","objectDensity","Objektdichte","submergedFraction","Eingetauchter Anteil","volumeSubmerged","Eingetauchtes Volumen","apparentWeight","Scheinbares Gewicht (vollständig eingetaucht)","floatingDetails","Details schwimmender Objekte","volumeAboveFluid","Volumen über Flüssigkeit","percentSubmerged","Prozent eingetaucht",{"_168":2288,"_2242":2289,"_2267":2290,"_2291":2292,"_2275":2293,"_2279":2294,"_2295":2296},"Auftriebs-Formeln","Auftriebskraft: Fb = ρ_Flüssigkeit × V_verdrängt × g","Objektgewicht: W = m × g = ρ_Objekt × V × g","floatsWhen","Schwimmt wenn: ρ_Objekt < ρ_Flüssigkeit","Eingetauchter Anteil (schwimmend): V_eingetaucht/V_gesamt = ρ_Objekt/ρ_Flüssigkeit","Scheinbares Gewicht: W_scheinbar = W - Fb","archimedes","Archimedisches Prinzip: Die Auftriebskraft auf ein Objekt entspricht dem Gewicht der vom Objekt verdrängten Flüssigkeit.",{"_1046":2298},"Gib gültige Werte ein, um den Auftrieb zu berechnen",{"_168":2300,"_202":2301,"_1212":1213,"_1214":2302,"_1216":2303,"_1218":2304,"_1220":2305,"_1078":2306,"_1080":2307,"_1082":2308,"_1084":2309,"_1086":2310,"_1227":2311,"_947":2312,"_949":2313,"_951":2314},"Auftrieb verstehen","Dieser Rechner hilft dir, Auftrieb und das Archimedische Prinzip zu verstehen, indem er Kräfte auf Objekte in Flüssigkeiten berechnet. Gib Volumen und Masse eines Objekts ein, wähle eine Flüssigkeit und sieh, ob das Objekt schwimmt oder sinkt.","Auftriebskraft: Die aufwärts gerichtete Kraft, die eine Flüssigkeit auf ein eingetauchtes Objekt ausübt, gleich dem Gewicht der verdrängten Flüssigkeit","Schwimmen: Objekte schwimmen, wenn ihre Dichte geringer ist als die Dichte der Flüssigkeit, wobei nur ein Teil des Objekts eingetaucht ist","Sinken: Objekte sinken, wenn ihre Dichte die Dichte der Flüssigkeit übersteigt","Neutraler Auftrieb: Wenn Objekt- und Flüssigkeitsdichte gleich sind, bleibt das Objekt in jeder Tiefe schweben","Praktische Anwendungen","Schiffsdesign: Ingenieure nutzen Auftriebsprinzipien, um Schiffe zu entwerfen, die genug Wasser verdrängen, um ihr Gewicht zu tragen","U-Boot-Betrieb: U-Boote passen ihren Auftrieb an, indem sie Ballasttanks füllen oder leeren, um zu tauchen oder aufzutauchen","Heißluftballons: Ballons schweben in der Luft, weil die erwärmte Luft im Inneren weniger dicht ist als die umgebende kühle Luft","Tauchen: Taucher passen ihren Auftrieb mit Bleigürteln und Tarierwesten (BCDs) an","Tipps zur Verwendung dieses Tools","Probiere verschiedene Flüssigkeitsvoreinstellungen aus, um zu sehen, wie sich Objekte in Wasser, Öl, Honig oder sogar Luft verhalten","Verwende die Referenz für häufige Objektdichten, um zu verstehen, welche Materialien in Wasser schwimmen oder sinken","Für schwimmende Objekte entspricht der eingetauchte Anteil dem Verhältnis von Objektdichte zu Flüssigkeitsdichte","tools/business-card-maker",{"_168":2317,"_202":2318,"_139":2319,"_964":2350,"_2366":2367,"_2375":2376,"_450":2386,"_2390":2391,"_968":2398,"_931":2400},"Visitenkarten-Ersteller","Erstelle professionelle Visitenkarten mit anpassbaren Vorlagen",{"_2320":2321,"_2322":2323,"_2324":2325,"_2326":2327,"_2328":2329,"_2330":2331,"_2332":2333,"_2334":2335,"_2336":2337,"_2338":2339,"_2340":2341,"_2342":2343,"_2344":2345,"_2346":2347,"_2348":2349},"creative","Kreativ","creativeName","Sarah 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Product Manager","TechCorp GmbH","max@firma.de","+49 (0) 123 456-789","www.firma.de","Geschäftsstraße 123, Suite 100, 12345 Stadt","templates",{"_2377":2378,"_2379":2380,"_2381":2382,"_2383":2384,"_2320":2385},"modern","Modern (farbig mit Akzentleiste)","classic","Klassisch (weiß mit Rahmen)","minimal","Minimal (klar und einfach)","bold","Fett (geteiltes Design)","Kreativ (Verlauf mit Formen)",{"_168":2387,"_2388":2389},"Vorschau","size","Standardgröße: 85 × 55 mm (1004 × 649 Pixel bei 300 DPI)","colors",{"_168":2392,"_2393":2394,"_2395":2396,"_170":2397},"Farbanpassung","primary","Primärfarbe","secondary","Sekundärfarbe","Textfarbe",{"_24":2399},"💾 Visitenkarte herunterladen (PNG)",{"_168":2401,"_2402":2403,"_2404":2405,"_2406":2407,"_2408":2409,"_2410":2411,"_2412":2413,"_2414":2415,"_2416":2417,"_2418":2419,"_2420":2421,"_2422":2423,"_2424":2425,"_2426":2427,"_2428":2429,"_2430":2431,"_2432":2433,"_2434":2435,"_2436":2437,"_2438":2439,"_2440":2441,"_2442":2443,"_2444":2445,"_2446":2447,"_2448":2449,"_2450":2451,"_2452":2453,"_2454":2455,"_2456":2457,"_2458":2459,"_2460":2461,"_2462":2463},"Wie man Visitenkarten erstellt","instructionsTitle","Anleitung","step1","Wähle einen Vorlagenstil, der zu deiner Marke passt","step2","Fülle deine persönlichen und Kontaktinformationen aus","step3","Passe die Farben an deine Markenidentität an","step4","Sieh dein Kartendesign in Echtzeit in der Vorschau","step5","Lade als hochauflösendes PNG (300 DPI) herunter","step6","Drucke auf Standard-Visitenkartenkarton 85 × 55 mm","stylesTitle","Vorlagenstile","styleModern","Modern:","styleModernDesc","Farbiger Hintergrund mit Akzentleiste, zeitgemäße Ausstrahlung","styleClassic","Klassisch:","styleClassicDesc","Weißer Hintergrund mit Rahmen, traditionell und elegant","styleMinimal","Minimal:","styleMinimalDesc","Klares und einfaches Design mit dezenten Akzenten","styleBold","Fett:","styleBoldDesc","Geteiltes Design mit starker visueller Wirkung","styleCreative","Kreativ:","styleCreativeDesc","Verlaufshintergrund mit Formen, künstlerisches Flair","printingTitle","Druck-Tipps","printTip1","Download erzeugt 300 DPI Bild, perfekt für professionellen Druck","printTip2","Standard-Visitenkartengröße ist 85 × 55 mm","printTip3","Verwende hochwertigen Karton (mindestens 300 g/m²)","printTip4","Erwäge mattes oder glänzendes Finish basierend auf deinem Design","printTip5","Bestelle Testdrucke vor Großaufträgen","practicesTitle","Best Practices","practice1","Halte das Design klar und lesbar","practice2","Verwende hohen Kontrast zwischen Text und Hintergrund","practice3","Füge nur wesentliche Kontaktinformationen hinzu","practice4","Passe Farben an deine Markenidentität an","practice5","Teste die Lesbarkeit in tatsächlicher Kartengröße","practice6","Korrekturlesen aller Informationen sorgfältig","tools/business-days-calculator",{"_168":2466,"_202":2467,"_139":2468,"_964":2474,"_57":2481,"_931":2490,"_1007":2500},"Arbeitstage-Rechner","Berechne die Anzahl der Arbeitstage zwischen zwei Daten ohne Wochenenden und Feiertage",{"_2469":2470,"_1264":2471,"_2472":2473},"next30Days","Nächste 30 Tage","Quartal (90 Tage)","fullYear","Ganzes Jahr 2024",{"_2475":2476,"_2477":2478,"_2479":2480},"startDate","Startdatum","endDate","Enddatum","excludeHolidays","US-Bundesfeiertage ausschließen",{"_2482":2483,"_978":979,"_2484":2485,"_2486":2487,"_2488":2489},"businessDays","Arbeitstage","weekendDays","Wochenendtage","holidays","Feiertage","excludesNote","Ohne Wochenenden{{includeHolidays, select, true { und US-Bundesfeiertage} other {}}}",{"_168":2491,"_202":2492,"_1552":2493,"_1080":2494,"_1082":2495,"_1084":2496,"_1086":2497,"_1088":2498,"_1276":2499},"So verwendest du diesen Arbeitstage-Rechner","Gib Start- und Enddatum ein, um die Anzahl der Arbeitstage (Werktage) zwischen ihnen zu berechnen. Wochenenden werden automatisch ausgeschlossen, und du kannst optional US-Bundesfeiertage ausschließen.","Häufige Verwendungen","Projektzeitpläne berechnen","Liefertermine schätzen","Arbeitszeiten planen","Zahlungsbedingungen berechnen (Netto 30, etc.)","Vertragsfristen bestimmen","Hinweis: Dieser Rechner verwendet US-Bundesfeiertage. Die tatsächlichen Arbeitstage können je nach Standort und Unternehmensrichtlinie variieren.",{"_452":2501},"Enter dates to calculate business days","tools/business-loan-calculator",{"_168":2504,"_202":2505,"_139":2506,"_964":2513,"_57":2526,"_931":2542,"_1007":2563},"Geschäftsdarlehen-Rechner","Berechne Geschäftsdarlehen-Zahlungen mit Bearbeitungsgebühren und effektivem Jahreszins",{"_2507":2508,"_2509":2510,"_2511":2512},"smallBusiness","Kleinunternehmensdarlehen","equipment","Ausrüstungsdarlehen","workingCapital","Betriebskapital",{"_2514":2515,"_2516":2517,"_2518":2519,"_2520":2521,"_2522":2523,"_2524":2525},"loanAmount","Darlehensbetrag ($)","loanAmountHelper","Gesamtbetrag, den du leihen musst","interestRate","Jährlicher Zinssatz (%)","loanTerm","Darlehenslaufzeit (Jahre)","originationFee","Bearbeitungsgebühr (%)","originationFeeHelper","Einmalige Gebühr des Kreditgebers (typischerweise 1-5%)",{"_2527":2528,"_2529":2530,"_2522":2531,"_2532":2533,"_2514":2534,"_2535":2536,"_2537":2050,"_2538":2539,"_2540":2541},"monthlyPayment","Monatliche Zahlung","totalInterest","Zinsen insgesamt","Bearbeitungsgebühr","loanSummary","Darlehensübersicht","Darlehensbetrag:","netAmount","Erhaltener Nettobetrag:","totalCost","effectiveAPR","Effektiver Jahreszins:","numberOfPayments","{{count}} monatliche Zahlungen",{"_168":2543,"_202":2544,"_2545":2546,"_2547":2548,"_2549":2550,"_2551":2552,"_2553":2554,"_2555":2556,"_2557":2558,"_2559":2560,"_2561":2562},"Geschäftsdarlehen-Kosten verstehen","Geschäftsdarlehen beinhalten oft Bearbeitungsgebühren, die den tatsächlich erhaltenen Betrag reduzieren. Der effektive Jahreszins zeigt deine wahren Kreditkosten einschließlich aller Gebühren und hilft dir, Darlehensangebote genau zu vergleichen.","keyTerms","Wichtige Begriffe","originationFeeLabel","Bearbeitungsgebühr: ","originationFeeDesc","Einmalige Vorabgebühr, typischerweise 1-5% des Darlehensbetrags","netAmountLabel","Nettobetrag: ","netAmountDesc","Was du tatsächlich nach Abzug der Gebühren erhältst","effectiveAPRLabel","Effektiver Jahreszins: ","effectiveAPRDesc","Wahre jährliche Kosten einschließlich aller Gebühren","monthlyPaymentLabel","Monatliche Zahlung: ","monthlyPaymentDesc","Fester Betrag basierend auf vollem Darlehensbetrag",{"_452":2564},"Enter loan details to calculate payments","tools/calorie-calculator",{"_168":2567,"_202":2568,"_139":2569,"_1153":2576,"_1954":2579,"_964":2580,"_2590":2591,"_57":2601,"_931":2614,"_1007":2641},"Kalorienrechner","Berechne deinen täglichen Kalorienbedarf",{"_2570":2571,"_2572":2573,"_2574":2575},"activeMale","Aktiver Mann","moderateFemale","Moderat aktive Frau","sedentaryMale","Bewegungsarmer Mann",{"_1918":2577,"_1920":2578},"Imperial (lbs/in)","Metrisch (kg/cm)",{"_1923":1924,"_1925":1926},{"_2581":2582,"_2583":1932,"_2584":1934,"_2585":2586,"_2587":1930,"_2588":2589,"_1153":1953,"_1954":1955},"age","Alter","weightImperial","weightMetric","heightImperial","Größe (in)","heightMetric","activityLevel","Aktivitätslevel","activityLevels",{"_2592":2593,"_83":2594,"_2595":2596,"_2597":2598,"_2599":2600},"sedentary","Bewegungsarm (wenig oder kein Sport)","Leicht (1-3 Tage/Woche)","moderate","Moderat (3-5 Tage/Woche)","active","Aktiv (6-7 Tage/Woche)","veryActive","Sehr aktiv (täglich hartes Training)",{"_2602":2603,"_2604":2605,"_2606":2607,"_2608":2609,"_2610":2611,"_2612":2613},"bmr","BMR (Grundumsatz)","maintenance","Erhaltung","weightLoss","Gewichtsabnahme (-500)","weightGain","Gewichtszunahme (+500)","tip","Tipp:","tipText","Für gesunde Gewichtsabnahme strebe 0,5-1 kg pro Woche an, indem du 500-1000 Kalorien vom Erhaltungsbedarf reduzierst.",{"_168":2615,"_2616":2617,"_2618":2619,"_2620":2621,"_2606":2622,"_2623":2624,"_2604":2625,"_2626":2627,"_2608":2628,"_2629":2630,"_2631":2632,"_2633":2634,"_2635":2636,"_2637":2638,"_2639":2640},"Deinen Kalorienbedarf verstehen","whatIsBmrTitle","Was ist der BMR?","whatIsBmrText","Der Grundumsatz (BMR) ist die Anzahl der Kalorien, die dein Körper in Ruhe verbrennt. Dieser Rechner verwendet die Mifflin-St Jeor-Gleichung, die als die genaueste Formel gilt.","calorieGoalsTitle","Kalorienziele","Gewichtsabnahme:","weightLossText","Iss 500-1000 Kalorien unter dem Erhaltungsbedarf","Erhaltung:","maintenanceText","Iss entsprechend deinem TDEE, um dein aktuelles Gewicht zu halten","Gewichtszunahme:","weightGainText","Iss 300-500 Kalorien über dem Erhaltungsbedarf","importantNotesTitle","Wichtige Hinweise","note1","Dies sind Schätzwerte - der individuelle Bedarf kann variieren","note2","Gehe nicht unter 1200 Kalorien (Frauen) oder 1500 Kalorien (Männer)","note3","Konsultiere einen Arzt für persönliche Beratung","note4","Passe basierend auf deinen Ergebnissen über 2-3 Wochen an",{"_452":2642},"Enter your details to calculate calorie needs","tools/capacitor-circuits-calculator",{"_168":2645,"_202":2646,"_1120":2647,"_964":2652,"_57":2671,"_1190":2704,"_139":2709,"_931":2716},"Kondensatorschaltungs-Rechner","Berechne das Lade- und Entladeverhalten von RC-Schaltungen mit Zeitkonstanten und Energiespeicherung",{"_2648":2649,"_2650":2651},"charging","Laden","discharging","Entladen",{"_1097":1522,"_2653":2654,"_2655":2656,"_2657":2658,"_2659":2660,"_2661":2662,"_2663":2664,"_2665":2666,"_2667":2668,"_2669":2670},"capacitanceLabel","Kapazität (μF)","capacitancePlaceholder","Mikrofarad","resistanceLabel","Widerstand (kΩ)","resistancePlaceholder","Kiloohm","sourceVoltageLabel","Quellenspannung (V)","initialVoltageLabel","Anfangsspannung (V)","voltagePlaceholder","Volt","timeLabel","Zeit (s) - optional","timePlaceholder","Sekunden",{"_2672":2673,"_2674":2675,"_2676":2677,"_2678":2679,"_2680":2681,"_2682":2683,"_2684":2685,"_2686":2687,"_2688":2689,"_2690":2691,"_2692":2693,"_2694":2695,"_2696":2697,"_2698":2699,"_2700":2701,"_2702":2703,"_594":884},"chargingTitle","RC-Ladeschaltung","dischargingTitle","RC-Entladeschaltung","timeConstant","Zeitkonstante (τ)","maxCharge","Max. Ladung","maxEnergy","Max. Energie","initialCharge","Anfangsladung","initialEnergy","Anfangsenergie","atTime","Bei t = {{time}}s","charge","Ladung","voltage","Spannung","current","Strom","charged","Geladen","remaining","Verbleibend","milestonesTitle","Zeitkonstanten-Meilensteine","dischargeMilestonesTitle","Entlade-Meilensteine","tau","τ",{"_168":1192,"_2676":2705,"_2648":2706,"_2650":2707,"_1276":2708},"τ = RC","Laden: V(t) = V₀(1 - e^(-t/τ))","Entladen: V(t) = V₀ × e^(-t/τ)","Nach 5τ erreicht das Laden 99,3% und das Entladen fällt auf 0,7%.",{"_2710":2711,"_2712":2713,"_2714":2715},"standard","Standard-RC-Schaltung","low_voltage","Niederspannungsschaltung","high_capacitance","Hohe Kapazität",{"_168":2717,"_202":2718,"_1212":1213,"_1214":2719,"_1216":2720,"_1218":2721,"_1220":2722,"_1078":1222,"_1080":2723,"_1082":2724,"_1084":2725,"_1086":2726},"Über den RC-Schaltungs-Rechner","Berechne das Lade- und Entladeverhalten von Widerstand-Kondensator (RC)-Schaltungen. Dieses Tool berechnet Zeitkonstanten, Spannung, Strom, Ladung und Energie zu jedem Zeitpunkt mit exponentiellen Gleichungen.","Die Zeitkonstante (τ = RC) bestimmt, wie schnell der Kondensator lädt oder entlädt","Nach 1τ erreicht das Laden 63,2% und das Entladen fällt auf 36,8%","Nach 5τ gilt die Schaltung als vollständig geladen oder entladen (>99%)","Im Kondensator gespeicherte Energie: E = ½CV²","Elektronikdesign und Timerschaltungen","Filterschaltungen in Audio- und Signalverarbeitung","Netzglättung und Entkopplung","Physik- und Elektrotechnikausbildung","tools/center-of-mass-calculator",{"_168":2729,"_202":2730,"_139":2731,"_1120":2738,"_1126":2742,"_2749":2750,"_2366":2763,"_968":2771,"_57":2774,"_2786":2787,"_1820":2793,"_931":2795},"Schwerpunkt-Rechner","Berechne den Schwerpunkt für Punktmassen und gleichförmige Formen",{"_2732":2733,"_2734":2735,"_2736":2737},"twoMasses","Zwei Massen (1D)","threeMasses2D","Drei Massen (2D)","triangle","Dreieckform",{"_2739":2740,"_1126":2741},"points","Punktmassen","Gleichförmige Formen",{"_1132":2743,"_2744":2745,"_2736":2746,"_2747":2748,"_1266":1267},"Gleichförmiger Stab","rectangle","Rechteck","Dreieck","circle","Kreis","labels",{"_2751":2752,"_2753":2754,"_2755":2756,"_2757":1110,"_1352":2758,"_1354":2759,"_2760":2761,"_2762":1106},"calculationMode","Berechnungsmodus","includeY","Y-Koordinate einbeziehen (2D)","shapeType","Formtyp","length","Breite (m)","Höhe (m)","base","Basis (m)","radius",{"_2764":1102,"_2765":2766,"_2767":2768,"_2769":2770},"mass","x","x (m)","y","y (m)","meters","Meter",{"_2772":2773},"addMass","+ Masse hinzufügen",{"_1151":1152,"_2775":2776,"_2777":2778,"_2779":2780,"_2781":1726,"_2782":2783,"_2784":2785},"xCoordinate","X-Koordinate","yCoordinate","Y-Koordinate","totalMass","Gesamtmasse","position","xFromOrigin","X vom Ursprung","yFromOrigin","Y vom Ursprung","descriptions",{"_1132":2788,"_2744":2789,"_2736":2790,"_2747":2791,"_1266":2792},"Am Mittelpunkt des Stabes","Im geometrischen Zentrum","Bei 1/3 von der Basis entlang der Medianen","Im Mittelpunkt des Kreises","Bei 4r/(3π) vom Durchmesser",{"_168":2794},"Formel",{"_168":2796,"_202":2797,"_2798":2799,"_2800":2801,"_2802":2803,"_2804":2805},"Über den Schwerpunkt","Der Schwerpunkt ist die gewichtete Durchschnittsposition aller Masse in einem System. Es ist der Punkt, an dem die gesamte Masse eines Objekts als konzentriert betrachtet werden kann.","pointMasses","Für Punktmassen wird der Schwerpunkt unter Verwendung des gewichteten Durchschnitts der Position jeder Masse berechnet.","uniformShapes","Für gleichförmige Formen mit konstanter Dichte fällt der Schwerpunkt mit dem geometrischen Zentrum (Schwerpunkt) zusammen.","balancePoint","Der Schwerpunkt ist der Gleichgewichtspunkt - wenn du ein Objekt an diesem Punkt stützt, wird es perfekt ausbalanciert sein.","applications","Das Verständnis des Schwerpunkts ist entscheidend in Physik, Ingenieurwesen, Robotik und Sportbiomechanik.","tools/character-counter",{"_168":2808,"_202":2809,"_139":2810,"_964":2822,"_505":2825,"_968":2836,"_931":2839},"Zeichen- & Wortzähler","Zähle Zeichen, Wörter, Sätze und mehr in Echtzeit",{"_2811":2812,"_2813":2814,"_366":2815,"_2816":2817,"_2818":2819,"_2820":2821},"tweet","Tweet","tweetText","Dies ist eine Tweet-Länge Nachricht unter 280 Zeichen!","Meta Description","metaDescriptionText","Kostenloses Online-Zeichenzähler-Tool. Zähle Zeichen, Wörter, Sätze sofort.","pangram","Pangram","pangramText","Franz jagt im komplett verwahrlosten Taxi quer durch Bayern. Dieses Pangram enthält jeden Buchstaben des Alphabets.",{"_2823":2824},"placeholder","Beginne zu tippen oder füge deinen Text hier ein...",{"_1538":1539,"_2826":2827,"_2828":2829,"_2830":2831,"_2832":2833,"_2834":2835},"noSpaces","Ohne Leerzeichen","words","Wörter","sentences","Sätze","paragraphs","Absätze","lines","Zeilen",{"_36":37,"_2837":2838},"copyText","Text kopieren",{"_168":2840,"_1080":2841,"_1082":2842,"_1084":2843,"_1086":2844},"Häufige Anwendungsfälle","Twitter/X-Posts (280 Zeichen Limit)","Meta Descriptions (150-160 Zeichen)","Essay-Wortzählungen","SMS-Nachrichtenlänge","tools/chemical-equation-balancer",{"_168":2847,"_202":2848,"_964":2849,"_139":2855,"_57":2866,"_931":2876},"Chemische Gleichungen Ausgleicher","Gleiche chemische Gleichungen mit der algebraischen Methode aus",{"_2850":2851,"_2823":2852,"_2853":2854},"equation","Chemische Gleichung","z.B. H2 + O2 -> H2O","hint","Verwende -> oder = um Edukte und Produkte zu trennen. Verwende + zwischen Verbindungen.",{"_2856":2857,"_2858":2859,"_2860":2861,"_2862":2863,"_2864":2865},"water","Wasserbildung","iron","Eisenrost","methane","Methanverbrennung","ammonia","Ammoniaksynthese","neutralization","Säure-Base-Neutralisation",{"_2867":2868,"_2869":2870,"_2871":2872,"_2873":2874,"_1048":2875},"balancedTitle","Ausgeglichene Gleichung","coefficientsTitle","Koeffizienten","reactants","Edukte","products","Produkte","Gib eine chemische Gleichung ein, um sie auszugleichen",{"_168":2877,"_202":2878,"_2879":2880,"_2881":2882,"_1227":2883,"_947":2884,"_949":2885,"_951":2886,"_1419":2887,"_2888":1529,"_2889":2890,"_2891":2892,"_2893":2894},"Chemische Gleichungen ausgleichen verstehen","Eine ausgeglichene chemische Gleichung hat auf beiden Seiten der Gleichung die gleiche Anzahl jeder Atomart. Dies spiegelt das Gesetz der Massenerhaltung wider - Materie kann in einer chemischen Reaktion weder erzeugt noch zerstört werden.","howItWorksTitle","Wie es funktioniert","howItWorksDesc","Der Ausgleicher verwendet Koeffizienten (Zahlen, die vor chemischen Formeln platziert werden), um sicherzustellen, dass die Anzahl der Atome jedes Elements auf beiden Seiten der Gleichung gleich ist. Der Algorithmus probiert verschiedene Koeffizientenkombinationen aus, bis er eine findet, die alle Elemente ausgleicht.","Tipps zum Schreiben von Gleichungen","Verwende Standard-Elementsymbole (H, O, C, N, Fe, etc.)","Schreibe Indizes als Zahlen (H2O, nicht H₂O)","Trenne Verbindungen mit + Zeichen","Verwende -> oder = zwischen Edukten und Produkten","exampleTitle","exampleUnbalanced","Unausgeglichen:","exampleBalanced","Ausgeglichen:","exampleExplanation","Jetzt haben wir 4 Wasserstoffatome und 2 Sauerstoffatome auf jeder Seite.","tools/chi-square-test-calculator",{"_168":2897,"_202":2898,"_964":2899,"_968":2921,"_384":2922,"_57":2931,"_2968":2969,"_931":2971},"Chi-Quadrat-Test-Rechner","Führe Chi-Quadrat-Anpassungstest und Unabhängigkeitstest durch",{"_2900":2901,"_2902":2903,"_2904":2905,"_2906":2907,"_2908":2909,"_2910":2911,"_2912":2913,"_2914":2915,"_2916":2835,"_2917":2918,"_2919":2920},"testType","Testtyp","goodnessOfFit","Anpassungstest","testOfIndependence","Unabhängigkeitstest","significanceLevel","Signifikanzniveau (α)","observedFrequencies","Beobachtete Häufigkeiten (Komma oder Leerzeichen getrennt)","observedPlaceholder","z.B. 30, 40, 20, 10","expectedFrequencies","Erwartete Häufigkeiten","expectedPlaceholder","z.B. 25, 25, 25, 25","rows","columns","Spalten","contingencyTable","Kontingenztabelle",{"_30":31},{"_2923":2924,"_2925":2926,"_2927":2928,"_2929":2930},"minValues","Bitte gib mindestens 2 Werte für jede Kategorie ein","lengthMismatch","Beobachtete und erwartete Werte müssen die gleiche Anzahl haben","calculationError","Berechnungsfehler","validNumbers","Bitte gib gültige Zahlen in alle Felder ein",{"_2932":2933,"_2934":2935,"_2936":2937,"_2938":2939,"_2940":2940,"_2941":2942,"_2943":2944,"_2945":2946,"_2947":2948,"_2949":2950,"_2951":2952,"_2953":2954,"_2955":2956,"_2957":2958,"_555":2959,"_2960":2961,"_2962":2963,"_2964":2965,"_2966":2967,"_2912":2913},"goodnessTitle","Anpassungstest-Ergebnisse","independenceTitle","Unabhängigkeitstest-Ergebnisse","chiSquare","χ²-Statistik","degreesOfFreedom","Freiheitsgrade","df","pValue","p-Wert","cramersV","Cramér's V","rejectH0","H₀ verwerfen:","failToReject","H₀ nicht verwerfen:","significantDifference","Die beobachteten Häufigkeiten unterscheiden sich signifikant von den erwarteten (p < {{alpha}})","noSignificantDifference","Kein signifikanter Unterschied zu den erwarteten Häufigkeiten (p ≥ {{alpha}})","significantAssociation","Die Variablen sind signifikant assoziiert (p < {{alpha}})","noSignificantAssociation","Keine signifikante Assoziation zwischen Variablen (p ≥ {{alpha}})","contributions","Beiträge zu χ²","Kategorie","observed","Beobachtet","expected","Erwartet","residual","Residuum","contribution","Beitrag","criticalValues",{"_168":2970,"_2940":2940},"Kritische Werte Referenz",{"_168":2972,"_2932":2903,"_2973":2974,"_2934":2905,"_2975":2976,"_2977":2978,"_2979":2980,"_2981":2982,"_2983":2984},"Über Chi-Quadrat-Tests","goodnessDescription","Testet, ob beobachtete Häufigkeiten mit erwarteten Häufigkeiten übereinstimmen. Verwende dies, wenn du bestimmen möchtest, ob deine Stichprobendaten zu einer bestimmten Verteilung passen.","independenceDescription","Testet, ob zwei kategorische Variablen unabhängig sind. Verwende dies, um festzustellen, ob es eine Beziehung zwischen zwei Variablen in einer Kontingenztabelle gibt.","assumptionsTitle","Annahmen","assumption1","Erwartete Häufigkeit ≥ 5 in jeder Zelle","assumption2","Beobachtungen sind unabhängig","assumption3","Daten sind Zählungen (keine Prozentsätze)","tools/classroom-timer",{"_168":2987,"_202":2988,"_1120":2989,"_2996":2997,"_3010":3011,"_65":3028,"_931":3043,"_594":3082},"Klassenzimmer-Timer","Vollbild-Timer für Lehrer und Klassenzimmeraktivitäten",{"_2990":2991,"_2992":2993,"_2994":2995},"countdown","Countdown","countup","Hochzählen","clock","Uhr","controls",{"_2998":2999,"_3000":3001,"_26":27,"_3002":3003,"_3004":3005,"_3006":3007,"_3008":3009},"start","Start","pause","Pause","minus5min","-5 Min","minus1min","-1 Min","plus1min","+1 Min","plus5min","+5 Min","presets",{"_3012":3013,"_3014":3015,"_3016":3017,"_3018":3019,"_3020":3021,"_3022":3023,"_3024":3025,"_3026":3027},"1min","1 Min","5min","5 Min","10min","10 Min","15min","15 Min","20min","20 Min","30min","30 Min","45min","45 Min","60min","60 Min",{"_3029":3030,"_3031":3032,"_3033":3034,"_3035":3036,"_3037":3038,"_3039":3040,"_3041":3042},"soundOn","🔊 Ton an","soundOff","🔇 Ton aus","hideSeconds","⏱️ Sekunden ausblenden","showSeconds","⏱️ Sekunden anzeigen","warningsOn","⚠️ Warnungen an","warningsOff","⚠️ Warnungen aus","keyboardShortcuts","Tastatur: Leertaste = Play/Pause, R = Zurücksetzen",{"_168":3044,"_1473":3045,"_3046":3047,"_3048":3049,"_3050":3051,"_3052":3053,"_3054":3055,"_3056":3057,"_3058":3059,"_3060":3061,"_3062":3063,"_3064":3065,"_3066":3067,"_3068":3069,"_3070":3071,"_3072":3073,"_3074":3075,"_3076":3077,"_3078":3079,"_3080":3081},"So verwendest du den Klassenzimmer-Timer","Perfekt für Lehrer, Tests und Klassenzimmeraktivitäten. Verwende den Projektionsmodus-Schalter in der Kopfzeile für größere Anzeige auf Projektoren.","featuresTitle","Funktionen","countdownModeLabel","Countdown-Modus:","countdownModeDesc","Stelle einen Timer für Tests, Aktivitäten oder Pausen ein","countupModeLabel","Hochzähl-Modus:","countupModeDesc","Verfolge verstrichene Zeit für Präsentationen oder Aufgaben","clockModeLabel","Uhr-Modus:","clockModeDesc","Zeige aktuelle Zeit für \"arbeite bis X:XX\"-Szenarien","colorWarningsLabel","Farbwarnungen:","colorWarningsDesc","Visuelle Farbänderungen, wenn die Zeit abläuft","soundAlertsLabel","Tonbenachrichtigungen:","soundAlertsDesc","Akustische Warnungen bei 5 Minuten, 1 Minute und Ende","quickAdjustmentsLabel","Schnelle Anpassungen:","quickAdjustmentsDesc","+1/-1 und +5/-5 Minuten-Schaltflächen","keyboardShortcutsTitle","Tastaturkürzel","spaceLabel","Leertaste:","spaceDesc","Timer starten/pausieren","rLabel","R:","rDesc","Timer zurücksetzen",{"_3083":3084,"_3085":3086},"am","AM","pm","PM","tools/coin-flip",{"_168":3089,"_202":3090,"_3091":3092,"_968":3101,"_57":3106,"_3110":3111,"_139":3113,"_931":3126},"Münzwurf","Wirf eine virtuelle Münze für zufällige Entscheidungen","states",{"_3093":3094,"_3095":3096,"_3097":3098,"_3099":3100},"flipping","Wird geworfen...","heads","KOPF","tails","ZAHL","ready","Bereit zum Werfen",{"_3102":3103,"_3104":3105},"flip","Münze werfen","clearHistory","Verlauf löschen",{"_3095":3107,"_3097":3108,"_833":3109},"Kopf","Zahl","Wurf-Verlauf (Letzte 10)","howToUse",{"_168":3112},"So wird's verwendet",{"_3114":3115,"_3116":3117,"_3118":3119,"_3120":3121,"_3122":3123,"_3124":3125},"flipOnce","Einmal werfen","flipOnceDesc","Klicke auf die Wurf-Schaltfläche","trackHistory","Verlauf verfolgen","trackHistoryDesc","Siehe deine letzten 10 Würfe","viewStats","Statistiken anzeigen","viewStatsDesc","Siehe Kopf/Zahl-Verteilung",{"_168":3127,"_202":3128,"_301":3047,"_3129":3130,"_3131":3132,"_3133":3134,"_3135":3121,"_3136":3137,"_3138":3139,"_3140":3141,"_3142":3143},"So verwendest du den Münzwurf","Klicke auf die Schaltfläche \"Münze werfen\", um eine virtuelle Münze zu werfen. Das Ergebnis wird mit einer Animation angezeigt. Verfolge deinen Wurf-Verlauf, um Muster und Statistiken zu sehen.","animatedFlipLabel","Animierter Wurf:","animatedFlipDesc","Visuelle Animation für jeden Münzwurf","historyLabel","Wurf-Verlauf:","historyDesc","statisticsLabel","Statistiken:","statisticsDesc","Verfolge Kopf vs. Zahl-Verteilung","trueRandomLabel","Echter Zufall:","trueRandomDesc","Verwendet Math.random() für faire 50/50-Chancen","tools/color-converter",{"_168":3146,"_202":3147,"_139":3148,"_964":3155,"_968":3166,"_384":3169,"_931":3172},"Farbkonverter","Konvertiere zwischen HEX-, RGB- und HSL-Farbformaten",{"_3149":3150,"_3151":3152,"_3153":3154},"blueHex","Blau HEX","redRgb","Rot RGB","greenHsl","Grün HSL",{"_3156":3157,"_3158":3159,"_3160":3161,"_3162":3163,"_3164":3165},"inputFormat","Eingabeformat","hexFormat","HEX (#RRGGBB)","rgbFormat","RGB (R, G, B)","hslFormat","HSL (H, S%, L%)","enterValue","{{format}}-Wert eingeben",{"_3167":3168},"copyCSS","CSS kopieren",{"_3170":3171},"invalidFormat","Ungültiges Farbformat. Bitte überprüfe deine Eingabe.",{"_168":3173,"_3174":3175,"_3176":3177,"_3178":3179,"_3180":3181,"_3182":3183,"_3184":3185,"_3186":3187},"Farbformat-Leitfaden","formatDescriptions","Formatbeschreibungen","hexLabel","HEX:","hexDesc","Hexadezimalformat (#RRGGBB). Am gebräuchlichsten im Webdesign. Beispiel: #3B82F6","rgbLabel","RGB:","rgbDesc","Rot-, Grün-, Blauwerte (0-255). Beispiel: rgb(59, 130, 246)","hslLabel","HSL:","hslDesc","Farbton (0-360), Sättigung (0-100%), Helligkeit (0-100%). Beispiel: hsl(217, 91%, 60%)","tools/color-picker",{"_168":3190,"_202":3191,"_139":3192,"_3199":3200,"_2749":3207,"_968":3208,"_3010":3209},"Farbwähler","Wähle Farben und konvertiere zwischen HEX, RGB und HSL",{"_3193":3194,"_3195":3196,"_3197":3198},"blue","Blau","red","Rot","green","Grün","formats",{"_3201":3202,"_3203":3204,"_3205":3206},"hex","HEX","rgb","RGB","hsl","HSL",{"_3195":3196,"_3197":3198,"_3193":3194},{"_20":21},{"_168":3210},"Schnellauswahl","tools/complex-number-calculator",{"_168":3213,"_202":3214,"_964":3215,"_3230":3231,"_139":3243,"_57":3248,"_931":3264},"Komplexe Zahlen Rechner","Führe Operationen mit komplexen Zahlen durch mit schrittweisen Lösungen und Visualisierungen",{"_3216":3217,"_3218":3219,"_3220":3221,"_3222":3223,"_3224":3225,"_3226":3227,"_3228":3229},"operation","Operation","z1","z1 (Erste Zahl)","z2","z2 (Zweite Zahl)","realPart","Realteil (a)","imaginaryPart","Imaginärteil (b)","powerN","Potenz (n)","rootN","Wurzel (n)","operations",{"_129":3232,"_3233":3234,"_3235":3236,"_3237":3238,"_3239":3240,"_3241":3242},"Addieren (z1 + z2)","subtract","Subtrahieren (z1 - z2)","multiply","Multiplizieren (z1 * z2)","divide","Dividieren (z1 / z2)","power","Potenz (z1^n)","roots","Wurzeln (n-te Wurzeln von z1)",{"_3235":3244,"_129":3245,"_3239":3246,"_3241":3247},"Multipliziere 3+4i mit 1+2i","Addiere 2+3i und 4-i","Kubikwurzel der Einheit","4. Wurzeln von 1",{"_168":56,"_3249":3250,"_3251":3252,"_3253":3254,"_3255":3256,"_3241":3257,"_3258":3259,"_3260":3261,"_55":56,"_3262":3263},"rectangularForm","Rechteckige Form","magnitude","Betrag (r)","argument","Argument (θ)","conjugate","Konjugiert","Die {{n}} Wurzeln von {{z1}} sind:","steps","Berechnungsschritte","complexPlane","Komplexe Ebene","z1Properties","z1 Eigenschaften",{"_168":3265,"_202":3266,"_1190":3267,"_3249":3268,"_3269":3270,"_3271":3272,"_3273":3274,"_3275":3276,"_3277":3278,"_3279":3280,"_1227":1213,"_947":3281,"_949":3282,"_951":3283},"Über komplexe Zahlen","Komplexe Zahlen erweitern das reelle Zahlensystem durch Einführung der imaginären Einheit i, wobei i² = -1. Sie sind essentiell in Mathematik, Physik und Ingenieurwesen zur Darstellung von Größen mit Betrag und Richtung.","Wichtige Formeln","Rechteckig: z = a + bi","polarForm","Polar: z = r(cos(θ) + i*sin(θ)) = r*cis(θ)","magnitudeFormula","r = √(a² + b²), θ = atan2(b, a)","multiplicationFormula","Multiplikation: r1*r2 * cis(θ1 + θ2)","divisionFormula","Division: (r1/r2) * cis(θ1 - θ2)","deMoivre","De Moivre: z^n = r^n * cis(n*θ)","rootsFormula","Wurzeln: z^(1/n) = r^(1/n) * cis((θ + 2πk)/n)","De Moivres Theorem vereinfacht Potenzen und Wurzeln mit Polarform","Die n-ten Wurzeln jeder komplexen Zahl sind gleichmäßig auf einem Kreis verteilt","Multiplikation rotiert und skaliert; Division rotiert rückwärts und skaliert invers","tools/compliment-generator",{"_168":3286,"_202":3287,"_964":3288,"_1899":3291,"_968":3303,"_2823":3305,"_3309":3310,"_931":3391},"Komplimente-Generator","Erstelle herzliche Komplimente für jeden Anlass",{"_3289":3290},"categoryLabel","Komplimente-Kategorie",{"_3292":3293,"_2334":3294,"_3295":3296,"_3297":3298,"_3299":3300,"_3301":3302},"all","🎲 Alle Kategorien","💼 Beruflich","personal","💝 Persönlich","funny","😄 Lustig","motivational","🔥 Motivierend","appearance","✨ Aussehen",{"_34":3304,"_20":1531,"_22":23},"💝 Kompliment generieren",{"_170":3306,"_3307":3308},"Klicke auf \"Kompliment generieren\", um loszulegen!","subtext","Verbreite heute etwas Positives","compliments",{"_2334":3311,"_3295":3327,"_3297":3343,"_3299":3359,"_3301":3375},[3312,3313,3314,3315,3316,3317,3318,3319,3320,3321,3322,3323,3324,3325,3326],"Deine Liebe zum Detail ist bemerkenswert.","Du hast eine unglaubliche Arbeitsmoral, die andere inspiriert.","Deine Problemlösungsfähigkeiten sind wirklich beeindruckend.","Du holst das Beste aus deinem Team heraus.","Deine Führungsqualitäten sind außergewöhnlich.","Du hast die Gabe, komplexe Ideen einfach zu erklären.","Dein Engagement für Exzellenz zeigt sich in allem, was du tust.","Du bist die Art von Kolleg:in, mit der jeder zusammenarbeiten möchte.","Deine Kreativität bringt frische Perspektiven in jedes Projekt.","Du gehst mit Druck gelassen und professionell um.","Deine Beiträge machen einen echten Unterschied.","Du hast eine erstaunliche Fähigkeit, fokussiert zu bleiben.","Deine Organisationsfähigkeiten sind erstklassig.","Du bist ein Naturtalent darin, Beziehungen aufzubauen.","Deine positive Einstellung ist ansteckend am Arbeitsplatz.",[3328,3329,3330,3331,3332,3333,3334,3335,3336,3337,3338,3339,3340,3341,3342],"Du hast ein Herz aus Gold.","Deine Freundlichkeit macht die Welt zu einem besseren Ort.","Du bist ein:e fantastische:r Freund:in.","Deine Authentizität ist erfrischend.","Du hast eine wunderschöne Seele.","Deine Empathie ist ein seltenes Geschenk.","Du gibst allen um dich herum das Gefühl, wertvoll zu sein.","Deine Großzügigkeit kennt keine Grenzen.","Du bist einer der aufrichtigsten Menschen, die ich kenne.","Deine Wärme erhellt jeden Raum.","Du hast eine unglaubliche Fähigkeit zu lieben.","Deine Aufmerksamkeit wird nie übersehen.","Du bist die Art von Mensch, die jeder in seinem Leben braucht.","Deine Geduld ist wirklich bewundernswert.","Du schaffst es, dass sich Menschen besonders fühlen.",[3344,3345,3346,3347,3348,3349,3350,3351,3352,3353,3354,3355,3356,3357,3358],"Du bist wie ein menschlicher Sonnenstrahl, aber mit besseren Witzen.","Wenn Großartigkeit ein Verbrechen wäre, würdest du lebenslang sitzen.","Du bist der Grund, warum der Genpool einen Rettungsschwimmer braucht.","Du bist so cool, dass Pinguine neidisch sind.","Du bist wie ein Wörterbuch – du gibst meinem Leben Bedeutung.","Wenn du ein Gemüse wärst, wärst du eine Schatz-Gurke.","Du bist der Beweis, dass gute Dinge in tollen Verpackungen kommen.","Du bist das WLAN zu meinem Internet – ohne dich funktioniere ich nicht.","Du bist wie ein guter Wein, außer dass ich dich nie im Keller lagern würde.","Wenn Sarkasmus eine Sportart wäre, wärst du olympischer Champion.","Du bist so strahlend, ich brauche eine Sonnenbrille, um dich anzuschauen.","Du bist das menschliche Äquivalent eines vierblättrigen Kleeblatts.","Du bist wie Pizza – selbst wenn du schlecht bist, bist du gut.","Du bringst das 'Spaß' in 'fundamental großartig'.","Wenn Großartigkeit eine Währung wäre, wärst du Milliardär:in.",[3360,3361,3362,3363,3364,3365,3366,3367,3368,3369,3370,3371,3372,3373,3374],"Du hast die Kraft, Veränderung zu schaffen.","Dein Potenzial ist grenzenlos.","Jeder Schritt, den du gehst, ist Fortschritt.","Du bist fähig, alles zu erreichen, was du dir vornimmst.","Deine Widerstandsfähigkeit ist inspirierend.","Herausforderungen machen dich nur stärker.","Du hast alles, was zum Erfolg nötig ist.","Deine Entschlossenheit ist bemerkenswert.","Die Welt braucht deine einzigartigen Gaben.","Du bist deinen Zielen näher, als du denkst.","Deine harte Arbeit wird sich auszahlen.","Du hast den Mut, deinen Träumen zu folgen.","Jedes Hindernis ist eine getarnte Chance.","Deine Ausdauer zeichnet dich aus.","Du bist für Großes bestimmt.",[3376,3377,3378,3379,3380,3381,3382,3383,3384,3385,3386,3387,3388,3389,3390],"Dein Lächeln könnte den dunkelsten Raum erhellen.","Du hast die fesselndsten Augen.","Dein Stil ist tadellos.","Du strahlst Selbstvertrauen aus.","Deine Präsenz ist magnetisch.","Du siehst heute absolut umwerfend aus.","Deine Energie strahlt positiv.","Du trägst dich mit solcher Eleganz.","Deine natürliche Schönheit ist atemberaubend.","Du hast einen unglaublichen Sinn für Stil.","Dein Selbstvertrauen ist wunderschön.","Du siehst aus, als wärst du einem Magazin entstiegen.","Deine Ausstrahlung ist unbestreitbar.","Du hast eine zeitlose Eleganz an dir.","Deine Ausstrahlung ist absolut makellos.",{"_168":3392,"_202":3393,"_1078":3394,"_1080":3395,"_1082":3396,"_1084":3397,"_1086":3398,"_1088":3399,"_1227":1228,"_947":3400,"_949":3401,"_951":3402},"Über den Komplimente-Generator","Manchmal brauchen wir alle etwas Aufmunterung oder die richtigen Worte, um jemandem den Tag zu verschönern. Dieses Tool generiert echte, herzliche Komplimente für jede Situation.","Perfekt für","Einem Freund den Tag verschönern","Wärme zu Grußkarten hinzufügen","Team-Morale-Booster bei der Arbeit","Positive Beiträge in sozialen Medien","Inspiration für tägliche Affirmationen","Personalisiere das Kompliment, indem du spezifische Details hinzufügst","Echte Aufrichtigkeit macht jedes Kompliment bedeutungsvoller","Verwende berufliche Komplimente für Wertschätzung am Arbeitsplatz","tools/compound-interest-calculator",{"_168":3405,"_202":3406,"_139":3407,"_964":3414,"_57":3441,"_931":3452,"_1007":3462},"Zinseszins-Rechner","Berechne, wie deine Investition mit Zinseszins und regelmäßigen Beiträgen wächst",{"_3408":3409,"_3410":3411,"_3412":3413},"longTerm","Langfristiges Wachstum","mediumTerm","Mittelfristig","shortTerm","Kurzfristig",{"_3415":3416,"_3417":3418,"_2518":2519,"_3419":3420,"_3421":3422,"_3423":3424,"_3425":3426,"_3427":3428,"_3429":3430,"_3431":3432,"_3433":3434,"_3435":3436,"_3437":3438,"_3439":3440},"initialInvestment","Anfangsinvestition ($)","initialInvestmentPlaceholder","Anfangsbetrag eingeben","interestRatePlaceholder","Zinssatz eingeben","timePeriod","Zeitraum (Jahre)","timePeriodPlaceholder","Anzahl der Jahre eingeben","regularContribution","Regelmäßiger Beitrag ($/Periode) - Optional","regularContributionPlaceholder","Regelmäßigen Beitrag eingeben","compoundFrequency","Zinseszins-Häufigkeit","daily","Täglich","monthly","Monatlich","quarterly","Vierteljährlich","semiannually","Halbjährlich","annually","Jährlich",{"_3442":3443,"_3444":3445,"_2529":2530,"_3446":3447,"_3448":3449,"_3450":3451},"futureValue","Zukünftiger Wert","totalDeposited","Insgesamt eingezahlt","interestRatio","Verhältnis Zinsen zu Kapital","initialPrincipal","Anfangskapital: {{amount}}","totalContributions","Beiträge insgesamt: {{amount}}",{"_168":3453,"_202":3454,"_1227":3455,"_947":3456,"_949":3457,"_951":3458,"_1419":3459,"_3460":3461},"Wie Zinseszins funktioniert","Zinseszins ist Zins, der sowohl auf das Anfangskapital als auch auf die angesammelten Zinsen aus früheren Perioden berechnet wird. Albert Einstein nannte es angeblich \"das achte Weltwunder\".","Tipps zur Maximierung des Wachstums","Früh anfangen - Zeit ist dein mächtigstes Werkzeug","Regelmäßige Beiträge leisten, um das Wachstum zu beschleunigen","Häufigere Zinseszinsung bedeutet etwas höhere Renditen","Dein Geld über längere Zeiträume investiert lassen","tip5","Dividenden und Zinsen reinvestieren, um Zinseszins zu maximieren",{"_452":3463},"Enter investment details to calculate returns","tools/confidence-interval-calculator",{"_168":3466,"_202":3467,"_1577":3468,"_1120":3480,"_964":3489,"_2366":3508,"_2749":3516,"_968":3521,"_384":3522,"_3530":3531,"_57":3534,"_931":3567},"Konfidenzintervall-Rechner","Berechne Konfidenzintervalle für Mittelwerte, Proportionen und Differenzen",{"_3469":1305,"_3470":3471,"_3472":3473,"_3474":3475,"_3476":3477,"_3478":3479},"calculatorMode","confidenceLevel","Konfidenzniveau","meanCI","Konfidenzintervall für Mittelwert","proportionCI","Konfidenzintervall für Proportion","twoMeansCI","Konfidenzintervall für Differenz der Mittelwerte","requiredSampleSize","Erforderliche Stichprobengröße",{"_3481":3482,"_3483":3484,"_3485":3486,"_3487":3488},"singleMean","Einzelner Mittelwert","proportion","Proportion","twoMeans","Zwei Mittelwerte","sampleSize","Stichprobengröße",{"_3490":3491,"_3487":3492,"_1816":3493,"_3494":3495,"_1802":3496,"_1812":3497,"_3498":3499,"_2388":1865,"_3500":3501,"_3502":3503,"_3504":3505,"_3506":3507},"sampleMean","Stichprobenmittelwert (x̄)","Stichprobengröße (n)","Standardabweichung (σ oder s)","usePopulationSD","Populationsstandardabweichung verwenden (z-Intervall)","Anzahl der Erfolge (x)","Mittelwert","stdDev","Standardabw.","marginOfError","Gewünschte Fehlertoleranz","estimatedSD","Geschätzte Standardabw. (für Mittelwert)","estimatedSDPlaceholder","Für Proportion leer lassen","estimatedProportion","Geschätzte Proportion",{"_3490":3509,"_3487":3510,"_1816":1116,"_1802":3511,"_3512":3513,"_3500":3514,"_3506":3515},"z.B. 75,5","z.B. 30","z.B. 45","proportionSampleSize","z.B. 100","z.B. 0,05","Standard 0,5",{"_3517":3518,"_3519":3520},"sample1","Stichprobe 1","sample2","Stichprobe 2",{"_30":31},{"_2929":3523,"_3524":3525,"_3526":3527,"_3528":3529},"Bitte gib gültige positive Zahlen ein","validProportion","Bitte gib gültige Zahlen ein (0 ≤ Erfolge ≤ Stichprobengröße)","validMarginOfError","Bitte gib eine gültige Fehlertoleranz > 0 ein","validStandardDeviation","Standardabweichung muss positiv sein","hints",{"_3532":3533},"sampleSizeNote","Für Proportionen Standardabw. leer lassen. Verwende 0,5 für maximale Stichprobengröße.",{"_168":3535,"_3536":3537,"_3538":3539,"_3478":3479,"_3540":3541,"_3542":3543,"_3500":3544,"_3545":3546,"_3547":3548,"_3549":3550,"_3551":3552,"_3553":3554,"_3555":3556,"_3557":3558,"_3559":3560,"_2949":3561,"_2951":3562,"_3563":3564,"_3565":3566},"Konfidenzintervall-Ergebnis","proportionTitle","Proportions-KI-Ergebnis","twoMeansTitle","Zwei-Mittelwerte-KI-Ergebnis","confidenceInterval","Konfidenzintervall","or","oder","Fehlertoleranz","standardError","Standardfehler","criticalValue","Kritischer Wert","intervalType","Intervalltyp","zInterval","Z-Intervall","tInterval","T-Intervall","sampleProportion","Stichprobenproportion (p̂)","pointEstimate","Punktschätzung (x̄₁ - x̄₂)","ciForDifference","KI für μ₁ - μ₂","Das Intervall enthält nicht 0 - Hinweis auf signifikanten Unterschied","Das Intervall enthält 0 - kein Hinweis auf signifikanten Unterschied","minimumSampleSize","Minimale Stichprobengröße","forConfidence","Für {{confidence}}% Konfidenz mit Fehlertoleranz ± {{margin}}",{"_168":3568,"_202":3569,"_3570":3571,"_3572":3573,"_3574":3575,"_3576":3577,"_3551":3578,"_3579":3580,"_3553":3581},"Über Konfidenzintervalle","Ein Konfidenzintervall gibt einen Bereich plausibler Werte für einen Populationsparameter basierend auf Stichprobendaten.","interpretationTitle","Interpretation:","interpretation","Wenn wir den Stichprobenprozess viele Male wiederholen würden, würden ungefähr 95% der konstruierten Intervalle den wahren Populationsparameter enthalten.","whenToUseTitle","Wann zu verwenden:","zIntervalTitle","Z-Intervall:","Bekannte Populations-σ oder großes n (≥30)","tIntervalTitle","T-Intervall:","Unbekannte Populations-σ mit kleinem n","tools/correlation-calculator",{"_168":3584,"_202":3585,"_139":3586,"_964":3593,"_1151":3601,"_57":3608,"_3572":3616,"_3637":3638,"_3648":3649,"_1048":3656,"_931":3657},"Korrelations-Rechner","Berechne den Pearson-Korrelationskoeffizienten und analysiere Beziehungen zwischen zwei Variablen",{"_3587":3588,"_3589":3590,"_3591":3592},"strongPositive","Stark +","strongNegative","Stark -","weak","Schwach",{"_3594":3595,"_3596":3597,"_2823":3598,"_3599":3600},"dataPoints","Datenpunkte eingeben","dataPointsHint","(ein x, y-Paar pro Zeile)","Punkte eingeben wie:\n1, 2\n3, 4\n5, 6","pointsDetected","{{count}} Punkte erkannt",{"_168":3602,"_3603":3604,"_3605":3606,"_2595":3607,"_3591":3592},"Streudiagramm","emptyMessage","Gib mindestens 2 Datenpunkte ein","strong","Stark","Moderat",{"_168":3609,"_3610":3611,"_3612":3613,"_3614":3615},"Korrelations-Ergebnisse","pearsonR","Pearson r","rSquared","R-Quadrat (R²)","covariance","Kovarianz",{"_168":3617,"_3618":3619,"_3620":3621,"_180":3622,"_3623":3624,"_3628":3629},"Interpretation","none","Es gibt keine lineare Beziehung zwischen den Variablen.","perfect","Es gibt eine perfekte {{direction}} lineare Beziehung. Alle Punkte liegen genau auf einer Linie.","Es gibt eine {{strength}} {{direction}} lineare Beziehung zwischen den Variablen. {{variance}}% der Varianz in Y wird durch X erklärt.","direction",{"_3625":3625,"_3626":3626,"_3618":3627},"positive","negative","keine","strength",{"_3630":3631,"_3591":3632,"_2595":3633,"_3605":3634,"_3635":3636},"very_weak","sehr schwache","schwache","mäßige","starke","very_strong","sehr starke","descriptiveStats",{"_168":3639,"_3640":3641,"_3642":3643,"_3487":3488,"_3644":3645,"_3646":3647},"Deskriptive Statistiken","meanX","Mittelwert X","meanY","Mittelwert Y","stdDevX","Standardabw. X","stdDevY","Standardabw. Y","strengthGuide",{"_168":3650,"_3620":3651,"_3652":3653,"_3605":3606,"_2595":3607,"_3591":3592,"_3654":3655},"Korrelationsstärke-Leitfaden","Perfekt","veryStrong","Sehr stark","veryWeak","Sehr schwach","Gib mindestens 2 Datenpunkte ein, um die Korrelation zu berechnen",{"_168":3658,"_3659":3660,"_3610":3663,"_3612":3666,"_1190":3668,"_3572":3675},"Über Korrelation","whatIsCorrelation",{"_168":3661,"_202":3662},"Was ist Korrelation?","Korrelation misst die Stärke und Richtung einer linearen Beziehung zwischen zwei Variablen. Sie hilft zu bestimmen, ob und wie stark Variablenpaare miteinander zusammenhängen.",{"_168":3664,"_202":3665},"Pearson-Korrelationskoeffizient (r)","Der Pearson-r-Wert reicht von -1 bis +1. Ein Wert von +1 zeigt eine perfekte positive lineare Beziehung an, -1 eine perfekte negative lineare Beziehung und 0 keine lineare Beziehung. Das Vorzeichen zeigt die Richtung der Beziehung an.",{"_168":3613,"_202":3667},"R-Quadrat repräsentiert den Anteil der Varianz in der abhängigen Variable, der aus der unabhängigen Variable vorhersagbar ist. Es reicht von 0 bis 1, wobei höhere Werte bedeuten, dass mehr Varianz durch die Beziehung erklärt wird.",{"_168":1192,"_3669":3670,"_3671":3672,"_3673":3674},"pearsonFormula","r = Σ(xi - x̄)(yi - ȳ) / √[Σ(xi - x̄)² × Σ(yi - ȳ)²]","rSquaredFormula","R² = r²","covarianceFormula","Cov(X,Y) = Σ(xi - x̄)(yi - ȳ) / (n-1)",{"_168":3676,"_202":3677},"Interpretations-Leitlinien","Korrelation bedeutet nicht Kausalität. Eine starke Korrelation zwischen zwei Variablen bedeutet nicht, dass eine die andere verursacht. Es könnten andere Faktoren beteiligt sein, oder die Beziehung könnte zufällig sein.","tools/coulombs-law-calculator",{"_168":3680,"_202":3681,"_964":3682,"_57":3708,"_1151":3724,"_139":3733,"_1007":3740,"_1190":3742,"_1153":3748,"_931":3768},"Coulomb-Gesetz-Rechner","Berechne die elektrostatische Kraft zwischen geladenen Teilchen mit dem Coulomb-Gesetz",{"_2095":2094,"_2093":3683,"_3692":3693,"_3694":3695,"_3696":3697,"_3698":3695,"_3699":3700,"_3701":2770,"_3702":3703,"_3704":3705,"_2124":2125,"_3706":3707},{"_3684":3685,"_3686":3687,"_3688":3689,"_3690":3691},"force","Kraft (F)","charge1","Ladung 1 (q₁)","charge2","Ladung 2 (q₂)","distance","Abstand (r)","charge1Label","Ladung 1 (C)","charge1Placeholder","z.B. 1e-6 oder -2e-9","charge2Label","Ladung 2 (C)","charge2Placeholder","distanceLabel","Abstand (m)","distancePlaceholder","forceLabel","Kraft (N)","forcePlaceholder","Newton","chargeHint","Verwende wissenschaftliche Notation (z.B. 1e-6 für 1 μC)",{"_168":58,"_3709":1152,"_3684":3710,"_3690":3711,"_3686":3712,"_3688":3713,"_3714":3715,"_3716":3717,"_3718":3719,"_3720":3721,"_3722":3723},"visualizationTitle","Kraft","Abstand","Ladung 1","Ladung 2","attractiveForce","Anziehende Kraft","repulsiveForce","Abstoßende Kraft","electricFieldsTitle","Elektrische Felder","electricField1","E bei q₂ durch q₁:","electricField2","E bei q₁ durch q₂:",{"_3725":3726,"_3727":3728,"_3729":3730,"_3731":3732},"attractive","Anziehend","repulsive","Abstoßend","positiveLabel","Rot = Positiv","negativeLabel","Blau = Negativ",{"_3734":3735,"_3736":3737,"_3738":3739},"opposite","Entgegengesetzte Ladungen","same","Gleiche Ladungen","small","Kleine Ladungen",{"_1046":3741},"Gib die bekannten Werte ein, um zu berechnen",{"_168":3743,"_1820":3744,"_3745":3746,"_1276":3747},"Coulomb-Gesetz","F = k|q₁||q₂|/r²","constant","N·m²/C²","Gleichnamige Ladungen stoßen sich ab, entgegengesetzte Ladungen ziehen sich an.",{"_3749":3750,"_3751":3752,"_3753":3754,"_3755":3756,"_3757":3758,"_3759":2265,"_3760":3761,"_3762":3763,"_3764":3765,"_3766":3767},"coulomb","C","milliCoulomb","mC","microCoulomb","μC","nanoCoulomb","nC","picoCoulomb","pC","newton","milliNewton","mN","microNewton","μN","meter","m","newtonPerCoulomb","N/C",{"_168":3769,"_202":3770,"_1212":1213,"_1214":3771,"_1216":3772,"_1218":3773,"_1220":3774,"_1078":1222,"_1080":3775,"_1082":3776,"_1084":3777,"_1086":3778,"_1227":1228,"_947":3779,"_949":3780,"_951":3781},"Über den Coulomb-Gesetz-Rechner","Berechne die elektrostatische Kraft zwischen zwei geladenen Teilchen. Das Coulomb-Gesetz beschreibt die Anziehungs- oder Abstoßungskraft zwischen zwei Punktladungen, grundlegend für das Verständnis von Elektrostatik und elektrischen Feldern.","Die Kraft ist direkt proportional zum Produkt der Ladungen (F ∝ q₁q₂)","Die Kraft ist umgekehrt proportional zum Quadrat des Abstands (F ∝ 1/r²)","Gleichnamige Ladungen (gleiches Vorzeichen) stoßen sich mit positiver Kraft ab","Entgegengesetzte Ladungen (unterschiedliche Vorzeichen) ziehen sich an","Physikunterricht und Elektrostatik-Hausaufgaben","Verständnis der Atomstruktur und Elektron-Proton-Wechselwirkungen","Berechnung von Kräften in elektrostatischen Experimenten","Ingenieuranwendungen in Elektronik und Teilchenphysik","Verwende wissenschaftliche Notation für sehr kleine Ladungen (z.B. 1e-6 für Mikrocoulomb)","Negative Ladungen zeigen Elektronen oder negativ geladene Objekte an","Die Visualisierung zeigt Ladungspolarität und Kraftrichtung","tools/countdown-timer",{"_168":3784,"_202":3785,"_139":3786,"_964":3793,"_2990":3798,"_3808":3809,"_1048":3812,"_931":3814},"Countdown-Timer","Live-Countdown zu jedem Datum und jeder Uhrzeit",{"_3787":3788,"_3789":3790,"_3791":3792},"newYear","Neujahr","oneWeek","Eine Woche","christmas","Weihnachten",{"_3794":3795,"_3796":3797},"targetDate","Zieldatum","targetTime","Zielzeit",{"_976":977,"_3799":3800,"_3801":3802,"_3803":2670,"_3804":3805,"_3806":3807},"hours","Stunden","minutes","Minuten","seconds","until","bis ","at"," um ","expired",{"_168":3810,"_1046":3811},"Zeit abgelaufen!","Der Countdown ist beendet",{"_1046":3813},"Wähle ein Zieldatum, um den Countdown zu starten",{"_168":3815,"_1473":3816,"_3817":3394,"_1080":3818,"_1082":3819,"_1084":3820,"_1086":3821,"_1088":3822,"_1090":3823},"So verwendest du diesen Countdown-Timer","Lege ein Zieldatum und eine Uhrzeit fest, um einen Live-Countdown zu sehen, der die verbleibenden Tage, Stunden, Minuten und Sekunden anzeigt. Der Timer aktualisiert sich automatisch jede Sekunde.","perfectForTitle","Geburtstage und Jubiläen","Feiertage und Feiern","Produkteinführungen","Event-Fristen","Urlaubs-Countdowns","Projekt-Meilensteine","tools/countdown",{"_168":3826,"_202":3827,"_139":3828,"_964":3833,"_968":3836,"_57":3837,"_931":3840},"Tage-bis-Rechner","Berechne, wie viele Tage, Wochen und Monate bis zu einem beliebigen Datum verbleiben",{"_3829":3830,"_3831":3832,"_3791":3792},"30days","30 Tage","3months","3 Monate",{"_3834":3835},"selectTargetDate","Zieldatum auswählen",{"_30":31},{"_976":977,"_3838":3839,"_974":975,"_3799":3800},"weeks","Wochen",{"_168":3841,"_3842":3843,"_3844":3845},"Beliebte Countdowns","daysUntilChristmas","Tage bis Weihnachten","daysUntilNewYear","Tage bis Neujahr","tools/csv-to-json-converter",{"_168":3848,"_202":3849,"_139":3850,"_964":3855,"_968":3880,"_1532":3886,"_384":3890,"_931":3896},"CSV zu JSON Konverter","Konvertiere CSV-Daten ins JSON-Format mit benutzerdefinierten Trennzeichen und Formatierung",{"_3851":3852,"_2873":2874,"_3853":3854},"peopleData","Personendaten","weatherData","Wetterdaten",{"_3856":3857,"_3858":3859,"_3860":3861,"_3862":3863,"_3864":3865,"_3866":3867,"_3868":3869,"_3870":3871,"_3872":3873,"_3874":3875,"_3876":3877,"_3878":3879},"csvInput","CSV-Eingabe","csvPlaceholder","Füge deine CSV-Daten hier ein...","firstRowHeaders","Erste Zeile enthält Spaltenüberschriften","delimiter","Trennzeichen","comma","Komma (,)","semicolon","Semikolon (;)","tab","Tabulator","pipe","Pipe (|)","outputFormat","Ausgabeformat","arrayOfObjects","Array von Objekten","objectKeyed","Objekt (Schlüssel ist erste Spalte)","prettyPrint","Schöne Ausgabe (eingerückt)",{"_32":3881,"_3882":3883,"_3884":3885},"In JSON konvertieren","copyJSON","JSON kopieren","downloadJSON","JSON herunterladen",{"_3887":3888,"_505":3889},"jsonOutput","JSON-Ausgabe","{{chars}} Zeichen · {{lines}} Zeilen",{"_3891":3892,"_587":3893,"_3894":3895},"emptyInput","Bitte gib CSV-Daten ein","Keine Daten in CSV gefunden","conversionError","Konvertierungsfehler: {{message}}",{"_168":3897,"_202":3898,"_3046":3047,"_3899":3900,"_3901":3902,"_3903":3904,"_3905":3906,"_3907":3908,"_3909":3910,"_3911":3912,"_3913":3914,"_3915":3916,"_3917":3918,"_3919":3920,"_3921":3922,"_1227":1228,"_947":3923,"_949":3924,"_951":3925,"_1419":3926},"So verwendest du den CSV zu JSON Konverter","Konvertiere CSV-Daten (Comma-Separated Values) ins JSON-Format. Perfekt zum Importieren von Daten in Anwendungen, APIs oder Datenbanken, die JSON-Format benötigen.","feature1","Unterstützt mehrere Trennzeichen (Komma, Semikolon, Tabulator, Pipe)","feature2","Verarbeitet CSV-Daten mit oder ohne Spaltenüberschriften","feature3","Mehrere Ausgabeformate: Array, Objekt oder schön formatiert","feature4","Behandelt Felder in Anführungszeichen und maskierte Anführungszeichen korrekt","feature5","Lade konvertiertes JSON als Datei herunter","outputFormatsTitle","Ausgabeformate","arrayLabel","Array von Objekten:","arrayDesc","Jede CSV-Zeile wird zu einem JSON-Objekt in einem Array","objectLabel","Objekt (mit Schlüssel):","objectDesc","Verwendet die erste Spalte als Schlüssel für ein JSON-Objekt","prettyLabel","Schöne Ausgabe:","prettyDesc","Formatiert mit Einrückung für bessere Lesbarkeit","Stelle sicher, dass deine CSV-Daten einheitliche Trennzeichen verwenden","Verwende Anführungszeichen um Felder, die Trennzeichen oder Zeilenumbrüche enthalten","Aktiviere \"Erste Zeile enthält Spaltenüberschriften\", wenn deine CSV Spaltennamen hat","Bei Excel-Dateien zuerst als CSV speichern, bevor du konvertierst","tools/currency-converter",{"_168":3929,"_202":3930,"_964":3931,"_968":3937,"_57":3943,"_315":3949,"_3959":3960,"_384":4021,"_931":4026},"Währungsrechner","Konvertiere zwischen Weltwährungen mit Live-Wechselkursen",{"_3932":3933,"_3934":1676,"_3935":3936},"amountLabel","Betrag","fromLabel","toLabel","Nach",{"_32":3938,"_3939":3940,"_3941":3942},"Umrechnen","swap","Tauschen","refresh","Kurse aktualisieren",{"_168":3944,"_3945":3946,"_3947":3948},"Umrechnungsergebnis","rate","Wechselkurs","updated","Kurse aktualisiert",{"_168":3950,"_3951":3952,"_3953":3954,"_3955":3956,"_3957":3958},"Beliebte Umrechnungen","usdEur","USD zu EUR","usdGbp","USD zu GBP","eurUsd","EUR zu USD","usdJpy","USD zu JPY","currencies",{"_3961":3962,"_3963":3964,"_3965":3966,"_3967":3968,"_3969":3970,"_3971":3972,"_3973":3974,"_3975":3976,"_3977":3978,"_3979":3980,"_3981":3982,"_3983":3984,"_3985":3986,"_3987":3988,"_3989":3990,"_3991":3992,"_3993":3994,"_3995":3996,"_3997":3998,"_3999":4000,"_4001":4002,"_4003":4004,"_4005":4006,"_4007":4008,"_4009":4010,"_4011":4012,"_4013":4014,"_4015":4016,"_4017":4018,"_4019":4020},"USD","US-Dollar","EUR","Euro","GBP","Britisches Pfund","JPY","Japanischer Yen","AUD","Australischer Dollar","CAD","Kanadischer Dollar","CHF","Schweizer Franken","CNY","Chinesischer Yuan","INR","Indische Rupie","MXN","Mexikanischer Peso","BRL","Brasilianischer Real","KRW","Südkoreanischer Won","SGD","Singapur-Dollar","HKD","Hongkong-Dollar","NOK","Norwegische Krone","SEK","Schwedische Krone","DKK","Dänische Krone","NZD","Neuseeland-Dollar","ZAR","Südafrikanischer Rand","RUB","Russischer Rubel","TRY","Türkische Lira","PLN","Polnischer Złoty","THB","Thailändischer Baht","IDR","Indonesische Rupiah","MYR","Malaysischer Ringgit","PHP","Philippinischer Peso","CZK","Tschechische Krone","ILS","Israelischer Schekel","AED","VAE-Dirham","SAR","Saudi-Riyal",{"_4022":4023,"_4024":4025},"fetchError","Wechselkurse können nicht abgerufen werden. Bitte versuche es später erneut.","invalidAmount","Bitte gib einen gültigen Betrag ein",{"_168":4027,"_202":4028,"_3046":3047,"_3899":4029,"_3901":4030,"_3903":4031,"_3905":4032,"_4033":4034,"_2633":4035,"_2635":4036,"_2637":4037,"_1227":1228,"_947":4038,"_949":4039,"_951":4040},"Über den Währungsrechner","Konvertiere zwischen wichtigen Weltwährungen mit Echtzeit-Wechselkursen von der Europäischen Zentralbank über die Frankfurter API.","30+ wichtige Weltwährungen","Echtzeit-Wechselkurse","Kostenlos und keine Registrierung erforderlich","Kurse von der Europäischen Zentralbank","notesTitle","Hinweise","Kurse werden täglich an Geschäftstagen aktualisiert","Wochenendkurse zeigen Freitagsschlusskurse","Für Finanztransaktionen überprüfe die Kurse bei deiner Bank","Verwende die Tauschen-Schaltfläche, um die Umrechnung schnell umzukehren","Prüfe beliebte Umrechnungen für gängige Währungspaare","Kurse können leicht von Interbankenkursen abweichen","tools/date-difference-calculator",{"_168":4043,"_202":4044,"_139":4045,"_964":4052,"_57":4053,"_931":4064,"_1007":4072},"Datumsunterschied-Rechner","Berechne den genauen Unterschied zwischen zwei Daten in mehreren Formaten",{"_4046":4047,"_4048":4049,"_4050":4051},"yearToToday","Jahr bis heute","todayToChristmas","Heute bis Weihnachten","fiveYearProject","5-Jahres-Projekt",{"_2475":2476,"_2477":2478},{"_4054":4055,"_978":979,"_980":981,"_4056":4057,"_4058":4059,"_4060":4061,"_4062":4063},"timeDifference","Zeitunterschied","totalMonths","Monate insgesamt","totalHours","Stunden insgesamt","totalMinutes","Minuten insgesamt","years","Jahre",{"_168":4065,"_202":4066,"_1552":2493,"_1080":4067,"_1082":4068,"_1084":4069,"_1086":4070,"_1088":4071},"So verwendest du diesen Datumsunterschied-Rechner","Gib zwei Daten ein, um den genauen Zeitunterschied zwischen ihnen zu berechnen. Die Ergebnisse werden in mehreren Formaten angezeigt, einschließlich Jahre, Monate, Wochen, Tage, Stunden und Minuten.","Berechne dein genaues Alter","Finde Tage bis zu einem wichtigen Ereignis","Bestimme die Projektdauer","Berechne die Zeit zwischen historischen Daten","Plane Fristen und Meilensteine",{"_452":4073},"Enter two dates to calculate difference","tools/decision-maker",{"_168":4076,"_202":4077,"_139":4078,"_964":4085,"_501":4092,"_3091":4097,"_57":4101,"_2749":4104,"_968":4107,"_931":4110},"Entscheidungshelfer","Lass den Zufall Entscheidungen für dich treffen",{"_4079":4080,"_4081":4082,"_4083":4084},"foodChoice","Essenswahl","activityChoice","Aktivitätenwahl","sequentialChoices","Aufeinanderfolgende Auswahl",{"_4086":4087,"_4088":4089,"_4090":4091},"optionsLabel","Optionen (eine pro Zeile)","optionsPlaceholder","Gib deine Optionen ein, eine pro Zeile...","excludePrevious","Vorherige Auswahl ausschließen (setzt zurück, wenn alle verwendet)",{"_4093":4094,"_4095":4096},"optionsAvailable","{{count}} Optionen verfügbar","notYetSelected","{{count}} noch nicht ausgewählt",{"_4098":4099,"_3099":4100},"deciding","Entscheide...","Bereit zu entscheiden",{"_4102":4103},"decisionIs","Die Entscheidung lautet:",{"_4105":4106},"previousChoices","Vorherige Auswahl ({{count}})",{"_4108":4109},"makeDecision","Entscheidung treffen",{"_168":4111,"_202":4112,"_301":3047,"_4113":4114,"_4115":4116,"_4117":4118,"_4119":4120,"_4121":4122,"_4123":4124,"_4125":4126,"_4127":4128},"So verwendest du den Entscheidungshelfer","Gib deine Optionen ein (eine pro Zeile), klicke auf \"Entscheidung treffen\" und lass den Zufall für dich wählen. Perfekt, wenn du dich zwischen mehreren Optionen nicht entscheiden kannst.","randomLabel","Zufällige Auswahl: ","randomDesc","Wirklich zufällige Wahl aus deinen Optionen","excludeLabel","Vorherige ausschließen: ","excludeDesc","Option, um kürzliche Auswahl zu vermeiden","animationLabel","Visuelle Animation: ","animationDesc","Animierte Entscheidungsoffenbarung","unlimitedLabel","Unbegrenzte Optionen: ","unlimitedDesc","Füge so viele Optionen hinzu, wie du möchtest","tools/derivative-calculator",{"_168":4131,"_202":4132,"_964":4133,"_1151":4140,"_57":4147,"_2198":4152,"_384":4155,"_4158":4159,"_931":4166,"_139":4185},"Ableitungs-Rechner","Berechne Ableitungen von Polynomfunktionen mit schrittweisen Lösungen und visueller Tangentengraph",{"_4134":4135,"_4136":4137,"_4138":4139},"expressionLabel","Gib eine Polynomfunktion f(x) ein","expressionPlaceholder","z.B. 3x^2 + 2x - 5","expressionHelper","Unterstützt Polynome mit x. Verwende ^ für Exponenten (z.B. x^2).",{"_4141":4142,"_4143":4144,"_4145":4146},"tangentPointLabel","Tangentenpunkt x = {{point}}","functionLine","f(x)","tangentLine","Tangente",{"_4148":4149,"_4150":4151},"originalFunction","Ableitung","stepByStepTitle","Schrittweise Lösung",{"_4153":4154},"slope","Steigung",{"_4156":4157},"parseError","Der Ausdruck konnte nicht analysiert werden. Bitte überprüfe das Format.","reference",{"_168":4160,"_4161":4144,"_4162":4163,"_4164":4165},"Häufige Ableitungsregeln","functionHeader","derivativeHeader","f'(x)","ruleHeader","Regel",{"_168":4167,"_202":4168,"_4169":4170,"_4171":4172,"_2888":1529,"_4173":4174,"_4175":4176,"_4177":4178,"_4179":4180,"_4181":4182,"_4183":4184},"Ableitungen verstehen","Eine Ableitung repräsentiert die Änderungsrate einer Funktion an jedem gegebenen Punkt. In der Analysis misst sie, wie sich die Ausgabe einer Funktion ändert, wenn sich ihre Eingabe ändert. Die Ableitung einer Funktion f(x) wird als f'(x) oder df/dx bezeichnet.","powerRuleTitle","Die Potenzregel","powerRuleDesc","Die grundlegendste Regel für Ableitungen ist die Potenzregel: wenn f(x) = x^n, dann f'(x) = n·x^(n-1). Das bedeutet, du multiplizierst mit dem Exponenten und reduzierst den Exponenten um 1.","exampleDesc","Für f(x) = 3x^2 + 2x - 5: Die Ableitung von 3x^2 ist 2·3·x^(2-1) = 6x. Die Ableitung von 2x ist 2. Die Ableitung von -5 (eine Konstante) ist 0. Daher ist f'(x) = 6x + 2.","useCasesTitle","Warum Ableitungen wichtig sind","useCase1","Finden der Steigung einer Kurve an jedem Punkt","useCase2","Bestimmen von Maximal- und Minimalwerten (Optimierung)","useCase3","Analyse von Geschwindigkeit und Beschleunigung in der Physik","useCase4","Verständnis von Änderungsraten in Wirtschaft, Biologie und Ingenieurwesen",{"_4186":4187,"_4188":4189,"_4190":4191},"cubic","x³ - 2x² + x - 1","quartic","5x⁴ + 3x²","quintic","x⁵ - x³ + x","tools/determinant-calculator",{"_168":4194,"_202":4195,"_964":4196,"_1151":4199,"_57":4208,"_931":4219},"Determinanten-Rechner","Berechne Matrixdeterminanten, Spur und Inverse mit 2D-Transformations-Visualisierung",{"_4197":4198},"matrixSize","Matrixgröße",{"_4200":4201,"_4202":4203,"_4204":4205,"_4206":4207},"only2x2","2D-Visualisierung nur für 2×2-Matrizen","areaScale","Flächenskalierung","unitSquare","Einheitsquadrat","transformed","Transformiert",{"_168":58,"_4209":4210,"_4211":4212,"_501":502,"_4213":4214,"_4215":4216,"_4217":4218},"determinant","Determinante","trace","Spur","invertible","Invertierbar","singular","Singulär","inverseMatrix","Inverse Matrix",{"_168":4220,"_202":4221,"_4222":4223,"_4224":4225,"_4226":4227,"_4228":4229,"_3570":3617,"_4230":4231,"_4232":4233,"_4234":4235,"_4236":4237,"_4238":4239,"_4240":4241,"_1149":1192,"_4242":4243,"_4244":4245},"Über Matrixdeterminanten","Die Determinante ist ein Skalarwert, der wichtige Informationen über eine quadratische Matrix kodiert. Sie ist fundamental in der linearen Algebra und hat geometrische und algebraische Interpretationen.","propertiesTitle","Wichtige Eigenschaften","property1","det(AB) = det(A) × det(B) - Die Determinante eines Produkts entspricht dem Produkt der Determinanten","property2","det(A⁻¹) = 1/det(A) - Die Determinante einer Inversen entspricht dem Kehrwert der Determinante","property3","det(kA) = k^n × det(A) - Skalarmultiplikation skaliert die Determinante um k^n, wobei n die Matrixgröße ist","geometricLabel","Geometrisch:","geometricDesc","Für eine 2×2-Matrix repräsentiert |det(A)| den Flächenskalierungsfaktor der linearen Transformation. Für 3×3 ist es der Volumenskalierungsfaktor.","algebraicLabel","Algebraisch:","algebraicDesc","Eine von Null verschiedene Determinante bedeutet, dass die Matrix vollen Rang hat und invertierbar ist. Sie repräsentiert, dass das Gleichungssystem eine eindeutige Lösung hat.","zeroDetLabel","Null-Determinante:","zeroDetDesc","Bedeutet, dass die Transformation den Raum kollabiert (auf eine niedrigere Dimension quetscht) und die Matrix singulär (nicht-invertierbar) ist.","formula2x2","Für eine 2×2-Matrix [[a, b], [c, d]]:","formula3x3","Für eine 3×3-Matrix verwende Kofaktor-Entwicklung oder Sarrus-Regel:","tools/dice-roller",{"_168":4248,"_202":4249,"_139":4250,"_964":4257,"_4282":4283,"_3091":4298,"_57":4305,"_968":4307,"_2749":4310,"_931":4312},"Würfel-Roller","Würfle virtuelle Würfel für Spiele und Entscheidungen",{"_4251":4252,"_4253":4254,"_4255":4256},"singleD20","Einzelner w20","twoD6","Zwei w6 (2w6)","fourD6","Vier w6 (4w6)",{"_4258":4259,"_4260":4261,"_4262":4263,"_4264":4265,"_4266":4267,"_4268":4269,"_4270":4271,"_4272":4273,"_4274":4275,"_4276":4277,"_4278":4279,"_4280":4281},"numberOfDice","Anzahl der Würfel","oneDie","1 Würfel","twoDice","2 Würfel","threeDice","3 Würfel","fourDice","4 Würfel","fiveDice","5 Würfel","sixDice","6 Würfel","sevenDice","7 Würfel","eightDice","8 Würfel","nineDice","9 Würfel","tenDice","10 Würfel","diceType","Würfeltyp","diceTypes",{"_4284":4285,"_4286":4287,"_4288":4289,"_4290":4291,"_4292":4293,"_4294":4295,"_4296":4297},"d4","w4 (4-seitig)","d6","w6 (6-seitig)","d8","w8 (8-seitig)","d10","w10 (10-seitig)","d12","w12 (12-seitig)","d20","w20 (20-seitig)","d100","w100 (100-seitig)",{"_4299":4300,"_4301":4302,"_4303":4304},"rolling","Würfle {{numDice}}{{diceType}}","rollingInProgress","Würfelt...","readyToRoll","Bereit zum Würfeln",{"_1683":4306},"Gesamt: {{total}}",{"_4308":4309,"_3104":3105},"roll","Würfle {{num}}{{type}}",{"_4311":3109},"rollHistory",{"_168":4313,"_202":4314,"_301":3047,"_4315":4316,"_4317":4318,"_4319":4320,"_4321":4322,"_3133":3134,"_3135":3121,"_4323":4324,"_4325":4326},"So verwendest du den Würfel-Roller","Wähle die Anzahl der Würfel und den Würfeltyp, dann klicke auf \"Würfeln\", um zufällige Ergebnisse zu erhalten. Perfekt für Tischrollenspiele, RPGs oder jede Situation, die Würfelwürfe erfordert.","multipleTypesLabel","Mehrere Würfeltypen:","multipleTypesDesc","Unterstützung für w4, w6, w8, w10, w12, w20, w100","multipleDiceLabel","Mehrere Würfel:","multipleDiceDesc","Würfle bis zu 10 Würfel auf einmal","visualLabel","Visuelle Ergebnisse:","visualDesc","Individuelle Würfelwerte und Gesamtsumme klar angezeigt","tools/diff-checker",{"_168":4329,"_202":4330,"_139":4331,"_964":4344,"_968":4353,"_4356":4357,"_505":4362,"_57":4369,"_931":4377},"Diff-Prüfer","Vergleiche zwei Texte und hebe die Unterschiede hervor",{"_4332":4333,"_4334":4335,"_4336":4337,"_4338":4339,"_4340":4341,"_4342":4343},"simpleText","Einfacher Text","simpleTextOriginal","Hallo Welt\nDies ist ein Test\nEtwas Text hier\nLetzte Zeile","simpleTextModified","Hallo Welt\nDies ist ein geänderter Test\nEtwas Text hier\nNeue Zeile hinzugefügt\nLetzte Zeile","codeChange","Code-Änderung","codeChangeOriginal","function berechnen(a, b) {\n return a + b;\n}","codeChangeModified","function berechnen(a, b) {\n const ergebnis = a + b;\n return ergebnis;\n}",{"_4345":4346,"_4347":4348,"_4349":4350,"_4351":4352},"originalText","Originaltext","originalPlaceholder","Originaltext hier einfügen...","modifiedText","Geänderter Text","modifiedPlaceholder","Geänderten Text hier einfügen...",{"_4354":4355},"compare","Texte vergleichen","viewModes",{"_4358":4359,"_4360":4361},"sideBySide","Nebeneinander","unified","Vereinheitlicht",{"_4363":4364,"_4365":4366,"_4367":4368},"added","Hinzugefügt","removed","Entfernt","unchanged","Unverändert",{"_4370":4371,"_1380":4372,"_4373":4374,"_4375":4376},"comparisonResult","Vergleichsergebnis","Original","modified","Geändert","unifiedDiff","Vereinheitlichter Diff",{"_168":4378,"_202":4379,"_4380":4381,"_4382":4383,"_4384":4385,"_4386":4387,"_4388":4389,"_4390":4391,"_4392":4393,"_4356":4394,"_4395":4396,"_4397":4398,"_4399":4400,"_4401":4402,"_1552":2493,"_1080":4403,"_1082":4404,"_1084":4405,"_1086":4406,"_1088":4407},"So verwendest du den Diff-Prüfer","Vergleiche zwei Versionen von Text, um zu sehen, was sich geändert hat. Perfekt für Code-Reviews, Dokumentenrevisionen und Verfolgung von Änderungen in jeder Textdatei.","colorCoding","Farbcodierung","greenLabel","Grün (+ Symbol): ","greenDesc","Zeilen, die in der geänderten Version hinzugefügt wurden","redLabel","Rot (- Symbol): ","redDesc","Zeilen, die aus der Originalversion entfernt wurden","whiteLabel","Weiß: ","whiteDesc","Zeilen, die unverändert bleiben","Ansichtsmodi","sideBySideLabel","Nebeneinander: ","sideBySideDesc","Zeige Original- und geänderte Versionen nebeneinander an","unifiedLabel","Vereinheitlicht: ","unifiedDesc","Zeige alle Änderungen in einer einzigen Spalte (wie Git-Diffs)","Code-Review und Versionsvergleich","Dokumentenrevisions-Verfolgung","Konfigurationsdatei-Änderungen","Textdatei-Zusammenführung und Konfliktlösung","Qualitätssicherung und Testing","tools/dilution-calculator",{"_168":4410,"_202":4411,"_139":4412,"_964":4419,"_1120":4452,"_4461":4462,"_968":4463,"_384":4464,"_57":4473,"_931":4505,"_1007":4518},"Verdünnungs-Rechner","Berechne Lösungsverdünnungen mit der M₁V₁ = M₂V₂ Gleichung",{"_4413":4414,"_4415":4416,"_4417":4418},"basicDilution","M₁V₁ = M₂V₂","serialDilution","Serielle Verdünnung 1:10","stockSolution","Stammlösungs-Vorbereitung",{"_3469":1305,"_4420":4421,"_4422":4423,"_4424":4425,"_4426":3513,"_4427":4428,"_4429":2120,"_4430":4431,"_4432":4433,"_2093":2094,"_4434":4435,"_4436":4423,"_4437":4438,"_4439":1116,"_4440":4441,"_4442":1238,"_4443":4444,"_4445":4423,"_4446":4447,"_4448":2120,"_4449":4450,"_4451":3513},"m1","M₁ (Anfangskonzentration)","m1Placeholder","z.B. 1,0","v1","V₁ (Anfangsvolumen)","v1Placeholder","m2","M₂ (Endkonzentration)","m2Placeholder","v2","V₂ (Endvolumen)","v2Placeholder","z.B. 1000","initialConcentration","Anfangskonzentration","initialConcentrationPlaceholder","dilutionFactor","Verdünnungsfaktor","dilutionFactorPlaceholder","numberOfDilutions","Anzahl der Verdünnungen","numberOfDilutionsPlaceholder","stockConcentration","Stammkonzentration (M)","stockConcentrationPlaceholder","desiredConcentration","Gewünschte Konzentration (M)","desiredConcentrationPlaceholder","desiredVolume","Gewünschtes Volumen (mL)","desiredVolumePlaceholder",{"_4453":4414,"_4454":4455,"_4456":4457,"_4458":4459,"_4460":4418},"dilution","dilutionEquation","Verdünnungsgleichung: M₁V₁ = M₂V₂","serial","Serielle Verdünnung","stock","Stammlösung","stockPreparation","variables",{"_4420":4421,"_4424":4425,"_4427":4428,"_4430":4431},{"_30":31},{"_4465":4466,"_4467":4468,"_4469":4470,"_4471":4472},"invalidDilution","Ungültige Eingabe oder physikalisch unmögliche Verdünnung","invalidNumbers","Bitte gib gültige Zahlen ein","factorTooSmall","Verdünnungsfaktor muss größer als 1 sein","concentrationTooHigh","Gewünschte Konzentration kann Stammkonzentration nicht übersteigen",{"_4474":4475,"_4420":4476,"_4424":4477,"_4427":4478,"_4430":4479,"_4480":4481,"_4437":4438,"_4482":4483,"_4484":4485,"_4486":4487,"_4488":4489,"_4490":4491,"_4492":4493,"_4494":4495,"_4496":4418,"_926":4497,"_2404":4498,"_2406":4499,"_2408":4500,"_4501":4502,"_4503":4504},"dilutionResult","Verdünnungsergebnis","M₁","V₁","M₂","V₂","solventToAdd","Hinzuzufügendes Lösungsmittel","serialDilutionResults","Serielle Verdünnungsergebnisse","step","Schritt","concentration","Konzentration","totalDilution","Gesamtverdünnung","dilutionRatio","1:{{value}}","finalConcentration","Endkonzentration","totalDilutionValue","Gesamtverdünnung: 1:{{value}}","stockSolutionPreparation","Anweisungen:","Miss {{volume}} mL Stammlösung","Füge {{volume}} mL Lösungsmittel hinzu","Gründlich mischen","stockVolume","Stammvolumen","solventVolume","Lösungsmittelvolumen",{"_168":4506,"_2850":4507,"_4508":4509,"_4510":4511,"_4512":4513,"_4514":4515,"_4516":4517},"Über Verdünnungsberechnungen","Die Verdünnungsgleichung M₁V₁ = M₂V₂ verknüpft Konzentration und Volumen vor und nach der Verdünnung.","m1Definition","M₁ = Anfangskonzentration","v1Definition","V₁ = Anfangsvolumen (zu verwendendes Stammvolumen)","m2Definition","M₂ = Endkonzentration (immer niedriger)","v2Definition","V₂ = Endvolumen (Gesamtvolumen nach Verdünnung)","serialDescription","Serielle Verdünnung wird verwendet, um einen Bereich von Konzentrationen zu erstellen, indem wiederholt mit demselben Faktor verdünnt wird. Dies wird häufig in Mikrobiologie, Chemie und Pharmakologie verwendet, um Standardkurven vorzubereiten oder sehr niedrige Konzentrationen zu erreichen.",{"_452":4519},"Enter concentrations to calculate dilution","tools/discount-calculator",{"_168":4522,"_202":4523,"_139":4524,"_964":4531,"_2749":4540,"_16":4543,"_57":4555,"_931":4563,"_1007":4575},"Rabatt-Rechner","Berechne, wie viel du sparst und deinen Endpreis nach Anwendung eines Rabatts",{"_4525":4526,"_4527":4528,"_4529":4530},"twentyOff","20% Rabatt auf 50$","thirtyOff","30% Rabatt auf 100$","fifteenOff","15% Rabatt auf 250$",{"_4532":4533,"_4534":4535,"_4536":4537,"_4538":4539},"originalPrice","Originalpreis ($)","originalPricePlaceholder","Originalpreis eingeben","discount","Rabatt (%)","discountPlaceholder","Rabattprozentsatz eingeben",{"_4541":4542},"commonDiscounts","Häufige Rabatte:",{"_4544":4545,"_4546":4547,"_4548":4549,"_4550":4551,"_4552":4553,"_2055":4554},"ten","10% Rabatt","fifteen","15% Rabatt","twenty","20% Rabatt","twentyFive","25% Rabatt","thirty","30% Rabatt","50% Rabatt",{"_4556":4557,"_4558":4559,"_4532":4560,"_4561":4562},"finalPrice","Endpreis","youSave","Du sparst {{amount}} ({{percent}}% Rabatt)","Originalpreis","savings","Du sparst",{"_168":4564,"_202":4565,"_4566":4567,"_2404":4568,"_2406":4569,"_2408":4570,"_4571":4572,"_4573":4574},"So verwendest du diesen Rabatt-Rechner","Dieser Rechner hilft dir schnell zu bestimmen, wie viel du sparst und deinen Endpreis, wenn ein Rabatt angewendet wird. Perfekt zum Einkaufen, Vergleichen von Angeboten und Budgetieren.","quickGuide","Schnellanleit ung","Gib den Originalpreis des Artikels ein","Gib den Rabattprozentsatz ein (z.B. 20 für 20% Rabatt)","Sieh deine Ersparnis und den Endpreis sofort","shoppingTips","Einkaufstipps","shoppingTipsDesc","Verwende diesen Rechner in Geschäften, um schnell herauszufinden, ob sich ein Angebot lohnt, oder um Preise bei verschiedenen Einzelhändlern mit unterschiedlichen Rabattprozentsätzen zu vergleichen.",{"_452":4576},"Enter price and discount to calculate savings","tools/doppler-effect-calculator",{"_168":4579,"_202":4580,"_139":4581,"_964":4592,"_57":4618,"_1151":4638,"_1190":4647,"_931":4654},"Doppler-Effekt-Rechner","Berechne Frequenzverschiebungen für bewegte Schall- und Lichtquellen",{"_4582":4583,"_4584":4585,"_4586":4587,"_4588":4589,"_4590":4591},"ambulanceSiren","Sich nähernde Krankenwagensirene","trainHorn","Sich entfernende Zugsirene","carRadio","Auto bewegt sich zur Quelle","approachingStar","Sich nähernder Stern","recedingGalaxy","Sich entfernende Galaxie",{"_4593":4594,"_4595":4596,"_4597":4598,"_4599":4600,"_4601":4600,"_4602":4603,"_4604":4605,"_4606":4607,"_4608":4609,"_4610":4611,"_4612":4613,"_4614":4615,"_4616":4617},"waveType","Wellentyp","soundWaves","Schallwellen","lightRelativistic","Licht (Relativistisch)","sourceFrequency","Quellenfrequenz (Hz)","sourceFrequencyHz","speedOfSound","Schallgeschwindigkeit (m/s)","sourceVelocity","Quellengeschwindigkeit (m/s)","sourceVelocityHint","Positiv = zum Beobachter","observerVelocity","Beobachtergeschwindigkeit (m/s)","observerVelocityHint","Positiv = zur Quelle","relativeVelocity","Relativgeschwindigkeit (m/s)","relativeVelocityHint","Positiv = sich nähernd","visibleLightRange","Sichtbares Licht: ~4×10¹⁴ bis 8×10¹⁴ Hz",{"_4619":4620,"_4621":4622,"_4623":4622,"_4624":4625,"_4626":4627,"_4628":4629,"_4630":4631,"_4632":4633,"_4634":4635,"_4636":4637},"observedFrequency","Beobachtete Frequenz","frequencyShift","Frequenzverschiebung","frequencyShiftPercent","shift","Verschiebung","sourceWavelength","Quellen-λ","observedWavelength","Beobachtetes λ","blueshiftHigherPitch","Blauverschiebung (Höherer Ton)","redshiftLowerPitch","Rotverschiebung (Tieferer Ton)","blueshift","Blauverschiebung","redshift","Rotverschiebung",{"_168":1152,"_4639":4640,"_4641":4642,"_4630":4631,"_4632":4633,"_4634":4635,"_4636":4637,"_4643":4644,"_4645":4646,"_2960":2961},"source","Quelle","observer","Beobachter","approaching","Sich nähernd","receding","Sich entfernend",{"_168":1192,"_4648":4649,"_83":4650,"_4651":4652,"_202":4653},"sound","Schall","Licht","beta","wobei","Sich nähernde Objekte erscheinen mit höherer Frequenz (Blauverschiebung), sich entfernende Objekte mit niedrigerer (Rotverschiebung).",{"_168":4655,"_202":4656,"_4657":4596,"_4658":4659,"_4660":4661,"_4662":4663},"Über den Doppler-Effekt","Der Doppler-Effekt ist die Änderung der Frequenz oder Wellenlänge einer Welle in Bezug auf einen Beobachter, der sich relativ zur Wellenquelle bewegt. Er tritt bei allen Wellenarten auf, einschließlich Schall, Licht und Wasserwellen.","soundTitle","soundDescription","Wenn sich eine Schallquelle auf dich zubewegt (wie eine Krankenwagensirene), werden die Schallwellen komprimiert, was zu einer höheren Tonhöhe führt. Wenn sie sich entfernt, werden die Wellen gedehnt und erzeugen eine tiefere Tonhöhe. Die Schallgeschwindigkeit in Luft bei 20°C beträgt etwa 343 m/s.","lightTitle","Lichtwellen (Relativistisch)","lightDescription","Für Licht von astronomischen Objekten erfordert der Doppler-Effekt relativistische Berechnungen. Sich nähernde Objekte zeigen Blauverschiebung (kürzere Wellenlänge), während sich entfernende Objekte Rotverschiebung zeigen (längere Wellenlänge). Dieses Prinzip wird verwendet, um die Bewegung von Sternen und Galaxien zu messen, und war ein entscheidender Beweis für die Expansion des Universums.","tools/drift-game",{"_168":4666,"_202":4667,"_366":4668},"Drift","Ein entspannendes Zen-Spiel, bei dem Sie friedlich durch wunderschöne Umgebungen schweben, sammeln und treiben.","Kostenloses Zen-Schwebesspiel. Treiben Sie durch Himmel-, Unterwasser- oder Weltraumthemen. Entspannendes physikbasiertes Gameplay ohne Ziele oder Druck.","tools/eigenvalue-calculator",{"_168":4671,"_202":4672,"_964":4673,"_139":4676,"_1151":4683,"_57":4687,"_1190":4711,"_931":4714},"Eigenwert-Rechner","Berechne Eigenwerte und Eigenvektoren für 2×2-Matrizen mit visueller Transformation",{"_4674":4675},"matrixLabel","Gib eine 2×2-Matrix ein",{"_4677":4678,"_4679":4680,"_4681":4682},"scaling","Skalierung","rotation","Rotation","shear","Scherung",{"_168":4684,"_1380":4372,"_4206":4207,"_4685":4686},"Visualisierung der linearen Transformation","arrowsHint","Pfeile zeigen Eigenvektoren (Richtungen, die unter der Transformation erhalten bleiben)",{"_4688":4689,"_4690":4691,"_4692":4693,"_4694":4695,"_4696":4697,"_4698":4699,"_4700":4701,"_4222":4702,"_4211":4703,"_4209":4704,"_4705":4706,"_4707":4708,"_4709":4710},"eigenvaluesTitle","Eigenwerte","real","Reell","complex","Komplex","eigenvalueN","Eigenwert {{n}} (λ{{n}})","eigenvectorsTitle","Eigenvektoren","eigenvectorN","Eigenvektor {{n}} (v{{n}})","complexNote","Komplexe Eigenwerte deuten auf eine Rotation hin. Eigenvektoren sind ebenfalls komplex und werden nicht angezeigt.","Matrix-Eigenschaften","Spur (a + d)","Determinante (ad - bc)","discriminant","Diskriminante","polynomialTitle","Charakteristisches Polynom","polynomialNote","Eigenwerte sind die Nullstellen dieses Polynoms",{"_168":4712,"_4242":4713},"Eigenwert-Formeln","Für 2×2: λ² - (a+d)λ + (ad-bc) = 0",{"_168":4715,"_202":4716,"_4717":4718,"_4719":4720,"_4721":4722,"_2404":4723,"_2406":4724,"_2408":4725,"_2410":4726,"_4727":4728,"_4729":4730,"_4731":4732,"_4733":4734,"_4735":4736,"_4737":4738},"Eigenwerte und Eigenvektoren verstehen","Eigenwerte und Eigenvektoren sind grundlegende Konzepte der linearen Algebra, die beschreiben, wie eine Matrixtransformation bestimmte Richtungen im Raum skaliert und erhält.","whatAreTheyTitle","Was sind Eigenwerte und Eigenvektoren?","whatAreTheyDesc","Ein Eigenvektor ist ein Vektor ungleich null, der nur skaliert (nicht rotiert) wird, wenn eine Matrixtransformation angewendet wird. Der Eigenwert ist der Skalierungsfaktor. Für eine Matrix A, Eigenvektor v und Eigenwert λ gilt: Av = λv","howToCalculateTitle","Berechnung (2×2-Matrix)","Finde das charakteristische Polynom: det(A - λI) = 0","Für Matrix [[a,b],[c,d]] ergibt sich: λ² - (a+d)λ + (ad-bc) = 0","Löse mit der quadratischen Formel: λ = (Spur ± √Diskriminante) / 2","Löse für jeden Eigenwert (A - λI)v = 0, um die Eigenvektoren zu finden","applicationsTitle","Praxisanwendungen","app1","Physik: Analyse von Schwingungen, Quantenmechanik und Systemstabilität","app2","Computergrafik: 3D-Transformationen, Hauptkomponentenanalyse","app3","Data Science: Dimensionsreduktion (PCA), Empfehlungssysteme","app4","Ingenieurwesen: Strukturanalyse, Regelungstechnik, Signalverarbeitung","app5","Maschinelles Lernen: Merkmalsextraktion, Bildkompression, Clustering","tools/electric-field-calculator",{"_168":4741,"_202":4742,"_964":4743,"_57":4760,"_2198":4777,"_139":4782,"_1007":4788,"_1190":4790,"_931":4797},"Elektrisches Feld Rechner","Berechne elektrische Felder und Potentiale von mehreren Punktladungen mit dem Coulomb-Gesetz",{"_4744":4745,"_4746":4747,"_4748":4749,"_4750":4751,"_4752":4753,"_4754":4755,"_4756":4757,"_4758":4759},"chargesTitle","Punktladungen","chargeLabel","Ladung (C)","xLabel","X-Position (m)","yLabel","Y-Position (m)","addCharge","Ladung hinzufügen","observationTitle","Beobachtungspunkt","observationXLabel","X-Koordinate (m)","observationYLabel","Y-Koordinate (m)",{"_4761":4762,"_4763":4764,"_4765":4766,"_4767":4768,"_4769":4770,"_3251":4771,"_1261":1262,"_2957":4772,"_3690":3711,"_4773":4771,"_4774":4775,"_1151":4776},"fieldMagnitude","Feldstärke","potential","Elektrisches Potential","vectorComponents","Vektorkomponenten","ex","Ex","ey","Ey","|E|","Beitrag von jeder Ladung","field","potentialContribution","V","Feldvisualisierung",{"_4778":4779,"_4780":4781},"redPositive","Rot = +Q","blueNegative","Blau = -Q",{"_4783":4784,"_4785":4786,"_2736":4787},"singlePositive","Einzelne positive Ladung","dipole","Elektrischer Dipol","Dreieckskonfiguration",{"_1046":4789},"Füge Ladungen hinzu und gib einen Beobachtungspunkt an, um das elektrische Feld zu berechnen",{"_168":4791,"_4773":4792,"_4763":4793,"_3745":4794,"_3623":4795,"_202":4796},"Formeln für elektrische Felder","E = kQ/r²","V = kQ/r","k = 8,99×10⁹ N·m²/C²","Feld: Weg von +Q, hin zu -Q","Das elektrische Feld an einem Punkt ist die Vektorsumme der Felder aller Ladungen. Das Potential ist ein Skalar und wird algebraisch addiert.",{"_168":4798,"_202":4799,"_1212":1213,"_1214":4800,"_1216":4801,"_1218":4802,"_1220":4803,"_4727":1222,"_4804":4805,"_4806":4807,"_4808":4809,"_4810":4811,"_1227":1228,"_947":4812,"_949":4813,"_951":4814},"Über den Elektrisches Feld Rechner","Berechne das elektrische Feld und Potential an jedem Punkt aufgrund mehrerer Punktladungen. Dieses Tool verwendet das Coulomb-Gesetz und das Superpositionsprinzip, um den resultierenden elektrischen Feldvektor und das skalare Potential zu berechnen.","Die elektrische Feldstärke nimmt mit dem Quadrat des Abstands ab (Abstandsquadratgesetz)","Positive Ladungen erzeugen Felder, die radial nach außen zeigen; negative Ladungen zeigen nach innen","Elektrische Felder sind Vektoren und werden mittels Vektoraddition addiert (Superpositionsprinzip)","Das elektrische Potential ist eine skalare Größe, die algebraisch addiert wird","application1","Elektrostatikaufgaben in Physikkursen","application2","Verständnis von Ladungsverteilungen und Feldmustern","application3","Analyse elektrischer Dipole und Multipolkonfigurationen","application4","Berechnung von Kräften auf Testladungen in elektrischen Feldern","Verwende wissenschaftliche Notation für Ladungen (z.B. 1e-6 für 1 Mikrocoulomb)","Die Visualisierung zeigt Feldlinien (rot für positiv, blau für negativ)","Der blaue Pfeil am Punkt P zeigt die Richtung und relative Stärke des resultierenden Feldes","tools/electrochemistry-calculator",{"_168":4817,"_202":4818,"_931":4819,"_139":4831,"_964":4838,"_57":4860,"_4871":4872,"_3258":4874,"_4875":4876,"_553":4882,"_1190":4889,"_4906":4907,"_2198":4931},"Elektrochemie-Rechner","Berechne Zellpotentiale und Gibbs-Energie für galvanische Zellen",{"_168":4820,"_202":4821,"_1212":1213,"_1214":4822,"_1216":4823,"_1218":4824,"_1220":4825,"_4727":4826,"_4804":4827,"_4806":4828,"_4808":4829,"_4810":4830},"Über Elektrochemie","Berechne Zellpotentiale, Gibbs-Energie und bestimme die Spontaneität von Redoxreaktionen in galvanischen (voltaischen) Zellen. Visualisiere den Elektronenfluss und verstehe Halbreaktionen mit Standardreduktionspotentialen.","Das Standardzellpotential (E°Zelle) wird aus der Differenz zwischen Kathoden- und Anodenreduktionspotentialen berechnet","Positives E°Zelle zeigt eine spontane Reaktion an (negatives ΔG)","Die Nernst-Gleichung passt das Zellpotential für nicht-standardisierte Bedingungen an (Konzentration, Temperatur)","Die Gibbs-Energie (ΔG) steht in Beziehung zum Zellpotential: ΔG = -nFE","Anwendungen","Design und Analyse von Batterien und Brennstoffzellen","Korrosionsschutz und Galvanisierungsprozesse","Bestimmung der Spontaneität von Redoxreaktionen","Verständnis biologischer Elektronentransportketten",{"_4832":4833,"_4834":4835,"_4836":4837},"copperZinc","Kupfer-Zink-Zelle (1,10 V)","silverCopper","Silber-Kupfer-Zelle (0,46 V)","chlorineBromine","Chlor-Brom-Zelle (0,29 V)",{"_4839":4840,"_4841":4842,"_4843":4844,"_4845":4846,"_4847":4848,"_4849":4850,"_4851":4848,"_4852":4853,"_4854":4855,"_4856":4857,"_4858":4859},"useCustom","Benutzerdefinierte Elektrodenpotentiale verwenden","cathodeLabel","Kathode (Reduktion)","anodeLabel","Anode (Oxidation)","customCathodeLabel","Kathoden-E° (V)","customCathodePlaceholder","Standardreduktionspotential","customAnodeLabel","Anoden-E° (V)","customAnodePlaceholder","electronsLabel","Anzahl übertragener Elektronen (n)","useNernst","Nernst-Gleichung anwenden (nicht-standardisierte Bedingungen)","reactionQuotientLabel","Reaktionsquotient (Q)","temperatureLabel","Temperatur (K)",{"_4861":4862,"_4863":4864,"_4865":4866,"_4867":4868,"_4869":4870,"_51":52,"_53":54},"cellPotentialTitle","Zellpotential","standardPotential","Standardzellpotential (E°Zelle)","cellPotential","Zellpotential (E)","gibbsEnergy","Gibbs-Energie (ΔG)","spontaneous","Spontan?","diagram",{"_168":4873},"Galvanisches Zellen-Diagramm",{"_168":3259},"halfReactions",{"_168":4877,"_4878":4879,"_4880":4881},"Halbreaktionen","cathode","Kathode (Reduktion):","anode","Anode (Oxidation):",{"_168":4883,"_4884":4885,"_4886":4887,"_4763":4888},"Standardreduktionspotentiale","species","Spezies","reaction","Halbreaktion","E° (V)",{"_168":3267,"_4865":4890,"_4891":4892,"_4893":4894,"_4895":4896,"_4897":4898,"_4899":4900,"_1227":4901,"_947":4902,"_949":4903,"_951":4904,"_1419":4905},"E°Zelle = E°Kathode - E°Anode","nernst","Nernst: E = E° - (RT/nF)ln(Q)","nernst25","Bei 25°C: E = E° - (0,0592/n)log(Q)","gibbs","Gibbs: ΔG = -nFE","constantR","R = 8,314 J/(mol·K)","constantF","F = 96485 C/mol","Tipps:","Höheres E° bedeutet stärkeres Oxidationsmittel (wahrscheinlicher zu reduzieren)","Spontane Reaktionen haben positives E°Zelle und negatives ΔG","An der Anode findet Oxidation statt (verliert Elektronen)","An der Kathode findet Reduktion statt (gewinnt Elektronen)","calculation",{"_4908":4909,"_4910":4911,"_4912":4913,"_4914":4915,"_4916":4917,"_4918":4919,"_4920":4921,"_4922":4923,"_4924":4925,"_4926":4927,"_4869":4928,"_4929":4930},"cellPotentialFormula","Zellpotential: E°Zelle = E°Kathode - E°Anode","cathodeReduction","E°Kathode (Reduktion) = {{value}} V","anodeReduction","E°Anode (Reduktionspotential) = {{value}} V","cellPotentialCalc","E°Zelle = {{cathode}} - {{anode}} = {{result}} V","nernstApplied","Anwendung der Nernst-Gleichung für nicht-standardisierte Bedingungen:","cellPotentialValue","E = {{value}} V","gibbsFormula","Freie Gibbs-Energie: ΔG = -nFE","gibbsCalc","ΔG = -{{n}} × {{F}} × {{E}}","gibbsResult","ΔG = {{jmol}} J/mol = {{kjmol}} kJ/mol","spontaneity","Reaktion ist {{status}} (E {{comparison}} 0)","SPONTAN","nonspontaneous","NICHT SPONTAN",{"_4878":4932,"_4880":4933,"_4934":4935,"_4843":4936,"_4841":4937,"_4938":4939,"_4940":4941,"_4942":4943,"_4944":4945},"Kathode","Anode","saltBridge","Salzbrücke","Anode (-)","Kathode (+)","oxidation","Oxidation","reduction","Reduktion","cationsFlow","Kationen →","anionsFlow","← Anionen","tools/emoji-picker",{"_168":4948,"_202":4949,"_139":4950,"_964":4956,"_2749":4960,"_1466":4964,"_931":4969},"Emoji-Auswahl","Durchsuche und kopiere Emojis schnell",{"_4951":4952,"_4953":4954,"_837":4955},"smileys","Smileys & Gesichter","symbols","Herzen & Symbole","Essen & Getränke",{"_4957":4958,"_230":4959},"search","Emojis durchsuchen","Emojis suchen...",{"_1899":4961,"_4962":4963,"_1037":1040},"Kategorien","searchResults","Suchergebnisse ({{count}})",{"_22":23,"_4965":4966,"_4967":4968},"noEmojis","Keine Emojis gefunden","copiedToClipboard","In Zwischenablage kopiert:",{"_168":4970,"_202":4971,"_301":3047,"_4972":4973,"_4974":4975,"_4976":4977,"_4978":4979,"_4980":4981,"_4982":4983,"_4984":4985,"_4986":4987},"So verwendest du die Emoji-Auswahl","Durchsuche Emojis nach Kategorie oder suche nach bestimmten. Klicke auf ein beliebiges Emoji, um es in deine Zwischenablage zu kopieren, und füge es dann überall ein, wo du es brauchst.","categoriesLabel","Kategorien:","categoriesDesc","Durchsuche Emojis organisiert nach Smileys, Symbolen, Objekten, Tieren und Essen","searchLabel","Suche:","searchDesc","Finde Emojis schnell mit der Suchfunktion","clickLabel","Zum Kopieren klicken:","clickDesc","Ein Klick kopiert das Emoji in die Zwischenablage","feedbackLabel","Visuelles Feedback:","feedbackDesc","Sieh eine Bestätigung, wenn das Emoji kopiert wurde","tools/enzyme-kinetics-calculator",{"_168":4990,"_202":4991,"_964":4992,"_5010":5011,"_57":5031,"_139":5053,"_1190":5059,"_1007":5069,"_931":5071},"Enzymkinetik-Rechner","Berechne Michaelis-Menten-Kinetik, Lineweaver-Burk-Diagramme und Enzyminhibition",{"_4993":4994,"_4995":4996,"_4997":4998,"_4999":5000,"_5001":5002,"_5003":5004,"_3594":5005,"_5006":5007,"_5008":5009},"inputMethod","Eingabemethode","enterParameters","Parameter eingeben","fitFromData","Aus Daten anpassen","vmax","Vmax (Maximalgeschwindigkeit)","km","Km (Michaelis-Konstante)","substrate","[S] (Substratkonzentration)","Datenpunkte (S, v pro Zeile)","dataHint","Gib Substratkonzentration und Geschwindigkeitspaare ein, eines pro Zeile","dataPlaceholder","1, 16.7\n2, 28.6\n5, 50.0","inhibition",{"_168":5012,"_5013":5014,"_3618":5015,"_5016":5017,"_5018":5019,"_5020":5021,"_4486":5022,"_5023":5024,"_5025":5026,"_5027":5028,"_5029":5030},"Inhibition","type","Inhibitionstyp","Keine Inhibition","competitive","Kompetitiv","noncompetitive","Nicht-kompetitiv","uncompetitive","Unkompetitiv","[I] (Inhibitorkonzentration)","ki","Ki (Inhibitorkonstante)","competitiveDesc","Kompetitiv: Inhibitor konkurriert um aktives Zentrum. Km steigt, Vmax bleibt unverändert.","noncompetitiveDesc","Nicht-kompetitiv: Inhibitor bindet an anderer Stelle. Km bleibt unverändert, Vmax sinkt.","uncompetitiveDesc","Unkompetitiv: Inhibitor bindet an ES-Komplex. Sowohl Km als auch Vmax sinken.",{"_5032":5033,"_5034":5035,"_4153":5036,"_5037":5038,"_5039":5040,"_5041":5042,"_5043":5044,"_5045":5046,"_5047":5048,"_5049":5050,"_5051":5052},"kineticParameters","Kinetische Parameter","fitQuality","Anpassungsgüte","Steigung (Km/Vmax)","intercept","Y-Achsenabschnitt (1/Vmax)","inhibitionEffects","Inhibitionseffekte","percentInhibition","% Inhibition","apparentKm","Scheinbares Km","apparentVmax","Scheinbares Vmax","velocitySummary","Geschwindigkeitszusammenfassung","atKm","Bei [S] = Km","at10Km","Bei [S] = 10×Km",{"_2710":5054,"_5055":5056,"_5057":5058},"Standard","highAffinity","Hohe Affinität","sampleData","Beispieldaten",{"_168":5060,"_5061":5062,"_5063":5064,"_5016":5065,"_5018":5066,"_5067":5068},"Enzymkinetik-Gleichungen","mm","v = (Vmax·[S]) / (Km + [S])","lb","1/v = (Km/Vmax)·(1/[S]) + 1/Vmax","Kompetitiv: scheinbares Km = Km(1 + [I]/Ki)","Nicht-kompetitiv: scheinbares Vmax = Vmax/(1 + [I]/Ki)","kmDef","Km = Substratkonzentration bei 1/2 Vmax",{"_1046":5070},"Gib Werte ein, um die Enzymkinetik zu berechnen",{"_168":5072,"_202":5073,"_1212":1213,"_1214":5074,"_1216":5075,"_1218":5076,"_1220":5077,"_1078":1222,"_1080":5078,"_1082":5079,"_1084":5080},"Über den Enzymkinetik-Rechner","Modelliere enzymkatalysierte Reaktionen mit der Michaelis-Menten-Kinetik. Dieses Tool berechnet Reaktionsgeschwindigkeiten, bestimmt kinetische Parameter aus experimentellen Daten und analysiert die Effekte verschiedener Inhibitionstypen.","Vmax ist die maximale Reaktionsgeschwindigkeit, wenn das Enzym mit Substrat gesättigt ist","Km ist die Substratkonzentration bei halbmaximaler Geschwindigkeit","Niedriges Km deutet auf hohe Enzym-Substrat-Affinität hin","Lineweaver-Burk-Diagramme linearisieren kinetische Daten zur Parameterschätzung","Biochemieforschung und Enzymcharakterisierung","Medikamentendesign und Inhibitorstudien","Analyse von Stoffwechselwegen","tools/epoch-converter",{"_168":5083,"_202":5084,"_139":5085,"_1577":5092,"_964":5099,"_968":5104,"_2749":5107,"_931":5118},"Epoch-Konverter","Konvertiere zwischen Unix-Epoch-Zeitstempeln und lesbaren Daten",{"_5086":5087,"_5088":5089,"_5090":5091},"unixStart","Unix-Epoch-Start","y2k","Y2K (01.01.2000)","currentTime","Aktuelle Zeit",{"_5093":5094,"_5095":5096,"_5097":5098},"currentTimestamp","Aktueller Unix-Zeitstempel","epochToDate","Epoch zu Datum","dateToEpoch","Datum zu Epoch",{"_700":5100,"_5101":5102,"_1594":1595,"_594":5103},"Unix-Zeitstempel (Sekunden oder Millisekunden)","timestampPlaceholder","z.B. 1234567890","Zeit (optional)",{"_5105":5106},"useCurrent","Aktuelles Datum & Zeit verwenden",{"_5108":5109,"_5110":5111,"_5112":5113,"_5114":5115,"_3803":2670,"_5116":5117},"epochSeconds","Epoch-Zeit (Sekunden)","iso8601","ISO 8601","localTime","Ortszeit","utc","UTC","milliseconds","Millisekunden",{"_168":5119,"_202":5120,"_1552":2493,"_1080":5121,"_1082":5122,"_1084":5123,"_1086":5124,"_1088":5125},"Über Unix-Epoch-Zeit","Unix-Epoch-Zeit ist die Anzahl der Sekunden, die seit dem 1. Januar 1970 (Mitternacht UTC/GMT) vergangen sind, ohne Schaltsekunden zu zählen. Dies ist eine weit verbreitete Zeitdarstellung in Computersystemen.","Datenbank-Zeitstempel","API-Antworten und -Anfragen","Dateisystem-Metadaten","Protokolldateien und Debugging","Planung und Cron-Jobs","tools/exif-data-remover",{"_168":5128,"_202":5129,"_968":5130,"_1466":5136,"_2749":5149,"_4365":5160,"_931":5172},"EXIF-Daten-Entferner","Entferne Metadaten aus Fotos zum Schutz deiner Privatsphäre",{"_5131":5132,"_24":5133,"_5134":5135},"chooseImage","Bild auswählen","Bereinigtes Bild herunterladen","cleanAnother","Weiteres Bild bereinigen",{"_5137":5138,"_5139":5140,"_5141":5142,"_5143":5144,"_5145":5146,"_5147":5148},"privacyNote","Dein Bild wird lokal verarbeitet - nie auf einen Server hochgeladen","processing","Entferne EXIF-Daten...","success","EXIF-Daten erfolgreich entfernt!","successDesc","Dein Bild wurde von allen Metadaten befreit, einschließlich Standort, Kamerainfos und Zeitstempel.","uploadPrompt","Lade ein Bild hoch, um seine EXIF-Daten zu entfernen","uploadDesc","Schütze deine Privatsphäre, indem du Standort und Metadaten entfernst",{"_5150":5151,"_5152":5153,"_5154":5155,"_5156":5157,"_5158":5159},"originalWithExif","Original (Mit EXIF)","cleanedNoExif","Bereinigt (Ohne EXIF)","containsMetadata","Enthält Metadaten","metadataRemoved","Metadaten entfernt","whatWasRemoved","Was wurde entfernt:",{"_5161":5162,"_5163":5164,"_1594":5165,"_65":5166,"_5167":5168,"_277":5169,"_5170":5171},"gps","GPS-Standortdaten (Breiten-, Längen- und Höhengrad)","camera","Kameramarke und -modell","Datum und Uhrzeit der Aufnahme","Kameraeinstellungen (ISO, Blende, Verschlusszeit)","software","Software zur Fotobearbeitung","Copyright-Informationen","other","Alle anderen eingebetteten Metadaten",{"_168":5173,"_5174":5175,"_5176":5177,"_5178":5179,"_5180":5181,"_5182":5183,"_1659":5184,"_5185":5186,"_5187":5188,"_5189":5190,"_5191":5192,"_5193":5194,"_5195":5196,"_5197":5198,"_5199":5200,"_5201":5202,"_5203":5204,"_5205":5206,"_309":5207,"_5208":5209,"_5210":5211,"_5212":5213,"_5214":5215,"_5216":5217,"_5218":5219,"_5220":5221,"_5222":5223,"_5224":5225,"_5226":5227,"_5228":5229,"_5230":5231},"EXIF-Daten verstehen","whatIsExif","Was sind EXIF-Daten?","whatIsExifDesc","EXIF (Exchangeable Image File Format) sind Metadaten, die von Kameras und Smartphones in Fotos eingebettet werden. Diese Daten können sensible Informationen darüber offenbaren, wann und wo ein Foto aufgenommen wurde sowie welches Gerät verwendet wurde.","typesOfData","Arten von in EXIF gespeicherten Daten","locationLabel","Standortdaten: ","locationDesc","GPS-Koordinaten, die genau zeigen, wo das Foto aufgenommen wurde","Datum & Zeit: ","dateDesc","Zeitstempel der Aufnahme","cameraInfoLabel","Kamerainfos: ","cameraInfoDesc","Marke, Modell und Seriennummer des Geräts","settingsLabel","Kameraeinstellungen: ","settingsDesc","ISO, Blende, Verschlusszeit, Brennweite","softwareLabel","Software: ","softwareDesc","Verwendete Fotobearbeitungs-Apps","copyrightLabel","Copyright: ","copyrightDesc","Fotograf- und Copyright-Informationen","whyRemove","Warum EXIF-Daten entfernen?","privacyLabel","Datenschutz: ","Verhindere die Offenlegung deiner Privatadresse oder deines Standorts","securityLabel","Sicherheit: ","securityDesc","Verrate nicht, wann du nicht zu Hause bist","anonymityLabel","Anonymität: ","anonymityDesc","Entferne identifizierende Informationen vor dem Online-Posten","professionalLabel","Professionell: ","professionalDesc","Bereinige Metadaten vor dem Verkauf von Stockfotos","whenToRemove","Wann EXIF entfernen","when1","Vor dem Posten von Fotos in sozialen Medien","when2","Beim Online-Verkauf von Artikeln (Marktplatz-Fotos)","when3","Vor dem öffentlichen Teilen von Fotos","when4","Wenn Anonymität wichtig ist","when5","Vor dem Hochladen in Foren oder auf Websites","tools/fallback",{"_168":5234,"_202":5235,"_5236":5234,"_1046":5237},"Bald verfügbar","Dieses Tool wird bald verfügbar sein","comingSoon","Wir arbeiten an diesem Tool. Schau bald wieder vorbei!","tools/favicon-generator",{"_168":5240,"_202":5241,"_139":5242,"_964":5249,"_450":5264,"_5274":5275,"_931":5305},"Favicon-Generator","Erstelle Favicons in mehreren Formaten aus Text, Emoji oder Bildern",{"_5243":5244,"_5245":5246,"_5247":5248},"tooljarStyle","Tooljar-Stil","letterA","Buchstabe A","lightBulb","Glühbirne",{"_5250":5251,"_1443":5252,"_5253":5254,"_5255":5256,"_5257":2397,"_5258":5259,"_5260":5261,"_5262":5263},"textOrEmoji","Text oder Emoji","Text oder Emoji eingeben (z.B. 🛠️, A, @)","backgroundColor","Hintergrundfarbe","bgColorPlaceholder","#8B5CF6","textColor","textColorPlaceholder","#FFFFFF","fontSize","Schriftgröße (%)","borderRadius","Eckenradius (%)",{"_168":2387,"_1048":5265,"_5266":5267,"_5268":5269,"_5270":5271,"_5272":5273},"Gib Text oder Emoji ein, um die Vorschau zu sehen","alt","Favicon-Vorschau","64pxPreview","64px-Vorschau","32pxPreview","32px-Vorschau","16pxPreview","16px-Vorschau","downloadFormats",{"_168":5276,"_5277":5278,"_5279":5280,"_5281":5282,"_5283":5284,"_5285":5286,"_5287":5288,"_5289":5290,"_5291":5292,"_5293":5294,"_5295":5296,"_5297":5298,"_5299":5300,"_5301":5302,"_5303":5304},"Download-Formate","downloadRecommendedSet","⚡ Empfohlenes Set herunterladen (favicon.png + favicon.svg)","oneClickDownload","Ein-Klick-Download mit korrekten Dateinamen","orDownloadIndividually","oder einzeln herunterladen","recommended","Empfohlen:","allSizes","Alle Größen:","32x32PNG","32×32 PNG ⭐","svg","SVG ⭐","32x32PNGButton","32×32 PNG","svgButton","SVG","16x16PNG","16×16 PNG","64x64PNG","64×64 PNG","128x128PNG","128×128 PNG","180x180PNG","180×180 PNG","256x256PNG","256×256 PNG",{"_168":5306,"_5307":5308,"_5309":5310,"_5311":5312,"_5313":5314,"_5315":5316,"_5317":5318,"_5319":5320,"_5321":5322,"_5323":5324,"_1227":1228,"_947":5325,"_949":5326,"_951":5327,"_1419":5328},"So verwendest du dein Favicon","step1Title","1. Lade deine Favicons herunter","recommendedMinimalSetup","Empfohlenes Minimal-Setup:","rec32x32","32×32 PNG - Umbenennen in favicon.png (am häufigsten)","recSVG","SVG - Umbenennen in favicon.svg (moderne Browser, skalierbar)","optionalBetterCoverage","Optional (für bessere Abdeckung):","opt16x16","16×16 PNG - Umbenennen in favicon.ico (alte Browser)","opt180x180","180×180 PNG - Umbenennen in apple-touch-icon.png (iOS-Startbildschirm)","step2Title","2. Füge sie zu deiner Website hinzu","step2Desc","Platziere die Dateien im Root- oder Public-Verzeichnis deiner Website und füge diese Tags im HTML-Head hinzu:","Verwende einfache, kräftige Designs, die bei kleinen Größen funktionieren","Emojis eignen sich hervorragend für schnelle, erkennbare Icons","SVG wird für moderne Browser empfohlen (skalierbar & kleine Dateigröße)","Verwende kontrastreiche Farben für bessere Sichtbarkeit","tools/fraction-simplifier",{"_168":5331,"_202":5332,"_139":5333,"_964":5342,"_57":5351,"_384":5362,"_931":5365},"Bruch-Vereinfacher","Vereinfache Brüche auf ihre kleinste Form und konvertiere sie in Dezimalzahlen",{"_5334":5335,"_5336":5337,"_5338":5339,"_5340":5341},"fraction1","8/12","fraction2","15/25","fraction3","24/36","fraction4","100/150",{"_5343":5344,"_5345":5346,"_5347":5348,"_5349":5350},"numerator","Zähler (obere Zahl)","numeratorPlaceholder","Zähler eingeben","denominator","Nenner (untere Zahl)","denominatorPlaceholder","Nenner eingeben",{"_5352":5353,"_1380":5354,"_5355":5356,"_5357":5358,"_1358":5359,"_5360":5361},"alreadySimplified","Bereits in einfachster Form","Ursprünglicher Bruch","simplified","Vereinfachte Form","dividedBy","Beide durch {{gcd}} geteilt","Dezimalwert","mixedNumber","Gemischte Zahl",{"_5363":5364},"divideByZero","Fehler: Division durch null nicht möglich",{"_168":5366,"_202":5367,"_5368":5369,"_2404":5370,"_2406":5371,"_2408":5372,"_2888":1529,"_4173":5373,"_2545":2546,"_5374":5375,"_5376":5377,"_5378":5379,"_5380":5381,"_5382":5383,"_5384":5385,"_5386":5387,"_5388":5389},"Brüche vereinfachen","Einen Bruch zu vereinfachen bedeutet, ihn auf seine kleinste Form zu reduzieren, indem man sowohl Zähler als auch Nenner durch ihren größten gemeinsamen Teiler (ggT) teilt.","stepsTitle","Schritte zum Vereinfachen","Finde den ggT von Zähler und Nenner","Teile beide Zahlen durch den ggT","Das Ergebnis ist der Bruch in einfachster Form","Um 12/18 zu vereinfachen: Der ggT von 12 und 18 ist 6. Teile beide durch 6: 12÷6 = 2 und 18÷6 = 3. Ergebnis: 2/3","simplestFormLabel","Einfachste Form: ","simplestFormDesc","Wenn ggT = 1 (keine gemeinsamen Faktoren außer 1)","properLabel","Echter Bruch: ","properDesc","Zähler < Nenner (z.B. 2/3)","improperLabel","Unechter Bruch: ","improperDesc","Zähler ≥ Nenner (z.B. 5/3)","mixedLabel","Gemischte Zahl: ","mixedDesc","Ganze Zahl plus Bruch (z.B. 1 2/3)","tools/freelance-rate-calculator",{"_168":5392,"_202":5393,"_139":5394,"_964":5400,"_57":5419,"_931":5438,"_1007":5462},"Freelance-Stundensatz-Rechner","Berechne den richtigen Stundensatz für dein Freelance-Business basierend auf Einkommenszielen und Ausgaben",{"_2710":5395,"_5396":5397,"_5398":5399},"Standard-Freelancer","fullTime","Vollzeit-Freelancer","partTime","Teilzeit-Freelancer",{"_5401":5402,"_5403":5404,"_3799":5405,"_5406":5407,"_3838":5408,"_5409":5410,"_5411":5412,"_5413":5414,"_5415":5416,"_5417":5418},"income","Gewünschtes Jahreseinkommen ($)","incomeHelper","Dein angestrebtes Nettoeinkommen","Abrechenbare Stunden pro Woche","hoursHelper","Stunden, die du tatsächlich Kund:innen in Rechnung stellen kannst","Arbeitswochen pro Jahr","weeksHelper","Unter Berücksichtigung von Urlaub und Krankheit (48 = 4 Wochen frei)","expenses","Jährliche Geschäftsausgaben ($)","expensesHelper","Software, Ausrüstung, Versicherung usw.","taxRate","Steuersatz (%)","taxHelper","Geschätzter Einkommensteuersatz",{"_5420":5421,"_5422":5423,"_5424":5425,"_5426":5427,"_5428":5429,"_5430":5431,"_5432":5433,"_5434":5435,"_5411":5436,"_4058":5437},"hourlyRate","Mindeststundensatz","dayRate","Tagessatz (8 Stunden)","weekRate","Wochensatz","monthRate","Monatssatz","breakdown","Jahresaufschlüsselung","grossIncome","Erforderliches Bruttoeinkommen:","netIncome","Nettoeinkommen (nach Hause):","taxes","Steuern:","Geschäftsausgaben:","Gesamtabrechenbare Stunden/Jahr:",{"_168":5439,"_202":5440,"_1227":5441,"_5442":5443,"_5444":5445,"_5446":5447,"_5448":5449,"_5450":5451,"_5452":5453,"_5454":5455,"_5456":5457,"_5458":5459,"_5460":5461},"So verwendest du den Freelance-Stundensatz-Rechner","Dieser Rechner hilft dir, den Mindeststundensatz zu bestimmen, den du verlangen musst, um deine Einkommensziele zu erreichen und gleichzeitig Ausgaben und Steuern zu decken. Denk daran, dass abrechenbare Stunden sich von Arbeitsstunden unterscheiden - du wirst Zeit für Administration, Marketing und andere nicht-abrechenbare Aufgaben aufwenden.","Tipps zum Festlegen deines Satzes","billableLabel","Abrechenbare vs. Gesamtstunden: ","billableDesc","Wenn du 40 Stunden/Woche arbeitest, sind nur 25-30 möglicherweise abrechenbar","vacationLabel","Urlaubszeit: ","vacationDesc","48 Wochen/Jahr berücksichtigt 4 Wochen Urlaub","expensesLabel","Geschäftsausgaben: ","expensesDesc","Einschließlich Software, Ausrüstung, Versicherung, Büroraum","bufferLabel","Puffer: ","bufferDesc","Erwäge einen Puffer von 10-20% für unerwartete Kosten","marketLabel","Marktsatz: ","marketDesc","Recherchiere Branchenstandards für deine Fähigkeiten",{"_452":5463},"Enter your details to calculate hourly rate","tools/friction-force-calculator",{"_168":5466,"_202":5467,"_964":5468,"_4871":5488,"_57":5496,"_5508":5509,"_1190":5513,"_1007":5520,"_931":5522},"Reibungskraft-Rechner","Berechne statische und kinetische Reibungskräfte mit Freikörperdiagrammen",{"_4993":4994,"_5469":1102,"_5470":5471,"_5472":5473,"_5474":5475,"_5476":5477,"_2764":1102,"_5478":5471,"_5479":5480,"_5481":5482,"_5483":5484,"_5485":5486,"_5487":2229},"massKg","normalForce","Normalkraft (N)","frictionType","Reibungstyp","static","Statisch (μs)","kinetic","Kinetisch (μk)","normalForceN","coefficient","Reibungskoeffizient","appliedForce","Angewandte Kraft (N)","optional","(optional)","appliedForcePlaceholder","Um zu prüfen, ob Objekt sich bewegt","gravity",{"_168":5489,"_1637":2241,"_5490":5491,"_5492":5493,"_5494":5495},"Freikörperdiagramm","normal","Normal (N)","applied","Angewandt (F)","friction","Reibung (f)",{"_5497":5498,"_5499":5500,"_5470":5501,"_5502":5503,"_5504":5505,"_5506":5507},"maxStaticFriction","Max. statische Reibung","kineticFriction","Kinetische Reibung","Normalkraft","willMove","Objekt wird sich bewegen","willNotMove","Objekt wird sich nicht bewegen","appliedVsMax","Angewandt: {{applied}} N vs Max. 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Statische Reibung wirkt der Bewegungsinitiierung entgegen, während kinetische Reibung der fortlaufenden Bewegung entgegenwirkt.","Statische Reibung ist typischerweise größer als kinetische Reibung","Die Reibungskraft ist proportional zur Normalkraft","Der Koeffizient hängt von den Kontaktmaterialien ab","Reibung ist für die meisten Oberflächen unabhängig von der Kontaktfläche","tools/gif-maker",{"_168":5531,"_202":5532,"_968":5533,"_964":5541,"_5552":5553,"_3091":5555,"_57":5558,"_1007":5576,"_384":5580,"_931":5587},"GIF-Generator","Erstelle animierte GIFs aus Bildern",{"_5534":5535,"_5536":5537,"_24":5538,"_5539":5540},"addImages","Bilder hinzufügen","createGIF","GIF erstellen","GIF herunterladen","createAnother","Weiteres erstellen",{"_5542":5543,"_5544":5545,"_5546":5547,"_5548":5549,"_5550":5551},"uploadHint","Wähle mehrere Bilder aus (sie werden zu Frames in deinem GIF)","frameDelayLabel","Frame-Verzögerung (ms)","loopLabel","Schleife","loopForever","Endlosschleife","playOnce","Einmal abspielen","frames",{"_168":5554},"Frames ({{count}})",{"_5556":5557},"creating","Erstelle dein GIF...",{"_5559":5560,"_5143":5561,"_450":2387,"_5562":5563,"_5564":5565,"_5566":5567,"_5568":5569,"_5570":5547,"_5548":5571,"_5572":5573,"_5574":5575},"successTitle","GIF erstellt!","Dein animiertes GIF ist fertig","previewAlt","Generiertes GIF","settingsTitle","GIF-Einstellungen","framesCount","Frames: {{count}}","frameDelay","Frame-Verzögerung: {{ms}}ms","loop","Endlos","loopOnce","Einmal","duration","Dauer: ~{{seconds}}s",{"_168":5577,"_5578":5579},"Füge Bilder hinzu, um ein animiertes GIF zu erstellen","desc","Lade 2 oder mehr Bilder hoch, um zu starten",{"_5581":5582,"_5583":5584,"_5585":5586},"minFrames","Bitte füge mindestens 2 Bilder hinzu, um ein GIF zu erstellen","libraryNote","Hinweis: Für vollständige GIF-Kodierung wäre eine Bibliothek wie gif.js erforderlich. Diese Vorschau zeigt den ersten Frame.","failed","GIF-Erstellung fehlgeschlagen. Bitte versuche es erneut.",{"_168":5588,"_5589":5590,"_2404":5591,"_2406":5592,"_2408":5593,"_2410":5594,"_2412":5595,"_5596":5597,"_5598":5599,"_5600":5601,"_5602":5603,"_1227":5604,"_947":5605,"_949":5606,"_951":5607,"_1419":5608,"_3460":5609,"_1078":2493,"_1080":5610,"_1082":5611,"_1084":5612,"_1086":5613,"_1088":5614},"Animierte GIFs erstellen","howToTitle","So erstellst du ein GIF","Lade 2 oder mehr Bilder hoch, die zu Frames werden","Ordne die Frames in der gewünschten Abspielreihenfolge an","Stelle die Frame-Verzögerung ein (wie lange jeder Frame angezeigt wird)","Wähle, ob endlos wiederholt oder einmal abgespielt werden soll","Klicke auf \"GIF erstellen\" und lade dein animiertes GIF herunter","delayGuideTitle","Frame-Verzögerungs-Leitfaden","delay50","Sehr schnell, flüssige Animation","delay200","Standardgeschwindigkeit, gut für die meisten GIFs","delay1000","Langsam, gut für Diashows","Tipps für bessere GIFs","Verwende Bilder mit gleichen Abmessungen für beste Ergebnisse","Halte die Anzahl überschaubar (5-30 Frames funktioniert gut)","Kürzere Schleifen lassen sich leichter wiederholt ansehen","Teste verschiedene Frame-Verzögerungen, um die richtige Geschwindigkeit zu finden","Komprimiere große GIFs, um die Dateigröße zu reduzieren","Social-Media-Inhalte und Reaktionen","Produktdemonstrationen und Tutorials","Animierte Logos und Banner","Stop-Motion-Animationen","Memes und kreative Inhalte","tools/google-index-checker",{"_168":5617,"_202":5618,"_366":5619},"Google Index Checker","Prüfen Sie, ob Google Ihre Webseite crawlen und indexieren kann. Analysiert robots.txt, Meta-Tags und SEO-Anforderungen.","Kostenloses Tool zur Überprüfung, ob Ihre Webseite von Google indexiert werden kann. Analysiert robots.txt-Blockierung, Meta-Robots-Tags, kanonische URLs und grundlegende SEO-Anforderungen.","tools/gpa-calculator",{"_168":5622,"_202":5623,"_964":5624,"_5627":5628,"_553":5636,"_113":5645,"_57":5650,"_5659":5660,"_931":5669},"Notendurchschnitt-Rechner","Berechne deinen Notendurchschnitt mit Unterstützung für mehrere Bewertungssysteme",{"_5625":5626},"gradingScale","Bewertungssystem","scales",{"_5629":5630,"_5631":5632,"_5633":5634,"_2042":5635},"4.0","4,0-Skala (Standard)","4.33","4,33-Skala (A+ = 4,33)","5.0","5,0-Skala (Gewichtet)","Prozentsatz",{"_5637":5638,"_651":652,"_5639":5640,"_2739":5641,"_5642":5643,"_95":5644},"courseName","Kursname","grade","Note","Punkte","course","Kurs","Auswählen",{"_5646":5647,"_5648":5649},"addCourse","Kurs hinzufügen","clearAll","Alles löschen",{"_5651":5652,"_5653":5654,"_5655":5656,"_5657":5658},"yourGPA","Dein Notendurchschnitt","gpa","Notendurchschnitt","totalCredits","Gesamt-Credits","qualityPoints","Qualitätspunkte","howTo",{"_168":5661,"_2404":5662,"_2406":5663,"_2408":5664,"_2410":5665,"_1820":2794,"_5666":5667,"_5657":5668},"So berechnest du den Notendurchschnitt","Gib deinen Kursnamen ein (optional)","Gib die Anzahl der Credits für jeden Kurs ein","Wähle deine Note für jeden Kurs aus","Dein Notendurchschnitt wird automatisch berechnet","formulaText","Notendurchschnitt = Gesamt-Qualitätspunkte / Gesamt-Credits","Qualitätspunkte = Notenpunkte × Credits",{"_168":5670,"_202":5671,"_5672":5673,"_5674":5675,"_5676":5677,"_5678":5679,"_5680":5681},"Über den Notendurchschnitt-Rechner","Berechne deinen kumulativen Notendurchschnitt mit verschiedenen Bewertungssystemen, die häufig in Schulen und Universitäten verwendet werden.","scalesTitle","Bewertungssysteme","scale1","4,0-Skala: Standardbewertung in den USA (A = 4,0, B = 3,0 usw.)","scale2","4,33-Skala: Enthält A+ (4,33) für außergewöhnliche Leistung","scale3","5,0-Skala: Gewichtete Skala für Honors-/AP-Kurse","scale4","Prozentsatz: Konvertiert Prozentwerte in 4,0-Äquivalent","tools/gradient-generator",{"_168":5684,"_202":5685,"_139":5686,"_2749":5695,"_63":5707,"_968":5712,"_931":5717},"Farbverlauf-Generator","Erstelle schöne CSS-Farbverläufe mit Live-Vorschau",{"_5687":5688,"_5689":5690,"_5691":5692,"_5693":5694},"purpleDream","Lila Traum","pinkSunset","Rosa Sonnenuntergang","oceanBlue","Ozeanblau","summerVibes","Sommerfeeling",{"_5696":5697,"_5698":5699,"_1261":5700,"_5701":5702,"_5703":5704,"_5705":5706},"livePreview","Live-Vorschau","gradientType","Farbverlaufstyp","Winkel: {{angle}}°","colorStops","Farbstopps","cssCode","CSS-Code","fallbackColor","Fallback-Farbe",{"_5708":5709,"_5710":5711},"linear","Linearer Farbverlauf","radial","Radialer Farbverlauf",{"_5713":5714,"_228":5715,"_5716":3168},"addColor","+ Farbe hinzufügen","🎲 Zufälligen Farbverlauf generieren","copyCss",{"_168":5718,"_1475":5719,"_5720":5721,"_5722":5723,"_5724":5725,"_5726":5727,"_1227":5728,"_947":5729,"_949":5730,"_951":5731,"_1419":5732,"_3460":5733,"_4175":2840,"_1080":5734,"_1082":5735,"_1084":5736,"_1086":5737,"_1088":5738},"CSS-Farbverläufe verwenden","Farbverlaufstypen","linearLabel","Linearer Farbverlauf:","linearDesc","Farben gehen in einer geraden Linie in einem bestimmten Winkel ineinander über. 0° = unten nach oben, 90° = links nach rechts.","radialLabel","Radialer Farbverlauf:","radialDesc","Farben strahlen von einem Mittelpunkt nach außen in einem kreisförmigen Muster.","Tipps für großartige Farbverläufe","Verwende 2-4 Farben für beste Ergebnisse - zu viele können schlammig aussehen","Wähle Farben mit ähnlicher Helligkeit für sanfte Übergänge","Probiere diagonale Winkel (45°, 135°) für dynamische Hintergründe","Füge eine Fallback-Volltonfarbe für ältere Browser hinzu","Teste deinen Farbverlauf auf verschiedenen Bildschirmgrößen","Website-Hintergründe und Hero-Bereiche","Button- und Karten-Hintergründe","Text-Hintergründe mit Farbverlaufs-Texteffekten","Ladebildschirme und Splash-Pages","Social-Media-Grafiken und Banner","tools/half-life-calculator",{"_168":5741,"_202":5742,"_964":5743,"_57":5770,"_5780":5781,"_553":5786,"_1190":5792,"_1007":5808,"_931":5810},"Halbwertszeit-Rechner","Berechne radioaktiven Zerfall, Restmengen und Halbwertszeitwerte",{"_5744":5745,"_2215":5746,"_2093":5747,"_5748":5749,"_5750":5751,"_5752":5753,"_5754":5755,"_5756":5757,"_5758":3513,"_5759":5760,"_5761":5762,"_594":5753,"_2669":5763,"_5764":5765,"_5766":5763,"_2124":5767,"_5768":5769},"isotopePresets","Häufige Isotopen-Vorlagen","Benutzerdefinierter Wert","Berechne","remainingAmount","Restmenge","initialAmount","Anfangsmenge","timeElapsed","Vergangene Zeit","halfLife","Halbwertszeit","n0","Anfangsmenge (N0)","n0Placeholder","nt","Restmenge N(t)","ntPlaceholder","z.B. 50","z.B. 5730","t12","Halbwertszeit (t1/2)","t12Placeholder","berechne","timeHint","Verwende dieselben Einheiten wie Halbwertszeit",{"_2696":5749,"_5771":5751,"_594":5753,"_5754":5755,"_5772":5773,"_5774":5775,"_5776":5777,"_5778":5779},"initial","decayConstant","Zerfallskonstante","halfLivesElapsed","Vergangene Halbwertszeiten","percentRemaining","% Verbleibend","percentDecayed","% Zerfallen","chart",{"_168":5782,"_5783":5784,"_5785":1636},"Zerfallskurve","xAxis","Zeit (Halbwertszeiten)","yAxis",{"_168":5787,"_5788":5789,"_594":884,"_5790":1636,"_5791":5777},"Halbwertszeit-Verlauf","halfLives","Halbwertszeiten","amount","percent",{"_168":3267,"_5793":5794,"_5795":5796,"_5797":5798,"_5799":5800,"_5801":5802,"_5759":5803,"_5756":5804,"_5764":5805,"_5806":5807},"f1","N(t) = N0 × (1/2)^(t/t1/2)","f2","N(t) = N0 × e^(-λt)","f3","λ = ln(2) / t1/2","f4","t = t1/2 × log2(N0/N(t))","where","Wobei","N(t) = verbleibende Menge nach Zeit t","N0 = Anfangsmenge","t1/2 = Halbwertszeit","lambda","λ = Zerfallskonstante",{"_1046":5809},"Gib Werte ein, um den Halbwertszeitzerfall zu berechnen",{"_168":5811,"_202":5812,"_4727":1222,"_4729":5813,"_4731":5814,"_4733":5815,"_4735":5816},"Über den Halbwertszeit-Rechner","Berechne radioaktiven Zerfall mit der Halbwertszeitformel. Die Halbwertszeit ist die Zeit, die erforderlich ist, damit die Hälfte der radioaktiven Kerne in einer Probe zerfällt.","Kohlenstoff-14-Datierung für archäologische Proben","Medizinische Bildgebung mit radioaktiven Tracern","Kernenergie und Abfallmanagement","Pharmakologie und Arzneimittelmetabolismus","tools/handwriting-practice-sheet",{"_168":5819,"_202":5820,"_139":5821,"_964":5832,"_5851":5852,"_5858":5859,"_5866":5867,"_968":5873,"_5878":5879,"_931":5885},"Schreibschrift-Übungsblatt","Erstelle druckbare Schreibschrift-Arbeitsblätter für Buchstaben, Wörter und Sätze",{"_1033":5822,"_5823":5824,"_2355":5825,"_5826":5827,"_5828":5829,"_5830":5831},"Alphabet","lettersText","A B C D E F G H I J K L M N O P Q R S T U V W X Y Z Ä Ö Ü","Namen üben","nameText","Emma","sentence","Ganzer Satz","sentenceText","Franz jagt im komplett verwahrlosten Taxi quer durch Bayern.",{"_1441":5833,"_1443":5834,"_5835":5836,"_5837":5838,"_5839":5840,"_5841":5842,"_5843":5844,"_5845":5846,"_5847":5848,"_5849":5850},"Zu übender Text","Buchstaben, Wörter oder Sätze eingeben...","styleLabel","Schreibstil","lineStyleLabel","Linienstil","fontSizeLabel","Buchstabengröße","linesPerWordLabel","Übungszeilen pro Wort","showGuideLabel","Startpunkt-Markierungen anzeigen","showArrowsLabel","Richtungspfeile anzeigen","titleLabel","Arbeitsblatt-Titel (Optional)","titlePlaceholder","Meine Schreibschrift-Übung","styles",{"_1668":5853,"_5854":5855,"_5856":5857},"Druckschrift (Manuskript)","cursive","Schreibschrift","dnealian","D'Nealian","lineStyles",{"_5860":5861,"_5862":5863,"_5864":5865},"solid","Durchgezogene Linien","dashed","Gestrichelte Linien","dotted","Gepunktete Linien","fontSizes",{"_5868":5869,"_5870":5871,"_3738":5872},"large","Groß (Vorschule, Kindergarten)","medium","Mittel (1.-2. Klasse)","Klein (3.+ Klasse)",{"_34":5874,"_1668":5875,"_5876":5877},"Arbeitsblatt erstellen","Arbeitsblatt drucken","regenerate","Neues Arbeitsblatt","worksheet",{"_2355":5880,"_1594":1660,"_5881":5882,"_5883":5884},"Name:","traceLine","Nachzeichnen:","copyLine","Unten abschreiben:",{"_168":5886,"_202":5887,"_3046":3047,"_3899":5888,"_3901":5889,"_3903":5890,"_3905":5891,"_1078":5892,"_1080":5893,"_1082":5894,"_1084":5895,"_1086":5896,"_1088":5897,"_1227":1228,"_947":5898,"_949":5899,"_951":5900},"Über Schreibschrift-Übungsblätter","Erstelle maßgeschneiderte Schreibschrift-Arbeitsblätter, perfekt zum Unterrichten von Buchstabenbildung, zur Verbesserung der Handschrift oder zum Üben neuer Vokabeln.","Mehrere Schreibstile (Druckschrift, Schreibschrift, D'Nealian)","Anpassbare Buchstabengrößen für verschiedene Altersgruppen","Optionale Führungspunkte und Richtungspfeile","Anpassbare Anzahl an Übungszeilen","Ideal für","Vorschule und Kindergarten Buchstabenlernen","Grundschul-Handschriftübungen","Fremdsprachen-Schreibunterricht","Ergotherapie-Übungen","Homeschooling-Lehrplan-Unterstützung","Beginne mit großen Buchstaben für Anfänger:innen","Verwende Führungspunkte, um Startpunkte zu zeigen","Übe 3-5 Zeilen pro Buchstabe für beste Ergebnisse","tools/hardy-weinberg-calculator",{"_168":5903,"_202":5904,"_964":5905,"_57":5922,"_5780":5945,"_139":5948,"_1190":5955,"_1007":5963,"_931":5965},"Hardy-Weinberg-Rechner","Berechne Allel- und Genotypfrequenzen mit Chi-Quadrat-Gleichgewichtstest",{"_4993":4994,"_5906":5907,"_5908":5909,"_5910":5911,"_5912":5913,"_5914":5915,"_5916":5917,"_5918":5919,"_5920":5921},"alleleFrequencies","Allelfrequenzen","observedCounts","Beobachtete Anzahlen","dominantFreq","Dominante Allelfrequenz (p)","populationSize","Populationsgröße","freqHint","Wert zwischen 0 und 1 (q = 1 - p)","observedAA","Beobachtetes AA (Homozygot dominant)","observedAa","Beobachtetes Aa (Heterozygot)","observedaa","Beobachtetes aa (Homozygot rezessiv)",{"_5923":5924,"_5925":5926,"_5927":5928,"_5929":5930,"_5931":5932,"_2936":5933,"_2940":2939,"_2941":2942,"_3547":5934,"_5935":5936,"_5937":5938,"_5939":5940,"_5941":5942,"_5943":5944},"dominant","Dominant","recessive","Rezessiv","genotypeFreq","Genotypfrequenzen","expectedCounts","Erwartete Anzahlen","chiSquareTest","Chi-Quadrat-Test für Gleichgewicht","Chi-Quadrat (X²)","Kritischer Wert (α=0,05)","inEquilibrium","Population IST im Hardy-Weinberg-Gleichgewicht (p > 0,05, H₀ wird nicht verworfen)","notInEquilibrium","Population ist NICHT im Hardy-Weinberg-Gleichgewicht (p < 0,05, H₀ wird verworfen)","additionalMetrics","Zusätzliche Metriken","totalAlleles","Gesamt-Allele","heterozygosity","Heterozygotie",{"_168":5928,"_5946":5947,"_2962":2963,"_2960":2961},"frequency","Frequenz",{"_5949":5950,"_5951":5952,"_5953":5954},"typical","Typisch","deviation","Nicht-Gleichgewicht","rareAllele","Seltenes rezessives Allel",{"_168":5956,"_5793":5957,"_5795":5958,"_5797":5959,"_5799":5960,"_5961":5962},"Hardy-Weinberg-Gleichungen","p + q = 1 (Allelfrequenzen)","p² + 2pq + q² = 1 (Genotypfrequenzen)","p = freq(A), q = freq(a)","p² = freq(AA), 2pq = freq(Aa), q² = freq(aa)","f5","X² = Σ((O - E)² / E)",{"_1046":5964},"Gib Werte ein, um das Hardy-Weinberg-Gleichgewicht zu berechnen",{"_168":5966,"_202":5967,"_2977":5968,"_2979":5969,"_2981":5970,"_2983":5971,"_5972":5973,"_5974":5975},"Über den Hardy-Weinberg-Rechner","Das Hardy-Weinberg-Prinzip besagt, dass Allel- und Genotypfrequenzen in einer Population von Generation zu Generation konstant bleiben, sofern keine evolutionären Einflüsse vorhanden sind.","Hardy-Weinberg-Annahmen","Keine Mutationen","Kein Genfluss (Migration)","Zufällige Paarung","assumption4","Keine natürliche Selektion","assumption5","Große Populationsgröße","tools/hash-generator",{"_168":5978,"_202":5979,"_139":5980,"_2749":5987,"_968":5991,"_931":5993},"Hash-Generator","Generiere kryptografische Hashes für beliebigen Text",{"_378":379,"_5981":5982,"_1495":1496,"_1497":1498,"_5983":5984,"_5985":5986},"passwordText","passwort","quickFox","Schneller Fuchs","quickFoxText","Der schnelle braune Fuchs springt über den faulen Hund",{"_5988":5989,"_2823":5990},"inputText","Eingabetext","Text zum Hashen eingeben...",{"_34":5992,"_20":21},"Hashes generieren",{"_168":5994,"_202":5995,"_1552":2493,"_1080":5996,"_1082":5997,"_1084":5998,"_1086":5999,"_1088":6000,"_6001":6002},"Über Hash-Funktionen","Hash-Funktionen sind kryptografische Algorithmen, die Eingabedaten in eine Zeichenfolge fester Größe umwandeln. Dieselbe Eingabe erzeugt immer denselben Hash, aber es ist praktisch unmöglich, den Prozess umzukehren.","Passwortspeicherung und -verifizierung","Dateiintegritätsprüfung","Digitale Signaturen","Datendeduplizierung","Prüfsummenverifizierung","securityNote","Hinweis: MD5 und SHA-1 gelten nicht mehr als sicher für kryptografische Zwecke. Verwende SHA-256 oder SHA-512 für sicherheitskritische Anwendungen.","tools/heat-transfer-calculator",{"_168":6005,"_202":6006,"_964":6007,"_1120":6043,"_1151":6049,"_2198":6051,"_57":6056,"_1190":6070,"_931":6076},"Wärmeübertragung-Rechner","Berechne Wärmeübertragung durch spezifische Wärme, Leitung und Strahlung",{"_1521":6008,"_2093":5747,"_6009":6010,"_6011":6012,"_6013":6014,"_6015":6016,"_2764":1102,"_6017":6018,"_6019":6020,"_6021":6022,"_6023":6024,"_6025":6026,"_6027":6028,"_6029":6030,"_6031":6032,"_6033":6034,"_6035":6036,"_6037":6038,"_6039":6040,"_6041":6042},"Wärmeübertragungsmodus","heatQ","Wärme (Q)","massM","Masse (m)","specificHeatC","Spezifische Wärme (c)","deltaTOption","Temperaturänderung (ΔT)","specificHeat","Spezifische Wärme (J/kg·K)","specificHeatHint","Wasser: 4186, Aluminium: 897","deltaT","Temp-Änderung ΔT (K oder °C)","heat","Wärme (J)","conductivity","Wärmeleitfähigkeit (W/m·K)","conductivityHint","Kupfer: 401, Stahl: 50","area","Fläche (m²)","thickness","Dicke (m)","tempDiff","Temp-Differenz (K)","emissivity","Emissionsgrad (0-1)","surfaceArea","Oberfläche (m²)","surfaceTemp","Oberflächentemp (K)","surroundingTemp","Umgebungstemp (K)",{"_6017":6044,"_6045":6046,"_6047":6048},"Spezifische Wärme (Q = mcΔT)","conduction","Leitung","radiation","Strahlung",{"_168":6050},"Wärmeübertragung-Visualisierung",{"_6052":6053,"_6054":6055},"hot","Heiß","cold","Kalt",{"_6023":6057,"_2764":6058,"_6017":6018,"_6021":6059,"_6060":6061,"_6062":6063,"_6064":6065,"_6066":6067,"_6068":6069},"Wärme","Masse","Temperaturänderung","heatRate","Wärmerate (Q/t)","thermalResistance","Wärmewiderstand","netHeatRate","Netto-Wärmerate","emitting","Wärme abgebend","absorbing","Wärme aufnehmend",{"_168":1192,"_6017":6071,"_6045":6072,"_6047":6073,"_6074":6075},"Spezifische Wärme: Q = mcΔT","Leitung: Q/t = kA(ΔT)/d","Strahlung: Q/t = εσA(T⁴ - T₀⁴)","stefanBoltzmann","σ = 5,67×10⁻⁸ W/(m²·K⁴)",{"_168":6077,"_202":6078,"_6079":6080,"_6081":6082,"_6083":6084,"_6085":6086},"Über den Wärmeübertragung-Rechner","Berechne Wärmeübertragung mit drei grundlegenden Mechanismen: spezifische Wärmekapazität, Wärmeleitung und Wärmestrahlung.","modesTitle","Übertragungsmodi","mode1","Spezifische Wärme: Wärme, die erforderlich ist, um die Temperatur einer Substanz zu ändern","mode2","Leitung: Wärmeübertragung durch ein festes Material","mode3","Strahlung: Wärmeübertragung durch elektromagnetische Wellen","tools/height-converter",{"_168":6089,"_202":6090,"_139":6091,"_964":6096,"_2749":6098,"_931":6105},"Größen-Konverter","Konvertiere Körpergröße zwischen Metern, Fuß und Zentimetern",{"_1913":6092,"_1915":6093,"_6094":6095},"Durchschnittlicher Mann (1,75 m)","Durchschnittliche Frau (1,63 m)","tallPerson","Große Person (2,01 m)",{"_2769":6097},"Größe in Metern",{"_1868":1869,"_6099":6100,"_6101":6102,"_6103":6104},"feetInches","Fuß und Zoll","totalFeet","Gesamt-Fuß","totalInches","Gesamt-Zoll",{"_168":6106,"_6107":6108,"_6109":6110,"_6111":6112,"_6113":6114,"_6115":6116,"_6117":6118,"_6119":6120,"_6121":6122,"_6123":6124},"Größenmesssysteme","metricTitle","Metrisches System","metricDesc","Das metrische System verwendet Meter und Zentimeter. Die meisten Länder weltweit nutzen dieses System zur Größenmessung. 1 Meter = 100 Zentimeter.","imperialTitle","Angloamerikanisches Maßsystem","imperialDesc","Das angloamerikanische Maßsystem, hauptsächlich in den USA verwendet, misst Größe in Fuß und Zoll. 1 Fuß = 12 Zoll. Größen werden typischerweise als Fuß und Zoll ausgedrückt (z.B. 5'9\").","formulasTitle","Umrechnungsformeln","formula1","Meter zu Zentimeter: mit 100 multiplizieren","formula2","Meter zu Fuß: mit 3,28084 multiplizieren","formula3","Meter zu Zoll: mit 39,3701 multiplizieren","formula4","Fuß zu Meter: durch 3,28084 teilen","tools/hmac-generator",{"_168":6127,"_202":6128,"_139":6129,"_964":6136,"_6149":6150,"_6159":6160,"_968":6163,"_57":6165,"_384":6171,"_931":6178},"HMAC-Generator","Generiere HMAC (Hash-based Message Authentication Code) Signaturen mit verschiedenen Algorithmen",{"_6130":6131,"_6132":6133,"_6134":6135},"api","API-Signierung","webhook","Webhook-Verifizierung","jwt","JWT-Geheimnis",{"_6137":6138,"_6139":6140,"_6141":6142,"_6143":6144,"_6145":6146,"_6147":6148},"messageLabel","Nachricht","messagePlaceholder","Zu signierende Nachricht eingeben...","keyLabel","Geheimer Schlüssel","keyPlaceholder","Deinen geheimen Schlüssel eingeben...","algorithmLabel","Algorithmus","encodingLabel","Ausgabekodierung","algorithms",{"_6151":6152,"_6153":6154,"_6155":6156,"_6157":6158},"sha256","SHA-256 (empfohlen)","sha384","SHA-384","sha512","SHA-512","sha1","SHA-1 (veraltet)","encodings",{"_3201":6161,"_1548":6162},"Hexadezimal","Base64",{"_34":6164,"_20":21,"_36":5649},"HMAC generieren",{"_168":6166,"_6167":6146,"_6168":6169,"_2757":6170},"HMAC-Signatur","algorithm","encoding","Kodierung","Länge",{"_6172":6173,"_6174":6175,"_6176":6177},"noMessage","Bitte gib eine Nachricht ein","noKey","Bitte gib einen geheimen Schlüssel ein","cryptoUnavailable","Web Crypto API in diesem Browser nicht verfügbar",{"_168":6179,"_202":6180,"_1078":2493,"_1080":6181,"_1082":6182,"_1084":6183,"_1086":6184,"_1088":6185,"_6186":6187,"_6188":6189,"_6190":6191,"_6192":6193,"_6194":6195,"_6196":6197,"_6198":6199,"_6200":6201},"Über den HMAC-Generator","HMAC (Hash-based Message Authentication Code) ist ein spezifischer MAC-Typ, der eine kryptografische Hash-Funktion und einen geheimen Schlüssel verwendet. Er wird verwendet, um sowohl die Datenintegrität als auch die Authentizität einer Nachricht zu verifizieren.","API-Anfrage-Signierung (AWS, Stripe, GitHub)","Webhook-Payload-Verifizierung","JWT-Token-Signaturen","Sichere Session-Tokens","Nachrichten-Authentifizierung in Protokollen","algorithmsTitle","Algorithmus-Empfehlungen","alg1","SHA-256: Am häufigsten verwendet, gutes Gleichgewicht zwischen Sicherheit und Leistung","alg2","SHA-384/512: Höhere Sicherheit für sensible Anwendungen","alg3","SHA-1: Nur für Legacy, nicht für neue Implementierungen empfohlen","securityTitle","Sicherheitshinweise","security1","Veröffentliche niemals deinen geheimen Schlüssel in clientseitigem Code","security2","Verwende kryptografisch zufällige Schlüssel mit ausreichender Länge","security3","Dieses Tool verarbeitet Daten lokal in deinem Browser","tools/html-css-js-minifier",{"_168":6204,"_202":6205,"_2749":6206,"_968":6214,"_6223":6224,"_1153":6231,"_505":6235,"_384":6241,"_139":6248,"_931":6254},"HTML/CSS/JS-Minifier","Minifiziere und komprimiere HTML-, CSS- und JavaScript-Code",{"_6207":6208,"_6209":6210,"_2823":6211,"_6212":6213},"codeType","Code-Typ","originalCode","Original-Code","Füge deinen {{type}}-Code hier ein...","minifiedCode","Minifizierter Code",{"_6215":6216,"_6217":6218,"_6219":6220,"_6221":6222},"loadExample","Beispiel laden","minify","Code minifizieren","minifying","Minifiziere...","copyCode","Code kopieren","codeOptions",{"_6225":6226,"_6227":6228,"_6229":6230},"html","HTML","css","CSS","js","JavaScript",{"_6232":6233,"_5791":6234},"bytes","B","%",{"_1380":4372,"_6236":6237,"_6238":6239,"_4940":6240},"minified","Minifiziert","saved","Gespart","Reduzierung",{"_6242":6243,"_6244":6245,"_6246":6247},"enterCode","Bitte gib Code zum Minifizieren ein","minificationFailed","Code-Minifizierung fehlgeschlagen. Bitte überprüfe deine Syntax und versuche es erneut.","minificationError","Minifizierung fehlgeschlagen",{"_6249":6250,"_6251":1496,"_6252":6253},"htmlTitle","Beispielseite","htmlHeading","htmlParagraph","Dies ist ein Beispiel-HTML-Dokument.",{"_168":6255,"_1054":6256,"_1056":6257,"_6258":6259,"_6260":6261,"_6262":6263,"_6264":6265,"_6266":6267,"_6268":6269,"_6270":6271,"_6272":6273,"_6274":6275,"_6276":6277,"_6278":6279,"_6280":6281,"_2450":2451,"_2452":6282,"_2454":6283,"_2456":6284,"_2458":6285,"_2460":6286},"Über Code-Minifizierung","Was ist Minifizierung?","Minifizierung ist der Prozess, unnötige Zeichen aus Code zu entfernen, ohne seine Funktionalität zu ändern. Dazu gehört das Entfernen von Leerzeichen, Kommentaren und das Verkürzen von Variablennamen in JavaScript.","benefitsTitle","Vorteile","benefit1","Reduzierte Dateigröße für schnellere Downloads","benefit2","Verbesserte Seitenladezeiten","benefit3","Geringere Bandbreitennutzung","benefit4","Bessere Website-Leistung","benefit5","Verbesserte SEO-Rankings","removedTitle","Was wird entfernt?","removed1","Leerzeichen und Zeilenumbrüche","removed2","Kommentare","removed3","Block-Trennzeichen (wenn möglich)","removed4","Unnötige Semikolons","removed5","Variablennamen-Verkürzung (nur JS)","Bewahre immer Original-Dateien für die Entwicklung auf","Minifiziere Code als Teil deines Build-Prozesses","Teste minifizierten Code vor dem Deployment","Verwende Source Maps zum Debuggen von minifiziertem Code","Kombiniere mit gzip-Kompression für maximale Einsparungen","tools/html-to-markdown-converter",{"_168":6289,"_202":6290,"_968":6291,"_2749":6295,"_139":6302,"_931":6319},"HTML-zu-Markdown-Konverter","Konvertiere HTML-Code in Markdown-Format",{"_6215":6216,"_32":6292,"_6293":6294},"In Markdown konvertieren","copyMarkdown","Markdown kopieren",{"_6296":6297,"_6298":6299,"_6300":6301,"_450":2387},"htmlInput","HTML-Eingabe","htmlPlaceholder","Füge dein HTML hier ein...","markdownOutput","Markdown-Ausgabe",{"_452":6303,"_6304":6305,"_3605":6306,"_6307":6308,"_6309":6310,"_6311":3047,"_3899":6312,"_3901":6313,"_3903":6314,"_6315":6316,"_6317":6318},"Willkommen bei Tooljar","paragraph","Dies ist ein","Absatz","emphasis","mit","emphasisText","etwas Formatierung","featuresHeading","HTML in Markdown konvertieren","Formatierung beibehalten","Einfach zu bedienen","codeHeading","Code-Beispiel","visitText","Besuche unsere",{"_168":6320,"_6321":6322,"_6323":6324,"_6325":6326,"_6327":6328,"_6329":6330,"_6331":6332,"_6333":6334,"_6335":6336,"_6337":6338,"_6339":6340,"_6341":6342,"_6343":6344,"_6345":6346,"_1552":2493,"_1080":6347,"_1082":6348,"_1084":6349,"_1086":6350,"_1088":6351},"Über HTML-zu-Markdown-Konvertierung","whatIsMarkdown","Was ist Markdown?","markdownDesc","Markdown ist eine leichtgewichtige Auszeichnungssprache, die eine Nur-Text-Formatierungssyntax verwendet. Sie wird häufig für Dokumentation, README-Dateien und Content-Management-Systeme verwendet.","supportedTitle","Unterstützte Konvertierungen","conv1","Überschriften (h1-h6) → # Markdown-Überschriften","conv2","Fett/Stark → **Text**","conv3","Kursiv/Hervorgehoben → *Text*","conv4","Links → [Text](URL)","conv5","Bilder → ![Alt](URL)","conv6","Code-Blöcke → ```Code```","conv7","Inline-Code → `Code`","conv8","Listen (ul/ol) → - Element oder 1. Element","conv9","Blockzitate → > Zitat","conv10","Horizontale Linien → ---","Blog-Beiträge in Markdown konvertieren","README-Dateien aus HTML-Dokumentation erstellen","Inhalte zu statischen Site-Generatoren migrieren","HTML zur einfacheren Bearbeitung vereinfachen","Inhalte für GitHub oder GitLab vorbereiten","tools/ideal-gas-law-calculator",{"_168":6354,"_202":6355,"_964":6356,"_5780":6372,"_57":6380,"_4158":6382,"_1190":6388,"_1007":6392,"_931":6394},"Ideales Gasgesetz Rechner","Berechne Druck, Volumen, Stoffmenge oder Temperatur mit PV = nRT",{"_2093":5747,"_6357":6358,"_6359":6360,"_6361":6362,"_6363":6364,"_6365":6366,"_6367":6368,"_6369":6362,"_6370":6371,"_2124":5767},"pressureP","Druck (P)","volumeV","Volumen (V)","molesN","Stoffmenge (n)","temperatureT","Temperatur (T)","pressure","Druck","volume","Volumen","moles","temperature","Temperatur",{"_168":6373,"_6374":6375,"_6376":6377,"_6378":6379},"P-V-Diagramm","volumeL","Volumen (L)","pressureKPa","Druck (kPa)","enterValues","Gib Werte ein, um das P-V-Diagramm zu sehen",{"_6365":6366,"_6367":6368,"_6369":6381,"_6370":6371},"Stoffmenge",{"_168":6383,"_6384":6385,"_6386":6387},"Standardbedingungen","stpTitle","STP (IUPAC)","molarVolume","Molares Volumen bei STP",{"_168":6389,"_2850":6390,"_202":6391},"Ideales Gasgesetz","PV = nRT","Gültig für ideale Gase bei moderaten Temperaturen und Drücken.",{"_1046":6393},"Gib Werte für die drei bekannten Variablen ein",{"_168":6395,"_202":6396,"_6397":6398,"_6399":6400,"_6401":6402,"_6403":6404,"_6405":6406,"_6407":6408},"Über den Ideales Gasgesetz Rechner","Das ideale Gasgesetz setzt Druck, Volumen, Temperatur und Gasmenge in Beziehung. Es liefert genaue Ergebnisse für Gase bei moderaten Temperaturen und Drücken.","variablesTitle","Variablen","var1","P = Druck (Pa, kPa oder atm)","var2","V = Volumen (m³ oder L)","var3","n = Gasmenge (mol)","var4","R = Gaskonstante (8,314 J/(mol·K))","var5","T = Absolute Temperatur (K)","tools/image-color-picker",{"_168":6411,"_202":6412,"_968":6413,"_2749":6420,"_931":6425},"Bild-Farbpipette","Extrahiere Farben aus Bildern mit einer Pipetten-Funktion",{"_6414":6415,"_6416":6417,"_24":25,"_6418":6419},"uploadImage","Bild hochladen","addToPalette","Zur Palette hinzufügen","uploadDifferent","Anderes Bild hochladen",{"_6421":6422,"_6423":6424},"clickToPick","Klicke irgendwo auf das Bild, um eine Farbe auszuwählen","colorPalette","Farbpalette ({{count}})",{"_168":6426,"_5589":2403,"_6427":6428,"_6429":6430,"_6431":6432,"_6433":6434,"_6435":6436,"_6437":6438,"_6439":6440,"_6441":6442,"_6443":6444,"_6445":6446,"_1078":2493,"_1080":6447,"_1082":6448,"_1084":6449,"_1086":6450,"_1088":6451},"Die Farbpipette verwenden","how1","Lade ein Bild von deinem Gerät hoch","how2","Bewege deine Maus über das Bild, um die Lupe zu sehen","how3","Klicke auf ein beliebiges Pixel, um seine Farbe zu extrahieren","how4","Füge Farben zu deiner Palette hinzu, um sie später zu verwenden","how5","Kopiere Farbcodes in HEX-, RGB- oder HSL-Format","how6","Lade deine Farbpalette als Textdatei herunter","formatsTitle","Farbformate","format1","HEX: Hexadezimalformat (#RRGGBB) - Am häufigsten im Webdesign","format2","RGB: Rot-, Grün-, Blauwerte (0-255) - Verwendet in CSS und Grafiken","format3","HSL: Farbton, Sättigung, Helligkeit - Intuitiv für Farbanpassungen","Markenfarben aus Logos extrahieren","Farbpaletten aus Fotos erstellen","Farben für Designprojekte abstimmen","Genaue Farbcodes aus Screenshots finden","Stimmige Farbschemata erstellen","tools/image-compressor",{"_168":6454,"_202":6455,"_968":6456,"_2749":6460,"_505":6473,"_1007":6475,"_931":6478},"Bild-Kompressor","Komprimiere Bilder, um die Dateigröße bei gleichbleibender Qualität zu reduzieren",{"_6414":6415,"_24":6457,"_6458":6459},"Komprimiertes herunterladen","uploadNew","Neues Bild hochladen",{"_6461":6462,"_6463":6464,"_6465":6466,"_6467":6468,"_1380":4372,"_6469":6470,"_6471":6472},"supportedFormats","Unterstützte Formate: JPG, PNG, WebP, GIF","quality","Kompressionsqualität: {{quality}}%","smaller","Kleinere Datei (niedrigere Qualität)","larger","Größere Datei (höhere Qualität)","compressed","Komprimiert","percentSmaller","{{percent}}% kleiner",{"_1380":4372,"_6469":6470,"_4561":6474},"Einsparung",{"_168":6476,"_299":6477},"Lade ein Bild zum Komprimieren hoch","Reduziere die Dateigröße für schnelleres Laden und Speichern",{"_168":6479,"_6480":6481,"_2881":6482,"_6483":6484,"_6485":6486,"_6487":6488,"_6489":6490,"_6491":6492,"_6258":6259,"_6260":6493,"_6262":6494,"_6264":6495,"_6266":6496,"_6268":6269,"_1227":1228,"_947":6497,"_949":6498,"_951":6499,"_1419":6500},"Über Bildkompression","howItWorks","Funktionsweise","Dieses Tool komprimiert Bilder, indem sie als JPEG-Dateien mit anpassbarer Qualität neu kodiert werden. Niedrigere Qualitätseinstellungen erzeugen kleinere Dateien, können aber die Bildklarheit reduzieren. Finde den optimalen Kompromiss zwischen Dateigröße und visueller Qualität für deine Bedürfnisse.","qualityTitle","Empfohlene Qualitätseinstellungen","quality1","90-100%: Minimale Kompression, exzellente Qualität - für professionelle Fotografie","quality2","80-90%: Gutes Gleichgewicht - empfohlen für die meisten Webbilder","quality3","60-80%: Merkliche Kompression - gut für Vorschaubilder und Thumbnails","quality4","Unter 60%: Starke Kompression - nur für sehr kleine Anzeigegrößen","Schnellere Website-Ladezeiten","Reduzierte Bandbreitennutzung","Geringere Speicherkosten","Besseres mobiles Erlebnis","Beginne mit 80% Qualität und passe bei Bedarf an","Vergleiche Original- und komprimierte Bilder nebeneinander","Verwende höhere Qualität für Bilder mit Text oder feinen Details","Erwäge das WebP-Format für noch bessere Kompression (separat konvertieren)","tools/image-cropper",{"_168":6503,"_202":6504,"_968":6505,"_2749":6511,"_6521":6522,"_1007":6534,"_931":6537},"Bild-Zuschneidewerkzeug","Schneide Bilder mit anpassbaren Seitenverhältnissen zu",{"_6414":6415,"_6506":6507,"_24":6508,"_6509":6510},"cropImage","Bild zuschneiden","Zugeschnittenes herunterladen","cropAnother","Anderes Bild zuschneiden",{"_1356":1357,"_6512":6513,"_6514":6515,"_1641":6516,"_6517":6518,"_6519":6520},"clickAndDrag","Klicke und ziehe, um den Bereich auszuwählen, den du zuschneiden möchtest","croppedImage","Zugeschnittenes Bild","Abmessungen: {{width}} × {{height}} px","imageToCrop","Zum Zuschneiden","croppedResult","Zugeschnittenes Ergebnis","ratios",{"_6523":6524,"_6525":6526,"_6527":6528,"_2710":6529,"_6530":6531,"_6532":6533},"free","Frei (Keine Einschränkung)","square","1:1 (Quadratisch)","widescreen","16:9 (Breitbild)","4:3 (Standard)","photo","3:2 (Foto)","vertical","9:16 (Vertikal)",{"_168":6535,"_299":6536},"Lade ein Bild zum Zuschneiden hoch","Wähle benutzerdefinierte Seitenverhältnisse oder freies Zuschneiden",{"_168":6538,"_5589":6539,"_6427":6540,"_6429":6541,"_6431":6542,"_6433":6543,"_6435":6544,"_6437":6545,"_6546":6547,"_6548":6549,"_6550":6551,"_6552":6553,"_6554":6555,"_6556":6557,"_6558":6559,"_1078":2493,"_1080":6560,"_1082":6561,"_1084":6562,"_1086":6563,"_1088":6564},"Das Bild-Zuschneidewerkzeug verwenden","So schneidest du zu","Lade dein Bild hoch","Wähle ein Seitenverhältnis oder verwende freies Zuschneiden","Klicke und ziehe, um den zu behaltenden Bereich auszuwählen","Passe die Auswahl durch erneutes Ziehen an","Klicke auf \"Bild zuschneiden\", um anzuwenden","Lade dein zugeschnittenes Bild herunter","ratiosTitle","Seitenverhältnisse","ratio1","1:1 (Quadratisch): Perfekt für Profilbilder und Instagram-Posts","ratio2","16:9 (Breitbild): Standard für YouTube-Thumbnails und Videoinhalte","ratio3","4:3 (Standard): Traditionelles Fotoformat","ratio4","3:2 (Foto): Gängiges DSLR-Kamera-Verhältnis","ratio5","9:16 (Vertikal): Ideal für Instagram Stories und TikTok","ratio6","Frei: Auf jede Größe ohne Einschränkungen zuschneiden","Bilder für Social-Media-Posts vorbereiten","Profilbilder und Avatare erstellen","Unerwünschte Teile von Fotos entfernen","Bilder auf bestimmte Abmessungen skalieren","Auf bestimmte Motive in Fotos fokussieren","tools/image-dimension-finder",{"_168":6567,"_202":6568,"_968":6569,"_2749":6572,"_1007":6585,"_931":6588},"Bildabmessungs-Finder","Erhalte detaillierte Informationen über die Abmessungen und Eigenschaften deines Bildes",{"_6414":6415,"_6570":6571},"checkAnother","Anderes Bild prüfen",{"_1352":1353,"_1354":1355,"_1356":1357,"_6573":6574,"_6575":6576,"_6577":6578,"_6579":6580,"_6581":6582,"_6583":6584},"fileSize","Dateigröße","format","Format","megapixels","Megapixel","suitability","Eignung für häufige Verwendungen","suitable","✓ Geeignet","tooSmall","✗ Zu klein",{"_168":6586,"_299":6587},"Lade ein Bild hoch, um seine Abmessungen zu finden","Erhalte Breite, Höhe, Seitenverhältnis und mehr",{"_168":6589,"_6590":6591,"_6592":6593,"_6546":6594,"_6548":6595,"_6550":6596,"_6552":6597,"_6554":6598,"_6556":6599,"_6600":6601,"_6602":6603,"_6604":6605,"_6606":6607,"_6608":6609},"Bildabmessungen verstehen","megapixelsTitle","Was sind Megapixel?","megapixelsDesc","Megapixel (MP) repräsentieren die Gesamtzahl der Pixel in einem Bild, berechnet durch Multiplikation von Breite × Höhe. Mehr Megapixel bedeuten im Allgemeinen höhere Auflösung und die Möglichkeit, in größeren Formaten zu drucken.","Häufige Seitenverhältnisse","16:9 - Standard Breitbild (YouTube, die meisten Monitore)","4:3 - Traditionelles Anzeigeformat","3:2 - Gängiges DSLR-Kameraformat","1:1 - Quadratisch (Instagram)","9:16 - Vertikales Video (TikTok, Instagram Stories)","guidelinesTitle","Auflösungsrichtlinien","guide1","Web: 72-96 DPI ist ausreichend","guide2","Druck: 300 DPI für hohe Qualität empfohlen","guide3","Große Drucke: 12+ MP empfohlen","guide4","Social Media: Jede Plattform hat spezifische Anforderungen","tools/image-extractor",{"_168":6612,"_202":6613,"_964":6614,"_968":6619,"_139":6626,"_57":6635,"_1466":6643,"_384":6651,"_931":6662},"Bild-Extraktor","Extrahiere und lade alle Bilder von jeder Webseite herunter",{"_6615":6616,"_6617":6618},"webpageUrl","Webseiten-URL","urlPlaceholder","https://example.com",{"_6620":6621,"_6622":6623,"_24":25,"_6624":6625},"extractImages","Bilder extrahieren","extractingImages","Extrahiere Bilder...","open","Öffnen",{"_6627":6628,"_6629":6630,"_6631":6632,"_6633":6634},"try","Probiere:","unsplash","Unsplash","nasaImages","NASA-Bilder","pexels","Pexels",{"_6636":6637,"_6638":6639,"_1641":6640,"_6641":6642},"foundImages","{{count}} Bild gefunden","foundImages_other","{{count}} Bilder gefunden","{{width}} × {{height}}","imageAlt","Bild {{number}}",{"_6644":6623,"_6645":6646,"_6647":6648,"_6649":6650},"extractingTitle","extractingDesc","Dies kann einige Augenblicke dauern","enterUrl","Gib eine URL ein, um Bilder zu extrahieren","findImages","Wir finden alle Bilder auf der Seite für dich",{"_6647":6652,"_107":6653,"_6654":6655,"_6656":6657,"_6658":6659,"_6660":6661},"Bitte gib eine URL ein","Bitte gib eine gültige URL ein","extractionFailed","Bilder konnten nicht von der URL extrahiert werden","noImages","Keine Bilder auf dieser Seite gefunden","blockingAccess","Bilder konnten nicht extrahiert werden. Die Seite blockiert möglicherweise den Zugriff oder es wurden keine Bilder gefunden.","downloadFailed","Bild konnte nicht heruntergeladen werden. Du musst es möglicherweise stattdessen in einem neuen Tab öffnen.",{"_168":6663,"_2879":6481,"_2881":6664,"_6665":6666,"_6667":6668,"_6669":6670,"_6671":6672,"_6673":6674,"_6675":6676,"_6677":2493,"_1080":6678,"_1082":6679,"_1084":6680,"_1086":6681,"_1088":6682,"_2631":2632,"_2633":6683,"_2635":6684,"_2637":6685,"_2639":6686},"Über Bild-Extraktion","Dieses Tool ruft die Webseite ab und extrahiert alle Bild-URLs, die im HTML gefunden werden. Es kann Bilder in Standard-img-Tags, Hintergrundbilder und andere gängige Formate finden.","whatImagesTitle","Welche Bilder werden gefunden?","imageType1","Bilder in -Tags","imageType2","Hintergrundbilder aus CSS","imageType3","Picture-Elemente und srcset-Bilder","imageType4","Open-Graph-Bilder (Social-Media-Vorschauen)","imageType5","Favicons und App-Icons","commonUsesTitle","Produktbilder aus Online-Shops herunterladen","Fotos aus Blog-Posts und Artikeln speichern","Bilder für Recherchen oder Inspiration extrahieren","Bilder von Websites sichern","Hochauflösende Versionen von Bildern finden","Einige Websites blockieren möglicherweise die Bild-Extraktion","Respektiere Urheberrechte und Nutzungsbedingungen","Nicht alle Bilder sind möglicherweise zugänglich","Große Seiten benötigen möglicherweise länger zur Verarbeitung","tools/image-resizer",{"_168":6689,"_202":6690,"_968":6691,"_6695":6696,"_964":6737,"_2749":6752,"_1120":6758,"_3010":6763,"_1007":6776,"_55":6779,"_931":6783},"Bildgrößen-Anpasser","Passe Bilder auf beliebige Abmessungen an",{"_5131":5132,"_1306":6692,"_6693":6694,"_24":25},"Bildgröße anpassen","resizing","Wird angepasst...","toast",{"_6697":6698,"_6699":6700,"_6701":6702,"_6703":6704,"_6705":6706,"_6707":6708,"_6709":6710,"_6711":6712,"_6713":6714,"_6715":6716,"_6717":6718,"_6719":6720,"_6721":6722,"_6723":6724,"_6725":6726,"_6727":6728,"_6729":6730,"_6731":6732,"_6733":6734,"_6735":6736},"invalidFile","Ungültiger Dateityp","invalidFileDesc","Bitte wähle eine Bilddatei (PNG, JPG, GIF, etc.)","imageLoaded","Bild geladen","imageLoadedDesc","{{width}} × {{height}} Pixel - bereit zum Anpassen","loadError","Bild konnte nicht geladen werden","loadErrorDesc","Das Bild konnte nicht geladen werden. Bitte versuche eine andere Datei.","readError","Datei konnte nicht gelesen werden","readErrorDesc","Die Datei konnte nicht gelesen werden. Bitte versuche es erneut.","noImage","Kein Bild ausgewählt","noImageDesc","Bitte wähle zuerst ein Bild aus, bevor du die Größe anpasst.","canvasError","Canvas-Fehler","canvasErrorDesc","Canvas-Kontext konnte nicht erstellt werden. Versuche die Seite neu zu laden.","resizeSuccess","Bild angepasst!","resizeSuccessDesc","Neue Größe: {{width}} × {{height}} Pixel","resizeError","Größenanpassung fehlgeschlagen","resizeErrorDesc","Etwas ist schief gelaufen. Bitte versuche es erneut.","noResized","Kein angepasstes Bild","noResizedDesc","Bitte passe zuerst ein Bild an, bevor du es herunterlädst.","downloadStarted","Download gestartet","downloadStartedDesc","Dein angepasstes Bild wird heruntergeladen.",{"_6738":6739,"_6740":6741,"_6742":6743,"_6744":6745,"_6746":6747,"_6748":6749,"_6750":6751},"resizeMode","Größenanpassungsmodus","widthLabel","Breite (px)","heightLabel","Höhe (px)","percentageLabel","Skalierungsprozentsatz","percentageHelper","100% = Originalgröße","presetLabel","Vorgabegröße","maintainAspect","Seitenverhältnis beibehalten",{"_6753":6754,"_6755":6756,"_1641":6757},"originalImage","Originalbild","resizedImage","Angepasstes Bild","{{width}} × {{height}} Pixel",{"_6759":6760,"_2042":5635,"_6761":6762},"pixels","Benutzerdefinierte Pixel","preset","Vorgabegrößen",{"_1297":6764,"_6765":6766,"_6767":6768,"_6769":6770,"_6771":6772,"_1301":6773,"_6774":6775},"Full HD (1920×1080)","hd","HD (1280×720)","svga","SVGA (800×600)","xga","XGA (1024×768)","vga","VGA (640×480)","Instagram Quadrat (1080×1080)","instagramStory","Instagram Story (1080×1920)",{"_452":6777,"_3307":6778},"Wähle ein Bild aus, um zu beginnen","Unterstützt PNG, JPG, GIF und andere Bildformate",{"_1007":6780},{"_452":6781,"_3307":6782},"Das angepasste Bild erscheint hier","Lade ein Bild hoch und klicke auf Anpassen",{"_168":6784,"_6079":6785,"_6786":6760,"_6787":6788,"_2042":5635,"_6789":6790,"_6761":6762,"_6791":6792,"_1227":1228,"_947":6793,"_949":6794,"_951":6795,"_1419":6796},"Bildgrößen anpassen","Größenanpassungsmodi","customPixels","customPixelsDesc","Setze exakte Breite und Höhe in Pixeln","percentageDesc","Skaliere nach Prozentsatz (50% = halbe Größe, 200% = doppelt)","presetDesc","Gängige Größen für Web, Social Media und Displays","Halte Seitenverhältnis aktiviert, um Verzerrung zu vermeiden","Verwende Vorgabegrößen für Social-Media-Posts","Kleinere Bilder laden schneller auf Websites","PNG-Format bewahrt Qualität, hat aber größere Dateigröße","tools/image-to-pdf",{"_168":6799,"_202":6800,"_968":6801,"_6805":6806,"_6810":6811,"_63":6813,"_307":6818,"_384":6821,"_931":6826},"Bild zu PDF","Konvertiere Bilder in ein PDF-Dokument",{"_5556":6802,"_6803":6804,"_36":5649},"Erstelle PDF...","create","PDF erstellen ({{count}} Bilder)","upload",{"_6807":6808,"_3199":6809},"prompt","Klicke, um Bilder auszuwählen","JPG, PNG, WebP, GIF unterstützt","list",{"_168":6812},"Bilder ({{count}})",{"_6814":6815,"_6816":6817},"pageSize","Seitengröße","fit","An Bild anpassen",{"_168":6819,"_1046":6820},"Datenschutz:","Alle Verarbeitung erfolgt in deinem Browser. Deine Dateien werden niemals auf einen Server hochgeladen.",{"_6822":6823,"_6656":6824,"_5585":6825},"notImage","{{name}} ist keine Bilddatei","Bitte füge mindestens ein Bild hinzu","PDF-Erstellung fehlgeschlagen. Bitte versuche es erneut.",{"_168":6827,"_6828":6829,"_6830":6831,"_6832":6833,"_6834":6835,"_6836":6837,"_1227":1228,"_947":6838,"_949":6839,"_951":6840},"Seitengrößen-Optionen","sizesTitle","Seitengrößen","fitTitle","An Bild anpassen:","fitDesc","Jede Seite passt zu den Bildabmessungen","a4Desc","Standard-Papierformat (210×297mm)","letterDesc","US-Papierformat (8,5×11 Zoll)","Drag-and-Drop-Neuordnung: Verwende Pfeile beim Hover","Jedes Bild wird zu einer PDF-Seite","Bilder werden auf A4/Letter-Seiten zentriert","tools/inclined-plane-calculator",{"_168":6843,"_202":6844,"_964":6845,"_4871":6848,"_501":6851,"_57":6860,"_2271":6870,"_1190":6878,"_1007":6885,"_931":6887},"Schiefe Ebene Rechner","Berechne Kräfte auf ein Objekt auf einer schiefen Ebene mit Reibung",{"_2764":1102,"_1261":6846,"_5494":6847,"_5487":2229},"Winkel (Grad)","Reibungskoeffizient (μ)",{"_168":2238,"_1637":2241,"_5490":5491,"_6849":6850,"_5494":5495},"parallel","Parallel (W∥)",{"_6852":6853,"_6854":6855,"_6856":6857,"_6858":6859},"willSlide","Objekt wird rutschen","willNotSlide","Objekt wird nicht rutschen","accelerationMsg","Beschleunigung: {{acceleration}} m/s² die Ebene hinunter","staticMsg","Statische Reibung reicht aus, um das Objekt zu halten",{"_6861":6862,"_1637":6863,"_5490":5501,"_5494":6864,"_6865":6866,"_6849":6867,"_6868":6869},"forcesTitle","Kräfte","Gewicht (mg)","Reibungskraft","componentsTitle","Gewichtskomponenten","Parallel (mg sin θ)","perpendicular","Senkrecht (mg cos θ)",{"_168":2272,"_5497":5498,"_6871":6872,"_2269":6873,"_6874":6875,"_6876":6877},"forceToSlide","Rutschende Kraft","Nettokraft (parallel)","criticalAngle","Kritischer Winkel für","minFriction","Min. μ für",{"_168":1192,"_5793":6879,"_5795":6880,"_5797":6881,"_5799":6882,"_5961":6883,"_202":6884},"Gewicht parallel: W∥ = mg sin θ","Gewicht senkrecht: W⊥ = mg cos θ","Normalkraft: N = mg cos θ","Reibungskraft: f = μN","Kritischer Winkel: θc = arctan(μ)","Objekt rutscht, wenn mg sin θ > μ mg cos θ, d.h. wenn tan θ > μ",{"_1046":6886},"Gib gültige Werte ein, um Kräfte zu berechnen",{"_168":6888,"_202":6889},"Über den Schiefe Ebene Rechner","Analysiere Kräfte auf ein Objekt, das auf einer schiefen Oberfläche ruht oder herunterrutscht. Der Rechner bestimmt, ob das Objekt basierend auf Winkel und Reibungskoeffizient rutschen wird.","tools/inflation-calculator",{"_168":6892,"_202":6893,"_964":6894,"_1120":6900,"_968":6905,"_57":6907,"_5780":6923,"_139":6926,"_931":6934,"_1007":6959},"Inflations-Rechner","Berechne Kaufkraftveränderungen und inflationsbereinigte Werte im Laufe der Zeit",{"_3932":6895,"_6896":6897,"_6898":6899,"_1097":5747},"Betrag ($)","startYearLabel","Startjahr","endYearLabel","Endjahr",{"_6901":6902,"_6903":6904},"forward","Zukünftiger Wert (Was würde es heute kosten?)","backward","Vergangener Wert (Was war es wert?)",{"_30":6906},"Inflation berechnen",{"_168":6908,"_6909":6910,"_6911":6912,"_6913":6914,"_6915":6916,"_6917":6918,"_6919":6920,"_6921":6922},"Inflationsergebnisse","originalAmount","Ursprünglicher Betrag","adjustedAmount","Angepasster Betrag","totalInflation","Gesamtinflation","avgAnnualRate","Durchschn. Jahresrate","purchasingPower","Kaufkraftveränderung","explanation","{startAmount} in {startYear} hat dieselbe Kaufkraft wie {endAmount} in {endYear}","cumulativeInflation","Kumulative Inflation",{"_168":6924,"_4750":6925},"Inflation im Zeitverlauf","Wert ($)",{"_168":6927,"_6928":6929,"_6930":6931,"_6932":6933},"Schnellbeispiele","100in1990","100$ in 1990","1000in2000","1.000$ in 2000","50000in1980","50.000$ in 1980",{"_168":6935,"_202":6936,"_1054":6937,"_6938":6939,"_2879":6481,"_6940":6941,"_6942":6943,"_6944":6945,"_6946":6947,"_1840":6948,"_1842":6949,"_1844":6950,"_6951":6952,"_6953":6954,"_6955":6956,"_6957":6958},"Über den Inflations-Rechner","Dieser Rechner verwendet historische US-Verbraucherpreisindex (CPI) Daten, um zu zeigen, wie sich die Kaufkraft des Geldes im Laufe der Zeit durch Inflation verändert.","Was ist Inflation?","whatIs","Inflation ist die Rate, mit der das allgemeine Preisniveau für Waren und Dienstleistungen steigt, wodurch die Kaufkraft sinkt. Ein Dollar heute kauft weniger als ein Dollar in der Vergangenheit.","howItWorks1","Verwendet offizielle CPI-U (Verbraucherpreisindex für alle städtischen Verbraucher) Daten","howItWorks2","Daten vom U.S. Bureau of Labor Statistics","howItWorks3","Berechnet reale Kaufkraft, nicht nur numerische Veränderungen","examplesTitle","Auswirkungen in der realen Welt","Eine Kinokarte, die 1990 4,25$ kostete, würde heute etwa 10$ kosten","Ein Gehalt von 25.000$ in 1980 hat die Kaufkraft von über 90.000$ heute","Benzin zu 1,00$/Gallone in 1990 entspricht heute etwa 2,30$ (ohne Marktveränderungen)","limitationsTitle","Einschränkungen","limitation1","CPI ist ein Durchschnitt und spiegelt möglicherweise nicht deine persönlichen Ausgaben wider","limitation2","Einige Kategorien (Gesundheit, Bildung) inflationieren schneller als der Durchschnitt","limitation3","Regionale Kosten können erheblich von nationalen Durchschnitten abweichen",{"_452":6960},"Enter amount and year to calculate inflation","tools/invoice-generator",{"_168":6963,"_202":6964,"_139":6965,"_964":7000,"_2351":7015,"_931":7040},"Rechnungs-Generator","Erstelle professionelle Rechnungen mit automatischen Berechnungen",{"_6966":6967,"_6968":6969,"_6970":6971,"_6972":6973,"_6974":6975,"_6976":6977,"_6978":6979,"_6980":6981,"_6982":6983,"_6984":6985,"_6986":6987,"_6988":6989,"_6990":6991,"_6992":6993,"_6994":6995,"_6996":6997,"_6998":6999},"freelanceDesign","Freelance-Designarbeit","freelanceDesignCompany","Kreative Studios","freelanceDesignClient","Tech Startup GmbH","freelanceDesignItem1","Logo-Design","freelanceDesignItem2","Markenrichtlinien","freelanceDesignItem3","Website-Mockups","softwareDevelopment","Software-Entwicklung","softwareDevelopmentCompany","DevCorp Lösungen","softwareDevelopmentClient","Unternehmenskunde AG","softwareDevelopmentItem1","Individuelle CRM-Entwicklung","softwareDevelopmentItem2","API-Integration","softwareDevelopmentItem3","Tests und QA","consultingServices","Beratungsdienstleistungen","consultingServicesCompany","Strategische Berater","consultingServicesClient","Wachstumsunternehmen GmbH","consultingServicesItem1","Unternehmensstrategie-Beratung","consultingServicesItem2","Marktanalyse-Bericht",{"_7001":7002,"_7003":7004,"_7005":7006,"_7007":7008,"_7009":7010,"_7011":7012,"_7013":7014,"_5415":5416},"companyName","Dein Firmenname","companyPlaceholder","Musterfirma GmbH","clientName","Kundenname","clientPlaceholder","Kunde GmbH","invoiceNumber","Rechnungsnummer","invoiceNumberPlaceholder","RE-001","invoiceDate","Rechnungsdatum",{"_7016":7017,"_1378":7018,"_7019":7020,"_7009":7021,"_7022":7023,"_1594":1660,"_7024":7025,"_7026":7027,"_7005":7028,"_202":1715,"_1635":1636,"_3945":7029,"_5790":3933,"_7030":7031,"_1670":7032,"_7033":7034,"_7035":7036,"_1683":7037,"_7038":7039},"invoice","RECHNUNG","Von:","yourCompany","[Deine Firma]","Rechnung Nr.:","number","[Nummer]","datePlaceholder","[Datum]","billTo","Rechnung an:","[Kundenname]","Preis","itemPlaceholder","Positionsbeschreibung","Position hinzufügen","subtotal","Zwischensumme:","tax","MwSt. ({{rate}}%):","Gesamt:","printSave","Drucken / Als PDF speichern",{"_168":7041,"_202":7042,"_1227":1228,"_947":7043,"_949":7044,"_951":7045,"_1419":7046,"_1276":7047},"So verwendest du den Rechnungs-Generator","Fülle deine Firmendetails, Kundeninformationen und Positionen mit Beschreibungen, Mengen und Preisen aus. Die Gesamtsumme wird automatisch inklusive Steuern berechnet. Klicke auf Drucken, um als PDF zu speichern oder direkt zu drucken.","Verwende eindeutige Rechnungsnummern zur Nachverfolgung","Füge detaillierte Beschreibungen für jede Position hinzu","Setze den passenden Steuersatz für deine Region","Speichere als PDF über die Druckfunktion deines Browsers","Hinweis: Dies ist ein einfacher Rechnungs-Generator. Für wiederkehrende Rechnungen oder erweiterte Funktionen solltest du professionelle Rechnungssoftware in Betracht ziehen.","tools/jpg-to-png-converter",{"_168":7050,"_202":7051,"_968":7052,"_1466":7057,"_931":7062},"JPG zu PNG Konverter","Konvertiere JPG/JPEG-Bilder in das PNG-Format",{"_5131":7053,"_7054":7055,"_7056":1465},"📁 JPG/JPEG-Bild auswählen","convertToPng","🔄 Zu PNG konvertieren","downloadPng",{"_6753":7058,"_7059":7060,"_409":7061},"Originalbild (JPG)","convertedImage","Konvertiertes Bild (PNG)","✅ Erfolgreich in PNG-Format konvertiert! PNG-Bilder unterstützen Transparenz und sind verlustfrei.",{"_168":7063,"_7064":7065,"_7066":7067,"_7068":7069,"_7070":7071,"_7072":7073,"_7074":7075,"_7076":7077,"_7078":7079,"_7080":7081},"JPG vs PNG","whenUsePngTitle","Wann PNG verwenden","pngTransparency","Transparenz: PNG unterstützt transparente Hintergründe (JPG nicht)","pngTextGraphics","Text & Grafiken: Besser für Bilder mit Text oder scharfen Linien","pngLossless","Verlustfrei: Kein Qualitätsverlust, perfekt zum Bearbeiten","pngWebGraphics","Web-Grafiken: Logos, Icons und UI-Elemente","whenUseJpgTitle","Wann JPG verwenden","jpgPhotographs","Fotografien: Bessere Kompression für Fotos","jpgSmallerFiles","Kleinere Dateien: Typischerweise kleinere Dateigröße als PNG","jpgWebPhotos","Web-Fotos: Schnelleres Laden für Fotogalerien","tools/json-formatter",{"_168":7084,"_202":7085,"_139":7086,"_968":7097,"_964":7103,"_384":7117,"_57":7121,"_931":7126},"JSON-Formatierer & -Validator","Formatiere, validiere und minifiziere JSON-Daten sofort",{"_7087":7088,"_7089":7090,"_3874":3875,"_7091":7092,"_7093":7094,"_7095":7096},"simpleObject","Einfaches Objekt","simpleObjectText","{\"name\":\"Hans\",\"alter\":30,\"stadt\":\"Berlin\"}","arrayOfObjectsText","[{\"id\":1,\"titel\":\"Aufgabe 1\"},{\"id\":2,\"titel\":\"Aufgabe 2\"}]","nestedObject","Verschachteltes Objekt","nestedObjectText","{\"benutzer\":{\"name\":\"Anna\",\"adresse\":{\"stadt\":\"München\",\"plz\":\"80331\"}}}",{"_6575":7098,"_6217":7099,"_7100":7101,"_7102":6216},"Formatieren/Verschönern","Minifizieren","validate","Validieren","loadSample",{"_7104":7105,"_7106":62,"_7107":7108,"_7109":7110,"_7111":7112,"_7113":7114,"_7115":7116},"inputLabel","JSON-Eingabe","outputLabel","outputPlaceholder","Formatierte Ausgabe erscheint hier...","indentLabel","Einzug","indent2","2 Leerzeichen","indent4","4 Leerzeichen","indent8","8 Leerzeichen",{"_168":7118,"_7119":7120},"JSON-Fehler","invalidJSON","Ungültiges JSON",{"_7122":7123,"_7124":7125},"validJSON","✓ Gültiges JSON!","validWithLength","Gültiges JSON - {{length}} Zeichen",{"_168":7127,"_7128":7129,"_6217":7130,"_7100":7131,"_7132":7133,"_1530":7134},"JSON-Formatierungs-Funktionen","formatBeautify","Formatieren/Verschönern: Konvertiere kompaktes JSON in lesbares, eingerücktes Format","Minifizieren: Entferne Leerzeichen, um Dateigröße zu reduzieren","Validieren: Prüfe, ob JSON-Syntax korrekt ist","errorDetection","Fehlererkennung: Erhalte detaillierte Fehlermeldungen für ungültiges JSON","In Zwischenablage kopieren: Kopiere formatierte Ausgabe schnell","tools/jwt-decoder",{"_168":7137,"_202":7138,"_139":7139,"_1466":7142,"_964":7147,"_968":7152,"_501":7155,"_1577":7164,"_384":7171,"_931":7178},"JWT-Decoder","Dekodiere und inspiziere JSON Web Tokens",{"_7140":7141},"exampleToken","Beispiel-Token",{"_7143":7144,"_7145":7146},"noteTitle","Hinweis:","noteDesc","Dieses Tool dekodiert JWT-Tokens clientseitig in deinem Browser. Es verifiziert keine Signaturen und validiert keine Tokens. Füge niemals Tokens mit sensiblen Daten auf nicht vertrauenswürdigen Websites ein.",{"_7148":7149,"_7150":7151},"jwtToken","JWT-Token","tokenPlaceholder","JWT-Token hier einfügen...",{"_7153":7154,"_20":21},"decodeJwt","JWT dekodieren",{"_7156":7157,"_7158":7159,"_7160":7161,"_7162":7163},"tokenExpired","Token abgelaufen","tokenValid","Token gültig","expires","Läuft ab: {{date}}","issued","Ausgestellt: {{date}}",{"_226":7165,"_7166":7167,"_461":7168,"_7169":7170},"Header","payload","Payload","Signatur","signatureNote","Signatur wird in diesem Tool nicht verifiziert",{"_7172":7173,"_3170":7174,"_1544":7175,"_7176":7177},"enterToken","Bitte gib einen JWT-Token ein","Ungültiges JWT-Format. JWT muss 3 durch Punkte getrennte Teile haben.","Ungültige Base64-Kodierung","decodeFailed","JWT-Token konnte nicht dekodiert werden",{"_168":7179,"_202":7180,"_7181":7182,"_7183":7184,"_7185":7186,"_7187":7188,"_7189":7190,"_7191":7192,"_7193":7194,"_7195":7196,"_7197":7198,"_7199":7200},"Über JWT-Tokens","JSON Web Tokens (JWT) sind eine kompakte, URL-sichere Methode zur Darstellung von Claims zwischen zwei Parteien. Sie bestehen aus drei Teilen: Header, Payload und Signatur, getrennt durch Punkte.","structureTitle","JWT-Struktur","structureHeader","Header: Enthält Token-Typ und Signaturalgorithmus","structurePayload","Payload: Enthält Claims (Benutzerdaten, Ablauf usw.)","structureSignature","Signatur: Verifiziert, dass der Token nicht manipuliert wurde","commonClaimsTitle","Häufige Claims","claimIss","iss: Aussteller des Tokens","claimSub","sub: Subjekt (Benutzer-ID)","claimExp","exp: Ablaufzeit","claimIat","iat: Ausstellungszeit","claimAud","aud: Zielgruppe (vorgesehener Empfänger)","tools/keyword-density-checker",{"_168":7203,"_202":7204,"_139":7205,"_964":7214,"_505":7223,"_7219":7226,"_7242":7243,"_931":7255},"Keyword-Dichte-Prüfer","Analysiere Keyword-Häufigkeit und -Dichte in deinem Inhalt",{"_7206":7207,"_7208":7209,"_7210":7211,"_7212":7213},"techArticle","Tech-Artikel","techArticleText","Next.js ist ein leistungsstarkes React-Framework für die Webentwicklung. Next.js macht es einfach, performante Webanwendungen zu erstellen. Mit Next.js können Sie serverseitiges Rendering und statische Seiten generieren. Next.js optimiert automatisch Ihre Anwendung für beste Performance. Next.js ist flexibel, erweiterbar und kann für komplexe Enterprise-Anwendungen verwendet werden.","blogPost","Blog-Beitrag","blogPostText","Kaffee zubereiten ist eine Kunst, die Liebe zum Detail erfordert. Der beste Kaffee stammt von frisch gerösteten Bohnen. Beim Kaffee zubereiten zu Hause sollten Sie immer gefiltertes Wasser verwenden und die Kaffeebohnen kurz vor dem Brühen mahlen. Eine gute Kaffeemühle ist für gleichbleibende Ergebnisse unerlässlich. Ob Sie Espresso oder Filterkaffee bevorzugen, die Qualität Ihrer Kaffeebohnen ist am wichtigsten.",{"_7215":7216,"_7217":7218,"_7219":7220,"_7221":7222},"contentToAnalyze","Zu analysierender Inhalt","contentPlaceholder","Füge deinen Inhalt hier ein, um die Keyword-Dichte zu analysieren...","targetKeyword","Ziel-Keyword (optional)","keywordPlaceholder","Gib ein Keyword zum Verfolgen ein",{"_2828":2829,"_7224":7225,"_2830":2831,"_1538":1539},"unique","Eindeutig",{"_168":7227,"_7228":7229,"_7230":7231,"_7232":7233,"_7234":7235,"_7236":7237,"_7238":7239,"_7240":7241},"Ziel-Keyword: \"{{keyword}}\"","occurrences","Vorkommen: ","density","Dichte: ","densityValue","{{density}}%","optimal","✓ Optimal","low","↓ Niedrig","high","↑ Hoch","recommendedDensity","Empfohlene Dichte: 0,5% - 3%","tables",{"_7244":7245,"_7246":7247,"_7248":7249,"_7250":7251,"_7252":7253,"_7230":7254},"topKeywordsTitle","Top-Keywords (Einzelwörter)","topPhrasesTitle","Top-Phrasen (2+ Vorkommen)","keyword","Keyword","phrase","Phrase","count","Anzahl","Dichte",{"_168":7256,"_1054":7257,"_1056":7258,"_7259":7260,"_7261":7262,"_7263":7264,"_7265":7266,"_7267":7268,"_7269":7270,"_2452":7271,"_2454":7272,"_2456":7273,"_2458":7274},"Keyword-Dichte-Leitfaden","Was ist Keyword-Dichte?","Keyword-Dichte ist der Prozentsatz, wie oft ein Keyword in deinem Inhalt im Vergleich zur Gesamtwortzahl erscheint. Es ist eine wichtige SEO-Metrik zur Inhaltsoptimierung.","optimalDensityTitle","Optimale Dichte","targetRange","Zielbereich: 0,5% - 3%","tooLow","Zu niedrig (<0,5%): Könnte nicht für das Keyword ranken","tooHigh","Zu hoch (>3%): Risiko einer Keyword-Stuffing-Strafe","naturalContent","Fokussiere dich zuerst auf natürlichen, lesbaren Inhalt","bestPracticesTitle","SEO Best Practices","Verwende Keywords in Titel, Überschriften und erstem Absatz","Füge Synonyme und verwandte Begriffe hinzu (LSI-Keywords)","Schreibe für Menschen, optimiere für Suchmaschinen","Berücksichtige Suchabsicht, nicht nur Keyword-Anzahl","tools/kinematics-solver-calculator",{"_168":7277,"_202":7278,"_964":7279,"_4871":7296,"_7301":7302,"_1190":7306,"_1007":7318,"_931":7320},"Kinematik-Löser-Rechner","Löse SUVAT-Kinematikgleichungen für gleichmäßig beschleunigte Bewegung",{"_2093":5747,"_7280":7281,"_7282":7283,"_7284":7285,"_7286":7287,"_7288":7289,"_2853":7290,"_7291":7281,"_7292":7283,"_7293":7285,"_7294":7287,"_7295":7289,"_2124":5767},"displacementS","s - Verschiebung (m)","initialU","u - Anfangsgeschwindigkeit (m/s)","finalV","v - Endgeschwindigkeit (m/s)","accelerationA","a - Beschleunigung (m/s²)","timeT","t - Zeit (s)","Gib mindestens 3 bekannte Werte ein, um für die ausgewählte Variable zu lösen","sLabel","uLabel","vLabel","aLabel","tLabel",{"_168":7297,"_2853":7298,"_2998":2999,"_7299":7300},"Bewegungsdiagramm","Punkte zeigen Position in gleichen Zeitabständen. Näher beieinander liegende Punkte zeigen langsamere Bewegung an.","end","Ende","solution",{"_168":7303,"_7304":7305},"Lösung","using","Verwendet",{"_168":7307,"_6397":6398,"_7308":7309,"_7310":7311,"_7312":7313,"_7314":7315,"_7316":7317},"SUVAT-Gleichungen","sDesc","s = Verschiebung","uDesc","u = Anfangsgeschwindigkeit","vDesc","v = Endgeschwindigkeit","aDesc","a = Beschleunigung","tDesc","t = Zeit",{"_1046":7319},"Gib mindestens 3 bekannte Werte ein, um zu lösen",{"_168":7321,"_202":7322},"Über den Kinematik-Löser-Rechner","Löse kinematische Probleme mit gleichmäßig beschleunigter Bewegung. Gib drei bekannte Werte ein und der Rechner bestimmt die verbleibenden Variablen mithilfe der SUVAT-Gleichungen.","tools/lens-equation-calculator",{"_168":7325,"_202":7326,"_964":7327,"_1151":7353,"_57":7361,"_7379":7380,"_1190":7394,"_139":7400,"_1007":7405,"_931":7407},"Linsengleichung-Rechner","Berechne Bildweite, Gegenstandsweite oder Brennweite mit der Dünne-Linsen-Gleichung",{"_2093":5747,"_7328":7329,"_7330":7331,"_7332":7333,"_7334":7335,"_7336":7337,"_7338":7339,"_7340":7341,"_7342":7343,"_7344":7345,"_7346":7347,"_7348":7349,"_7350":7351,"_2124":7352},"solveImageDistance","Bildweite (di)","solveObjectDistance","Gegenstandsweite (do)","solveFocalLength","Brennweite (f)","focalLength","Brennweite (cm)","focalLengthPlaceholder","+ Sammellinse, - Streulinse","focalLengthHint","Positiv für Sammellinse, negativ für Streulinse","objectDistance","Gegenstandsweite (cm)","objectDistancePlaceholder","immer positiv","imageDistance","Bildweite (cm)","imageDistancePlaceholder","+ reell, - virtuell","objectHeight","Gegenstandshöhe (cm)","objectHeightPlaceholder","für Vergrößerung","(berechne)",{"_168":7354,"_7355":7356,"_7357":7358,"_7359":7360},"Strahlendiagramm","object","Gegenstand","realImage","Reelles Bild","virtualImage","Virtuelles Bild",{"_7334":7362,"_7340":7363,"_7344":7364,"_7365":7366,"_7367":7368,"_7369":7370,"_7371":7372,"_7373":7374,"_7357":7358,"_7359":7360,"_7375":7376,"_7377":7378},"Brennweite","Gegenstandsweite","Bildweite","magnification","Vergrößerung","imageHeight","Bildhöhe","lensPower","Linsenstärke","converging","Sammellinse","diverging","Streulinse","upright","Aufrecht","inverted","Umgekehrt","signConventions",{"_168":7381,"_7382":7383,"_7384":7385,"_7386":7387,"_7388":7389,"_7390":7391,"_7392":7393},"Vorzeichenkonventionen","fPositive","f > 0: Sammellinse","fNegative","f < 0: Streulinse","diPositive","di > 0: reelles Bild (gegenüberliegende Seite)","diNegative","di < 0: virtuelles Bild (gleiche Seite)","mPositive","m > 0: aufrechtes Bild","mNegative","m < 0: umgekehrtes Bild",{"_168":7395,"_7396":7397,"_7365":7398,"_3239":7399},"Dünne-Linsen-Gleichung","thinLens","1/f = 1/do + 1/di","m = -di/do = hi/ho","Stärke (D) = 1/f (Meter)",{"_7401":7402,"_7403":7404,"_7373":7374},"convergingReal","Sammellinse (Reell)","convergingVirtual","Sammellinse (Virtuell)",{"_1046":7406},"Gib Werte ein, um Bildeigenschaften zu berechnen",{"_168":7408,"_202":7409,"_1212":1213,"_1214":7410,"_1216":7411,"_1218":7412,"_1220":7413,"_1078":1222,"_1080":7414,"_1082":7415,"_1084":7416,"_1086":1223},"Über den Linsengleichung-Rechner","Die dünne Linsengleichung setzt die Brennweite einer Linse mit den Gegenstands- und Bildweiten in Beziehung. Dieses Tool hilft dir, jede unbekannte Variable zu berechnen und das Strahlendiagramm zu visualisieren.","Sammellinsen (f > 0) können reelle oder virtuelle Bilder erzeugen","Streulinsen (f < 0) erzeugen immer virtuelle, aufrechte Bilder","Reelle Bilder entstehen dort, wo Lichtstrahlen tatsächlich konvergieren","Virtuelle Bilder erscheinen dort, wo Strahlen zu divergieren scheinen","Kameralinsen-Design und Fotografie","Brillen- und Kontaktlinsen-Verschreibungen","Mikroskop- und Teleskop-Optik","tools/limit-calculator",{"_168":7419,"_202":7420,"_964":7421,"_968":7443,"_7445":7446,"_1151":7448,"_57":7453,"_7464":7465,"_384":7468,"_931":7475},"Grenzwert-Rechner","Berechne Grenzwerte von Funktionen numerisch mit Visualisierung",{"_7422":7423,"_4136":7424,"_7425":7426,"_7427":7428,"_4643":7429,"_7430":7431,"_7432":7433,"_7434":7435,"_3623":7436,"_7437":7438,"_7439":7440,"_7441":7442},"expression","Ausdruck f(x)","z.B. sin(x)/x, (x^2-1)/(x-1)","expressionHint","Unterstützt: +, -, *, /, ^, sin, cos, tan, ln, sqrt, abs, exp, pi, e","variable","Variable","Nähert sich","finiteValue","Endlicher Wert","value","Wert","valuePlaceholder","z.B. 0","Richtung","bothSides","Beide Seiten","leftSide","Links (x → a⁻)","rightSide","Rechts (x → a⁺)",{"_30":7444},"Grenzwert berechnen","commonLimits",{"_168":7447},"Häufige Grenzwerte",{"_168":1152,"_7449":7450,"_7451":7452},"approach","Annäherung","limit","Grenzwert",{"_168":56,"_7454":7455,"_7456":7457,"_7458":7459,"_7460":7461,"_7462":7463},"leftHand","Linksseitiger Grenzwert","rightHand","Rechtsseitiger Grenzwert","numericalApproach","Numerische Annäherung","undefined","Undefiniert","dne","Existiert nicht","indeterminate",{"_168":7466,"_202":7467},"Unbestimmte Ausdrücke","Diese Formen erfordern zusätzliche Techniken (L'Hospital-Regel, algebraische Manipulation) zur Auswertung:",{"_7469":7470,"_7471":7472,"_7473":7474},"enterExpression","Bitte gib einen Ausdruck ein","invalidValue","Bitte gib eine gültige Zahl ein, der sich genähert werden soll","invalidExpression","Ungültiger Ausdruck. Überprüfe deine Syntax.",{"_168":7476,"_202":7477,"_1212":7478,"_1214":7479,"_1216":7480,"_1218":7481,"_1276":7482},"Über den Grenzwert-Rechner","Ein Grenzwert beschreibt den Wert, dem sich eine Funktion nähert, wenn sich die Eingabe einem bestimmten Wert nähert. Dieser Rechner verwendet numerische Approximation zur Auswertung von Grenzwerten.","Einseitige Grenzwerte","Linksseitiger Grenzwert: x → a⁻ (Annäherung von unten)","Rechtsseitiger Grenzwert: x → a⁺ (Annäherung von oben)","Der zweiseitige Grenzwert existiert nur, wenn beide einseitigen Grenzwerte existieren und gleich sind","Hinweis: Dieser Rechner verwendet numerische Approximation. Für exakte Ergebnisse verwende algebraische Techniken.","tools/linear-regression-calculator",{"_168":7485,"_202":7486,"_964":7487,"_968":7493,"_1151":7494,"_57":7501,"_1190":7516,"_1007":7523,"_931":7525},"Lineare Regression Rechner","Berechne Steigung, Y-Achsenabschnitt und R² für lineare Regression mit Streudiagramm-Visualisierung",{"_3594":3595,"_3596":7488,"_2823":3598,"_3599":3600,"_7489":7490,"_7491":7492},"(ein x, y Paar pro Zeile)","predictY","Y für X-Wert vorhersagen","predictPlaceholder","Gib x ein, um y vorherzusagen",{"_6215":6216},{"_168":7495,"_1007":3604,"_3594":7496,"_7497":7498,"_7499":7500},"Streudiagramm mit Regressionsgerade","Datenpunkte","regressionLine","Regressionsgerade","residuals","Residuen",{"_4153":7502,"_5037":7503,"_3612":3613,"_7504":7505,"_7506":7507,"_3545":3546,"_3487":3488,"_3640":3641,"_3642":3643,"_7508":7509,"_7510":7511,"_7512":7513,"_7514":7515,"_2964":2965},"Steigung (m)","Y-Achsenabschnitt (b)","additionalStats","Zusätzliche Statistiken","correlation","Korrelation (r)","predictedY","Vorhergesagtes Y für X = {{x}}","residualsTitle","Datenpunkte & Residuen","yActual","Y (tatsächlich)","yPredicted","Y (vorhergesagt)",{"_168":7517,"_7518":7519,"_4153":7520,"_5037":7521,"_3612":7522},"Formeln für lineare Regression","line","y = mx + b (Geradengleichung)","m = (n×ΣXY - ΣX×ΣY) / (n×ΣX² - (ΣX)²)","b = (ΣY - m×ΣX) / n","R² = (Korrelationskoeffizient)²",{"_1046":7524},"Gib mindestens 2 Datenpunkte ein, um die Regression zu berechnen",{"_168":7526,"_202":7527,"_1212":1213,"_1214":7528,"_1216":7529,"_1218":7530,"_1220":7531,"_1078":1222,"_1080":7532,"_1082":7533,"_1084":7534},"Über den Lineare Regression Rechner","Lineare Regression findet die am besten passende Gerade durch eine Reihe von Datenpunkten. Sie minimiert die Summe der quadrierten vertikalen Abstände (Residuen) zwischen den Datenpunkten und der Geraden.","Steigung (m) gibt die Änderungsrate von Y für jede Einheitsänderung von X an","Y-Achsenabschnitt (b) ist der Y-Wert, wenn X gleich null ist","R² (Bestimmtheitsmaß) misst, wie gut die Gerade zu den Daten passt (0 bis 1)","Residuen zeigen die Differenz zwischen tatsächlichen und vorhergesagten Y-Werten","Trendvorhersagen und Prognosen","Wissenschaftliche Datenanalyse","Geschäfts- und Wirtschaftsmodellierung","tools/loan-calculator",{"_168":7537,"_202":7538,"_139":7539,"_964":7546,"_7554":7555,"_57":7556,"_931":7562,"_1007":7570},"Kredit-Rechner","Berechne monatliche Raten, Gesamtzinsen und Zahlungsplan für jeden Kredit",{"_7540":7541,"_7542":7543,"_7544":7545},"carLoan","Autokredit","personalLoan","Privatkredit","businessLoan","Geschäftskredit",{"_2514":7547,"_7548":7549,"_7550":2519,"_3419":3420,"_2520":7551,"_7552":7553},"Kreditsumme ($)","loanAmountPlaceholder","Kreditsumme eingeben","annualInterestRate","Kreditlaufzeit","termPlaceholder","Laufzeit eingeben","termUnits",{"_4062":4063,"_974":975},{"_2527":7557,"_2529":7558,"_7559":7560,"_2540":7561},"Monatliche Rate","Gesamtzinsen","totalPayment","Gesamtzahlung","Anzahl der Zahlungen: {{count}} Monate",{"_168":7563,"_202":7564,"_7565":7566,"_2527":7567,"_2529":7568,"_7559":7569},"So verwendest du diesen Kredit-Rechner","Gib deine Kreditdetails ein, um monatliche Raten und Gesamtzinsen zu berechnen. Dieser Rechner verwendet die Standard-Tilgungsformel, um dir genaue Ergebnisse für Autokredite, Privatkredite, Studienkredite und mehr zu liefern.","understandingResultsTitle","Deine Ergebnisse verstehen","Monatliche Rate: Der feste Betrag, den du jeden Monat zahlst","Gesamtzinsen: Gesamte Zinsen, die über die Kreditlaufzeit gezahlt werden","Gesamtzahlung: Kreditsumme plus alle Zinskosten",{"_452":2564},"tools/logarithm-calculator",{"_168":7573,"_202":7574,"_964":7575,"_1151":7594,"_57":7598,"_7604":7605,"_1190":7623,"_931":7629,"_1007":7640},"Logarithmus-Rechner","Berechne Logarithmen mit beliebiger Basis, Antilogarithmen und visualisiere Exponential-/Logarithmuskurven",{"_30":5747,"_7576":7577,"_7578":7579,"_2760":7580,"_7581":7582,"_7583":7584,"_7585":7586,"_7587":2216,"_7588":7589,"_7590":7591,"_7592":7593},"logarithm","Logarithmus","antilogarithm","Antilogarithmus (Umkehr)","Basis","baseNatural","Natürlich (e)","baseCommon","Gewöhnlich (10)","baseBinary","Binär (2)","baseCustom","customBase","Benutzerdefinierte Basis","valueLabel","Wert (x) für log","exponentLabel","Exponent (y) für",{"_168":7595,"_7576":7577,"_7596":7597},"Exponential- & Logarithmuskurven","exponential","Exponential",{"_168":58,"_7599":56,"_7600":7601,"_7602":7602,"_7603":7603},"singleResult","lnBaseE","ln (Basis e)","log10","log2","properties",{"_168":7606,"_7607":7608,"_7609":7610,"_7611":7612,"_7613":7614,"_7615":7616,"_7617":7618,"_7619":7620,"_7621":7622},"Logarithmus-Eigenschaften","productRule","Produktregel","productFormula","log_b(xy) = log_b(x) + log_b(y)","quotientRule","Quotientenregel","quotientFormula","log_b(x/y) = log_b(x) - log_b(y)","powerRule","Potenzregel","powerFormula","log_b(x^n) = n × log_b(x)","changeOfBase","Basiswechsel","changeOfBaseFormula","log_b(x) = log_c(x) / log_c(b)",{"_168":3267,"_7619":7624,"_7625":7626,"_7627":7628},"log_b(x) = ln(x) / ln(b)","inverseExp","b^(log_b(x)) = x","inverseLog","log_b(b^x) = x",{"_168":7630,"_202":7631,"_1212":1213,"_1214":7632,"_1216":7633,"_1218":7634,"_1220":7635,"_1078":1222,"_1080":7636,"_1082":7637,"_1084":7638,"_1086":7639},"Über den Logarithmus-Rechner","Logarithmen sind die Umkehrung der Potenzierung. Der Logarithmus zur Basis b von x (geschrieben log_b(x)) beantwortet die Frage: 'Auf welche Potenz muss b erhöht werden, um x zu erhalten?'","Natürlicher Logarithmus (ln) verwendet Basis e ≈ 2,718","Gewöhnlicher Logarithmus (log10) verwendet Basis 10","Binärer Logarithmus (log2) verwendet Basis 2, üblich in der Informatik","Antilogarithmus ist die Umkehrung: antilog_b(y) = b^y","Messung von Schallintensität (Dezibel)","Erdbebenstärke (Richterskala)","pH-Werte in der Chemie","Algorithmuskomplexität in der Informatik",{"_1046":7641},"Enter values to calculate logarithm","tools/long-division-solver",{"_168":7644,"_202":7645,"_964":7646,"_968":7651,"_384":7654,"_1048":7656,"_57":7657,"_931":7682},"Schriftliche Division Löser","Löse schriftliche Divisionsaufgaben mit Schritt-für-Schritt-Lösungen",{"_7647":7648,"_7649":7650},"dividend","Dividend (zu teilende Zahl)","divisor","Divisor (teilen durch)",{"_7652":7653},"solve","Division lösen",{"_5363":7655},"Division durch null nicht möglich","Gib Zahlen ein und klicke auf \"Division lösen\"",{"_7658":7659,"_7660":7661,"_1358":7662,"_5368":7663,"_4484":7664,"_7665":7666,"_7667":7668,"_7669":7670,"_7671":7672,"_7673":7674,"_7675":7676,"_7677":7678,"_189":7679,"_7680":7681},"answerLabel","Antwort","remainder","Rest","Als Dezimalzahl","Schritt-für-Schritt-Lösung","Schritt {{number}}","quotientDigit","Quotientenziffer","workingNumber","Arbeitszahl","divideBy","Teilen durch","finalRemainder","Endgültiger Rest","factsTitle","Schnelle Fakten","factQuotient","Quotient: {{quotient}} (die Antwort)","factRemainder","Rest: {{remainder}} (was übrig bleibt)","Prüfung","verified","Lösung verifiziert!",{"_168":7683,"_7684":7685,"_2404":7686,"_2406":7687,"_2408":7688,"_2410":7689,"_2412":7690,"_1587":7691,"_7692":7693,"_7694":7695,"_7696":7697,"_7698":7699,"_7700":7701,"_7702":7703,"_7704":7661,"_7705":7706,"_1227":7707,"_947":7708,"_949":7709,"_951":7710,"_1419":7711,"_3460":7712},"Schriftliche Division verstehen","howTitle","Wie schriftliche Division funktioniert","Dividieren: Wie oft passt der Divisor in die Arbeitszahl?","Multiplizieren: Multipliziere die Quotientenziffer mit dem Divisor","Subtrahieren: Subtrahiere das Produkt von der Arbeitszahl","Herunterholen: Hole die nächste Ziffer herunter und wiederhole","Wiederholen: Fahre fort, bis alle Ziffern verwendet wurden","Divisions-Begriffe","termDividend","Dividend","termDividendDesc","Die Zahl, die geteilt wird","termDivisor","Divisor","termDivisorDesc","Die Zahl, durch die geteilt wird","termQuotient","Quotient","termQuotientDesc","Die Antwort/das Ergebnis","termRemainder","termRemainderDesc","Der übrig gebliebene Betrag","Tipps für schriftliche Division","Arbeite von links nach rechts durch den Dividenden","Stelle sicher, dass jede Quotientenziffer korrekt ist, bevor du weitermachst","Richte deine Zahlen sorgfältig aus, um Fehler zu vermeiden","Überprüfe deine Arbeit: Quotient × Divisor + Rest sollte dem Dividenden entsprechen","Übe zuerst mit kleineren Zahlen, bevor du größere Aufgaben angehst","tools/lorem-ipsum-generator",{"_168":7715,"_202":7716,"_139":7717,"_964":7724,"_34":7728,"_7729":7730,"_1530":1531,"_931":7731},"Lorem Ipsum Generator","Generiere Platzhaltertext für deine Designs und Mockups",{"_7718":7719,"_7720":7721,"_7722":7723},"3paragraphs","3 Absätze","5sentences","5 Sätze","50words","50 Wörter",{"_5013":7725,"_7252":7253,"_7726":7727,"_2832":2833,"_2830":2831,"_2828":2829},"Typ","startWithLorem","Mit \"Lorem ipsum\" beginnen","Lorem Ipsum generieren","generatedText","Generierter Text",{"_168":7732,"_7733":7734,"_7735":7736,"_7737":7738,"_7739":7740,"_7741":7742,"_7743":7744,"_7745":7746,"_7747":7748},"Was ist Lorem Ipsum?","loremIpsumLabel","Lorem Ipsum:","loremIpsumText","Standard-Platzhaltertext, der in Design und Verlagswesen verwendet wird","originsLabel","Ursprung:","originsText","Abgeleitet von lateinischem Text von Cicero aus dem Jahr 45 v. Chr.","purposeLabel","Zweck:","purposeText","Hilft Designer:innen, sich auf visuelle Elemente ohne sinnvolle Inhaltsablenkung zu konzentrieren","industryStandardLabel","Industriestandard:","industryStandardText","Seit den 1500er Jahren weithin in Webdesign, Druck und Typografie verwendet","tools/lotto-number-generator",{"_168":7751,"_202":7752,"_139":7753,"_3010":7760,"_964":7763,"_968":7774,"_57":7779,"_931":7786},"Lotto-Zahlen-Generator","Generiere zufällige Lottozahlen für jedes Lottospiel",{"_7754":7755,"_7756":7757,"_7758":7759},"powerball","Powerball","megaMillions","Mega Millions","euroMillions","EuroMillions",{"_7754":7755,"_7761":7757,"_7762":7759,"_2215":2216},"megamillions","euromillions",{"_7764":7765,"_7766":7767,"_7768":7769,"_7770":7771,"_7772":7773},"lotteryGame","Lottospiel","mainNumbersCount","Anzahl Hauptzahlen","mainNumberRange","Hauptzahlenbereich (1-N)","bonusNumbersCount","Anzahl Bonuszahlen","bonusNumberRange","Bonuszahlenbereich (1-N)",{"_7775":7776,"_7777":7778},"generate1Set","1 Set generieren","generate5Sets","5 Sets generieren",{"_7780":7781,"_7782":7783,"_7784":7785},"yourLuckyNumbers","Deine Glückszahlen","set","Set {{number}}:","bonusSeparator","+",{"_168":7787,"_202":7788,"_7789":7790,"_7754":7791,"_7756":7792,"_7758":7793,"_164":7794},"So verwendest du den Lotto-Zahlen-Generator","Generiere zufällige Lottozahlen für beliebte Spiele wie Powerball, Mega Millions oder erstelle deine eigene benutzerdefinierte Lotterie. Alle Zahlen sind zufällig generiert und innerhalb jedes Sets einzigartig.","popularGamesTitle","Beliebte Lotteriespiele","Powerball: 5 Zahlen (1-69) + 1 Powerball (1-26)","Mega Millions: 5 Zahlen (1-70) + 1 Mega Ball (1-25)","EuroMillions: 5 Zahlen (1-50) + 2 Glückssterne (1-12)","Denk dran: Dieses Tool generiert Zufallszahlen zur Unterhaltung. Spiele immer verantwortungsvoll.","tools/macro-calculator",{"_168":7797,"_202":7798,"_139":7799,"_964":7805,"_7816":7817,"_7824":7825,"_57":7834,"_931":7854,"_1007":7868},"Makronährstoff-Rechner","Berechne deine idealen Makronährstoffverhältnisse",{"_2606":7800,"_7801":7802,"_7803":7804},"Gewichtsabnahme","muscleGain","Muskelaufbau","ketoDiet","Keto-Diät",{"_7806":7807,"_7808":7809,"_7810":7811,"_7812":7813,"_7814":7815},"dailyCalories","Tägliche Kalorien","caloriesPlaceholder","2000","caloriesHelper","Verwende einen TDEE-Rechner, um deinen täglichen Kalorienbedarf zu finden","goal","Ziel","dietType","Diät-Typ","goals",{"_7818":7819,"_7820":7821,"_7822":7823},"loseWeight","Gewicht verlieren","maintain","Halten","buildMuscle","Muskeln aufbauen","diets",{"_7826":7827,"_7828":7829,"_7830":7831,"_7832":7833},"balanced","Ausgewogen (30/40/30)","lowCarb","Low Carb (40/20/40)","highProtein","High Protein (40/35/25)","keto","Keto (25/5/70)",{"_7835":7836,"_7837":7838,"_7839":7840,"_7841":7842,"_7843":7844,"_7845":7846,"_7847":7848,"_7849":7850,"_7851":7850,"_7852":7853},"protein","Protein ({{percent}}%)","carbs","Kohlenhydrate ({{percent}}%)","fat","Fett ({{percent}}%)","dailyBreakdown","Tägliche Aufschlüsselung","proteinLabel","Protein","carbsLabel","Kohlenhydrate","fatLabel","Fett","proteinCalories","{{grams}}g × 4 = {{calories}} kcal","carbsCalories","fatCalories","{{grams}}g × 9 = {{calories}} kcal",{"_168":7855,"_7856":7857,"_7858":7859,"_7860":7861,"_7835":7862,"_7837":7863,"_7839":7864,"_1227":1228,"_947":7865,"_949":7866,"_951":7867},"Makros verstehen","whatAreMacrosTitle","Was sind Makros?","whatAreMacrosDesc","Makronährstoffe sind die drei Hauptnährstoffe, die Energie liefern: Protein, Kohlenhydrate und Fett.","functionsTitle","Makro-Funktionen","Protein (4 kcal/g): Baut Muskeln auf, repariert Gewebe, hält satt","Kohlenhydrate (4 kcal/g): Hauptenergiequelle, treibt Workouts an","Fett (9 kcal/g): Hormonproduktion, Nährstoffaufnahme","Verfolge Makros mit einer App wie MyFitnessPal","Priorisiere zuerst das Erreichen der Proteinziele","Passe Verhältnisse basierend darauf an, wie du dich fühlst und performst",{"_452":7869},"Enter your details to calculate macros","tools/magnetic-field-calculator",{"_168":7872,"_202":7873,"_964":7874,"_1120":7891,"_57":7897,"_2198":7907,"_139":7914,"_1007":7921,"_1190":7923,"_931":7929},"Magnetfeld-Rechner","Berechne Magnetfeldstärke für verschiedene Leiterkonfigurationen",{"_7875":7876,"_7877":7878,"_7879":7880,"_3699":7881,"_3701":2770,"_7882":7883,"_7884":7885,"_1105":7886,"_1107":2770,"_7887":7888,"_7889":7890},"configurationLabel","Konfiguration","currentLabel","Strom (A)","currentPlaceholder","Ampere","Abstand vom Draht (m)","turnsPerLengthLabel","Windungen pro Meter (n)","turnsPerLengthPlaceholder","Windungen/m","Schleifen-Radius (m)","numTurnsLabel","Anzahl Windungen (N)","numTurnsPlaceholder","Windungen",{"_7892":7893,"_7894":7895,"_5570":7896},"wire","Gerader Draht","solenoid","Solenoid","Kreisförmige Schleife",{"_7898":7899,"_7900":7901,"_1151":7902,"_7903":7904,"_7905":7906},"magneticField","Magnetfeld (B)","inTesla","In Tesla","Feld-Visualisierung","constants","Konstanten","permeability","Permeabilität des freien Raums (μ₀):",{"_7908":7909,"_7910":7911,"_7912":7913,"_7894":7895},"currentIntoPage","I (in Seite hinein)","fieldLines","B-Feldlinien","uniformInside","B (gleichmäßig innen)",{"_7915":7916,"_7917":7918,"_7919":7920},"powerLine","Stromleitung","electromagnet","Elektromagnet","coil","Drahtspule",{"_1046":7922},"Gib gültige Werte ein, um das Magnetfeld zu berechnen",{"_168":1192,"_7892":7924,"_7894":7925,"_5570":7926,"_7927":7928},"Gerader Draht: B = μ₀I / (2πr)","Solenoid: B = μ₀nI","Kreisförmige Schleife: B = μ₀NI / (2R)","mu0","μ₀ = 4π×10⁻⁷ T·m/A",{"_168":7930,"_202":7931,"_7932":7933,"_7934":7935,"_7936":7937,"_7938":7939,"_4727":4826,"_4729":7940,"_4731":7941,"_4733":7942},"Über den Magnetfeld-Rechner","Berechne Magnetfeldstärke für verschiedene stromführende Leitergeometrien unter Verwendung des Biot-Savart-Gesetzes und des Ampèreschen Gesetzes.","configurationsTitle","Konfigurationen","config1","Gerader Draht: Feld nimmt mit Abstand ab, bildet konzentrische Kreise","config2","Solenoid: Erzeugt gleichmäßiges Feld innerhalb der Spule","config3","Kreisförmige Schleife: Feld am stärksten im Zentrum, senkrecht zur Schleifenebene","Elektromagnet-Design","MRT-Geräte und Teilchenbeschleuniger","Elektromotoren und Generatoren","tools/magnifier-tool",{"_168":7945,"_202":7946,"_1120":7947,"_964":7951,"_968":7955,"_7969":7970,"_7976":7977,"_2996":7992,"_931":8000},"Lupe","Vergrößere deine Kameraansicht oder Bildschirminhalte für bessere Sichtbarkeit",{"_5163":7948,"_7949":7950},"Kamera","screen","Bildschirm",{"_1097":4640,"_7952":7953,"_7954":7948},"zoomLabel","Zoom-Stufe","cameraLabel",{"_2998":7956,"_77":78,"_7957":7958,"_7959":7960,"_7961":7962,"_7963":7964,"_7965":7966,"_7967":7968},"Lupe starten","freeze","Einfrieren","unfreeze","Auftauen","fullscreen","Vollbild","exitFullscreen","Vollbild verlassen","flipCamera","Kamera wechseln","invertColors","Farben invertieren","zoom",{"_7971":7971,"_7972":7972,"_7973":7973,"_7974":7974,"_7975":7975},"1x","2x","3x","4x","5x","permissions",{"_7978":7979,"_7980":7981,"_7982":7983,"_7984":7985,"_7986":7987,"_7988":7989,"_7990":7991},"cameraTitle","Kamerazugriff erforderlich","cameraDescription","Dieses Tool benötigt Zugriff auf deine Kamera, um Vergrößerung zu ermöglichen. Klicke auf die Schaltfläche unten, um die Berechtigung zu erteilen.","cameraButton","Kamerazugriff gewähren","cameraDenied","Kamerazugriff wurde verweigert. Bitte aktiviere ihn in deinen Browsereinstellungen.","screenTitle","Bildschirmaufnahme","screenDescription","Teile deinen Bildschirm, um dessen Inhalt zu vergrößern.","screenButton","Bildschirm teilen",{"_168":7993,"_7994":7995,"_7996":7997,"_7957":7998,"_7961":7999},"Steuerung","zoomIn","Vergrößern (+)","zoomOut","Verkleinern (-)","Einfrieren (Leertaste)","Vollbild (F)",{"_168":8001,"_202":8002,"_3046":3047,"_3899":8003,"_3901":8004,"_3903":8005,"_3905":8006,"_3907":8007,"_1078":2493,"_1080":8008,"_1082":8009,"_1084":8010,"_1086":8011,"_1088":8012,"_1227":1228,"_947":8013,"_949":8014,"_951":8015},"Über die Lupe","Eine digitale Lupe, die die Kamera deines Geräts oder Bildschirmaufnahme verwendet, um Text, Bilder und Objekte zu vergrößern. Nützlich zum Lesen kleiner Schrift, Untersuchen von Details oder für Barrierefreiheitsbedürfnisse.","Bis zu 5-fache Zoom-Vergrößerung","Kamera- oder Bildschirmaufnahme-Modi","Standbild-Funktion für ruhige Betrachtung","Farbinvertierung für Kontrast","Vollbildmodus für maximale Sichtbarkeit","Lesen kleiner Schrift (Medikamentenetiketten, Kleingedrucktes)","Untersuchen kleiner Objekte oder Details","Sehhilfe bei Sehschwäche","Vergrößern von Dokumenten oder Fotos","Lesen von Speisekarten oder Schildern","Verwende gute Beleuchtung für beste Kameraergebnisse","Friere das Bild ein, um ohne Bewegung zu lesen","Probiere Farbinvertierung für besseren Kontrast bei manchen Texten","tools/matrix-calculator",{"_168":8018,"_202":8019,"_964":8020,"_3230":8028,"_57":8037,"_4158":8038,"_931":8046},"Matrix-Rechner","Führe Matrixoperationen durch, einschließlich Addition, Multiplikation, Transponierung, Determinante und Inverse",{"_8021":3217,"_8022":8023,"_8024":8025,"_8026":8027},"operationLabel","matrixALabel","Matrix A","matrixBLabel","Matrix B","matrixPlaceholder","Werte eingeben (durch Leerzeichen oder Tab getrennt, eine Zeile pro Reihe)",{"_129":8029,"_3233":8030,"_3235":8031,"_8032":8033,"_4209":8034,"_8035":8036},"A + B (Addition)","A - B (Subtraktion)","A × B (Multiplikation)","transpose","Aᵀ (Transponiert)","|A| (Determinante)","inverse","A⁻¹ (Inverse)",{"_168":56},{"_168":8039,"_8040":8041,"_3235":8042,"_8032":8043,"_4209":8044,"_8035":8045},"Matrix-Operationen","addSub","Addition/Subtraktion: Matrizen müssen gleiche Dimensionen haben","Multiplikation: A-Spalten müssen B-Zeilen entsprechen","Transponiert: Vertausche Zeilen und Spalten (Aᵀ[i][j] = A[j][i])","Determinante: Matrix muss quadratisch sein","Inverse: Matrix muss quadratisch mit Determinante ungleich null sein",{"_168":8047,"_202":8048,"_8049":8050,"_8051":8052,"_8053":8054,"_8055":8056,"_8057":8058,"_1227":1228,"_947":8059,"_949":8060,"_951":8061},"Über den Matrix-Rechner","Führe gängige Matrixoperationen für lineare Algebra durch. Gib Matrizen mit durch Leerzeichen oder Tab getrennten Werten ein, wobei jede Zeile in einer neuen Reihe steht.","operationsTitle","Unterstützte Operationen","op1","Addition und Subtraktion von Matrizen mit übereinstimmenden Dimensionen","op2","Matrixmultiplikation (Zeilen × Spalten)","op3","Transponierung zum Vertauschen von Zeilen und Spalten","op4","Determinante und Inverse für quadratische Matrizen","Verwende Leerzeichen, Tabs oder Kommas, um Werte in einer Zeile zu trennen","Drücke Enter, um eine neue Zeile zu beginnen","Für die Inverse muss die Determinante ungleich null sein","tools/meta-tag-generator",{"_168":8064,"_202":8065,"_139":8066,"_964":8087,"_1466":8115,"_968":8122,"_931":8125},"Meta-Tag-Generator","Generiere SEO-Meta-Tags für deine Website",{"_8067":8068,"_8069":8070,"_8071":8072,"_8073":8074,"_8075":8076,"_8077":8078,"_8079":8080,"_8081":8082,"_8083":8084,"_8085":8086},"coffeeShop","Café","tutorialSite","Tutorial-Website","coffeeShopTitle","Bestes Café in NYC | Täglich frisch geröstet","coffeeShopDescription","Besuche unser gemütliches Café in Manhattan. Frisch geröstete Bohnen, handwerkliches Gebäck und kostenloses WLAN. 7 Tage die Woche von 6-21 Uhr geöffnet.","coffeeShopKeywords","Café, NYC, Manhattan, frisch gerösteter Kaffee, handwerkliches Gebäck","coffeeShopAuthor","Coffee House NYC","tutorialSiteTitle","Webentwicklung Lernen | Kostenlose Programmier-Tutorials","tutorialSiteDescription","Meistere HTML, CSS, JavaScript und React mit unseren kostenlosen Tutorials. Perfekt für Anfänger. Starte heute mit dem Programmieren!","tutorialSiteKeywords","Webentwicklung, Programmier-Tutorials, html, css, javascript, react","tutorialSiteAuthor","Code Academy",{"_8088":8089,"_8090":8091,"_366":8092,"_8093":8094,"_8095":8096,"_8097":8098,"_8099":8100,"_8101":8102,"_8103":8104,"_8105":8106,"_8107":8108,"_8109":8110,"_8111":8112,"_8113":8114},"pageTitle","Seitentitel ({{count}}/60 Zeichen)","pageTitlePlaceholder","Dein Seitentitel | Markenname","Meta-Beschreibung ({{count}}/160 Zeichen)","metaDescriptionPlaceholder","Eine überzeugende Beschreibung deines Seiteninhalts...","keywords","Keywords (durch Komma getrennt)","keywordsPlaceholder","keyword1, keyword2, keyword3","authorSiteName","Autor / Website-Name","authorPlaceholder","Dein Name oder Firma","siteNameOg","Website-Name (OG)","siteNamePlaceholder","Meine Website","pageUrl","Seiten-URL","pageUrlPlaceholder","https://example.com/seite","imageUrl","Bild-URL (für Social Sharing)","imageUrlPlaceholder","https://example.com/bild.jpg",{"_8116":8117,"_8118":8119,"_8120":8121},"titleTooLong","Titel ist zu lang für optimales SEO","descriptionTooLong","Beschreibung ist zu lang für optimales SEO","generatedMetaTags","Generierte Meta-Tags",{"_8123":8124},"copyAll","Alles kopieren",{"_168":8126,"_8127":201,"_8128":8129,"_8130":8131,"_8132":8133,"_8134":8135,"_8136":203,"_8137":8138,"_8139":8140,"_8141":8142,"_8143":8144,"_8145":8146,"_8147":8148},"Meta-Tag Best Practices","titleTagTitle","titleTip1","Unter 60 Zeichen halten","titleTip2","Primäres Keyword am Anfang einschließen","titleTip3","Überzeugend und einzigartig gestalten","titleTip4","Markennamen am Ende einfügen","metaDescriptionTitle","descTip1","Unter 160 Zeichen halten","descTip2","Call-to-Action einschließen","descTip3","Seiteninhalt genau zusammenfassen","descTip4","Relevante Keywords natürlich einbinden","openGraphTitle","Open Graph Tags","openGraphDesc","Diese steuern, wie deine Seite beim Teilen in sozialen Medien erscheint. Füge immer ein Bild hinzu (empfohlen 1200x630px).","tools/minesweeper-game",{"_168":8151,"_202":8152,"_8153":8154,"_915":916,"_917":8160,"_921":922,"_8161":8162,"_594":8163,"_8164":8165,"_8166":914,"_926":8167,"_931":8170},"Minesweeper","Spielen Sie das klassische Minesweeper-Puzzle-Spiel - nutzen Sie Logik, um alle Minen zu finden!","difficulty",{"_8155":8156,"_5870":8157,"_8158":8159},"easy","Einfach","Mittel","hard","Schwer","Sie haben gewonnen!","mines","MINEN","ZEIT","yourTime","Ihre Zeit","bestTime",{"_928":8168,"_311":8169},"Klicken, um Felder aufzudecken. Rechtsklick, um Minen zu markieren.","Tippen, um Felder aufzudecken. Lange drücken, um Minen zu markieren.",{"_168":8171,"_202":8172,"_935":8173,"_937":8174,"_939":8175,"_941":8176,"_943":8177,"_8178":8179,"_8180":8181},"Über Minesweeper","Minesweeper ist ein klassisches Logik-Puzzle-Spiel. Das Ziel ist es, alle Felder aufzudecken, die keine Minen enthalten, indem Sie Zahlen verwenden, um zu deduzieren, wo die Minen versteckt sind.","Spielanleitung","Klicken Sie auf Felder, um sie aufzudecken","Zahlen zeigen, wie viele Minen an dieses Feld angrenzen","Rechtsklick (oder lange drücken auf mobil), um verdächtige Minen zu markieren","Decken Sie alle sicheren Felder auf, um zu gewinnen!","numbers","Zahlen Verstehen","numbersDesc","Jede Zahl zeigt Ihnen, wie viele der 8 umgebenden Felder Minen enthalten. Nutzen Sie diese Information, um zu deduzieren, welche Felder sicher sind und welche Minen enthalten.","tools/modular-arithmetic-calculator",{"_168":8184,"_202":8185,"_964":8186,"_3230":8198,"_57":8204,"_139":8216,"_1190":8220,"_931":8225},"Modulare Arithmetik Rechner","Berechne modulare Operationen einschließlich Addition, Potenzierung, Inverse und lineare Kongruenzen",{"_8021":3217,"_7294":8187,"_8188":8189,"_8190":7580,"_7592":8191,"_8192":8193,"_8194":8195,"_8196":8197},"a","bLabel","b","baseLabel","Exponent","coefficientLabel","a (Koeffizient)","constantLabel","b (Konstante)","modulusLabel","Modul (n)",{"_2134":8199,"_3239":8200,"_8035":8201,"_8202":8203},"Grundoperationen","Modulare Potenz","Modulare Inverse","congruence","Lineare Kongruenz",{"_8205":8206,"_8207":8208,"_8209":8201,"_8210":8211,"_8212":8203,"_2124":8213,"_8214":8215},"modResults","Ergebnisse (mod {{n}})","modularExponentiation","Modulare Potenzierung","modularInverse","noInverse","Keine Inverse existiert (ggT({{a}}, {{n}}) ≠ 1)","linearCongruence","Löse","noSolution","Keine Lösung existiert",{"_2134":8217,"_3239":8218,"_8035":8219},"Basis Mod 7","3^100 mod 7","3⁻¹ mod 11",{"_168":8221,"_8202":8222,"_8223":8224},"Eigenschaften","a ≡ b (mod n) ⟺ n | (a-b)","inverseExists","a⁻¹ existiert ⟺ ggT(a,n) = 1",{"_168":8226,"_202":8227,"_8049":8050,"_8051":8228,"_8053":8229,"_8055":8230,"_8057":8231,"_4727":4826,"_4729":8232,"_4731":8233,"_4733":8234},"Über den Modulare Arithmetik Rechner","Führe modulare Arithmetikoperationen durch, die in Kryptografie, Zahlentheorie und Informatik verwendet werden.","Grundoperationen: Addition, Subtraktion, Multiplikation mod n","Modulare Potenzierung mit schnellem Potenzierungsalgorithmus","Modulare Inverse mit erweitertem Euklidischem Algorithmus","Lösen linearer Kongruenzen (ax ≡ b mod n)","RSA und andere kryptografische Algorithmen","Hash-Funktionen und Prüfsummen","Uhrarithmetik und zyklische Muster","tools/molar-mass-calculator",{"_168":8237,"_202":8238,"_964":8239,"_30":31,"_8251":8252,"_57":8253,"_553":8262,"_1153":8267,"_384":8273,"_1007":8278,"_931":8280},"Molare Masse Rechner","Berechne molare Masse aus chemischen Formeln mit Elementaufschlüsselung und prozentualer Zusammensetzung",{"_8240":8241,"_8242":8243,"_8244":8245,"_1101":8246,"_1103":8247,"_8248":6381,"_8249":8250},"formulaLabel","Chemische Formel","formulaPlaceholder","z.B. H2O, NaCl, Ca(OH)2","formulaHint","Unterstützt Klammern: Ca(OH)2, Mg3(PO4)2","Masse (g)","Masse eingeben (optional)","molesLabel","molesPlaceholder","Stoffmenge eingeben (optional)","commonCompounds","Häufige Verbindungen",{"_8254":8255,"_8256":8257,"_8258":8259,"_8260":8261},"molarMassOf","Molare Masse von","elementBreakdown","Elementaufschlüsselung","percentComposition","Prozentuale Zusammensetzung","conversions","Umrechnungen",{"_8263":8264,"_7252":7253,"_8265":8266,"_2779":2780},"element","Element","atomicMass","Atommasse",{"_8268":8269,"_6369":8270,"_8271":8272},"grams","Gramm (g)","Mol (mol)","particles","Teilchen",{"_8274":8275,"_8276":8277},"enterFormula","Bitte gib eine chemische Formel ein","invalidFormula","Ungültige Formel oder unbekanntes Element",{"_1046":8279},"Gib eine chemische Formel ein, um die molare Masse zu berechnen",{"_168":8281,"_202":8282,"_8283":8284,"_6441":8285,"_6443":8286,"_6445":8287,"_8288":8289,"_6946":8290,"_139":8291},"Über den Molare Masse Rechner","Berechne die molare Masse jeder chemischen Verbindung. Gib die Molekülformel ein und optional eine Masse oder Stoffmenge für Umrechnungen.","formatTitle","Formel-Format","Gib eine chemische Formel in Standardnotation ein","Verwende Klammern für mehratomige Ionen: Ca(OH)2","Indizes werden als Zahlen geschrieben: H2O, C6H12O6","format4","Gib optional Masse oder Stoffmenge für Umrechnungen ein","Beispiele","H2O (Wasser), NaCl (Salz), C6H12O6 (Glucose), Ca(OH)2 (Calciumhydroxid), Mg3(PO4)2 (Magnesiumphosphat)","tools/molarity-calculator",{"_168":8294,"_202":8295,"_964":8296,"_2093":8307,"_2124":5767,"_57":8310,"_139":8312,"_1007":8318,"_1190":8320,"_931":8324},"Molarität-Rechner","Berechne Molarität, Stoffmenge, Volumen oder Masse für Lösungspräparation",{"_2095":5747,"_8297":8298,"_8299":8300,"_8248":8301,"_2217":6368,"_2219":6368,"_1101":8246,"_1103":8302,"_8303":8304,"_8305":8306},"molarityLabel","Molarität (M)","molarityPlaceholder","mol/L","Stoffmenge (mol)","Gramm","molarMassLabel","Molare Masse (g/mol)","molarMassPlaceholder","Optional - für Massenberechnungen",{"_8308":8298,"_6369":8301,"_6367":6375,"_2764":8246,"_8309":8304},"molarity","molarMass",{"_168":58,"_8308":8298,"_6369":8301,"_6367":8311,"_2764":8246,"_8309":8304},"Volumen (mL)",{"_8313":8314,"_2710":8315,"_8316":8317},"dilute","0,1M Lösung","1M Standard","nacl","1M NaCl",{"_1046":8319},"Gib die bekannten Werte ein, um das Ergebnis zu berechnen",{"_168":1192,"_8308":8321,"_6369":8322,"_2764":8323},"Molarität (M) = Stoffmenge / Volumen (L)","Stoffmenge = Molarität × Volumen (L)","Masse (g) = Stoffmenge × molare Masse (g/mol)",{"_168":8325,"_202":8326,"_1212":1213,"_1214":8327,"_1216":8328,"_1218":8329,"_1227":1228,"_947":8330,"_949":8331},"Über den Molarität-Rechner","Berechne Lösungskonzentration und bereite Lösungen mit präzisen Mengen gelöster Stoffe vor.","Molarität (M) ist Mol gelöster Stoff pro Liter Lösung","1 M = 1 mol/L = 1 mmol/mL","Gib die molare Masse ein, um zwischen Masse und Stoffmenge umzurechnen","Wechsle zur Bequemlichkeit zwischen mL und L","Füge molare Masse hinzu, wenn du Masse statt Stoffmenge kennst","tools/moment-of-inertia-calculator",{"_168":8334,"_202":8335,"_964":8336,"_1126":8337,"_8342":8343,"_57":8348,"_139":8354,"_1007":8360,"_1190":8362,"_931":8370},"Trägheitsmoment-Rechner","Berechne Rotationsträgheit für gängige Formen mit Unterstützung für den Steiner'schen Satz",{"_1099":1100,"_1101":1102,"_1105":1106,"_1109":1110,"_6740":2758},{"_1128":1129,"_1130":1131,"_1132":1133,"_8338":8339,"_8340":8341},"ring","Ring/Reifen","plate","Rechteckige Platte","parallelAxis",{"_168":8344,"_8345":8346,"_3699":8347},"Steiner'scher Satz","apply","Steiner'schen Satz anwenden","Abstand vom Massenschwerpunkt (m)",{"_8349":8350,"_8351":8352,"_1820":1150,"_1151":8353},"aboutCM","Um Massenschwerpunkt","withParallel","Mit Steiner'schem Satz","Form-Visualisierung",{"_8355":8356,"_8357":8358,"_1132":8359},"flywheel","Schwungrad","ball","Bowlingkugel","Meterstab",{"_1046":8361},"Gib gültige Werte ein, um das Trägheitsmoment zu berechnen",{"_168":8363,"_1128":8364,"_1130":8365,"_1132":8366,"_8338":8367,"_8340":8368,"_6849":8369},"Häufige Trägheitsmoment-Formeln","Volle Scheibe: I = (1/2)MR²","Volle Kugel: I = (2/5)MR²","Dünner Stab (Zentrum): I = (1/12)ML²","Ring/Reifen: I = MR²","Rechteckige Platte: I = (1/12)M(L² + W²)","Steiner'scher Satz: I = Icm + Md²",{"_168":8371,"_202":8372,"_1212":1213,"_1214":8373,"_1216":8374,"_1218":8375,"_4727":4826,"_4729":8376,"_4731":8377,"_4733":8378},"Über den Trägheitsmoment-Rechner","Das Trägheitsmoment (Rotationsträgheit) ist das Rotationsanalogon zur Masse. Es quantifiziert den Widerstand eines Objekts gegen Rotationsbeschleunigung um eine Achse.","Das Trägheitsmoment hängt von der Massenverteilung relativ zur Rotationsachse ab","Der Steiner'sche Satz ermöglicht die Berechnung für Achsen, die nicht durch den Massenschwerpunkt gehen","Einheiten sind kg·m² (Kilogramm Quadratmeter)","Schwungrad- und Rotor-Design","Sportausrüstung (Schläger, Golfschläger, Rackets)","Fahrzeugdynamik und -stabilität","tools/moon-phase-calculator",{"_168":8381,"_202":8382,"_139":8383,"_964":8389,"_8392":8393,"_8426":8427,"_931":8440},"Mondphasen-Rechner","Berechne die aktuelle Mondphase für jedes Datum",{"_8384":8385,"_3789":8386,"_8387":8388},"today","Heute","In 1 Woche","oneMonth","In 1 Monat",{"_8390":8391},"selectDate","Datum wählen","phases",{"_8394":8395,"_8396":8397,"_8398":8399,"_8400":8401,"_8402":8403,"_8404":8405,"_8406":8407,"_8408":8409,"_8410":8411,"_8412":8413,"_8414":8415,"_8416":8417,"_8418":8419,"_8420":8421,"_8422":8423,"_8424":8425},"newMoon","Neumond","newMoonDesc","Der Mond ist am Himmel nicht sichtbar. Perfekt zum Sternegucken.","waxingCrescent","Zunehmende Sichel","waxingCrescentDesc","Eine schmale Sichel des Mondes ist sichtbar und wächst.","firstQuarter","Erstes Viertel","firstQuarterDesc","Die Hälfte des Mondes ist beleuchtet und sichtbar.","waxingGibbous","Zunehmender Mond","waxingGibbousDesc","Mehr als die Hälfte des Mondes ist sichtbar und wächst.","fullMoon","Vollmond","fullMoonDesc","Die gesamte Mondoberfläche ist beleuchtet. Hell und wunderschön!","waningGibbous","Abnehmender Mond","waningGibbousDesc","Mehr als die Hälfte des Mondes ist sichtbar, aber wird kleiner.","lastQuarter","Letztes Viertel","lastQuarterDesc","Die Hälfte des Mondes ist auf der gegenüberliegenden Seite zum ersten Viertel beleuchtet.","waningCrescent","Abnehmende Sichel","waningCrescentDesc","Eine schmale Sichel des Mondes ist sichtbar und wird kleiner.","display",{"_8428":8429,"_8430":8431,"_8432":8433,"_8434":8435,"_8384":8385,"_8436":8437,"_8438":8439},"illumination","Beleuchtung","lunarDay","Mondtag","lunarDayValue","{{age}} / 29,5","upcomingPhases","Kommende Phasen","inDays","in {{count}} Tag","inDays_other","in {{count}} Tagen",{"_168":8441,"_202":8442,"_8443":8444,"_8445":8446,"_8447":8448,"_8449":8450,"_8451":8452,"_8453":8454,"_8455":8456,"_8457":8458,"_8459":8460,"_7673":8461,"_8462":8463,"_8464":8465,"_8466":8467,"_8468":8469},"Mondphasen verstehen","Der Mond durchläuft acht verschiedene Phasen, während er die Erde umkreist. Ein vollständiger Zyklus dauert 29,5 Tage (ein Mondmonat). Diese Phasen entstehen durch die wechselnden Positionen von Erde, Mond und Sonne.","eightPhasesTitle","Die acht Mondphasen","phase1","Neumond 🌑: Der Mond steht zwischen Erde und Sonne. Nicht sichtbar.","phase2","Zunehmende Sichel 🌒: Eine schmale Sichel erscheint und wächst.","phase3","Erstes Viertel 🌓: Die Hälfte des Mondes ist beleuchtet (rechte Seite).","phase4","Zunehmender Mond 🌔: Mehr als die Hälfte ist beleuchtet und wächst.","phase5","Vollmond 🌕: Die gesamte Oberfläche ist beleuchtet und sichtbar.","phase6","Abnehmender Mond 🌖: Mehr als die Hälfte ist beleuchtet, aber wird kleiner.","phase7","Letztes Viertel 🌗: Die Hälfte des Mondes ist beleuchtet (linke Seite).","phase8","Abnehmende Sichel 🌘: Eine schmale Sichel bleibt und wird kleiner.","Interessante Fakten","fact1","Ein Mondzyklus dauert etwa 29,53 Tage","fact2","Vollmonde treten etwa alle 29,5 Tage auf","fact3","Der Mond zeigt der Erde immer dieselbe Seite (gebundene Rotation)","fact4","Mondphasen beeinflussen die Gezeiten - am stärksten bei Voll- und Neumond","tools/mortgage-calculator",{"_168":8472,"_202":8473,"_964":8474,"_57":8507,"_931":8521,"_139":8540,"_1007":8547},"Hypothekenrechner","Berechne deine monatliche Hypothekenrate inklusive Steuern, Versicherung, PMI und Hausgeld",{"_8475":8476,"_8477":8478,"_8479":8480,"_8481":8482,"_2520":8483,"_8484":8485,"_8486":8487,"_8488":8489,"_2518":8490,"_3419":3420,"_8491":8492,"_8493":8494,"_8495":8496,"_8497":8498,"_8499":8500,"_8501":8502,"_8503":8504,"_8505":8506},"homePrice","Kaufpreis ($)","homePricePlaceholder","Kaufpreis eingeben","downPayment","Anzahlung ($)","downPaymentPlaceholder","Anzahlung eingeben","Laufzeit (Jahre)","term15","15 Jahre","term20","20 Jahre","term30","30 Jahre","Zinssatz (%)","propertyTax","Grundsteuer ($/Jahr)","propertyTaxPlaceholder","Jährliche Grundsteuer","homeInsurance","Gebäudeversicherung ($/Jahr)","homeInsurancePlaceholder","Jährliche Versicherung","pmi","PMI ($/Monat) - Optional","pmiPlaceholder","Monatliche PMI","hoa","Hausgeld ($/Monat) - Optional","hoaPlaceholder","Monatliches Hausgeld",{"_8508":8509,"_8510":8511,"_8512":8513,"_8491":8514,"_8495":8515,"_8516":8517,"_2514":8518,"_2529":8519,"_2537":8520},"totalMonthly","Monatliche Gesamtrate","downInfo","Anzahlung: {{amount}} ({{percent}})","principalInterest","Tilgung & Zinsen","Grundsteuer","Gebäudeversicherung","hoaFees","Hausgeld","Darlehenssumme","Zinsen gesamt","Gesamtkosten",{"_168":8522,"_202":8523,"_8524":8525,"_8512":8526,"_8527":8528,"_8491":8529,"_8530":8531,"_8495":8532,"_8533":8534,"_8535":8536,"_8516":8537,"_8538":8539},"So verwendest du den Hypothekenrechner","Gib Kaufpreis, Anzahlung und Kreditdetails ein, um deine geschätzte monatliche Hypothekenrate zu berechnen. Füge Grundsteuer, Versicherung, PMI und Hausgeld hinzu für ein vollständiges Bild.","understandingTitle","Deine Rate verstehen","Tilgung & Zinsen:","principalInterestDesc","Deine Hauptkreditrate","Grundsteuer:","propertyTaxDesc","Jährliche Steuern geteilt durch 12 Monate","Gebäudeversicherung:","homeInsuranceDesc","Jährliche Prämie geteilt durch 12 Monate","pmiDesc","Erforderlich bei Anzahlung unter 20%","Hausgeld:","hoaFeesDesc","Monatliche Beiträge für Hausverwaltung",{"_8541":8542,"_8543":8544,"_8545":8546},"home300k","$300K Home","home500k","$500K Home","year15","15-Year",{"_452":8548},"Enter loan details to calculate mortgage","tools/multiplication-table-generator",{"_168":8551,"_202":8552,"_139":8553,"_964":8560,"_8563":8564,"_8565":8566,"_8567":8568,"_8569":8570,"_931":8571},"Einmaleins-Generator","Erstelle und drucke Einmaleins-Tabellen",{"_8554":8555,"_8556":8557,"_8558":8559},"5times","5er-Reihe","classic12","Klassisches 12×12","7upto20","7er-Reihe bis 20",{"_7022":3108,"_8561":8562},"upTo","Bis","printTable","Tabelle drucken","tableTitle","Einmaleins für {{number}}","tableSubtitle","Reihe von 1 bis {{max}}","gridTitle","{{number}} × {{number}} Einmaleins-Tabelle",{"_168":8572,"_1227":8573,"_947":8574,"_949":8575,"_951":8576,"_1419":8577,"_3460":8578,"_8579":8580,"_8581":8582,"_8583":8584,"_8585":8586,"_8587":8588,"_8589":8590,"_8591":8592,"_8593":8594,"_8595":8596,"_8597":8598,"_8599":8600,"_8601":8602,"_8603":8604,"_8605":8606,"_8607":8608,"_8609":8610},"Das Einmaleins lernen","Lerntipps","Beginne mit kleineren Zahlen (1-5), bevor du zu größeren übergehst","Übe regelmäßig - auch 5-10 Minuten täglich helfen","Achte auf Muster (z.B. alle Vielfachen von 5 enden auf 0 oder 5)","Nutze Zählen in Schritten (2, 4, 6, 8... für die 2er-Reihe)","Meistere zuerst die einfachen Reihen (2, 5, 10)","tricksTitle","Einmaleins-Tricks","trick2Label","×2:","trick2Text","Verdopple einfach die Zahl","trick5Label","×5:","trick5Text","Mal 10 rechnen, dann durch 2 teilen","trick9Label","×9:","trick9Text","Die Ziffern im Ergebnis ergeben immer 9 (bis 10×9)","trick10Label","×10:","trick10Text","Hänge einfach eine Null an","trick11Label","×11:","trick11Text","Bei einstelligen Zahlen wiederhole die Ziffer (7×11=77)","whyTitle","Warum das Einmaleins lernen?","why1","Wichtige Grundlage für Division, Brüche und Algebra","why2","Beschleunigt alltägliche Berechnungen (Einkaufen, Kochen usw.)","why3","Entwickelt Zahlengefühl und mathematisches Selbstvertrauen","why4","Erforderlich für fortgeschrittene Mathematik und Naturwissenschaften","tools/name-generator",{"_168":8613,"_202":8614,"_139":8615,"_964":8622,"_8629":8630,"_8642":8643,"_968":8646,"_57":8649,"_931":8653},"Namensgenerator","Generiere zufällige Namen für jeden Zweck",{"_8616":8617,"_8618":8619,"_8620":8621},"fullNames","Vollständige Namen","fantasyNames","Fantasy-Namen","businessNames","Firmennamen",{"_8623":8624,"_1954":1955,"_8625":8626,"_8627":8628},"nameType","Namenstyp","numberOfNames","Anzahl Namen","numberOfNamesHelper","Generiere 1-50 Namen auf einmal","nameTypes",{"_8631":8632,"_8633":8634,"_8635":8636,"_8637":8638,"_8639":8640,"_8641":1597},"fullName","Vollständiger Name (Vor- + Nachname)","firstNameOnly","Nur Vorname","lastNameOnly","Nur Nachname","username","Benutzername","fantasyName","Fantasy-Name","businessName","genders",{"_8644":8645,"_1923":1924,"_1925":1926},"any","Beliebig",{"_8647":8648},"generateNames","Namen generieren",{"_8650":8651,"_1037":8652},"generatedNames","Generierte Namen","Klicke zum Kopieren",{"_168":8654,"_1475":8655,"_8616":8656,"_8657":8658,"_8659":8660,"_8661":8662,"_8618":8663,"_8620":8664,"_4175":8665,"_4177":8666,"_4179":8667,"_4181":8668,"_4183":8669,"_8670":8671,"_8672":8673},"Namensgenerator-Typen","Verfügbare Namenstypen","Vollständige Namen: Realistische Vor- und Nachnamen-Kombinationen. Perfekt für Charakterentwicklung, Tests oder Platzhalterdaten.","firstNames","Vornamen: Generiere nur Vornamen mit Geschlechtsoptionen. Super für Namensinspiration oder Charaktervornamen.","lastNames","Nachnamen: Gängige Nachnamen verschiedener Herkünfte. Nützlich zum Vervollständigen von Charakternamen oder für Tests.","usernames","Benutzernamen: Kreative Benutzernamen-Kombinationen mit Adjektiven, Nomen und Zahlen. Perfekt für Gaming oder Social Media.","Fantasy-Namen: Mystische und magische Namen für Fantasy-Charaktere, Welten oder Rollenspiele.","Firmennamen: Professionell klingende Unternehmensnamen. 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Lauf 1","Paarlauf - Kurzprogramm","GS Einzel Frauen - Endrunde","Freeski Big Air Männer Quali. Lauf 2","Freeski Big Air Männer Quali. Lauf 3","Großschanze Offizielles Training 3","Round Robin Frauen Session 7","Zweierbob Männer Lauf 1","Slalom Männer Lauf 1","SBD Slopestyle Frauen Quali. Lauf 1","1000m Frauen Viertelfinale","500m Männer Vorläufe","SBD Slopestyle Frauen Qual Lauf 2","Zweierbob Männer Lauf 2","1000m Frauen Halbfinale","5000m Staffel Männer Halbfinale","1000m Frauen Finale B","1000m Frauen Finale A","Slalom Männer Lauf 2","SBD Slopestyle Männer Qual Lauf 1","Round Robin Männer Session 8","SBD Slopestyle Männer Qual Lauf 2","Playoffs Frauen Halbfinale","Super Team Männer - Proberunde","Monobob Frauen Lauf 3","Super Team Männer - 1. Runde","Round Robin Frauen Session 8","Freeski Big Air Frauen Finale Lauf 1","Super Team Männer - 2. Runde","Freeski Big Air Frauen Finale Lauf 2","Paarlauf - Kür","Freeski Big Air Frauen Finale 3","Super Team Männer - Endrunde","Monobob Frauen Lauf 4","Round Robin Männer Session 9","Einz. Gund. GS/10km, Skispringen Prober.","Einz. Gund. GS/10km, Skispringen Wettk.","Aerials Frauen Qualifikation 1","Aerials Frauen Qualifikation 2","Playoffs Männer Qualifikation","SBD Slopestyle Frauen Finale Lauf 1","SBD Slopestyle Frauen Finale Lauf 2","Aerials Männer Qualifikation 1","Einz. Gund. GS/10km, Skilanglauf","SBD Slopestyle Frauen Finale Lauf 3","Zweierbob Frauen Off. Training Lauf 1","Round Robin Frauen Session 9","Aerials Männer Qualifikation 2","Mannschaftsverfolgung Männer HF","Mannschaftsverfolgung Frauen HF","Zweierbob Frauen Off. Training Lauf 2","Mannschaftsverfolgung Männer Finale D","Mannschaftsverfolgung Männer Finale C","Mannschaftsverfolgung Frauen Finale D","Mannschaftsverfolgung Frauen Finale C","Mannschaftsverfolgung Männer Finale B","Mannschaftsverfolgung Männer Finale A","Mannschaftsverfolgung Frauen Finale B","Mannschaftsverfolgung Frauen Finale A","Einzellauf Frauen - Kurzprogramm","Zweierbob Männer Lauf 3","Round Robin Männer Session 10","Freeski Big Air Männer Finale Lauf 1","Freeski Big Air Männer Finale Lauf 2","Freeski Big Air Männer Finale Lauf 3","Zweierbob Männer Lauf 4","Großschanze Off. Training 4","Round Robin Frauen Session 10","Team Sprint Freistil Frauen Quali.","Viererbob Männer Off. Training Lauf 1","Slalom Frauen Lauf 1","Team Sprint Freistil Männer Quali.","Viererbob Männer Off. Training Lauf 2","Aerials Frauen Finale 1","Team Sprint Freistil Frauen Finale","Playoffs Männer Viertelfinale","Team Sprint Freistil Männer Finale","Aerials Frauen Finale 2","SBD Slopestyle Männer Finale Lauf 1","SBD Slopestyle Männer Finale Lauf 2","SBD Slopestyle Männer Finale Lauf 3","Slalom Frauen Lauf 2","Zweierbob Frauen Off. Training Lauf 3","Round Robin Männer Session 11","Zweierbob Frauen Off. Training Lauf 4","Round Robin Frauen Session 11","500m Männer Viertelfinale","500m Männer Halbfinale","3000m Staffel Frauen Finale B","3000m Staffel Frauen Finale A","500m Männer Finale B","500m Männer Finale A","Round Robin Männer Session 12","Teamsprint, Skispringen Proberunde","Sprint Frauen Vorläufe","Viererbob Männer Off. Training Lauf 3","Teamsprint, Skispringen Wettkampfrunde","Freeski HP Männer Qualifikation Lauf 1","Sprint Männer Vorläufe","Viererbob Männer Off. Training Lauf 4","Freeski HP Männer Qualifikation Lauf 2","Aerials Männer Finale 1","Aerials Männer Finale 2","Sprint Frauen Halbfinale","Sprint Männer Halbfinale","Sprint Frauen Finale","Zweierbob Frauen Off. Training Lauf 5","Teamsprint, Skilanglauf","Round Robin Frauen Session 12","Sprint Männer Finale","Frauen Spiel um Platz 3","Zweierbob Frauen Off. Training Lauf 6","Einzellauf Frauen - Kür","Männer Halbfinale","Frauen Finale","Freeski Halfpipe Frauen Quali. Lauf 1","Freeski Halfpipe Frauen Quali. Lauf 2","Viererbob Männer Off. Training Lauf 5","Ski Cross Frauen Setzliste","Viererbob Männer Off. Training Lauf 6","Ski Cross Frauen Achtelfinale","Ski Cross Frauen Viertelfinale","Ski Cross Frauen Halbfinale","Ski Cross Frauen Kleines Finale","Ski Cross Frauen Großes Finale","Frauen Halbfinale","Playoffs Männer Halbfinale","Zweierbob Frauen Lauf 1","Männer Spiel um Platz 3","Freeski Halfpipe Männer Finale Lauf 1","Zweierbob Frauen Lauf 2","Freeski Halfpipe Männer Finale Lauf 2","1500m Frauen Viertelfinale","Freeski Halfpipe Männer Finale Lauf 3","1500m Frauen Halbfinale","5000m Staffel Männer Finale B","5000m Staffel Männer Finale A","1500m Frauen Finale B","1500m Frauen Finale A","Viererbob Männer Lauf 1","Ski Cross Männer Setzliste","Mixed Team Aerials Finale 1","Mixed Team Aerials Finale 2","Viererbob Männer Lauf 2","Ski Cross Männer Achtelfinale","Ski Cross Männer Viertelfinale","Ski Cross Männer Halbfinale","Ski Cross Männer Kleines Finale","Ski Cross Männer Großes Finale","Massenstart Männer Halbfinale","Massenstart Frauen Halbfinale","Massenstart Männer Finale","Massenstart Frauen Finale","Zweierbob Frauen Lauf 3","Männer Finale","Freeski Halfpipe Frauen Finale Lauf 1","Freeski Halfpipe Frauen Finale Lauf 2","Freeski Halfpipe Frauen Finale Lauf 3","Zweierbob Frauen Lauf 4","Viererbob Männer Lauf 3","Viererbob Männer Lauf 4","tools/open-graph-preview",{"_168":10316,"_202":10317,"_139":10318,"_964":10322,"_450":10335,"_968":10342,"_10345":10346,"_931":10347},"Open Graph Vorschau","Sieh dir an, wie deine Seite in sozialen Medien aussieht",{"_7210":10319,"_10320":10321},"Blog-Artikel","productPage","Produktseite",{"_8088":10323,"_8090":10324,"_10325":10326,"_202":1715,"_1633":10327,"_10328":10329,"_8111":10330,"_8113":8114,"_10331":10332,"_8107":8108,"_8109":8110,"_10333":10334,"_8105":8106},"Seitentitel","Dein Seitentitel","pageTitleHelper","{{count}}/95 Zeichen (empfohlenes Maximum)","Eine überzeugende Beschreibung deiner Seite...","descriptionHelper","{{count}}/300 Zeichen","Bild-URL","imageUrlHelper","Empfohlen: 1200x630 Pixel","siteName","Website-Name",{"_10336":10337,"_10338":10339,"_8088":10323,"_10340":10341},"facebookLinkedin","📘 Facebook / LinkedIn Vorschau","twitterX","𝕏 Twitter/X Vorschau","pageDescription","Seitenbeschreibung erscheint hier...",{"_10343":10344},"copyTags","Tags kopieren","metaTags",{"_168":8121},{"_168":10348,"_10349":10350,"_10351":10352,"_10353":10354,"_10355":10356,"_10357":10358,"_10359":10360,"_10361":10362,"_10363":10364,"_10365":10366,"_10367":10368,"_10369":10370,"_10371":10372,"_10373":10374,"_10375":10376},"Open Graph Best Practices","imageGuidelinesTitle","Bild-Richtlinien","imageSize","Größe: 1200x630 Pixel (1,91:1 Verhältnis)","imageFormat","Format: JPG, PNG oder WebP","imageFileSize","Dateigröße: Unter 8MB","imageContent","Wichtige Inhalte in der Mitte platzieren (Zuschnitt variiert)","titleDescriptionTitle","Titel & Beschreibung","titleLength","Titel: 40-60 Zeichen ideal, max. 95","descriptionLength","Beschreibung: 100-200 Zeichen ideal, max. 300","includeKeywords","Keywords natürlich einbinden","compelling","Überzeugend und handlungsorientiert gestalten","testingTipsTitle","Test-Tipps","facebookDebugger","Nutze Facebooks Sharing Debugger zur Validierung","twitterValidator","Twitter Card Validator für Twitter-Vorschau","clearCache","Cache nach Tag-Updates leeren","tools/osmotic-pressure-calculator",{"_168":10379,"_202":10380,"_964":10381,"_57":10391,"_1153":10396,"_4158":10404,"_139":10421,"_1007":10428,"_1190":10430,"_931":10445},"Osmotischer Druck Rechner","Berechne osmotischen Druck mit der van't Hoff-Gleichung für Lösungen",{"_10382":10383,"_10384":10385,"_10386":10387,"_10388":10389,"_8297":8298,"_10390":8300,"_4858":6371},"soluteLabel","Häufige gelöste Stoffe","customSolute","Eigener van't Hoff-Faktor","vanHoffLabel","van't Hoff-Faktor (i)","vanHoffHint","Anzahl der Teilchen pro Formeleinheit","molarityHint",{"_168":10392,"_10393":10394,"_8308":10395,"_6370":6371},"Osmotischer Druck","vanHoff","van't Hoff-Faktor","Molarität",{"_10397":10398,"_10399":6377,"_10400":10401,"_10402":10403},"atm","Druck (atm)","kPa","mmHg","Druck (mmHg)","pa","Druck (Pa)",{"_168":10405,"_10406":10407,"_10408":10409,"_8747":10410,"_10411":10412,"_10413":10414,"_10415":10416,"_10417":10418,"_10419":10420},"van't Hoff-Faktor Referenz","nonElectrolytes","Nicht-Elektrolyte","nonElectrolytesExamples","Glucose, Saccharose, Harnstoff","Binäre Elektrolyte","binaryExamples","NaCl, KCl, HCl","ternary","Ternäre Elektrolyte","ternaryExamples","CaCl₂, Na₂SO₄, MgCl₂","quaternary","Quaternäre Elektrolyte","quaternaryExamples","AlCl₃, FeCl₃",{"_10422":10423,"_10424":10425,"_10426":10427},"saline","Kochsalzlösung (0,9%)","glucose","5% Glucose","cacl2","CaCl₂-Lösung",{"_1046":10429},"Gib Werte ein, um osmotischen Druck zu berechnen",{"_168":10431,"_10432":10433,"_10434":10435,"_5801":5802,"_10436":10437,"_10438":10439,"_3765":10440,"_10441":10442,"_10443":10444},"van't Hoff-Gleichung","vantHoff","π = iMRT","gasConstant","R = 0,08206 L·atm/(mol·K)","pi","π = osmotischer Druck","i","i = van't Hoff-Faktor (Ionisierungsfaktor)","M = Molarität (mol/L)","r","R = Gaskonstante","t","T = Temperatur (K)",{"_168":10446,"_202":10447,"_4727":4826,"_4729":10448,"_4731":10449,"_4733":10450,"_1212":1213,"_1214":10451,"_1216":10452},"Über den Osmotischer Druck Rechner","Osmotischer Druck ist der Druck, der erforderlich ist, um Osmose durch eine semipermeable Membran zu verhindern. Er hängt von der Konzentration der gelösten Teilchen und der Temperatur ab.","Bestimmung der molaren Masse unbekannter Verbindungen","Berechnung von Infusionslösungs-Konzentrationen in der Medizin","Wasserreinigung durch Umkehrosmose","Der van't Hoff-Faktor (i) berücksichtigt die Dissoziation von Elektrolyten","Ideales Verhalten wird angenommen - reale Lösungen können bei hohen Konzentrationen abweichen","tools/palette-generator",{"_168":10455,"_202":10456,"_139":10457,"_1577":10463,"_964":10470,"_10477":10478,"_968":10491,"_8426":10500,"_931":10505},"Farbpaletten-Generator","Generiere harmonische Farbpaletten",{"_10458":5692,"_10459":10460,"_10461":10462},"oceanBlues","sunset","Sonnenuntergang","vibrant","Lebendig",{"_10464":10465,"_10466":10467,"_10468":10469},"generateFromBase","Aus Grundfarbe generieren","extractFromImage","Aus Bild extrahieren","generatedPalette","Generierte Palette",{"_10471":10472,"_10473":10474,"_10475":10476},"baseColor","Grundfarbe","baseColorPlaceholder","#3B82F6","harmonyType","Harmonietyp","harmonyTypes",{"_10479":10480,"_10481":10482,"_10483":10484,"_10485":10486,"_10487":10488,"_10489":10490},"monochromatic","Monochromatisch","analogous","Analog","complementary","Komplementär","triadic","Triadisch","tetradic","Tetradisch","splitComplementary","Geteilt-Komplementär",{"_10492":10493,"_6414":6415,"_10494":10495,"_10496":10497,"_10498":10499},"generateHarmony","Harmonie generieren","copyHex","HEX kopieren","copyRgb","RGB kopieren","copyHsl","HSL kopieren",{"_10501":10502,"_3203":10503,"_3205":10504},"clickToCopyHex","Klicke zum Kopieren des HEX-Codes","RGB: {{r}}, {{g}}, {{b}}","HSL: {{h}}°, {{s}}%, {{l}}%",{"_168":10506,"_8524":10507,"_10479":10508,"_10481":10509,"_10483":10510,"_10485":10511,"_10487":10512,"_10489":10513,"_1227":1228,"_947":10514,"_949":10515,"_951":10516,"_1419":10517},"Farbharmonie-Typen","Farbharmonien verstehen","Monochromatisch: Verwendet Variationen in Helligkeit und Sättigung einer einzigen Farbe. Erzeugt einen stimmigen, eleganten Look.","Analog: Verwendet benachbarte Farben auf dem Farbkreis (innerhalb 30°). Erzeugt ein ruhiges und angenehmes Design.","Komplementär: Verwendet gegenüberliegende Farben auf dem Farbkreis (180° auseinander). Erzeugt hohen Kontrast und lebendige Looks.","Triadisch: Verwendet drei gleichmäßig auf dem Farbkreis verteilte Farben (120° auseinander). Erzeugt lebendige, ausgewogene Designs.","Tetradisch: Verwendet vier Farben in zwei komplementären Paaren. Bietet viel Abwechslung bei gleichzeitiger Balance.","Geteilt-Komplementär: Verwendet eine Grundfarbe und zwei Farben neben ihrer Komplementärfarbe. Bietet Kontrast, ist aber subtiler als komplementär.","Beginne mit einer Grundfarbe, die deine Marke oder Design-Stimmung repräsentiert","Nutze monochromatische Schemata für minimalistische, professionelle Designs","Nutze Komplementärfarben, um Elemente hervorzuheben","Extrahiere Farben aus Inspirationsbildern, um Konsistenz zu wahren","tools/partial-fractions-calculator",{"_168":10520,"_202":10521,"_964":10522,"_113":10530,"_57":10533,"_1007":10548,"_1190":10550,"_931":10557},"Partialbruchzerlegung-Rechner","Zerlege rationale Funktionen in Partialbrüche für die Integration",{"_10523":10524,"_5345":10525,"_10526":10527,"_10528":10529},"numeratorLabel","Zähler-Koeffizienten","z.B. 1, 0 für x","numeratorHint","Gib Koeffizienten von höchster zu niedrigster Potenz ein (durch Komma getrennt)","factorsLabel","Nenner-Faktoren (ax + b)^n",{"_10531":10532,"_28":29},"addFactor","Faktor hinzufügen",{"_1380":10534,"_10535":10536,"_10537":10538,"_10539":10540,"_10541":10542,"_10543":10544,"_10545":4372,"_10546":10547},"Ursprünglicher Ausdruck","decomposition","Partialbruchzerlegung","graph","Funktionsgraph","curve","Funktion","asymptotes","Asymptoten","verification","Überprüfung","originalValue","decomposedValue","Zerlegt",{"_1046":10549},"Gib Zähler und Nenner-Faktoren ein, um zu zerlegen",{"_168":10536,"_10551":10552,"_10553":10554,"_10555":10556},"distinct","P(x)/[(x-a)(x-b)] = A/(x-a) + B/(x-b)","repeated","P(x)/(x-a)² = A/(x-a) + B/(x-a)²","coverup","Nutze die Abdeckungsmethode: A = P(a)/Q'(a)",{"_168":10558,"_202":10559,"_4727":4826,"_4729":10560,"_4731":10561,"_4733":10562},"Über den Partialbruchzerlegung-Rechner","Partialbruchzerlegung zerlegt komplexe rationale Funktionen in einfachere Brüche, die leichter integriert oder analysiert werden können.","Integration rationaler Funktionen","Inverse Laplace-Transformationen","Lösen von Differentialgleichungen","tools/password-generator",{"_168":10565,"_202":10566,"_139":10567,"_964":10573,"_968":10581,"_384":10583,"_931":10586},"Passwort-Generator","Generiere sichere Zufallspasswörter",{"_3605":10568,"_10569":10570,"_10571":10572},"Starkes Passwort","pin","PIN-Code","simple","Einfaches Passwort",{"_2757":10574,"_10575":10576,"_10577":10578,"_8178":10579,"_4953":10580},"Passwortlänge: {{length}}","uppercase","Großbuchstaben einschließen (A-Z)","lowercase","Kleinbuchstaben einschließen (a-z)","Zahlen einschließen (0-9)","Symbole einschließen (!@#$%...)",{"_34":10582},"Passwort generieren",{"_10584":10585},"noCharType","Bitte wähle mindestens einen Zeichentyp aus",{"_168":10587,"_947":10588,"_949":10589,"_951":10590,"_1419":10591},"Passwort-Sicherheitstipps","Nutze mindestens 12-16 Zeichen für starke Sicherheit","Füge eine Mischung aus Groß-, Kleinbuchstaben, Zahlen und Symbolen ein","Verwende niemals dasselbe Passwort für verschiedene Konten","Nutze einen Passwort-Manager, um Passwörter sicher zu speichern","tools/password-strength-checker",{"_168":10594,"_202":10595,"_139":10596,"_964":10601,"_10610":10611,"_57":10622,"_10642":10643,"_931":10664},"Passwortstärke-Prüfer","Prüfe Passwortstärke und erhalte Sicherheitsempfehlungen",{"_3591":10597,"_10598":10599,"_3605":10568,"_3652":10600},"Schwaches Passwort","fair","Mäßiges Passwort","Sehr stark (Passphrase)",{"_10602":10603,"_2823":10604,"_10605":10606,"_10607":10608,"_5137":10609},"passwordLabel","Passwort zum Testen eingeben","Gib dein Passwort ein...","show","Zeigen","hide","Verbergen","Dein Passwort wird niemals an einen Server gesendet - alle Prüfungen finden in deinem Browser statt","crackTime",{"_10612":10613,"_10614":10615,"_10616":10617,"_10618":10619,"_10620":10621},"instantly","Sofort","minutesToHours","Minuten bis Stunden","hoursToDays","Stunden bis Tage","monthsToYears","Monate bis Jahre","centuries","Jahrhunderte",{"_10623":10624,"_10610":10625,"_10626":10627,"_10628":10629,"_10630":10631,"_10632":10633,"_10634":10635,"_10636":10637,"_10638":10639,"_10640":10641},"strengthScore","Stärke-Bewertung","Geschätzte Knackzeit:","requirements","Anforderungen","req12chars","12+ Zeichen","reqLowercase","Kleinbuchstaben (a-z)","reqUppercase","Großbuchstaben (A-Z)","reqNumbers","Zahlen (0-9)","reqSpecial","Sonderzeichen (!@#$)","reqNotCommon","Nicht gängig","recommendations","Empfehlungen","feedback",{"_10644":10645,"_10646":10647,"_10648":10649,"_10650":10651,"_10652":10653,"_10654":10655,"_10656":10657,"_10658":10659,"_10660":10661,"_10662":10663},"tooShort","Passwort sollte mindestens 8 Zeichen haben (12+ empfohlen)","goodLength","Gute Länge, aber 12+ Zeichen sind sicherer","addLowercase","Füge Kleinbuchstaben hinzu (a-z)","addUppercase","Füge Großbuchstaben hinzu (A-Z)","addNumbers","Füge Zahlen hinzu (0-9)","addSpecial","Füge Sonderzeichen hinzu (!@#$%^&*)","commonPattern","Dieses Passwort enthält gängige Muster - leicht zu erraten","sequential","Vermeide aufeinanderfolgende Zeichen (abc, 123, qwertz)","repeating","Vermeide sich wiederholende Zeichen (aaa, 111)","excellent","Exzellentes Passwort! Halte es sicher und einzigartig.",{"_168":10665,"_7269":10666,"_10667":10668,"_10669":10670,"_10671":10672,"_10673":10674,"_10675":10676,"_10677":10678,"_10679":10680,"_10681":10682,"_10683":10684,"_10685":10686,"_10687":10688,"_10689":10690,"_10691":10692,"_10693":10694,"_10695":10696,"_10697":10698,"_10699":10700,"_10701":10702,"_10703":10704,"_10705":10706,"_10707":10708,"_10709":10710,"_10711":10712,"_10713":10714},"Wie man starke Passwörter erstellt","Passwort Best Practices","practice1Label","Länge ist am wichtigsten:","practice1Text","Ziele auf 12+ Zeichen ab (16+ ist noch besser)","practice2Label","Nutze Vielfalt:","practice2Text","Mische Groß-, Kleinbuchstaben, Zahlen und Symbole","practice3Label","Vermeide gängige Wörter:","practice3Text","Nutze keine Wörter aus dem Wörterbuch, Namen oder Daten","practice4Label","Keine Muster:","practice4Text","Vermeide Tastaturmuster (qwertz) oder Sequenzen (abc123)","practice5Label","Einzigartig pro Konto:","practice5Text","Verwende niemals Passwörter für mehrere Websites wieder","practice6Label","Nutze einen Passwort-Manager:","practice6Text","Lass ihn komplexe Passwörter generieren und speichern","passphraseTitle","Passphrasen-Strategie","passphraseIntro","Erwäge die Nutzung einer Passphrase - mehrere zufällige Wörter zusammengefügt:","passphraseExample","Beispiel: \"korrekt-pferd-batterie-klammer-2024\"","passphraseTip1","Einfacher zu merken als zufällige Zeichen","passphraseTip2","Trotzdem sehr sicher aufgrund der Länge","passphraseTip3","Füge Zahlen und Symbole für extra Stärke hinzu","avoidTitle","Was zu vermeiden ist","avoid1","Persönliche Informationen (Name, Geburtstag, Telefonnummer)","avoid2","Gängige Ersetzungen (P@ssw0rt, L3tm31n)","avoid3","Einfache Muster oder Tastaturwege","avoid4","Kurze Passwörter unter 8 Zeichen","avoid5","Überall dasselbe Passwort verwenden","tools/pay-stub-generator",{"_168":10717,"_202":10718,"_139":10719,"_1577":10729,"_964":10745,"_968":10792,"_10798":10799,"_931":10821},"Gehaltsabrechnung-Generator","Generiere professionelle Gehaltsabrechnungen",{"_10720":10721,"_10722":10723,"_10724":2368,"_5396":10725,"_10726":6971,"_10727":10728},"hourlyEmployee","Stundenarbeiter","hourlyEmployeeCompany","Muster GmbH","hourlyEmployeeEmployee","Vollzeit","fullTimeCompany","fullTimeEmployee","Anna Schmidt",{"_10730":10731,"_10732":10733,"_10734":10735,"_10736":10737,"_10738":10739,"_10740":10741,"_10742":10743,"_10744":4047},"companyInformation","Firmeninformationen","employeeInformation","Mitarbeiterinformationen","payPeriod","Abrechnungszeitraum","earnings","Verdienste","deductions","Abzüge","yearToDateTotals","Jahreswerte bis heute","employee","Mitarbeiter:in","yearToDate",{"_7001":1597,"_10746":10723,"_10747":10748,"_10749":10750,"_10751":10752,"_10753":2368,"_10754":10755,"_10756":10757,"_10758":10759,"_10760":10761,"_10762":10763,"_10764":10765,"_10766":10767,"_5420":10768,"_10769":10770,"_10771":10772,"_10773":10774,"_10775":10776,"_10777":10778,"_10779":10780,"_10781":10782,"_10783":3933,"_10784":10785,"_10786":10787,"_10788":10789,"_10790":10791},"companyNamePlaceholder","companyAddress","Firmenadresse","companyAddressPlaceholder","Musterstraße 123, 12345 Musterstadt","employeeName","Name Mitarbeiter:in","employeeNamePlaceholder","employeeAddress","Adresse Mitarbeiter:in","employeeAddressPlaceholder","Arbeiterweg 456, 12345 Musterstadt","employeeId","Mitarbeiter-ID","employeeIdPlaceholder","MA-001","periodStart","Zeitraum Beginn","periodEnd","Zeitraum Ende","payDate","Auszahlungsdatum","Stundensatz","hourlyRatePlaceholder","25.00","regularHours","Reguläre Stunden","regularHoursPlaceholder","80","overtimeHours","Überstunden","overtimeHoursPlaceholder","0","deductionName","Name","deductionNamePlaceholder","Lohnsteuer","deductionAmount","deductionAmountPlaceholder","0.00","deductionYtd","JbH","ytdGrossPay","JbH Bruttolohn","ytdNetPay","JbH Nettolohn",{"_10793":10794,"_10795":10796,"_28":10797},"addDeduction","+ Abzug hinzufügen","printPayStub","🖨️ Abrechnung drucken","×","payStub",{"_10800":1597,"_10801":10802,"_10803":10804,"_10805":10806,"_10807":10808,"_10809":10810,"_10811":10812,"_10813":10814,"_10815":10816,"_10817":10818,"_10819":10820},"companyNameDefault","employeeNameDefault","Mitarbeiter:in Name","employeeIdLabel","ID: {{id}}","payPeriodDates","{{start}} - 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Januar bis zum aktuellen Abrechnungszeitraum","Reguläre Stunden: Standard-Arbeitsstunden (typischerweise bis zu 40 pro Woche)","overtime","Überstunden: Stunden über die reguläre Arbeitszeit hinaus, üblicherweise mit 1,5-fachem Satz bezahlt","commonDeductionsTitle","Häufige Abzüge","Einkommensteuer (Bund, Land, Kommune)","socialContributions","Sozialversicherungsbeiträge (Rente, Arbeitslosigkeit)","healthInsurance","Krankenversicherungsbeiträge","retirement","Altersvorsorgebeiträge","Sonstige Abzüge (Gewerkschaftsbeiträge, Pfändungen usw.)","tools/pdf-compressor",{"_168":10843,"_202":10844,"_1466":10845,"_968":10860,"_505":10865,"_931":10871},"PDF-Kompressor","Komprimiere PDF-Dateien, um die Dateigröße zu reduzieren",{"_10846":10847,"_10848":10849,"_10850":10851,"_10852":10853,"_10854":10855,"_10856":10857,"_10858":10859},"selectPdfFile","PDF-Datei auswählen","clickToBrowse","Klicke zum Durchsuchen oder ziehe deine PDF-Datei hier hinein","pleaseSelectPdf","Bitte wähle eine PDF-Datei aus","originalSize","Originalgröße: {{size}}","compressing","Komprimiere...","compressPdf","PDF komprimieren","compressionFailed","Komprimierung fehlgeschlagen. Die Datei könnte beschädigt oder verschlüsselt sein.",{"_28":10797,"_10861":10862,"_10863":10864},"downloadCompressed","Komprimierte PDF herunterladen","compressAnother","Weitere komprimieren",{"_10852":10866,"_10867":10868,"_4940":6240,"_10869":10870},"Originalgröße","compressedSize","Komprimierte Größe","reductionValue","{{percent}}%",{"_168":10872,"_2879":2880,"_2881":10873,"_10874":10875,"_10876":10877,"_10878":10879,"_10880":10881,"_10882":10883,"_10884":10885,"_10886":10887,"_10888":10889,"_10890":10891,"_10892":10893},"Über PDF-Komprimierung","Dieses Tool komprimiert PDFs, indem es unnötige Metadaten entfernt und die Dateistruktur optimiert. Die gesamte Verarbeitung findet in deinem Browser statt - deine Dateien werden niemals auf einen Server hochgeladen.","compressionResultsTitle","Komprimierungsergebnisse","textHeavy","Textlastige PDFs: typisch 10-30% Reduzierung","scanned","Gescannte Dokumente: typisch 5-15% Reduzierung","imageHeavy","Bildlastige PDFs: typisch 5-20% Reduzierung","alreadyCompressed","Bereits komprimierte PDFs: minimale oder keine Reduzierung","privacyTitle","Datenschutz & Sicherheit","privacy1","Alle Verarbeitung findet lokal in deinem Browser statt","privacy2","Keine Dateien werden auf einen Server hochgeladen","privacy3","Deine Daten verlassen niemals dein Gerät","privacy4","Sicher für vertrauliche Dokumente","tools/pdf-merger",{"_168":10896,"_202":10897,"_968":10898,"_1466":10905,"_10914":10915,"_1048":10927,"_931":10932},"PDF-Zusammenführung","Kombiniere mehrere PDF-Dateien zu einer",{"_10899":10900,"_28":29,"_10901":10902,"_10903":10904},"addPdfFiles","+ PDF-Dateien hinzufügen","mergePdfs","PDFs zusammenführen","merging","Führe zusammen...",{"_10906":10907,"_10908":10909,"_10910":10911,"_10912":10913},"someFilesSkipped","Einige Dateien waren keine PDFs und wurden übersprungen","atLeast2Files","Bitte füge mindestens 2 PDF-Dateien zum Zusammenführen hinzu","failedToMerge","Zusammenführung von {{filename}} fehlgeschlagen. Die Datei könnte beschädigt oder verschlüsselt sein.","mergeFailed","Zusammenführung der PDFs fehlgeschlagen","fileList",{"_168":10916,"_10917":10918,"_711":10919,"_10920":10921,"_18":10922,"_10923":10924,"_10925":10926},"Zusammenzuführende Dateien ({{count}})","totalPages","Gesamt: {{count}} Seiten","Seite","page_other","Seiten","Lade...","upArrow","▲","downArrow","▼",{"_10928":10929,"_10930":10931},"noPdfsSelected","Keine PDFs ausgewählt","clickToSelect","Klicke \"PDF-Dateien hinzufügen\", um mehrere PDFs zum Zusammenführen auszuwählen",{"_168":10902,"_5368":10933,"_2404":10934,"_2406":10935,"_2408":10936,"_2410":10937,"_3046":3047,"_3899":10938,"_3901":10939,"_3903":10940,"_3905":10941,"_10884":10885,"_10886":10942,"_10888":10943,"_10890":10944,"_10892":10893},"Schritte","Klicke \"PDF-Dateien hinzufügen\" und wähle 2 oder mehr PDF-Dateien aus","Nutze die ▲ ▼ Tasten, um die Dateien umzusortieren","Klicke \"PDFs zusammenführen\", um sie zu einer Datei zu kombinieren","Das zusammengeführte PDF wird automatisch heruntergeladen","Führe unbegrenzt viele PDF-Dateien zusammen","Sortiere Dateien durch Ziehen oder mit den Pfeiltasten um","Sieh die Seitenzahl für jedes PDF","Alle Verarbeitung findet in deinem Browser statt (privat & sicher)","Alle Dateien werden lokal in deinem Browser verarbeitet","Keine Uploads auf irgendwelche Server","Deine Dokumente verlassen niemals dein Gerät","tools/pdf-page-counter",{"_168":10947,"_202":10948,"_968":10949,"_57":10953,"_384":10963,"_1048":10968,"_931":10971},"PDF-Seitenzähler","Zähle Seiten in PDF-Dateien",{"_10950":10951,"_5648":10952,"_28":10797},"selectPdfFiles","+ PDF-Dateien auswählen","Alle löschen",{"_168":10954,"_10955":10956,"_10917":10957,"_10958":10959,"_10960":10961,"_711":10919,"_10920":10921,"_6573":10962},"Ergebnisse ({{count}} Datei)","title_other","Ergebnisse ({{count}} Dateien)","Seiten gesamt","across","in {{count}} Datei","across_other","in {{count}} Dateien","{{size}} KB",{"_10964":10965,"_10966":10967},"couldNotCount","Seiten konnten nicht gezählt werden (verschlüsselt oder ungültiges PDF)","failedToRead","PDF konnte nicht gelesen werden",{"_10928":10929,"_10969":10970},"selectToCount","Wähle eine oder mehrere PDF-Dateien aus, um ihre Seiten zu zählen",{"_168":10972,"_2879":2880,"_2881":10973,"_3046":3047,"_3899":10974,"_3901":10975,"_3903":10976,"_3905":10977,"_4175":8665,"_4177":10978,"_4179":10979,"_4181":10980,"_4183":10981,"_10884":10885,"_10886":10942,"_10888":10943,"_10890":10944,"_10892":10893},"Über PDF-Seitenzählung","Dieses Tool liest die interne Struktur von PDF-Dateien, um die Anzahl der Seiten genau zu zählen. Die gesamte Verarbeitung findet in deinem Browser statt - deine Dateien werden nirgendwo hochgeladen.","Zähle Seiten in mehreren PDFs gleichzeitig","Sieh die Gesamtseitenzahl über alle Dateien","Funktioniert mit großen PDF-Dateien","Schnelle und genaue Seitenzählung","Dokumentlänge vor dem Drucken überprüfen","PDF-Zusammenführungsergebnisse verifizieren","Druckkosten berechnen","PDF-Dokumente organisieren und katalogisieren","tools/pdf-splitter",{"_168":10984,"_202":10985,"_6805":10986,"_384":10990,"_964":11000,"_968":11009,"_307":11015,"_931":11018},"PDF-Trenner","Extrahiere bestimmte Seiten aus einer PDF-Datei",{"_6807":10987,"_10988":10989},"Klicke, um eine PDF-Datei auszuwählen","fileInfo","{{pages}} Seiten • Klicke zum Ändern der Datei",{"_10991":10851,"_10992":10993,"_10994":10995,"_10996":10997,"_10998":10999},"notPdf","readFailed","PDF konnte nicht gelesen werden. Die Datei könnte beschädigt oder verschlüsselt sein.","invalidPages","Bitte gib gültige Seitenzahlen ein","splitFailed","Trennung fehlgeschlagen. Bitte versuche es erneut.","extractFailed","Extraktion der Seiten fehlgeschlagen. Bitte versuche es erneut.",{"_11001":11002,"_11003":11004,"_11005":11006,"_11007":11008},"pageRange","Seitenbereich","pageRangePlaceholder","z.B. 1-3, 5, 7-10","rangeHelper","Gib die zu extrahierenden Seiten ein (1-{{max}}). Nutze Kommas und Bereiche.","selected","Ausgewählt: {{count}} Seiten ({{pages}})",{"_5139":11010,"_11011":11012,"_11013":11014},"Verarbeite...","extract","{{count}} Seiten extrahieren","extractAll","Alle extrahieren ({{count}})",{"_168":11016,"_1046":11017},"Datenschutz","Alle Verarbeitung findet in deinem Browser statt. Deine Dateien werden niemals auf einen Server hochgeladen.",{"_168":11019,"_6946":8290,"_1840":11020,"_1842":11021,"_1844":11022,"_11023":11024,"_1227":1228,"_947":11025,"_949":11026,"_951":11027},"Seitenbereich-Format","Seiten 1 bis 5","Seiten 1, 3 und 5","Seiten 1-3 und 7-10","example4","Nur Seite 5","Nutze \"Alle extrahieren\", um jede Seite als separate PDF zu speichern","Seitenzahlen beginnen bei 1 (erste Seite ist 1)","Ungültige Seitenzahlen werden automatisch herausgefiltert","tools/pdf-to-image",{"_168":11030,"_202":11031,"_11032":10987,"_10988":11033,"_6575":6576,"_6463":11034,"_11035":11036,"_11037":11038,"_11039":11040,"_11041":11042,"_11043":11044,"_711":11044,"_24":25,"_5205":6819,"_11045":11017,"_384":11046,"_931":11049},"PDF zu Bild","Konvertiere PDF-Seiten zu PNG- oder JPG-Bildern","selectFile","{{count}} Seiten • Klicke zum Ändern der Datei","Qualität (Skalierung: {{scale}}x)","converting","Konvertiere...","convertButton","{{count}} Seiten zu Bildern konvertieren","convertedImages","Konvertierte Bilder ({{count}})","downloadAll","Alle herunterladen","pageAlt","Seite {{number}}","privacyText",{"_6697":10851,"_10966":10993,"_11047":11048},"failedToConvert","Konvertierung fehlgeschlagen. Bitte versuche es erneut.",{"_168":11050,"_8283":11051,"_11052":11053,"_11054":11055,"_11056":11057,"_11058":11059,"_11060":11061,"_11062":11063},"Bild-Optionen","Format-Vergleich","pngDesc","Verlustfreie Qualität, größere Dateien, unterstützt Transparenz","jpgDesc","Kleinere Dateien, leichter Qualitätsverlust, besser für Fotos","scaleTitle","Skalierung/Qualität","scale1x","Am schnellsten, kleinste Dateien, niedrigere Auflösung","scale2x","Gute Balance von Qualität und Größe (Standard)","scale4x","Höchste Qualität, größte Dateien, am besten zum Drucken","tools/pdf-to-text-extractor",{"_168":11066,"_202":11067,"_968":11068,"_1466":11077,"_384":11085,"_5141":11094,"_505":11099,"_931":11100},"PDF zu Text Extraktor","Extrahiere Textinhalt aus PDF-Dateien",{"_11069":11070,"_11071":11072,"_11073":11074,"_20":11075,"_24":11076},"choosePdfFile","📁 PDF-Datei auswählen","tryAnotherFile","Andere Datei versuchen","extractFromAnother","📝 Aus anderem PDF extrahieren","📋 Kopieren","💾 Herunterladen",{"_5137":11078,"_11079":11080,"_11081":11082,"_11083":11084},"Dein PDF wird lokal verarbeitet - niemals auf einen Server hochgeladen","extracting","Extrahiere Text aus PDF...","uploadToExtract","Lade ein PDF hoch, um seinen Text zu extrahieren","worksWithTextBased","Funktioniert mit textbasierten PDFs",{"_10850":11086,"_11087":11088,"_10966":11089,"_11090":11091,"_11092":11093},"Bitte wähle eine gültige PDF-Datei aus","couldNotExtract","Text konnte nicht extrahiert werden. Das PDF könnte bildbasiert oder verschlüsselt sein.","PDF-Datei konnte nicht gelesen werden","unableToExtract","Text konnte nicht extrahiert werden. Das PDF könnte bildbasiert, verschlüsselt oder mit komplexer Formatierung versehen sein.","errorNote","Hinweis: Dieses Tool funktioniert am besten mit textbasierten PDFs. Für bildbasierte oder gescannte PDFs benötigst du OCR-Technologie (Optische Zeichenerkennung).",{"_168":11095,"_505":11096,"_11097":11098},"Text erfolgreich extrahiert!","{{fileName}} • {{characters}} Zeichen • {{words}} Wörter","extractedText","Extrahierter Text",{"_1538":1539,"_2828":2829,"_2834":2835},{"_168":11101,"_2879":2880,"_2881":11102,"_11103":11104,"_11105":11106,"_11107":11108,"_11109":11110,"_6951":6952,"_11111":11112,"_11113":11114,"_11115":11116,"_11117":11118,"_4175":2840,"_4177":11119,"_4179":11120,"_4181":11121,"_4183":11122,"_8670":11123},"Über PDF-Textextraktion","Dieses Tool analysiert die interne Struktur deiner PDF-Datei und extrahiert lesbaren Text. Der Prozess findet vollständig in deinem Browser statt - dein PDF wird niemals auf einen Server hochgeladen.","whatCanBeExtractedTitle","Was extrahiert werden kann","textBasedPdfs","Textbasierte PDFs: PDFs erstellt aus Word-Dokumenten, Webseiten oder getipptem Text","digitalDocuments","Digitale Dokumente: E-Books, Berichte, Artikel mit markierbarem Text","formData","Formulardaten: Text in ausfüllbaren PDF-Formularen","scannedDocuments","Gescannte Dokumente: Bilder von Text erfordern OCR (nicht enthalten)","complexLayouts","Komplexe Layouts: Tabellen und mehrspaltige Texte behalten Formatierung möglicherweise nicht bei","encryptedPdfs","Verschlüsselte PDFs: Passwortgeschützte Dateien können nicht verarbeitet werden","images","Bilder: Fotos und Grafiken werden nicht extrahiert","Zitate oder Auszüge aus PDF-Dokumenten kopieren","PDF-Inhalt zur Bearbeitung in Textverarbeitungsprogrammen konvertieren","Daten für Analysen oder Forschung extrahieren","Durchsuchbare Textarchive erstellen","Dokumentinhalt ohne proprietäre Software analysieren","tools/pendulum-period-calculator",{"_168":11126,"_202":11127,"_964":11128,"_2093":11137,"_57":11142,"_113":11148,"_139":11149,"_1007":11154,"_1190":11156,"_931":11162},"Pendel-Perioden-Rechner","Berechne Periode, Frequenz, Länge oder Schwerkraft für ein einfaches Pendel",{"_2095":5747,"_1109":1110,"_11129":11130,"_2228":2229,"_11131":11132,"_11133":11134,"_11135":11136},"periodLabel","Periode (s)","amplitudeLabel","Amplitude (Grad)","amplitudePlaceholder","Optional","amplitudeHint","Für Korrektur bei großen Winkeln",{"_11138":11139,"_2757":11140,"_5487":11141},"period","Periode (T)","Länge (L)","Schwerkraft (g)",{"_11138":11139,"_5946":11143,"_2757":11140,"_5487":11141,"_11144":11145,"_11146":11147},"Frequenz (f)","angularFrequency","Winkelfrequenz","animation","Pendel-Animation",{"_75":76,"_77":78},{"_3764":11150,"_2994":11151,"_11152":11153},"1 Meter","Uhr (0,25m)","foucault","Foucault (67m)",{"_1046":11155},"Gib gültige Werte ein, um zu berechnen",{"_168":1192,"_11138":11157,"_5946":11158,"_11159":11160,"_1276":11161},"T = 2π√(L/g)","f = 1/T","angular","ω = 2πf","Gültig für kleine Winkel (<15°). Bei größeren Amplituden steigt die Periode leicht.",{"_168":11163,"_202":11164,"_1212":1213,"_1214":11165,"_1216":11166,"_1218":11167,"_4727":4826,"_4729":11168,"_4731":11169,"_4733":11170},"Über den Pendel-Perioden-Rechner","Ein einfaches Pendel besteht aus einer Masse, die von einem festen Punkt hängt und unter Schwerkraft hin und her schwingt. Die Periode hängt nur von der Länge und der Gravitationsbeschleunigung ab.","Periode ist unabhängig von Masse und Amplitude (für kleine Winkel)","Längere Pendel haben längere Perioden","Höhere Schwerkraft bedeutet kürzere Perioden","Standuhren und Zeitmessung","Messung der lokalen Gravitationsbeschleunigung","Foucault-Pendel demonstriert die Erdrotation","tools/percentage-finder",{"_168":11173,"_202":11174,"_139":11175,"_11182":11183,"_964":11201,"_57":11222,"_931":11229},"Prozentrechner","Berechne Prozentsätze, Zunahmen, Abnahmen und mehr",{"_11176":11177,"_11178":11179,"_11180":11181},"20percentOf150","20% von 150","30isPercentOf150","30 ist % von 150","100to150change","100 zu 150 Änderung","calculationTypes",{"_168":11184,"_11185":11186,"_11187":11188,"_11189":11190,"_11191":11192,"_11193":11194,"_11195":11196,"_11197":11198,"_11199":11200},"Berechnungsart wählen","whatIsXOfY","Was ist X% von Y?","whatIsXOfYDesc","Finde Prozentsatz einer Zahl","xIsWhatOfY","X ist wie viel % von Y?","xIsWhatOfYDesc","Finde heraus, wie viel Prozent eine Zahl von einer anderen ist","xIsYOfWhat","X ist Y% von was?","xIsYOfWhatDesc","Finde das Ganze aus einem Teil","percentageChange","Prozentuale Änderung","percentageChangeDesc","Berechne Zunahme oder Abnahme",{"_2042":11202,"_11203":11204,"_11205":11206,"_11207":1751,"_11208":11209,"_11210":1729,"_11211":11212,"_11213":1751,"_11214":11215,"_11216":11217,"_11218":1741,"_11219":11220,"_11221":1747},"Prozentsatz (%)","percentagePlaceholder","25","ofNumber","Von Zahl","ofNumberPlaceholder","partX","Teil (X)","partXPlaceholder","wholeY","Ganzes (Y)","wholeYPlaceholder","percentageY","Prozentsatz (Y%)","oldValue","Alter Wert","oldValuePlaceholder","newValue","Neuer Wert","newValuePlaceholder",{"_55":56,"_11223":11224,"_11225":11226,"_11227":11228},"increase","Zunahme","decrease","Abnahme","noChange","Keine Änderung",{"_168":11230,"_11231":11232,"_784":11233,"_11234":11235,"_945":11236,"_1824":11237},"Häufige Prozentberechnungen","shopping","• Einkaufen: Berechne Rabatte und Ersparnisse (20% Rabatt auf 100€ = 20€ Rabatt)","• Finanzen: Berechne Zinssätze, Renditen und Wachstum","grades","• Noten: Konvertiere Testergebnisse in Prozentsätze (45/50 = 90%)","• Trinkgeld: Berechne Restaurant-Trinkgeld (15% von 50€ = 7,50€)","• Statistik: Drücke Daten als Prozentsätze zur Analyse aus","tools/percentile-calculator",{"_168":11240,"_202":11241,"_964":11242,"_113":11246,"_11251":11252,"_11256":11257,"_11261":11262,"_505":11280,"_11285":11286,"_11290":11291,"_384":11297,"_931":11305,"_1007":11312},"Perzentil-Rechner","Berechne Perzentile, Perzentilränge und analysiere Datenverteilungen",{"_11243":11244,"_5008":11245},"dataLabel","Daten (durch Komma oder Leerzeichen getrennt)","z.B. 45, 67, 89, 34, 78, 90, 23, 56, 71, 82",{"_11247":11248,"_11249":11250},"analyze","Daten analysieren","find","Finden","findValue",{"_168":11253,"_2823":11254,"_55":11255},"Wert am Perzentil finden","0-100","Wert am {{p}}. Perzentil","findRank",{"_168":11258,"_2823":11259,"_55":11260},"Perzentilrang finden","Wert eingeben","Perzentilrang","fiveNumber",{"_168":11263,"_11264":11265,"_11266":11267,"_11268":11269,"_11270":11271,"_11272":11273,"_11274":11275,"_11276":11277,"_11278":11279},"Fünf-Zahlen-Zusammenfassung","min","Min","q1","Q1 (25.)","median","Median","q3","Q3 (75.)","max","Max","iqr","IQR","lowerFence","Untere Grenze","upperFence","Obere Grenze",{"_168":11281,"_1812":3497,"_3498":11282,"_11283":11284},"Beschreibende Statistik","Std.-Abw.","range","Spannweite","commonPercentiles",{"_168":11287,"_11288":11289,"_7432":7433},"Häufige Perzentile","percentile","Perzentil","outliers",{"_168":11292,"_11293":11294,"_11295":11296},"Ausreißer (IQR-Methode)","mild","Leichte Ausreißer (1,5 × IQR)","extreme","Extreme Ausreißer (3 × IQR)",{"_11298":11299,"_11300":11301,"_11302":11303,"_7471":11304},"minData","Bitte gib mindestens 2 Zahlen ein","analyzeFirst","Bitte analysiere zuerst die Daten","invalidPercentile","Bitte gib ein Perzentil zwischen 0 und 100 ein","Bitte gib einen gültigen Wert ein",{"_168":11306,"_202":11307,"_1212":1213,"_1214":11308,"_1216":11309,"_1218":11310,"_1220":11311},"Über den Perzentil-Rechner","Berechne Perzentile und Perzentilränge aus deinem Datensatz. Analysiere Verteilungen mit Fünf-Zahlen-Zusammenfassung, beschreibender Statistik und Ausreißererkennung.","Ein Perzentil gibt den Wert an, unter dem ein bestimmter Prozentsatz der Beobachtungen liegt","Der Perzentilrang einer Punktzahl ist der Prozentsatz der Punktzahlen, die gleich oder niedriger sind","Quartile teilen Daten in vier gleiche Teile: Q1 (25.), Q2/Median (50.), Q3 (75.)","IQR (Interquartilsabstand) = Q3 - Q1, wird verwendet, um Ausreißer zu identifizieren",{"_452":11313},"Enter data to calculate percentiles","tools/permutation-combination-calculator",{"_168":11316,"_202":11317,"_964":11318,"_1120":11325,"_11332":11333,"_1820":2794,"_1151":1152,"_11334":11335,"_2198":11339,"_139":11349,"_1007":11355,"_1190":11356,"_931":11364},"Permutation & Kombination Rechner","Berechne Fakultät, Permutationen (nPr) und Kombinationen (nCr) mit Visualisierung",{"_11319":5747,"_11320":11321,"_3078":11322,"_11323":11324},"calculateLabel","nLabel","n (Elemente gesamt)","r (Elemente wählen)","allowRepetition","Wiederholung erlauben",{"_11326":11327,"_11328":11329,"_11330":11331},"factorial","Fakultät (n!)","permutation","Permutation (nPr)","combination","Kombination (nCr)","withRepetition","mit Wiederholung","comparison",{"_11328":11336,"_11330":11337,"_1349":11338},"Permutation","Kombination","Verhältnis",{"_11340":11341,"_11342":11343,"_11344":11345,"_11334":11346,"_11347":11348},"factorialGrowth","Fakultäts-Wachstum","permutations","Permutationen","combinations","Kombinationen","Permutation vs. Kombination","tooLarge","Werte zu groß zum Anzeigen",{"_11326":11350,"_11351":11352,"_11353":11354},"5!","passwords","10P3 PINs","poker","52C5 Poker",{"_1046":11155},{"_168":11357,"_11358":11359,"_11360":11336,"_11361":11337,"_11362":11363},"Zählformeln","factorialLabel","Fakultät","permutationLabel","combinationLabel","relationships","Wichtige Zusammenhänge",{"_168":11365,"_202":11366,"_11367":11368,"_11369":11370,"_11371":11372,"_6946":8290,"_1840":11373,"_1842":11374},"Über den Permutation & Kombination Rechner","Berechne die Anzahl der Möglichkeiten, Elemente anzuordnen oder auszuwählen. Permutationen zählen geordnete Anordnungen, während Kombinationen ungeordnete Auswahlen zählen.","differenceTitle","Wichtigster Unterschied","difference1","Permutation: REIHENFOLGE WICHTIG - 3 Bücher in ein Regal einordnen","difference2","Kombination: REIHENFOLGE UNWICHTIG - 3 Bücher zum Lesen auswählen","Wie viele Möglichkeiten, 5 Personen in einer Reihe anzuordnen? → 5P5 = 5! = 120","Wie viele 5-Karten-Pokerhände aus 52 Karten? → 52C5 = 2.598.960","tools/pet-name-generator",{"_168":11377,"_202":11378,"_964":11379,"_11384":11385,"_11398":11399,"_968":11412,"_57":11415,"_1048":11419,"_931":11423},"Haustiernamen-Generator","Generiere kreative Namen für deine Haustiere",{"_11380":11381,"_11382":11383},"petType","Haustierart","nameStyle","Namensstil","petTypes",{"_11386":11387,"_11388":11389,"_11390":11391,"_11392":11393,"_11394":11395,"_11396":11397},"anyPet","🐾 Beliebiges Haustier","dog","🐕 Hund","cat","🐈 Katze","bird","🐦 Vogel","rabbit","🐰 Hase","hamster","🐹 Hamster","nameStyles",{"_11400":11401,"_11402":11403,"_11404":11405,"_11406":11407,"_11408":11409,"_11410":11411},"anyStyle","✨ Beliebiger Stil","cuteSweet","💕 Niedlich & Süß","funnySilly","😄 Lustig & Albern","classicTraditional","📖 Klassisch & Traditionell","uniqueCreative","🌟 Einzigartig & Kreativ","foodInspired","🍕 Essen-inspiriert",{"_11413":11414},"generatePetNames","🎲 Haustiernamen generieren",{"_11416":11417,"_1037":11418,"_1039":8652},"nameSuggestions","✨ Namensvorschläge","💡 Klicke auf einen Namen, um ihn zu kopieren",{"_11420":11421,"_1046":11422},"icon","🐾","Klicke \"Haustiernamen generieren\", um loszulegen!",{"_168":11424,"_1227":11425,"_947":11426,"_949":11427,"_951":11428,"_1419":11429,"_3460":11430,"_11431":11432,"_11433":11434,"_11435":11436,"_11437":11438,"_11439":11440,"_11441":11442,"_11443":11444,"_11445":11446,"_11447":11448,"_11449":11450,"_11451":11452,"_11453":11454,"_11455":11456},"Den perfekten Haustiernamen wählen","Tipps für die Benennung deines Haustieres","Wähle einen Namen, der leicht auszusprechen und kurz ist (1-2 Silben)","Vermeide Namen, die wie Kommandos klingen (z.B. \"Kitt\" klingt wie \"Sitz\")","Berücksichtige die Persönlichkeit und das Aussehen deines Haustieres","Stelle sicher, dass alle Familienmitglieder mit dem Namen einverstanden sind","Probiere aus, den Namen laut zu rufen, um zu sehen, wie er sich anfühlt","tip6","Vermeide trendige Namen, die vielleicht nicht gut altern","popularTrendsTitle","Beliebte Benennungstrends","humanNames","Menschliche Namen: Max, Charlie, Bella, Lucy","foodNames","Essen-Namen: Oreo, Cookie, Erdnuss, Pfeffer","popCulture","Popkultur: Charaktere aus Filmen, Büchern und TV","natureNames","Natur-Namen: Fluss, Sturm, Weide, Bär","appearanceBased","Aussehen-basiert: Schatten, Schneeball, Ingwer, Fleck","trainingTipsTitle","Namens-Trainingstipps","training1","Nutze den Namen konsequent vom ersten Tag an","training2","Sage den Namen in einem fröhlichen, positiven Ton","training3","Belohne dein Haustier, wenn es auf seinen Namen reagiert","training4","Nutze den Namen bei positiven Erfahrungen (Leckerlis, Spiel)","training5","Sei geduldig - es kann ein paar Wochen dauern, bis es den Namen lernt","tools/ph-calculator",{"_168":11459,"_202":11460,"_964":11461,"_2093":11474,"_2124":5767,"_57":11481,"_11486":11487,"_1007":11491,"_1190":11493,"_11498":11499,"_139":11504,"_931":11508},"pH-Rechner","Berechne pH, pOH, [H⁺] und [OH⁻] Konzentrationen für wässrige Lösungen",{"_2095":5747,"_11462":2114,"_11463":11464,"_11465":11466,"_11467":11468,"_11469":11470,"_11471":11468,"_11472":11473},"phLabel","pohLabel","pOH","hLabel","[H⁺] (mol/L)","hPlaceholder","z.B. 1e-7","ohLabel","[OH⁻] (mol/L)","ohPlaceholder","scientificNotation","Nutze wissenschaftliche Notation (z.B. 1e-7 für 10⁻⁷)",{"_11475":2114,"_11476":11464,"_11477":11478,"_11479":11480},"ph","poh","h","[H⁺] Konzentration","oh","[OH⁻] Konzentration",{"_168":58,"_11475":2114,"_11476":11464,"_11482":11483,"_11484":11485},"hConc","[H⁺] mol/L","ohConc","[OH⁻] mol/L","solutionType",{"_2130":11488,"_2132":11489,"_2134":11490},"Saure Lösung","Neutrale Lösung","Basische Lösung",{"_1046":11492},"Gib einen bekannten Wert ein, um die anderen zu berechnen",{"_168":11363,"_6117":11494,"_6119":11495,"_6121":11496,"_6123":11497},"pH + pOH = 14 (bei 25°C)","pH = -log₁₀[H⁺]","pOH = -log₁₀[OH⁻]","[H⁺][OH⁻] = 10⁻¹⁴ (Kw bei 25°C)","scale",{"_168":11500,"_2130":11501,"_2132":11502,"_2134":11503},"pH-Skala:","pH < 7: Sauer","pH = 7: Neutral","pH > 7: Basisch (Alkalisch)",{"_1304":8290,"_2132":11505,"_2130":11506,"_2134":11507},"Neutral (pH 7)","Sauer (pH 3)","Basisch (pH 12)",{"_168":11509,"_202":11510,"_1214":11511,"_1216":11512,"_1218":11513},"Über den pH-Rechner","Die pH-Skala misst, wie sauer oder basisch eine wässrige Lösung ist. Reines Wasser bei 25°C hat einen pH-Wert von 7, was neutral ist.","Säuren setzen H⁺-Ionen im Wasser frei und senken den pH-Wert unter 7","Basen setzen OH⁻-Ionen im Wasser frei und erhöhen den pH-Wert über 7","Das Produkt [H⁺][OH⁻] ist bei 25°C immer 10⁻¹⁴ (Kw)","tools/pixel-density-calculator",{"_168":11516,"_202":11517,"_139":11518,"_1120":11527,"_7949":11532,"_11563":11564,"_1668":11575,"_11604":11605,"_931":11614},"Pixeldichte-Rechner","Berechne PPI/DPI für Bildschirme und Drucke",{"_11519":11520,"_11521":11522,"_11523":11524,"_11525":11526},"24inchFullHd","24\" Full HD Monitor","27inchQhd","27\" QHD Monitor","27inch4k","27\" 4K Monitor","13inchMacbook","13\" MacBook Pro Retina",{"_3469":1305,"_11528":11529,"_11530":11531},"screenPpi","Bildschirm/Monitor PPI","printDpi","Druck DPI",{"_11533":11534,"_11535":11536,"_11537":11538,"_11539":11540,"_11541":11542,"_1356":1357,"_11543":11544,"_11545":11546,"_11547":11548,"_11549":11550,"_11551":11552,"_11553":11554,"_11555":11556,"_11557":11558,"_11559":11560,"_11561":11562},"widthPixels","Breite (Pixel)","heightPixels","Höhe (Pixel)","diagonalScreenSize","Diagonale Bildschirmgröße (Zoll)","pixelDensity","Pixeldichte","ppiValue","{{ppi}} PPI","aspectRatioValue","{{ratio}}:1","diagonalPx","Diagonale (px)","physicalWidth","Physische Breite","physicalHeight","Physische Höhe","inchesUnit","\"","whatThisMeans","💡 Was das bedeutet","pixelsPerInch","• Dieser Bildschirm hat {{ppi}} Pixel pro Zoll","totalResolution","• Gesamtauflösung: {{width}} × {{height}} ({{mp}}MP)","retinaDisplay","• Dieser Bildschirm qualifiziert sich als \"Retina\"-Display","considerHigherRes","• Erwäge einen Bildschirm mit höherer Auflösung für bessere Klarheit","retinaClassifications",{"_11565":11566,"_11567":11568,"_11569":11570,"_11571":11572,"_11573":11574},"retinaHigh","Retina (Hoch)","retinaStandard","Retina (Standard)","highDensity","Hohe Dichte","standardDensity","Standard-Dichte","lowDensity","Niedrige Dichte",{"_11576":1640,"_1872":1873,"_1868":1869,"_1352":11577,"_1354":11578,"_11579":11580,"_11581":11582,"_11583":11584,"_11585":11586,"_11587":11588,"_11589":11590,"_11591":11592,"_11593":11594,"_11595":11596,"_11597":11598,"_7263":11599,"_11600":11601,"_11602":11603},"unit","Breite ({{unit}})","Höhe ({{unit}})","imageWidthPixels","Bildbreite (Pixel)","imageHeightPixels","Bildhöhe (Pixel)","printResolution","Druck-Auflösung","dpiValue","{{dpi}} DPI","widthDpi","Breite DPI","heightDpi","Höhe DPI","printRecommendations","💡 Druck-Empfehlungen","excellentQuality","• ✅ Hervorragende Qualität für professionellen Druck","goodQuality","• ✅ Gute Qualität für die meisten Druckbedürfnisse","screenQuality","• ⚠️ Geeignet für Bildschirmanzeige, könnte beim Drucken pixelig sein","• ❌ Zu niedrig für Qualitätsdruck, erhöhe die Auflösung","aimFor300","• Ziele für beste Ergebnisse auf 300 DPI für den Druck","minimum150","• 150 DPI ist das Minimum für akzeptable Druckqualität","printQuality",{"_11606":11607,"_11608":11609,"_11610":11611,"_11612":11613},"professionalPrint","Professioneller Druck","goodPrintQuality","Gute Druckqualität","screenWebQuality","Bildschirm/Web-Qualität","lowQuality","Niedrige Qualität",{"_168":11615,"_11616":11617,"_11618":11619,"_11620":11621,"_11622":11623,"_11624":11625,"_11626":11627,"_11628":11629,"_11630":11631,"_11632":11633,"_11634":11635,"_11636":11637,"_11638":11639,"_11640":11641,"_11642":11643,"_11644":11645,"_11646":11647},"Pixeldichte verstehen","ppiVsDpiTitle","PPI vs. DPI","ppi","PPI (Pixels Per Inch): Verwendet für Bildschirme und digitale Anzeigen","dpi","DPI (Dots Per Inch): Verwendet für Drucker und Druckauflösung","bothMeasure","Beide messen die Dichte von Pixeln oder Punkten in einem bestimmten Bereich","higherBetter","Höheres PPI/DPI = schärfere, detailliertere Bilder","commonScreenDensitiesTitle","Gängige Bildschirmdichten","90ppi","~90 PPI: Standard-Desktop-Monitore (24\" 1080p)","110ppi","~110 PPI: 27\" 1440p-Monitore","160ppi","~160 PPI: 27\" 4K-Monitore","220ppi","~220 PPI: MacBook Pro Retina-Displays","460ppi","~460 PPI: iPhone/High-End-Smartphones","printGuidelinesTitle","Druck-Richtlinien","300dpi","300 DPI: Standard für professionellen Druck","150to200dpi","150-200 DPI: Akzeptabel für die meisten Drucke","72dpi","72 DPI: Web/Bildschirm-Standard (nicht zum Drucken)","viewingDistance","Berücksichtige Betrachtungsabstand - größere Drucke können niedrigeres DPI verwenden","tools/placeholder-image-generator",{"_168":11650,"_202":11651,"_139":11652,"_964":11661,"_3199":11670,"_450":11675,"_11678":11679,"_968":11689,"_931":11694},"Platzhalter-Bild-Generator","Generiere eigene Platzhalterbilder für Webdesign",{"_11653":11654,"_11655":11656,"_11657":11658,"_11659":11660},"600x400Gray","600×400 Grau","openGraph","Open Graph","bannerAd","Banner-Anzeige","fullHd","Full HD",{"_11662":6741,"_11663":6743,"_5253":5254,"_5257":2397,"_11664":11665,"_11666":11667,"_6575":6576,"_63":64,"_11668":11669},"widthPx","heightPx","customText","Eigener Text (optional)","customTextPlaceholder","Leer lassen, um Abmessungen anzuzeigen","showDimensions","Abmessungen anzeigen, wenn kein Text",{"_11671":11672,"_11673":11674},"png","PNG","jpeg","JPEG",{"_168":2387,"_11676":11677},"generatedAlt","Generierter Platzhalter","imageInfo",{"_1641":11680,"_11681":11682,"_6575":11683,"_11684":11685,"_1356":11686,"_11543":11544,"_6573":11687,"_11688":10962},"Abmessungen:","dimensionsValue","{{width}} × {{height}}px","Format:","formatValue","{{format}}","Seitenverhältnis:","Dateigröße:","fileSizeValue",{"_11690":11691,"_11692":11693},"downloadImage","💾 Bild herunterladen","copyDataUrl","📋 Data-URL kopieren",{"_168":11695,"_11696":11697,"_11698":11699,"_1301":11700,"_6774":11701,"_11702":11703,"_11704":11705,"_11706":11707,"_11708":11709,"_11710":11711,"_11712":11713,"_11714":11715,"_11716":11717,"_1227":1228,"_947":11718,"_949":11719,"_951":11720,"_1419":11721,"_3460":11722,"_11431":11723},"Gängige Platzhalter-Bildgrößen","webSocialMediaTitle","Web & Social Media","ogImage","Open Graph (OG) Bild: 1200×630px (Facebook, LinkedIn, Twitter)","Instagram Quadrat: 1080×1080px","Instagram Story: 1080×1920px","twitterHeader","Twitter Header: 1500×500px","youtubeThumbnail","YouTube Thumbnail: 1280×720px","commonWebSizesTitle","Gängige Web-Größen","heroImage","Hero-Bild: 1920×1080px oder 1440×900px","blogFeaturedImage","Blog-Featured-Bild: 1200×630px oder 800×450px","thumbnail","Thumbnail: 300×200px oder 400×300px","profilePicture","Profilbild: 200×200px oder 400×400px","bannerAdSizes","Banner-Anzeige: 728×90px, 300×250px, 160×600px","Nutze kontrastreiche Farben für Text und Hintergrund für bessere Sichtbarkeit","PNG-Format unterstützt Transparenz, JPEG hat kleinere Dateigrößen","Füge Abmessungen oder beschreibenden Text hinzu, um Platzhalter leicht zu identifizieren","Erwäge neutrale Farben (Grautöne) für allgemeine Platzhalter","Passe Seitenverhältnisse an deine finalen Inhaltsanforderungen an","Data-URLs können direkt in HTML/CSS für schnelles Testen verwendet werden","tools/png-to-webp-converter",{"_168":11726,"_202":11727,"_5131":11728,"_11037":11729,"_11730":11731,"_6753":11732,"_7059":11733,"_11734":4372,"_11735":11736,"_11737":11738,"_7826":11739,"_11740":11741,"_11742":11743,"_409":11744,"_6463":11745,"_931":11746},"PNG zu WebP Konverter","Konvertiere PNG-Bilder ins WebP-Format","PNG-Bild auswählen","Zu WebP konvertieren","downloadButton","WebP herunterladen","Originalbild (PNG)","Konvertiertes Bild (WebP)","originalAlt","convertedAlt","Konvertiert","smallerFile","Kleinere Datei","Ausgewogen","bestQuality","Beste Qualität","notSupported","Dein Browser unterstützt keine WebP-Kodierung. Versuche Chrome, Edge oder Opera für die WebP-Konvertierung.","Erfolgreich ins WebP-Format konvertiert! WebP bietet bessere Komprimierung als PNG, typischerweise 25-35% kleinere Dateigrößen.","Qualität",{"_168":11747,"_8601":11748,"_11749":11750,"_11751":11752,"_11753":11754,"_11755":11756,"_11757":11758,"_11759":11760,"_11761":11762,"_11763":11764,"_11765":11766,"_11767":11768,"_11769":11770,"_11771":11772,"_2450":2451,"_2452":11773,"_2454":11774,"_2456":11775,"_2458":11776},"Über das WebP-Format","Warum WebP verwenden?","benefit1Label","Kleinere Dateien","benefit1Text","25-35% kleiner als PNG bei gleicher Qualität","benefit2Label","Transparenz-Unterstützung","benefit2Text","Wie PNG, unterstützt transparente Hintergründe","benefit3Label","Bessere Komprimierung","benefit3Text","Effizienter als JPG und PNG","benefit4Label","Schnellere Websites","benefit4Text","Kleinere Dateien = schnellere Ladezeiten","browserTitle","Browser-Unterstützung","browser1","Chrome, Edge, Firefox, Opera: Volle Unterstützung","browser2","Safari: Unterstützt ab macOS 11+ und iOS 14+","browser3","Die meisten modernen Browser unterstützen WebP","Nutze 80-90% Qualität für beste Balance","Stelle immer PNG/JPG-Fallback für ältere Browser bereit","Perfekt für Web-Bilder, Icons und Grafiken","Besonders gut für Bilder mit Transparenz","tools/poisson-distribution-calculator",{"_168":11779,"_202":11780,"_11781":11782,"_964":11784,"_113":11796,"_11799":11800,"_57":11808,"_7604":11810,"_8701":11814,"_384":11819,"_139":11825,"_931":11832},"Poisson-Verteilungs-Rechner","Berechne Poisson-Wahrscheinlichkeiten, kumulative Verteilungen und schätze Lambda aus Daten","calculator",{"_168":11783},"Poisson-Wahrscheinlichkeits-Rechner",{"_11785":11786,"_11787":11788,"_11789":11790,"_11791":11792,"_11793":1238,"_11794":11795},"lambdaLabel","λ (Lambda - Durchschnittsrate)","lambdaPlaceholder","z.B. 3,5","lambdaHint","Erwartete Anzahl von Ereignissen","kLabel","k (Anzahl der Ereignisse)","kPlaceholder","kHint","Anzahl der zu berechnenden Ereignisse",{"_30":31,"_11797":11798},"estimate","λ schätzen","estimation",{"_168":11801,"_11243":11802,"_5008":11803,"_11804":11805,"_1814":11806,"_3487":11807},"Schätze λ aus Daten","Stichprobendaten (durch Komma oder Leerzeichen getrennt)","z.B. 2, 4, 1, 3, 5, 2, 4","lambdaResult","Geschätztes λ:","Stichproben-Varianz:","Stichprobengröße:",{"_168":11809},"Wahrscheinlichkeitsergebnisse",{"_168":11811,"_1812":1813,"_1814":1815,"_3498":8681,"_1521":1522,"_11812":11813},"Verteilungseigenschaften","atLeastOne","P(X ≥ 1) - Mindestens ein Ereignis",{"_168":11815,"_11816":11816,"_1804":11817,"_2042":11818},"Wahrscheinlichkeitsverteilung","k","P(X = k)","Prozent",{"_11820":11821,"_11822":11823,"_11298":11824},"invalidLambda","Bitte gib ein gültiges Lambda (Rate) ≥ 0 ein","invalidK","Bitte gib ein gültiges k (Ereignisse) ≥ 0 ein","Bitte gib mindestens 2 nicht-negative ganze Zahlen ein",{"_1304":8290,"_11826":11827,"_11828":11829,"_11830":11831},"callCenter","Callcenter (λ=4, k=3)","defects","Fehler (λ=2, k=0)","arrivals","Ankünfte (λ=10, k=12)",{"_168":11833,"_202":11834,"_1820":11835,"_4224":11836,"_4226":11837,"_139":11838},"Über die Poisson-Verteilung","Die Poisson-Verteilung modelliert die Wahrscheinlichkeit, dass eine bestimmte Anzahl von Ereignissen in einem festen Zeit- oder Raumintervall auftritt.","Formel: P(X = k) = (λᵏ × e⁻λ) / k!","Wichtige Eigenschaft: Mittelwert = Varianz = λ","Ereignisse sind unabhängig und Rate ist konstant","Häufige Verwendungen: Callcenter-Anrufe, Fehler pro Einheit, Unfälle pro Tag, Website-Besucher pro Stunde","tools/polar-cartesian-calculator",{"_168":11841,"_202":11842,"_964":11843,"_1120":11850,"_11855":11856,"_1151":11857,"_57":11861,"_1190":11876,"_139":11886,"_931":11892},"Polar-Kartesisch-Konverter","Konvertiere zwischen Polar- (r, θ) und kartesischen (x, y) Koordinaten mit Visualisierung",{"_1097":11844,"_1243":1244,"_1105":11845,"_11846":11847,"_4748":11848,"_4750":11849},"Konvertierungsrichtung","Radius (r)","thetaLabel","Winkel (θ)","x-Koordinate","y-Koordinate",{"_11851":11852,"_11853":11854},"polarToCartesian","Polar zu Kartesisch","cartesianToPolar","Kartesisch zu Polar","angleUnits",{"_1245":1246,"_1247":1248},{"_168":11858,"_2762":11845,"_1261":11847,"_11859":11860},"Koordinatensystem-Visualisierung","components","x-, y-Komponenten",{"_11862":11863,"_11864":11865,"_2762":11866,"_1245":1246,"_1247":1248,"_11867":11868,"_11869":11870,"_11871":11872,"_3690":11873,"_11874":11875},"cartesian","Kartesische Koordinaten (x, y)","polar","Polarkoordinaten (r, θ)","r (Radius)","additional","Zusätzliche Informationen","quadrant","Quadrant","origin","Ursprung","Abstand vom Ursprung","angleFromX","Winkel von +x-Achse",{"_168":11877,"_11878":11879,"_11880":11881,"_11882":11883,"_11884":11885},"Konvertierungsformeln","xFormula","x = r × cos(θ)","yFormula","y = r × sin(θ)","rFormula","r = √(x² + y²)","thetaFormula","θ = atan2(y, x)",{"_1304":8290,"_11887":11888,"_11862":11889,"_11890":11891},"polar45","r=5, θ=45°","(3, 4)","unitCircle","Einheitskreis π/6",{"_168":11893,"_202":11894,"_11864":11895,"_11862":11896,"_2804":11897},"Über den Polar-Kartesisch-Konverter","Dieses Tool konvertiert zwischen zwei gängigen Koordinatensystemen, die in Mathematik und Physik verwendet werden.","Polarkoordinaten (r, θ) verwenden Abstand vom Ursprung und Winkel von der positiven x-Achse","Kartesische Koordinaten (x, y) verwenden senkrechte Abstände von den Achsen","Verwendet bei komplexen Zahlen, Physik (Kreisbewegung), Navigation und Computergrafik","tools/population-growth-calculator",{"_168":11900,"_202":11901,"_964":11902,"_11914":11915,"_3010":11919,"_57":11928,"_139":11950,"_1007":11953,"_1190":11955,"_931":11962,"_2198":11975},"Bevölkerungswachstums-Rechner","Berechne exponentielles und logistisches Bevölkerungswachstum mit animierter Visualisierung",{"_11903":11904,"_6748":11905,"_11906":11907,"_11908":11909,"_11910":11911,"_2667":11912,"_2142":11913},"modelLabel","Wachstumsmodell","Voreingestellte Wachstumsraten","initialLabel","Anfangspopulation (P₀)","rateLabel","Wachstumsrate (r)","rateHint","Als Dezimalzahl (z.B. 0,05 = 5%/Zeit)","Zeit (t)","Tragfähigkeit (K)","models",{"_7596":11916,"_11917":11918},"Exponentielles Wachstum","logistic","Logistisches Wachstum",{"_2215":2216,"_11920":11921,"_11922":11923,"_11924":11925,"_11926":11927},"bacteria","E. coli Bakterien","world","Weltbevölkerung","usa","USA-Bevölkerung","insect","Insektenpopulation",{"_11929":11930,"_11931":11932,"_1177":11933,"_11934":11935,"_11936":11913,"_11937":11938,"_11939":11940,"_11941":11942,"_5771":11943,"_11944":11945,"_11946":11947,"_3945":11948,"_10539":11949},"population","Population bei t","doublingTime","Verdopplungszeit","Änderung von P₀","logisticDetails","Logistisches Wachstum - Details","capacity","percentCapacity","% der Tragfähigkeit","inflection","Wendepunkt (max. Wachstum)","summary","Wachstums-Zusammenfassung","Anfangspopulation","final","Endpopulation","absolute","Absolute Änderung","Wachstumsrate","Wachstumskurve",{"_11920":11951,"_11922":11923,"_11917":11952},"Bakterienwachstum","Logistisches Beispiel",{"_1046":11954},"Gib gültige Parameter ein, um Bevölkerungswachstum zu berechnen",{"_168":11956,"_7596":11957,"_11958":11959,"_11917":11960,"_11939":11961},"Bevölkerungswachstums-Modelle","P(t) = P₀ × e^(rt)","doubling","Verdopplungszeit = ln(2) / r","P(t) = K / (1 + ((K-P₀)/P₀) × e^(-rt))","Wendepunkt bei P = K/2",{"_168":11963,"_202":11964,"_11965":11966,"_11967":11968,"_11969":11970,"_4727":4826,"_4729":11971,"_4731":11972,"_4733":11973,"_4735":11974},"Über den Bevölkerungswachstums-Rechner","Modelliere Bevölkerungswachstum mit exponentiellen oder logistischen Modellen. Exponentielles Wachstum geht von unbegrenzten Ressourcen aus, während logistisches Wachstum eine Tragfähigkeit einbezieht, die die Populationsgröße begrenzt.","modelsTitle","Wachstumsmodelle","model1","Exponentiell: Unbegrenztes Wachstum, Population verdoppelt sich mit konstanter Rate","model2","Logistisch: Wachstum verlangsamt sich, wenn Population sich Tragfähigkeit nähert (S-Kurve)","Biologie - Bakterien- und Zellwachstum","Ökologie - Tierpopulationsdynamik","Demografie - Menschliche Bevölkerungsprognosen","Epidemiologie - Modellierung der Krankheitsausbreitung",{"_3603":11976,"_594":884,"_11929":11977},"Geben Sie gültige Parameter ein","Bevölkerung","tools/power-efficiency-calculator",{"_168":11980,"_202":11981,"_964":11982,"_1120":11996,"_4461":12000,"_57":12010,"_2198":12022,"_1153":12027,"_139":12032,"_1007":12039,"_1190":12041,"_931":12046},"Leistung & Effizienz Rechner","Berechne mechanische Leistung, Arbeit und Energieeffizienz mit Einheitenumrechnung",{"_1097":1305,"_11983":11984,"_2095":5747,"_8816":8817,"_11985":11986,"_2667":11987,"_3702":3703,"_11988":11989,"_11990":11991,"_11992":11993,"_7106":11994,"_7104":11995},"methodLabel","Berechnungsmethode","workLabel","Arbeit (J)","Zeit (s)","velocityLabel","Geschwindigkeit (m/s)","velocityPlaceholder","m/s","efficiencyLabel","Effizienz (%)","Nutzleistung (J)","Gesamteingang (J)",{"_3239":11997,"_11998":11999},"Leistungsrechner","efficiency","Effizienzrechner",{"_3239":8824,"_12001":12002,"_594":11912,"_3684":3685,"_12003":12004,"_11998":12005,"_12006":12007,"_12008":12009},"work","Arbeit (W)","velocity","Geschwindigkeit (v)","Effizienz (η)","usefulOutput","Nutzleistung","totalInput","Gesamteingang",{"_3239":8827,"_12011":12012,"_12013":12014,"_12001":12015,"_594":884,"_3684":3710,"_12003":12016,"_12017":12018,"_11998":12019,"_12006":12007,"_12008":12009,"_12020":12021},"kilowatts","Kilowatt","horsepower","Pferdestärke","Arbeit","Geschwindigkeit","energyFlow","Energiefluss-Diagramm","Effizienz","energyLost","Energieverlust",{"_87":88,"_59":12023,"_61":12024,"_12025":12026,"_11998":12019},"Eingang","Ausgang","loss","Verlust",{"_12028":12029,"_12011":12030,"_12013":12031},"watts","W","kW","PS",{"_12033":12034,"_12035":12036,"_12037":12038},"lifting","Hebearbeit","car","Automotor","motor","Elektromotor",{"_1046":12040},"Gib Werte ein, um Leistung oder Effizienz zu berechnen",{"_168":1192,"_3239":12042,"_11998":12043,"_12044":12045},"P = W/t = Fv","η = Nutzleistung / Gesamteingang","conversion","1 PS = 745,7 W",{"_168":12047,"_202":12048,"_1212":1213,"_1214":12049,"_1216":12050,"_1218":12051,"_4727":4826,"_4729":12052,"_4731":12053,"_4733":12054},"Über den Leistung & Effizienz Rechner","Berechne mechanische Leistung mithilfe von Arbeit-Zeit- oder Kraft-Geschwindigkeit-Beziehungen und bestimme Energieeffizienz für Systeme mit Energieeingabe und -ausgabe.","Leistung ist die Rate der Arbeitsverrichtung oder Energieübertragung","Effizienz misst, wie viel Eingangsenergie zu nützlicher Ausgangsenergie wird","Verlorene Energie wird typischerweise durch Reibung in Wärme umgewandelt","Maschinenbau - Motor- und Maschinenberechnungen","Elektrische Systeme - Analyse des Stromverbrauchs","Energieaudits - Effizienzverbesserungen","tools/prime-factorization-calculator",{"_168":12057,"_202":12058,"_964":12059,"_57":12065,"_2198":12084,"_139":12088,"_1007":12095,"_1190":12097,"_931":12103},"Primfaktorzerlegungs-Rechner","Finde Primfaktoren jeder ganzen Zahl mit Faktorbaum-Visualisierung",{"_12060":12061,"_12062":12063,"_2853":12064},"numberLabel","Gib eine Zahl ein","numberPlaceholder","z.B. 84","Gib eine ganze Zahl größer als 1 ein",{"_12066":12067,"_12068":12069,"_12070":12071,"_12072":12073,"_12074":12075,"_12076":12077,"_12078":12079,"_12080":12081,"_12082":12083},"prime","Diese Zahl ist eine Primzahl!","distinctPrimes","Verschiedene Primzahlen","totalPrimes","Primfaktoren gesamt","divisors","Teiler gesamt","sumOfDivisors","Summe der Teiler","factorTree","Faktorbaum","primeFactors","Primfaktoren","allDivisors","Alle Teiler","factorPairs","Faktorpaare",{"_12066":12085,"_12086":12087},"Primzahl","composite","Zusammengesetzt",{"_12086":12089,"_12066":12090,"_12091":12092,"_12093":12094},"360 (Zusammengesetzt)","97 (Primzahl)","powers","1000 (Potenzen)","primorial","2310 (Primorial)",{"_1046":12096},"Gib eine Zahl ≥ 2 ein, um ihre Primfaktorzerlegung zu finden",{"_168":12098,"_12099":12100,"_12101":12102},"Zahlentheorie","fundamental","Jede ganze Zahl > 1 hat eine eindeutige Primfaktorzerlegung","divisorCount","Anzahl der Teiler = Π(eᵢ + 1) für n = p₁^e₁ × p₂^e₂ × ...",{"_168":12104,"_202":12105,"_1212":1213,"_1214":12106,"_1216":12107,"_1218":12108,"_4727":4826,"_4729":12109,"_4731":12110,"_4733":12111},"Über den Primfaktorzerlegungs-Rechner","Finde die eindeutige Primfaktorzerlegung jeder positiven ganzen Zahl. Dieser Rechner zerlegt Zahlen in ihre Primfaktoren und zeigt eine Faktorbaum-Visualisierung.","Der Hauptsatz der Arithmetik: Jede ganze Zahl > 1 hat eine eindeutige Primfaktorzerlegung","Primzahlen haben genau zwei Teiler: 1 und sich selbst","Die Anzahl der Teiler kann aus der Primfaktorzerlegung berechnet werden","Kryptografie - RSA-Verschlüsselung basiert auf der Schwierigkeit der Primfaktorzerlegung","Mathematik - Finden von ggT, kgV und Teilbarkeit","Zahlentheorie-Forschung und Bildung","tools/prime-number-checker",{"_168":12114,"_202":12115,"_139":12116,"_964":12124,"_57":12126,"_931":12143},"Primzahl-Prüfer","Prüfe, ob eine Zahl eine Primzahl ist, finde ihre Primfaktorzerlegung und entdecke benachbarte Primzahlen",{"_12117":12118,"_12119":12120,"_12121":12090,"_12122":12123},"17prime","17 (Primzahl)","24composite","24 (zusammengesetzt)","97prime","100composite","100 (zusammengesetzt)",{"_8764":12061,"_2823":12125},"Gib eine positive ganze Zahl ein",{"_12127":12085,"_12128":12129,"_12130":12131,"_12132":12133,"_12134":12135,"_12136":12137,"_12078":12138,"_12139":12140,"_12141":12142},"primeNumber","compositeNumber","Zusammengesetzte Zahl","onlyDivisible","Nur durch 1 und sich selbst teilbar","divisibleByMore","Durch mehr als nur 1 und sich selbst teilbar","primeFactorization","Primfaktorzerlegung","equationFormat","{{number}} = {{factors}}","Primfaktoren: {{factors}}","previousPrime","Vorherige Primzahl","nextPrime","Nächste Primzahl",{"_168":12144,"_202":12145,"_12146":4223,"_4224":12147,"_4226":12148,"_4228":12149,"_12150":12151,"_12152":12153,"_12154":12155,"_12156":12157,"_12158":12135,"_12159":12160},"Was sind Primzahlen?","Eine Primzahl ist eine natürliche Zahl größer als 1, die keine positiven Teiler außer 1 und sich selbst hat. Primzahlen sind die Bausteine aller natürlichen Zahlen.","keyPropertiesTitle","Die einzige gerade Primzahl ist 2","Alle anderen Primzahlen sind ungerade Zahlen","1 ist weder Primzahl noch zusammengesetzt","property4","Jede natürliche Zahl kann als Produkt von Primzahlen ausgedrückt werden","property5","Es gibt unendlich viele Primzahlen (von Euklid bewiesen)","first10Title","Die ersten 10 Primzahlen","first10List","2, 3, 5, 7, 11, 13, 17, 19, 23, 29","primeFactorizationTitle","primeFactorizationDesc","Jede zusammengesetzte Zahl kann auf genau eine Weise als Produkt von Primzahlen ausgedrückt werden (Hauptsatz der Arithmetik). Zum Beispiel: 24 = 2 × 2 × 2 × 3","tools/privacy-policy-generator",{"_168":12163,"_202":12164,"_139":12165,"_964":12172,"_968":12191,"_1466":12194,"_931":12201},"Datenschutzerklärung-Generator","Generiere eine anpassbare Datenschutzerklärung für deine Website",{"_12166":12167,"_12168":12169,"_12170":12171},"ecommerceWebsite","E-Commerce-Website","saasPlatform","SaaS-Plattform","blogContentSite","Blog/Content-Website",{"_12173":12174,"_10746":7002,"_12175":12176,"_12177":12178,"_12179":12180,"_12181":12182,"_12183":12184,"_12185":12186,"_12187":12188,"_12189":12190},"companyWebsiteName","Firmen-/Websitename","websiteUrl","Website-URL","websiteUrlPlaceholder","https://deinewebsite.de","contactEmail","Kontakt-E-Mail","contactEmailPlaceholder","kontakt@deinewebsite.de","dataCollectionTypes","Datenerhebungstypen","personalInfo","Persönliche Informationen (Name, E-Mail usw.)","analyticsUsageData","Analyse- und Nutzungsdaten","cookiesTracking","Cookies und Tracking-Technologien",{"_12192":12193,"_1530":1531},"generatePrivacyPolicy","Datenschutzerklärung generieren",{"_12195":12196,"_12197":12198,"_12199":12200},"legalDisclaimer","Rechtlicher Hinweis: Dies ist keine Rechtsberatung. Lass diese Erklärung von einem qualifizierten Anwalt prüfen, bevor du sie auf deiner Website verwendest.","generatedPrivacyPolicy","Generierte Datenschutzerklärung","helperText","Du kannst die Erklärung oben vor dem Kopieren bearbeiten",{"_168":12202,"_202":12203,"_2631":2632,"_2633":12204,"_2635":12205,"_2637":12206,"_2639":12207,"_12208":12209},"Über Datenschutzerklärungen","Eine Datenschutzerklärung ist ein rechtliches Dokument, das erklärt, wie deine Website Besucherinformationen erfasst, verwendet, speichert und schützt. Sie ist in vielen Jurisdiktionen gesetzlich vorgeschrieben, insbesondere wenn du personenbezogene Daten von EU-Bürgern (DSGVO) oder kalifornischen Einwohnern (CCPA) erfasst.","Dieser Generator bietet nur eine Basisvorlage","Datenschutzgesetze variieren nach Land und Bundesland","Lass deine Datenschutzerklärung immer von einem Anwalt prüfen","Aktualisiere deine Erklärung, wenn sich deine Datenpraktiken ändern","note5","Mache deine Datenschutzerklärung auf deiner Website leicht zugänglich","tools/probability-simulator",{"_168":12212,"_202":12213,"_12214":12215,"_12216":12221,"_12217":12238,"_12219":12252,"_12279":12280,"_968":12284,"_931":12288},"Wahrscheinlichkeits-Simulator","Simuliere Münzwürfe, Würfelwürfe und Kartenziehen mit statistischer Analyse","tabs",{"_12216":3089,"_12217":12218,"_12219":12220},"coin","dice","Würfelwurf","cards","Kartenziehen",{"_3095":3107,"_3097":3108,"_12222":12223,"_12224":3103,"_12225":12226,"_55":56,"_1824":12227,"_12228":3107,"_12229":3108,"_12230":12231,"_12232":12233,"_12234":12235,"_12236":12237},"flipsLabel","Anzahl Würfe","flipButton","flipMultiple","{count} Mal werfen","Statistiken","headsCount","tailsCount","headsPercent","Kopf %","tailsPercent","Zahl %","streak","Aktuelle Serie","longestStreak","Längste Serie",{"_12239":12240,"_12241":12242,"_12243":12244,"_12245":12246,"_55":56,"_1683":1684,"_1824":12227,"_12247":12248,"_1968":1969,"_11264":12249,"_11272":12250,"_8701":12251},"diceLabel","Anzahl Würfel","sidesLabel","Seiten pro Würfel","rollButton","Würfeln","rollMultiple","{count} Mal würfeln","rolls","Würfe gesamt","Minimum","Maximum","Verteilung",{"_12253":12254,"_12255":12256,"_12257":12258,"_12259":12260,"_55":12261,"_2696":12262,"_12263":12264,"_1824":12227,"_12265":12266,"_12267":12268,"_12269":12270,"_12271":12272,"_12273":12274,"_12275":12276,"_12277":12278},"deckLabel","Kartentyp","drawLabel","Zu ziehende Karten","replaceLabel","Karten nach dem Ziehen zurücklegen","drawButton","Karten ziehen","Gezogene Karten","Verbleibende Karten","shuffleButton","Deck mischen","totalDrawn","Gezogen gesamt","suits","Gezogene Farben","hearts","Herz","diamonds","Karo","clubs","Kreuz","spades","Pik","joker","Joker","deckTypes",{"_2710":12281,"_12282":12283},"Standard 52-Karten-Deck","jokers","52 Karten + 2 Joker",{"_26":12285,"_12286":12287},"Statistiken zurücksetzen","simulate","Simulation starten",{"_168":12289,"_202":12290,"_1212":12291,"_1214":12292,"_1216":12293,"_1218":12294,"_1078":3394,"_1080":12295,"_1082":12296,"_1084":12297,"_1086":12298,"_1088":12299,"_1227":1228,"_947":12300,"_949":12301,"_951":12302},"Über den Wahrscheinlichkeits-Simulator","Erkunde Wahrscheinlichkeitskonzepte durch interaktive Simulationen. Führe Experimente mit Münzen, Würfeln und Karten durch, um zu sehen, wie theoretische Wahrscheinlichkeit mit tatsächlichen Ergebnissen verglichen wird.","Wahrscheinlichkeitskonzepte","Gesetz der großen Zahlen: Ergebnisse nähern sich erwarteter Wahrscheinlichkeit über viele Versuche an","Unabhängige Ereignisse: Jeder Wurf beeinflusst den nächsten nicht","Erwartungswert: Durchschnittsergebnis über viele Versuche","Wahrscheinlichkeit und Statistik lernen","Klassenzimmer-Demonstrationen","Spiel-Wahrscheinlichkeitsanalyse","Zufälligkeit verstehen","Zufallsergebnisse generieren","Führe viele Versuche durch, um Konvergenz zur erwarteten Wahrscheinlichkeit zu sehen","Vergleiche kurzfristige Ergebnisse mit langfristigen Trends","Nutze das Verteilungsdiagramm, um Würfelwurfmuster zu visualisieren","tools/profit-margin-calculator",{"_168":12305,"_202":12306,"_139":12307,"_964":12313,"_57":12327,"_931":12345,"_1007":12360},"Gewinnspannen-Rechner","Berechne Bruttogewinn, Nettogewinn, Aufschlag und Gewinnspannen-Prozentsätze",{"_12308":12309,"_2016":12310,"_12311":12312},"retailProduct","Einzelhandelsprodukt","Dienstleistungsunternehmen","highMargin","Hohe Marge",{"_12314":12315,"_12316":12317,"_12318":12319,"_12320":12321,"_12322":12323,"_12324":12325,"_5413":12326},"revenueSalesPrice","Umsatz / Verkaufspreis (€)","revenuePlaceholder","Umsatz oder Verkaufspreis eingeben","costOfGoodsSold","Herstellungskosten / COGS (€)","costPlaceholder","Kosten eingeben","operatingExpenses","Betriebskosten (€) - Optional","expensesPlaceholder","Betriebskosten eingeben","Leer lassen, wenn nur Bruttogewinn berechnet wird",{"_12328":12329,"_12330":12331,"_12332":12333,"_2047":12334,"_2537":8520,"_12335":12336,"_12337":12338,"_12339":12340,"_12341":12342,"_12343":12344},"grossProfit","Bruttogewinn","margin","Marge: {{margin}}","netProfit","Nettogewinn","Umsatz","markup","Aufschlag","understandingDifference","Den Unterschied verstehen","grossProfitMarginDesc","Bruttogewinnspanne: Rentabilität nach direkten Kosten (COGS)","netProfitMarginDesc","Nettogewinnspanne: Rentabilität nach allen Kosten inklusive Betriebsausgaben","markupDesc","Aufschlag: Wie viel du zu den Kosten addierst, um den Verkaufspreis zu bestimmen",{"_168":12346,"_202":12347,"_12348":3267,"_12328":12349,"_12350":12351,"_12332":12352,"_12353":12354,"_12335":12355,"_12356":12357,"_12358":12359},"Gewinnspannen verstehen","Die Gewinnspanne ist eine der wichtigsten Kennzahlen für jedes Unternehmen. Sie zeigt, wie viel Gewinn du für jeden Euro Umsatz machst. Höhere Margen bedeuten effizientere Betriebsabläufe und bessere Rentabilität.","keyFormulasTitle","Bruttogewinn: Umsatz - Herstellungskosten","grossMargin","Bruttomarge %: (Bruttogewinn / Umsatz) × 100","Nettogewinn: Bruttogewinn - Betriebskosten","netMargin","Nettomarge %: (Nettogewinn / Umsatz) × 100","Aufschlag %: ((Umsatz - Kosten) / Kosten) × 100","industryBenchmarksTitle","Branchen-Benchmarks","industryBenchmarksDesc","Typische Bruttomargen: Einzelhandel (20-40%), Software (70-90%), Restaurants (60-70%), Fertigung (25-35%). Deine Zielmarge hängt von deiner Branche und deinem Geschäftsmodell ab.",{"_452":12361},"Enter costs and revenue to calculate margin","tools/projectile-motion-calculator",{"_168":12364,"_202":12365,"_964":12366,"_57":12373,"_2198":12389,"_1153":12391,"_139":12394,"_1007":12401,"_1190":12403,"_931":12410},"Wurfbewegung-Rechner","Berechne Flugbahn, Reichweite und Flugzeit für Wurfbewegungsprobleme",{"_11988":12367,"_11990":12368,"_1239":12369,"_1241":12370,"_6742":12371,"_12372":7435,"_2228":2229,"_2230":2231},"Anfangsgeschwindigkeit (m/s)","z.B. 20","Abwurfwinkel (Grad)","0-90","Anfangshöhe (m)","heightPlaceholder",{"_168":58,"_11283":12374,"_12375":12376,"_12377":12378,"_12379":12380,"_12381":12382,"_12383":12384,"_12385":12386,"_12387":12388},"Reichweite","maxHeight","Max. Höhe","flightTime","Flugzeit","velocityComponents","Geschwindigkeitskomponenten","vx","Vx (horizontal)","vy","Vy (anfänglich vertikal)","timeToMax","Zeit bis max. Höhe","trajectory","Flugbahn-Animation",{"_11283":12374,"_11272":12390},"Max.",{"_2769":3765,"_3803":12392,"_12393":11991},"s","metersPerSecond",{"_12395":12396,"_12397":12398,"_12399":12400},"basketball","Basketball-Wurf","cannonball","Kanonenkugel","golf","Golf-Drive",{"_1046":12402},"Gib gültige Werte ein, um Wurfbewegung zu berechnen",{"_168":1192,"_12381":12404,"_12383":12405,"_2765":12406,"_2767":12407,"_12375":12408,"_11283":12409},"Vx = V₀ × cos(θ)","Vy = V₀ × sin(θ)","x = Vx × t","y = y₀ + Vy × t - ½gt²","Max. Höhe = y₀ + Vy² / (2g)","Reichweite = Vx × Gesamtzeit",{"_168":12411,"_202":12412,"_1212":1213,"_1214":12413,"_1216":12414,"_1218":12415,"_1220":12416,"_1078":1222,"_1080":12417,"_1082":12418,"_1084":12419,"_1086":12420,"_1227":1228,"_947":12421,"_949":12422,"_951":12423},"Über den Wurfbewegung-Rechner","Berechne die Flugbahn eines in einem Winkel geworfenen Projektils. Dieses Tool berechnet Reichweite, maximale Höhe, Flugzeit und Geschwindigkeitskomponenten mithilfe klassischer Mechanik-Gleichungen.","Horizontalgeschwindigkeit (Vx) bleibt während des gesamten Flugs konstant","Vertikalgeschwindigkeit (Vy) nimmt durch Schwerkraft bis zum Scheitelpunkt ab, dann nach unten zu","Maximale Reichweite tritt bei 45°-Abwurfwinkel auf (auf ebener Fläche)","Luftwiderstand wird in diesem idealen Modell vernachlässigt","Sportphysik (Basketball, Football, Golf)","Ingenieurballistik","Physik-Ausbildung und Hausaufgaben","Spieleentwicklung","Für maximale Reichweite auf ebener Fläche nutze 45°-Winkel","Anfangshöhe erhöht sowohl Reichweite als auch Flugzeit","Schaue die Animation an, um die parabolische Bahn zu visualisieren","tools/prompt-generator",{"_168":12426,"_202":12427,"_139":12428,"_964":12434,"_12444":12445,"_968":12454,"_57":12456,"_931":12458},"AI-Prompt-Generator","Generiere effektive Prompts für KI-Tools wie ChatGPT, Claude und Bildgeneratoren",{"_12429":10319,"_12430":12431,"_12432":12433},"blog","code","Code-Hilfe","image","KI-Bild",{"_1447":12435,"_12436":12437,"_12438":12439,"_12440":12441,"_12442":12443},"Prompt-Typ","topicLabel","Thema oder Gegenstand","topicPlaceholder","Wobei soll dir die KI helfen?","contextLabel","Zusätzlicher Kontext (Optional)","contextPlaceholder","Füge spezifische Anforderungen, Zielgruppe, Stilpräferenzen hinzu...","types",{"_817":12446,"_12447":12448,"_12432":12449,"_786":12450,"_2320":12451,"_12452":12453},"✍️ Schreiben & Inhalte","coding","💻 Programmierung & Entwicklung","🎨 Bildgenerierung","💼 Business & Strategie","🎭 Kreativ & Storytelling","learning","📚 Lernen & Bildung",{"_34":12455,"_20":21},"🚀 Prompt generieren",{"_168":12457},"Generierter Prompt",{"_168":12459,"_202":12460,"_1475":12461,"_12462":12463,"_12464":12465,"_12466":12467,"_12468":12469,"_12470":12471,"_12472":12473,"_12474":12475,"_12476":12477,"_12478":2435,"_12479":12480,"_12481":12482,"_12483":12484,"_1227":12485,"_947":12486,"_949":12487,"_951":12488},"So verwendest du den Prompt-Generator","Dieses Tool hilft dir, effektive, gut strukturierte Prompts für KI-Assistenten und Bildgeneratoren zu erstellen. Wähle einfach einen Typ, gib dein Thema ein und erhalte einen professionell erstellten Prompt.","Prompt-Typen","type1Label","Schreiben:","type1Desc","Blog-Artikel, Artikel, Essays und Inhaltserstellung","type2Label","Programmierung:","type2Desc","Programmierhilfe, Code-Review und technische Lösungen","type3Label","Bild:","type3Desc","Prompts für DALL-E, Midjourney, Stable Diffusion","type4Label","Business:","type4Desc","Strategie, Analysen, Vorschläge und professionelle Dokumente","type5Label","type5Desc","Geschichten, Konzepte, Brainstorming und fantasievolle Inhalte","type6Label","Lernen:","type6Desc","Bildungserklärungen, Tutorials und Lernleitfäden","Tipps für bessere Prompts","Sei spezifisch über dein Thema und gewünschtes Ergebnis","Füge Kontext über deine Zielgruppe oder deinen Anwendungsfall hinzu","Regeneriere mehrmals, um den perfekten Prompt zu finden","tools/punnett-square-calculator",{"_168":12491,"_202":12492,"_964":12493,"_1120":12517,"_57":12522,"_139":12531,"_1007":12537,"_931":12540},"Punnett-Quadrat-Rechner","Berechne genetische Kreuzungswahrscheinlichkeiten mit monohybriden und dihybriden Punnett-Quadraten",{"_1097":12494,"_12495":12496,"_12497":12498,"_12499":12500,"_12501":12502,"_12503":12498,"_12504":12500,"_12505":12506,"_12507":12508,"_12509":12510,"_12511":12512,"_12513":12514,"_12515":12516},"Kreuzungstyp","parent1Label","Elternteil 1 Genotyp","parent1PlaceholderMonohybrid","z.B. Bb","parent1PlaceholderDihybrid","z.B. BbRr","parent2Label","Elternteil 2 Genotyp","parent2PlaceholderMonohybrid","parent2PlaceholderDihybrid","dominantLabel","Dominantes Merkmal","dominantPlaceholder","z.B. Braune Augen","recessiveLabel","Rezessives Merkmal","recessivePlaceholder","z.B. Blaue Augen","dominant2Placeholder","z.B. Groß","recessive2Placeholder","z.B. Klein",{"_12518":12519,"_12520":12521},"monohybrid","Monohybrid (1 Merkmal)","dihybrid","Dihybrid (2 Merkmale)",{"_12523":12524,"_12525":12526,"_12527":12528,"_12529":12530},"genotypeRatios","Genotyp-Häufigkeiten","phenotypeRatios","Phänotyp-Häufigkeiten","genotypeRatio","Genotyp-Verhältnis","phenotypeRatio","Phänotyp-Verhältnis",{"_12532":12533,"_1354":12534,"_12535":12536},"eyes","Augenfarbe","Pflanzengröße","pea","Erbsenform & -farbe",{"_1046":12538,"_8780":12539},"Gib Elterngenotypen ein, um Punnett-Quadrat zu generieren","Gib gültige Genotypen ein (2 Buchstaben für monohybrid, 4 für dihybrid)",{"_168":12541,"_202":12542,"_12543":12544,"_12545":12546,"_12547":12548,"_12549":12550,"_1475":12551,"_1769":12552,"_1771":12553},"Über den Punnett-Quadrat-Rechner","Sage Nachkommen-Genotypen und -Phänotypen mithilfe von Punnett-Quadraten voraus. Dieses Tool unterstützt sowohl monohybride (einzelnes Merkmal) als auch dihybride (zwei Merkmale) Kreuzungen.","notationTitle","Genotyp-Notation","notation1","Großbuchstaben (B) repräsentieren dominante Allele","notation2","Kleinbuchstaben (b) repräsentieren rezessive Allele","notation3","Heterozygot (Bb) zeigt dominanten Phänotyp; homozygot rezessiv (bb) zeigt rezessiven Phänotyp","Kreuzungstypen","Monohybrid: Ein Merkmal (z.B. Bb × Bb) erzeugt ein 2×2-Raster","Dihybrid: Zwei Merkmale (z.B. BbRr × BbRr) erzeugt ein 4×4-Raster","tools/purchase-order-template",{"_168":12556,"_202":12557,"_968":12558,"_964":12564,"_12595":12596,"_931":12619},"Bestellformular-Vorlage","Erstelle und drucke professionelle Bestellformulare",{"_12559":12560,"_1670":12561,"_28":29,"_12562":12563},"loadSampleData","Beispieldaten laden","+ Position hinzufügen","printPurchaseOrder","🖨️ Bestellformular drucken",{"_12565":12566,"_12567":12568,"_1594":1595,"_12569":12570,"_7001":1597,"_10746":7002,"_2364":1599,"_12571":12572,"_2360":1611,"_12573":12574,"_376":377,"_12575":12576,"_12577":12578,"_12579":12580,"_12581":12582,"_12583":12584,"_12585":12586,"_12587":12588,"_12589":7253,"_12590":7029,"_12591":12592,"_12593":12594},"poNumber","Bestellnummer","poNumberPlaceholder","BE-001","fromYourCompany","Von (Deine Firma)","addressPlaceholder","Straße und Hausnummer","phonePlaceholder","(030) 123-4567","emailPlaceholder","deine@email.de","toVendor","An (Lieferant)","vendorName","Lieferantenname","vendorNamePlaceholder","Lieferanten-Firmenname","vendorEmailPlaceholder","lieferant@email.de","lineItems","Positionen","itemDescription","Artikelbeschreibung","qtyPlaceholder","pricePlaceholder","notesSpecialInstructions","Notizen / Besondere Anweisungen","notesPlaceholder","Füge besondere Anweisungen oder Notizen hinzu...","po",{"_226":12597,"_1378":12598,"_1677":12599,"_12600":7020,"_12601":12602,"_12603":12604,"_12605":12606,"_12607":12608,"_12609":12610,"_12614":12615,"_7033":7034,"_1683":12616,"_4033":12617,"_275":12618},"BESTELLFORMULAR","VON:","AN:","yourCompanyDefault","addressDefault","[Adresse]","vendorNameDefault","[Lieferantenname]","phoneLabel","Telefon: {{phone}}","emailLabel","E-Mail: {{email}}","tableHeaders",{"_7022":12611,"_202":1715,"_1716":7253,"_12612":12613,"_1683":1684},"#","unitPrice","Einzelpreis","emptyDescription","—","GESAMT:","Notizen:","Dies ist eine rechtsverbindliche Bestellung. Bitte bestätige den Erhalt und das voraussichtliche Lieferdatum.",{"_168":12620,"_12621":12622,"_12623":12624,"_12625":12626,"_12565":12627,"_12628":12629,"_12630":12631,"_12585":12632,"_1685":12633,"_7269":2451,"_2452":12634,"_2454":12635,"_2456":12636,"_2458":12637,"_2460":12638,"_2462":12639},"Bestellformulare verwenden","whatIsPOTitle","Was ist ein Bestellformular?","whatIsPODesc","Ein Bestellformular (Purchase Order, PO) ist ein kommerzielles Dokument, das von einem Käufer an einen Verkäufer ausgestellt wird und die Produkte, Mengen und vereinbarten Preise angibt. Es wird rechtsverbindlich, sobald es vom Lieferanten akzeptiert wird.","keyComponentsTitle","Wichtige Bestandteile","Bestellnummer: Eindeutige Kennung zur Nachverfolgung und Referenz","buyerInfo","Käuferinformationen: Deine Firmendetails","vendorInfo","Lieferanteninformationen: Lieferanten-/Verkäuferdetails","Positionen: Produkte/Dienstleistungen mit Mengen und Preisen","Bedingungen: Zahlungsbedingungen, Lieferdatum, Versandanweisungen","Nutze fortlaufende Bestellnummern zur einfachen Nachverfolgung","Sei spezifisch bei Artikelbeschreibungen und Spezifikationen","Füge Liefertermine und Versandanweisungen hinzu","Bewahre Kopien für deine Unterlagen und Buchhaltung auf","Hole Bestätigung vom Lieferanten ein, bevor du sie als endgültig betrachtest","Gleiche Bestellung mit Rechnungen ab, wenn Waren eingehen","tools/qr-code",{"_168":12642,"_202":12643,"_139":12644,"_964":12654,"_968":12658,"_1466":12663,"_931":12665},"QR-Code-Generator","Erstelle eigene QR-Codes für URLs, Text und mehr",{"_12175":12176,"_12645":12646,"_12647":2359,"_12648":12649,"_12650":12651,"_12652":12653},"websiteUrlText","https://www.beispiel.com","emailAddress","emailAddressText","mailto:hallo@beispiel.com","wifiNetwork","WLAN-Netzwerk","wifiNetworkText","WIFI:T:WPA;S:MeinNetzwerk;P:MeinPasswort;;",{"_12655":12656,"_2823":12657},"enterTextOrUrl","Text oder URL eingeben","https://example.com oder beliebiger Text",{"_12659":12660,"_12661":12662},"generateQrCode","QR-Code generieren","downloadQrCode","QR-Code herunterladen",{"_11676":12664},"Generierter QR-Code",{"_168":2493,"_12666":12667,"_12668":12669,"_12670":12671,"_12672":12673,"_12674":12675},"websiteUrls","• Website-URLs","wifiPasswords","• WLAN-Passwörter","contactInfo","• Kontaktinformationen (vCard)","productInfo","• Produktinformationen","eventDetails","• Veranstaltungsdetails","tools/quadratic-formula-calculator",{"_168":12678,"_202":12679,"_964":12680,"_57":12687,"_139":12708,"_1007":12716,"_1190":12718,"_931":12724},"Quadratische Formel Rechner","Löse quadratische Gleichungen ax² + bx + c = 0 mit Graph-Visualisierung",{"_12681":12682,"_12683":12684,"_12685":12686},"coeffA","a (x²-Koeffizient)","coeffB","b (x-Koeffizient)","coeffC","c (Konstante)",{"_12688":12689,"_12690":12691,"_12692":12693,"_12694":12695,"_4705":12696,"_12697":12698,"_12699":12700,"_12701":12702,"_12703":12704,"_12705":12706,"_10537":12707},"solutions","Lösungen (Nullstellen)","twoReal","Zwei verschiedene reelle Nullstellen","oneReal","Eine doppelte reelle Nullstelle","twoComplex","Zwei komplex konjugierte Nullstellen","Diskriminante (Δ)","vertex","Scheitelpunkt","axis","Symmetrieachse","yIntercept","y-Achsenabschnitt","opensUp","Parabel öffnet nach oben (Minimum)","opensDown","Parabel öffnet nach unten (Maximum)","Graph",{"_12709":12710,"_12711":12712,"_12713":12714,"_12705":12715},"twoRoots","Zwei reelle Nullstellen","oneRoot","Eine Nullstelle","complexRoots","Komplexe Nullstellen","Öffnet nach unten",{"_1046":12717},"Gib Koeffizienten ein, um die quadratische Gleichung zu lösen (a ≠ 0)",{"_168":12719,"_12720":12721,"_4705":12722,"_12697":12723},"Quadratische Formeln","quadratic","x = (-b ± √(b² - 4ac)) / 2a","Δ = b² - 4ac","Scheitelpunkt: (-b/2a, f(-b/2a))",{"_168":12725,"_202":12726,"_12727":12728,"_12729":12730,"_12731":12732,"_12733":12734,"_3046":12735,"_3899":12736,"_3901":12737,"_3903":12738},"Über den Quadratische Formel Rechner","Löse jede quadratische Gleichung mit der quadratischen Formel. Dieser Rechner findet sowohl reelle als auch komplexe Nullstellen und zeigt den Parabelgraphen mit wichtigen Merkmalen.","discriminantTitle","Diskriminanten-Fälle","disc1","Δ > 0: Zwei verschiedene reelle Nullstellen (Parabel schneidet x-Achse zweimal)","disc2","Δ = 0: Eine doppelte Nullstelle (Parabel berührt x-Achse einmal)","disc3","Δ < 0: Zwei komplex konjugierte Nullstellen (Parabel schneidet x-Achse nicht)","Parabel-Merkmale","Scheitelpunkt: Der Minimum- (a > 0) oder Maximum-Punkt (a < 0)","Symmetrieachse: Vertikale Linie durch den Scheitelpunkt","y-Achsenabschnitt: Wo die Parabel die y-Achse schneidet (x = 0)","tools/random-number-generator",{"_168":12741,"_202":12742,"_139":12743,"_964":12749,"_968":12756,"_57":12758,"_384":12760,"_931":12763},"Zufallszahlen-Generator","Generiere Zufallszahlen mit benutzerdefinierten Bereichen und Optionen",{"_12217":12744,"_12745":12746,"_12747":12748},"Würfelwurf (1-6)","five","5 Zahlen (1-100)","lottery","Lotto (1-49)",{"_11264":12750,"_11272":12751,"_1635":7253,"_12752":12753,"_12754":12755},"Minimalwert","Maximalwert","allowDecimals","Dezimalzahlen erlauben","uniqueOnly","Nur eindeutige Zahlen",{"_34":12757},"Zufallszahlen generieren",{"_168":12759},"Generierte Zahlen ({{count}})",{"_12761":12762},"tooMany","Kann nicht {{quantity}} eindeutige Zahlen im Bereich {{min}}-{{max}} generieren (nur {{range}} mögliche Werte)",{"_168":2840,"_879":12764,"_12765":12766,"_12767":12768,"_12769":12770,"_828":12771,"_12772":12773,"_1824":12774,"_3138":12775,"_799":12776,"_5210":12777},"Gaming:","gamingDesc","Generiere Würfelwürfe, Zufallsereignisse oder Loot-Drops","lotteryLabel","Lotto:","lotteryDesc","Wähle zufällige Lottozahlen oder Gewinner","Bildung:","educationDesc","Erstelle Übungsaufgaben oder Zufallsstichproben","Statistik:","Generiere Zufallsdaten zum Testen und Analysieren","Sicherheit:","Erstelle zufällige PINs oder Bestätigungscodes","tools/reaction-rate-calculator",{"_168":12780,"_202":12781,"_964":12782,"_12789":12790,"_57":12797,"_139":12805,"_1007":12812,"_1190":12814,"_931":12816},"Reaktionsgeschwindigkeit-Rechner","Berechne chemische Reaktionskinetik für Reaktionen nullter, erster und zweiter Ordnung",{"_12783":12784,"_12785":12786,"_12787":12788,"_2667":11987},"orderLabel","Reaktionsordnung","initialConcLabel","Anfangskonzentration [A]₀ (M)","rateConstantLabel","Geschwindigkeitskonstante (k)","orders",{"_12791":12792,"_12793":12794,"_12795":12796},"zero","Nullter Ordnung (Rate = k)","first","Erster Ordnung (Rate = k[A])","second","Zweiter Ordnung (Rate = k[A]²)",{"_4486":12798,"_5754":12799,"_3945":12800,"_12801":12788,"_12044":12802,"_5771":12803,"_2696":2697,"_10537":12804},"[A] zur Zeit t","Halbwertszeit (t½)","Rate zur Zeit t","rateConstant","Umwandlungsfortschritt","Anfänglich","Konzentration vs. Zeit",{"_12806":12807,"_12808":12809,"_12810":12811},"radioactive","Radioaktiver Zerfall","enzyme","Enzymsättigung","bimolecular","Bimolekular",{"_1046":12813},"Gib Werte ein, um Reaktionskinetik zu berechnen",{"_168":12815},"Integrierte Geschwindigkeitsgesetze",{"_168":12817,"_202":12818,"_12819":12820,"_12821":12822,"_12823":12824,"_12825":12826,"_12827":12828,"_12829":12830,"_12831":12832,"_12833":12834},"Über den Reaktionsgeschwindigkeit-Rechner","Berechne, wie sich die Reaktantenkonzentration im Laufe der Zeit für verschiedene Reaktionsordnungen ändert. Dieses Tool wendet integrierte Geschwindigkeitsgesetze an, um die Konzentration zu jeder Zeit und die Halbwertszeit zu bestimmen.","ordersTitle","Reaktionsordnungen","order0","Nullte Ordnung: Rate ist konstant unabhängig von der Konzentration (gesättigte Enzyme)","order1","Erste Ordnung: Rate ist proportional zu [A] (radioaktiver Zerfall, viele unimolekulare Reaktionen)","order2","Zweite Ordnung: Rate ist proportional zu [A]² (viele bimolekulare Reaktionen)","halfLifeTitle","Halbwertszeit-Charakteristiken","half0","Nullte Ordnung: t½ hängt von Anfangskonzentration ab (nimmt ab, wenn Reaktion fortschreitet)","half1","Erste Ordnung: t½ ist konstant (unabhängig von Konzentration)","half2","Zweite Ordnung: t½ nimmt zu, wenn Reaktion fortschreitet (umgekehrt proportional zu [A]₀)","tools/reading-time-calculator",{"_168":12837,"_202":12838,"_139":12839,"_964":12847,"_12852":12853,"_12854":12855,"_57":12865,"_505":12870,"_11867":12871,"_1048":12881,"_931":12882},"Lesezeit-Rechner","Schätze, wie lange es dauern wird, einen Text zu lesen",{"_12840":12841,"_12842":12843,"_5870":12844,"_12845":12846},"short","Kurzer Absatz","shortText","Franz jagt im komplett verwahrlosten Taxi quer durch Bayern. Dieses klassische Pangramm enthält alle Buchstaben des deutschen Alphabets und ist perfekt zum Testen von Schriftarten und Tastaturen. Es wird seit Jahrzehnten verwendet und ist heute noch beliebt für Tippübungen und Demonstrationen.","Mittellanger Artikel","mediumText","Lesen ist eine der wichtigsten Fähigkeiten, die wir entwickeln können. Durch Bücher und Texte greifen wir auf das angesammelte Wissen der Menschheit zu und erweitern unser Verständnis der Welt.\n\nRegelmäßiges Lesen verbessert unseren Wortschatz, erhöht unsere Konzentrationsfähigkeit und stärkt die neuronalen Verbindungen in unserem Gehirn. Darüber hinaus transportiert uns das Lesen in verschiedene Welten und ermöglicht es uns, Leben und Perspektiven zu erleben, die sich von unseren eigenen unterscheiden.\n\nOb Fiktion oder Sachbuch, jede Seite, die wir lesen, trägt zu unserem persönlichen Wachstum bei und macht uns zu kritischeren und einfühlsameren Denkern.",{"_1441":12848,"_2823":12849,"_12850":12851},"Füge deinen Text hier ein","Füge den Text ein oder tippe ihn, den du analysieren möchtest...","speedLabel","Lesegeschwindigkeit:","wpm","WpM","levels",{"_12856":12857,"_12858":12859,"_1968":1969,"_12860":12861,"_303":12862,"_12863":12864},"slow","Langsam","belowAverage","Unterdurchschnittlich","aboveAverage","Überdurchschnittlich","Schnell","speedReader","Schnellleser",{"_12866":12867,"_3803":12868,"_3801":12869},"estimatedTime","Geschätzte Lesezeit","({{seconds}} Sekunden)","({{minutes}} Minuten)",{"_2828":2829,"_1538":1539,"_2830":2831,"_2832":2833},{"_168":12872,"_12873":12874,"_12875":12876,"_12877":12878,"_12879":12880},"Zusätzliche Schätzungen","speakingTime","Sprechzeit (150 WpM):","slowReading","Langsames Lesen (100 WpM):","fastReading","Schnelles Lesen (300 WpM):","charactersNoSpaces","Zeichen (ohne Leerzeichen):","Füge Text oben ein oder tippe ihn, um Lesezeit zu berechnen",{"_168":12883,"_12884":12885,"_12886":12887,"_12888":12889,"_12890":12891,"_12892":12893,"_12894":12895,"_12896":12897,"_12898":12899,"_12900":12901,"_12902":12903,"_12904":12905,"_12906":12907,"_12908":12909,"_12910":12911,"_12912":12913,"_12914":12915,"_12916":7742,"_12917":12918,"_12919":12920,"_12921":12922,"_12923":12924,"_12925":12926,"_12927":12928,"_12929":12930,"_1078":2493,"_1080":12931,"_1082":12932,"_1084":12933,"_1086":12934,"_1088":12935},"Über Lesezeit","speedsTitle","Durchschnittliche Lesegeschwindigkeiten","elementary","Grundschule:","elementarySpeed","80-120 Wörter pro Minute","middleSchool","Mittelstufe:","middleSchoolSpeed","120-180 Wörter pro Minute","highSchool","Oberstufe:","highSchoolSpeed","180-240 Wörter pro Minute","college","Studierende:","collegeSpeed","200-300 Wörter pro Minute","adult","Durchschnittlicher Erwachsener:","adultSpeed","200-250 Wörter pro Minute","speedReaders","Schnellleser:","speedReadersSpeed","300-700+ Wörter pro Minute","factorsTitle","Faktoren, die Lesegeschwindigkeit beeinflussen","factor1Label","Text-Schwierigkeit:","factor1Text","Technischer oder komplexer Text wird langsamer gelesen","factor2Label","factor2Text","Überfliegen ist schneller als gründliches Studieren","factor3Label","Vertrautheit:","factor3Text","Themen, die du gut kennst, liest du schneller","factor4Label","Schrift und Formatierung:","factor4Text","Klare Typografie verbessert die Geschwindigkeit","factor5Label","Ablenkungen:","factor5Text","Ruhige Umgebung ermöglicht schnelleres Lesen","Schätze die benötigte Zeit zum Lesen von Artikeln oder Blog-Posts","Plane Lernzeit für Lehrbücher und Aufgaben","Berechne Lesezeit für Präsentationen oder Reden","Setze realistische Ziele fürs Bücherlesen","Füge \"X Min. Lesezeit\"-Labels zu Blog-Posts hinzu","tools/receipt-maker",{"_168":12938,"_202":12939,"_139":12940,"_964":12979,"_12989":12990,"_13000":13001,"_968":13020,"_931":13024},"Quittungs-Generator","Erstelle professionelle Quittungen mit automatischer Steuerberechnung",{"_12941":12942,"_12943":12944,"_12945":12946,"_12947":12948,"_12949":12950,"_12951":12952,"_12953":12954,"_12955":12956,"_12957":12958,"_12959":12960,"_12961":12962,"_12963":12964,"_12965":12966,"_12967":12968,"_12969":12970,"_12971":12972,"_12973":12974,"_12975":12976,"_12977":12978},"retailPurchase","Einzelhandelskauf","retailPurchaseBusinessName","Mode Boutique","retailPurchaseBusinessAddress","Einkaufsallee 456, Berlin, 10115","retailPurchaseItem1","Blaues Baumwoll-T-Shirt","retailPurchaseItem2","Jeans","retailPurchaseItem3","Ledergürtel","serviceReceipt","Dienstleistungsquittung","serviceReceiptBusinessName","SchnellFix Auto Werkstatt","serviceReceiptBusinessAddress","Mechanikerstraße 789, München, 80331","serviceReceiptItem1","Ölwechsel","serviceReceiptItem2","Reifenwechsel","serviceReceiptItem3","Bremseninspektion","restaurantBill","Restaurantrechnung","restaurantBillBusinessName","Das Gartencafé","restaurantBillBusinessAddress","Hauptstraße 123, Hamburg, 20095","restaurantBillItem1","Caesar-Salat","restaurantBillItem2","Gegrillter Lachs","restaurantBillItem3","Eistee","restaurantBillItem4","Käsekuchen",{"_8641":1597,"_12980":7002,"_12981":10748,"_12982":12983,"_12984":12985,"_12986":12987,"_5415":5416,"_12988":10778},"businessNamePlaceholder","businessAddress","businessAddressPlaceholder","Musterstraße 123, Musterstadt","receiptDate","Quittungsdatum","paymentMethod","Zahlungsmethode","taxRatePlaceholder","paymentMethods",{"_12991":12992,"_12993":12994,"_12995":12996,"_189":12997,"_12998":12999},"cash","Bargeld","creditCard","Kreditkarte","debitCard","EC-Karte","Scheck","mobilePayment","Mobile Zahlung","receipt",{"_13002":13003,"_13004":13005,"_13006":13007,"_1659":13008,"_13009":7025,"_12609":13010,"_13014":12588,"_7033":7034,"_7035":13015,"_1683":7037,"_13016":13017,"_13018":13019},"businessNameDefault","[Firmenname]","businessAddressDefault","[Firmenadresse]","receiptHeader","QUITTUNG","Datum: {{date}}","dateDefault",{"_13011":13012,"_13013":7029},"item","Artikel","price","itemDescriptionPlaceholder","Steuer ({{rate}}%):","paymentMethodLabel","Zahlungsmethode: {{method}}","thankYou","Vielen Dank für Ihren Einkauf!",{"_1670":13021,"_13022":13023},"Artikel hinzufügen","printReceipt","Quittung drucken",{"_168":13025,"_202":13026,"_1227":1228,"_947":13027,"_949":13028,"_951":13029,"_1419":13030},"So verwendest du den Quittungs-Generator","Fülle deine Firmendetails aus, füge gekaufte Artikel mit Preisen hinzu und lege den Steuersatz fest, falls zutreffend. Die Gesamtsumme wird automatisch berechnet. Klicke auf Drucken, um eine physische Quittung zu erstellen oder als PDF zu speichern.","Bewahre Quittungskopien für Steuer- und Buchhaltungszwecke auf","Überprüfe alle Preise und Berechnungen vor dem Drucken","Nutze konsistente Firmeninformationen auf allen Quittungen","Erwäge das Hinzufügen einer Quittungsnummer zur Nachverfolgung","tools/refund-policy-generator",{"_168":13033,"_202":13034,"_139":13035,"_964":13042,"_13054":13055,"_968":13062,"_1466":13065,"_931":13070},"Rückerstattungsrichtlinien-Generator","Generiere eine professionelle Rückerstattungsrichtlinie für deinen Geschäftstyp",{"_13036":13037,"_13038":13039,"_13040":13041},"onlineStore30day","Online-Shop (30-Tage)","digitalProductsNoRefunds","Digitale Produkte (Keine Rückerstattung)","servicesPartialRefunds","Dienstleistungen (Teilrückerstattung)",{"_13043":13044,"_10746":7002,"_13045":13046,"_13047":13048,"_13049":13050,"_13051":13052,"_12179":12180,"_12181":13053},"companyBusinessName","Firmen-/Geschäftsname","businessType","Geschäftstyp","refundWindowDays","Rückerstattungsfrist (Tage)","refundWindowPlaceholder","30","refundWindowHelper","Anzahl der Tage, die Kunden haben, um eine Rückerstattung anzufordern","support@deinefirma.de","businessTypes",{"_13056":13057,"_13058":13059,"_13060":13061},"ecommerce","E-Commerce / Physische Produkte","digital","Digitale Produkte / Downloads","service","Dienstleistungen / Abonnements",{"_13063":13064,"_1530":1531},"generateRefundPolicy","Rückerstattungsrichtlinie generieren",{"_12195":13066,"_13067":13068,"_12199":13069},"Rechtlicher Hinweis: Dies ist keine Rechtsberatung. Konsultiere einen qualifizierten Anwalt, um sicherzustellen, dass deine Rückerstattungsrichtlinie den Verbraucherschutzgesetzen entspricht.","generatedRefundPolicy","Generierte Rückerstattungsrichtlinie","Du kannst die Richtlinie oben vor dem Kopieren bearbeiten",{"_168":13071,"_202":13072,"_13073":13074,"_13075":13076,"_13077":13078,"_13079":13080,"_13081":13082,"_13083":13084,"_13085":13086,"_13087":13088},"Über Rückerstattungsrichtlinien","Eine Rückerstattungsrichtlinie legt Kundenerwartungen bezüglich Rücksendungen, Umtausch und Rückerstattungen fest. Eine klare Richtlinie hilft, Streitigkeiten zu vermeiden und schafft Kundenvertrauen. In einigen Rechtsräumen sind Rückerstattungsrichtlinien gesetzlich vorgeschrieben.","importantConsiderationsTitle","Wichtige Überlegungen","consideration1","Verbraucherschutzgesetze variieren nach Land und Bundesland","consideration2","Einige Regionen schreiben Mindestrückgabefristen vor (z.B. EU: 14 Tage)","consideration3","Sei klar darüber, wer die Rücksendekosten trägt","consideration4","Spezifiziere Bedingungen für berechtigte Rücksendungen","consideration5","Überlege, wie defekte oder beschädigte Artikel zu handhaben sind","consideration6","Aktualisiere deine Richtlinie, wenn sich dein Geschäftsmodell ändert","consideration7","Mache deine Rückerstattungsrichtlinie auf deiner Website leicht auffindbar","tools/regex-tester",{"_168":13091,"_202":13092,"_139":13093,"_964":13106,"_13115":13116,"_57":13123,"_553":13133,"_931":13140},"Regex-Tester","Teste und debugge deine regulären Ausdrücke",{"_13094":13095,"_13096":13097,"_13098":13099,"_13100":13101,"_13102":13103,"_13104":13105},"emailAddresses","E-Mail-Adressen","emailAddressesText","Kontaktieren Sie uns: support@beispiel.com oder verkauf@firma.org","phoneNumbers","Telefonnummern","phoneNumbersText","Telefonnummern: 555-123-4567 und 555-987-6543","captureGroups","Erfassungsgruppen","captureGroupsText","Hans Müller\nAnna Schmidt\nPeter Wagner",{"_13107":13108,"_13109":13110,"_13111":13112,"_13113":13114},"pattern","Regulärer Ausdruck (Pattern)","patternPlaceholder","Gib Regex-Pattern ein (z.B. \\d+, [A-Z]\\w+)","testText","Testtext","testTextPlaceholder","Gib Text ein, um ihn gegen den Regex zu testen...","flags",{"_13117":13118,"_13119":13120,"_13121":13122},"global","Global (g)","caseInsensitive","Groß-/Kleinschreibung ignorieren (i)","multiline","Mehrzeilig (m)",{"_143":13124,"_13125":13126,"_13127":13128,"_13129":13130,"_13131":13132},"Fehler: {{message}}","matchesFound","{{count}} Übereinstimmung gefunden","matchesFound_other","{{count}} Übereinstimmungen gefunden","highlightedMatches","Hervorgehobene Übereinstimmungen","matchDetails","Übereinstimmungs-Details",{"_7022":12611,"_13134":13135,"_13136":13137,"_13102":13103,"_13138":13139},"match","Übereinstimmung","index","Index","noGroups","-",{"_168":13141,"_202":13142,"_3046":3047,"_13143":13144,"_13145":13146,"_13102":13147,"_13148":13149},"So verwendest du den Regex-Tester","Gib ein reguläres Ausdrucksmuster ein, wähle Flags und teste es gegen deinen Text. Sieh Übereinstimmungen in Echtzeit hervorgehoben mit detaillierten Informationen über jede Übereinstimmung und Erfassungsgruppen.","liveHighlighting","Live-Hervorhebung: Sieh Übereinstimmungen gelb hervorgehoben","regexFlags","Regex-Flags: Unterstützung für global (g), Groß-/Kleinschreibung ignorieren (i) und mehrzeilig (m)","Erfassungsgruppen: Zeige erfasste Gruppen für jede Übereinstimmung an","errorMessages","Fehlermeldungen: Klares Feedback zu ungültigen Regex-Mustern","tools/relative-velocity-calculator",{"_168":13152,"_202":13153,"_964":13154,"_13165":13166,"_57":13171,"_139":13182,"_1190":13189,"_931":13194},"Relativgeschwindigkeit-Rechner","Berechne Relativgeschwindigkeit zwischen zwei sich bewegenden Objekten mit Vektorvisualisierung",{"_13155":13156,"_13157":13158,"_13159":13160,"_13161":13162,"_13163":13164},"directionLabel","Richtungs-Voreinstellung","speedALabel","Geschwindigkeit von A (m/s)","angleALabel","Winkel von A (°)","speedBLabel","Geschwindigkeit von B (m/s)","angleBLabel","Winkel von B (°)","directions",{"_3736":13167,"_3734":13168,"_6868":13169,"_2215":13170},"Gleiche Richtung","Entgegengesetzte Richtungen","Senkrecht","Benutzerdefinierte Winkel",{"_13172":13173,"_13174":13175,"_1261":1262,"_4871":13176,"_3572":13177,"_13178":13179,"_13180":13181},"vAB","Geschwindigkeit von A relativ zu B","vBA","Geschwindigkeit von B relativ zu A","Vektordiagramm","Physikalische Bedeutung","explanationA","Aus Bs Perspektive bewegt sich A mit","explanationB","Aus As Perspektive bewegt sich B mit",{"_13183":13184,"_13185":13186,"_13187":13188},"cars","Autos auf Autobahn","trains","Vorbeifahrende Züge","plane","Seitenwind-Flug",{"_168":13190,"_13172":13191,"_13174":13192,"_3251":13193},"Relativgeschwindigkeit-Formeln","vA/B = vA - vB (Geschwindigkeit von A relativ zu B)","vB/A = vB - vA (Geschwindigkeit von B relativ zu A)","|v| = √(vx² + vy²)",{"_168":13195,"_202":13196,"_1212":1213,"_1214":13197,"_1216":13198,"_1218":13199,"_4727":4826,"_4729":13200,"_4731":13201,"_4733":13202},"Über den Relativgeschwindigkeit-Rechner","Berechne, wie schnell ein Objekt sich aus der Perspektive eines anderen sich bewegenden Objekts zu bewegen scheint. Dies verwendet Vektorsubtraktion, um Relativgeschwindigkeiten zu finden.","Relativgeschwindigkeit ist die Geschwindigkeit eines Objekts, wie sie von einem anderen sich bewegenden Objekt beobachtet wird","vA/B = vA - vB (Vektorsubtraktion)","Die Beträge von vA/B und vB/A sind gleich, aber die Richtungen sind entgegengesetzt","Luftfahrt - Berechnung der Bodengeschwindigkeit mit Wind","Seefahrt-Navigation - Strömungen und Bootsgeschwindigkeiten","Verkehrsanalyse - Relativbewegung zwischen Fahrzeugen","tools/remove-duplicates",{"_168":13205,"_202":13206,"_139":13207,"_964":13214,"_13220":13221,"_1532":13225,"_968":13228,"_505":13229,"_931":13235},"Duplikate entfernen","Entferne doppelte Zeilen aus deinem Text",{"_13208":13209,"_13210":13211,"_13212":13213},"removeDuplicatesKeepFirst","Duplikate entfernen (Erste behalten)","caseSensitive","Groß-/Kleinschreibung beachten","keepLastOccurrence","Letztes Vorkommen behalten",{"_13215":13216,"_2823":13217,"_13218":13219,"_13210":13211},"textWithDuplicates","Text mit Duplikaten","Gib Text ein, ein Element pro Zeile...","keepOccurrence","Vorkommen behalten","keepOptions",{"_13222":13223,"_13224":13213},"keepFirst","Erstes Vorkommen behalten","keepLast",{"_13226":13227},"deduplicatedText","Text ohne Duplikate",{"_20":21},{"_13230":13231,"_13232":13233,"_4365":13234},"originalLines","Originalzeilen: {{count}}","uniqueLines","Eindeutige Zeilen: {{count}}","Entfernt: {{count}} Duplikate",{"_168":13236,"_202":13237,"_3046":3047,"_13238":13239,"_13240":13241,"_1824":13242,"_13243":13244},"So verwendest du Duplikate entfernen","Füge deinen Text ein oder tippe ihn (ein Element pro Zeile) und entferne sofort doppelte Zeilen. Wähle, ob du das erste oder letzte Vorkommen jedes Duplikats behalten möchtest, und steuere die Groß-/Kleinschreibung.","keepFirstLast","Erste/Letzte behalten: Wähle, welches Vorkommen beibehalten werden soll","caseSensitiveOption","Groß-/Kleinschreibung beachten: Option, um \"Apfel\" und \"apfel\" als verschieden zu behandeln","Statistiken: Sieh Originalanzahl, eindeutige Anzahl und entfernte Anzahl","preservesOrder","Erhält Reihenfolge: Behält die Reihenfolge der ersten/letzten Vorkommen bei","tools/remove-line-breaks",{"_168":13247,"_202":13248,"_139":13249,"_964":13254,"_1120":13260,"_968":13277,"_505":13280,"_57":13282,"_931":13285},"Zeilenumbrüche entfernen","Bereinige Text durch Entfernen unerwünschter Zeilenumbrüche und Leerzeichen",{"_13250":13251,"_13252":13253,"_2832":2833},"multipleLines","Mehrere Zeilen","extraSpaces","Extra Leerzeichen",{"_1097":13255,"_7104":5989,"_13256":13257,"_7106":13258,"_7107":13259},"Bereinigungsmodus wählen","inputPlaceholder","Füge deinen Text hier ein...","Bereinigter Output","Bereinigter Text erscheint hier...",{"_13261":13262,"_13263":13264,"_13265":13266,"_13267":13268,"_13269":13270,"_13271":13272,"_13273":13274,"_13275":13276},"allTitle","Alle Zeilenumbrüche entfernen","allDesc","In einzelne Zeile konvertieren, extra Leerzeichen bereinigen","paragraphsTitle","Absätze behalten","paragraphsDesc","Einzelne Zeilenumbrüche entfernen, doppelte behalten (Absätze)","extraSpacesTitle","Extra Leerzeichen entfernen","extraSpacesDesc","Zeilenumbrüche behalten, mehrfache Leerzeichen entfernen","allSpacesTitle","Alle Leerzeichen entfernen","allSpacesDesc","Leerzeichen entfernen, Zeilenumbrüche behalten",{"_13278":13279,"_7102":6216},"clean","Text bereinigen",{"_59":13281,"_61":13281},"{{chars}} Zeichen, {{lines}} Zeilen",{"_5141":13283,"_505":13284},"Text erfolgreich bereinigt","Reduziert von {{from}} auf {{to}} Zeichen ({{sign}}{{diff}} Zeichen)",{"_168":2840,"_13286":13287,"_13288":13289,"_13290":13291,"_13292":13293,"_13294":13295,"_13296":13297,"_13298":13299,"_13300":13301,"_13302":13303,"_13304":13305},"use1Title","Kopierter Text","use1Desc","Bereinige Text, der aus PDFs oder Websites mit unerwünschten Zeilenumbrüchen kopiert wurde","use2Title","E-Mail-Formatierung","use2Desc","Entferne Formatierungsprobleme aus weitergeleiteten E-Mails","use3Title","Code-Kommentare","use3Desc","Formatiere mehrzeilige Kommentare in einzelne Zeilen","use4Title","Social Media","use4Desc","Bereite Text für Plattformen mit Zeichenbegrenzung vor","use5Title","Datenbereinigung","use5Desc","Bereite Textdaten für Datenbanken oder CSV-Dateien vor","tools/resistor-circuits-calculator",{"_168":13308,"_202":13309,"_964":13310,"_12444":13319,"_57":13323,"_553":13330,"_139":13336,"_1007":13340,"_1190":13342,"_931":13354},"Widerstandsschaltungs-Rechner","Berechne Ersatzwiderstand, Strom und Leistung für Serien- und Parallelwiderstands-Schaltungen",{"_1447":13311,"_8812":2662,"_13312":13313,"_2853":13314,"_159":13315,"_2665":13316,"_13317":13318},"Schaltungstyp","resistorsLabel","Widerstandswerte (Ω)","Gib Widerstandswerte durch Kommas getrennt ein","Widerstände erkannt","12","resistorsPlaceholder","100, 200, 300",{"_13320":13321,"_6849":13322},"series","Serienschaltung","Parallelschaltung",{"_13324":13325,"_2692":13326,"_3239":13327,"_4871":13328,"_191":13329},"equivalent","Ersatzwiderstand","Gesamtstrom","Gesamtleistung","Schaltplan","Einzelwiderstand-Analyse",{"_13331":8826,"_8822":13332,"_2692":13333,"_2690":13334,"_3239":13335},"resistor","R (Ω)","I (A)","V (V)","P (W)",{"_13320":13337,"_6849":13338,"_2690":13339},"Serien-LEDs","Parallellast","Spannungsteiler",{"_1046":13341},"Gib Widerstandswerte und Spannung ein, um die Schaltung zu analysieren",{"_168":13343,"_13320":13344,"_6849":13349,"_3239":13353},"Schaltungsformeln",{"_13345":13346,"_2692":13347,"_2690":13348},"eq","R_ges = R₁ + R₂ + R₃ + ...","I_gesamt = V / R_ges (gleicher Strom durch alle)","V_n = I × R_n",{"_13345":13350,"_2690":13351,"_2692":13352},"1/R_ges = 1/R₁ + 1/R₂ + 1/R₃ + ...","V an jedem = V_quelle (gleiche Spannung)","I_n = V / R_n","P = I² × R = V² / R = V × I",{"_168":13355,"_202":13356,"_13357":13358,"_13359":13360,"_13361":13362,"_13363":13364,"_13365":13366,"_13367":13368,"_13369":13370,"_13371":13372},"Über den Widerstandsschaltungs-Rechner","Analysiere Widerstandsnetzwerke in Serien- oder Parallelkonfigurationen. Berechne Ersatzwiderstand, Stromverteilung, Spannungsabfälle und Leistungsverlust.","seriesTitle","Serienschaltungen","series1","Strom ist durch alle Widerstände gleich","series2","Spannungen addieren sich zur Quellenspannung (Spannungsteiler)","series3","R_ges ist die Summe aller Widerstände","parallelTitle","Parallelschaltungen","parallel1","Spannung ist an allen Widerständen gleich","parallel2","Ströme addieren sich zum Gesamtstrom (Stromteiler)","parallel3","R_ges ist immer kleiner als der kleinste Widerstand","tools/riemann-sum-calculator",{"_168":13375,"_202":13376,"_964":13377,"_13394":13395,"_57":13404,"_553":13416,"_139":13421,"_13392":13428,"_384":13438,"_1007":13443,"_1190":13445,"_931":13451},"Riemann-Summen-Rechner","Approximiere bestimmte Integrale mit linken, rechten, Mittelpunkt- und Trapez-Riemann-Summen",{"_4134":13378,"_4136":13379,"_7425":7426,"_13380":13381,"_13382":10778,"_13383":13384,"_13385":13386,"_13387":13388,"_13389":13390,"_11983":13391,"_13392":13393},"Integrand f(x)","z.B. x^2, sin(x), e^x","lowerLabel","Untere Grenze (a)","lowerPlaceholder","upperLabel","Obere Grenze (b)","upperPlaceholder","1","intervalsLabel","Teilintervalle (n)","intervalsPlaceholder","10","Methode","commonIntegrals","Häufige Integrale","methods",{"_13396":13397,"_13398":13399,"_13400":13401,"_13402":13403},"left","Linke Riemann","right","Rechte Riemann","midpoint","Mittelpunkt","trapezoidal","Trapez",{"_13405":13406,"_13407":13408,"_13409":13410,"_13411":13412,"_1151":1152,"_11334":13413,"_13414":13415},"integralFrom","∫ {{expression}} dx von {{lower}} bis {{upper}}","approximatelyEquals","≈","deltaXEquals","Δx =","withN","Riemann-Summe mit","Methoden-Vergleich","rectangles","Rechteck-Details",{"_13417":13418,"_1528":13419,"_1354":1355,"_6029":13420},"interval","Intervall","Stichprobe x","Fläche",{"_13422":13423,"_13424":13425,"_13426":13427},"xSquared","x² von 0 bis 1","sinx","sin(x) von 0 bis π","exp","eˣ von 0 bis 1",{"_13422":13429,"_13424":13430,"_13426":13431,"_13432":13433,"_13434":13435,"_13436":13437},"∫ x² dx","∫ sin(x) dx","∫ eˣ dx","oneOverX","∫ 1/x dx","sqrtX","∫ √x dx","xCubed","∫ x³ dx",{"_13439":13440,"_13441":13442,"_7422":7474},"bounds","Untere Grenze muss kleiner als obere Grenze sein","intervals","Anzahl der Intervalle muss mindestens 1 sein",{"_1046":13444},"Gib eine Funktion und Grenzen ein, um die Riemann-Summe zu berechnen",{"_168":13446,"_13447":13448,"_13449":13450},"Riemann-Summen-Formel","riemann","Σ f(xᵢ*) × Δx","deltaX","Δx = (b - a) / n",{"_168":13452,"_202":13453,"_13454":13455,"_13456":13457,"_13458":13459,"_13460":13461,"_13462":13463,"_13464":13465},"Über den Riemann-Summen-Rechner","Approximiere die Fläche unter einer Kurve, indem du sie in Rechtecke unterteilst. Je mehr Teilintervalle, desto näher kommt die Approximation dem exakten Integral.","methodsTitle","Riemann-Methoden","method1","Links: Verwendet den linken Endpunkt jedes Teilintervalls","method2","Rechts: Verwendet den rechten Endpunkt jedes Teilintervalls","method3","Mittelpunkt: Verwendet den Mittelpunkt (genaueste Rechteck-Methode)","method4","Trapez: Verwendet Trapeze statt Rechtecke","convergence","Für n → ∞ konvergiert die Riemann-Summe gegen das bestimmte Integral.","tools/robots-txt-generator",{"_168":13468,"_202":13469,"_139":13470,"_964":13475,"_61":13499,"_3110":13501,"_931":13504},"Robots.txt-Generator","Generiere robots.txt-Datei für deine Website",{"_2710":13471,"_13056":13472,"_13473":13474},"Standard-Website","E-Commerce","allowAll","Alles erlauben",{"_13476":13477,"_13478":13479,"_13480":13481,"_13482":13483,"_13484":13485,"_13486":13487,"_13488":13489,"_13490":13491,"_13492":10778,"_13493":13494,"_13495":13496,"_13497":13498},"userAgent","User-agent","userAgentPlaceholder","*","userAgentHelper","Nutze * für alle Crawler oder gib spezifisch an wie Googlebot","allowPaths","Erlaubte Pfade (einer pro Zeile)","allowPathsPlaceholder","/public/\n/images/","disallowPaths","Verbotene Pfade (einer pro Zeile)","disallowPathsPlaceholder","/admin/\n/private/\n/tmp/","crawlDelay","Crawl-Verzögerung (Sekunden)","crawlDelayPlaceholder","crawlDelayHelper","Leer lassen für keine Verzögerung","sitemapUrl","Sitemap-URL","sitemapUrlPlaceholder","https://example.com/sitemap.xml",{"_168":13500,"_20":21},"Generierte robots.txt",{"_1304":13502,"_170":13503},"So verwendest du sie","Speichere diesen Inhalt als robots.txt und lade sie in das Hauptverzeichnis deiner Website hoch (z.B. https://example.com/robots.txt).",{"_168":13505,"_1054":13506,"_13507":13508,"_13509":13510,"_13511":13477,"_13512":13513,"_13514":13515,"_13516":13517,"_13518":13519,"_13520":13521,"_13522":13523,"_13524":13525,"_13526":13527,"_13528":13529,"_4033":2632,"_2633":13530,"_2635":13531,"_2637":13532},"Robots.txt verstehen","Was ist robots.txt?","whatIsText","Eine robots.txt-Datei teilt Suchmaschinen-Crawlern mit, welche Seiten sie von deiner Website anfordern dürfen oder nicht. Es ist ein Standard, den Websites verwenden, um mit Web-Crawlern zu kommunizieren.","directivesTitle","Häufige Anweisungen","userAgentLabel","userAgentText","Gibt an, für welchen Crawler die Regeln gelten","allowLabel","Allow","allowText","Erlaubt Crawlen spezifischer Pfade","disallowLabel","Disallow","disallowText","Blockiert Crawlen spezifischer Pfade","sitemapLabel","Sitemap","sitemapText","Verweist auf deine XML-Sitemap","crawlDelayLabel","Crawl-delay","crawlDelayText","Setzt Verzögerung zwischen Anfragen (nicht alle Bots respektieren dies)","robots.txt ist öffentlich zugänglich - verstecke hier keine sensiblen URLs","Es ist eine Anweisung, keine Durchsetzung - bösartige Bots können sie ignorieren","Füge immer eine Sitemap für bessere Indexierung hinzu","tools/roi-calculator",{"_168":13535,"_202":13536,"_139":13537,"_964":13544,"_57":13557,"_13569":13570,"_3572":13579,"_931":13582,"_1007":13597},"ROI-Rechner","Berechne den Return on Investment (ROI) zur Messung der Rentabilität deiner Investitionen",{"_13538":13539,"_13540":13541,"_13542":13543},"stockInvestment","Aktieninvestition","marketingCampaign","Marketingkampagne","lossExample","Verlust-Beispiel",{"_3415":13545,"_3417":13546,"_13547":13548,"_13549":13550,"_13551":13552,"_13553":13554,"_13555":13556},"Anfangsinvestition (€)","Gib Anfangsinvestitionsbetrag ein","finalValue","Endwert / Rendite (€)","finalValuePlaceholder","Gib Endwert ein","additionalCosts","Zusatzkosten / Gebühren (€) - Optional","additionalCostsPlaceholder","Gib Zusatzkosten ein","additionalCostsHelper","Beinhaltet Gebühren, Provisionen oder andere zugehörige Ausgaben",{"_13558":13559,"_13560":13561,"_13547":13562,"_13563":13564,"_12025":12026,"_13565":13566,"_13567":13568},"roi","Return on Investment (ROI)","totalInvestment","Gesamtinvestition","Endwert","gain","Gewinn","returnMultiple","Renditemultiplikator","multipleValue","{{value}}x","roiDescriptions",{"_10662":2145,"_13571":13572,"_13573":2147,"_2595":3607,"_2057":13574,"_13575":13576,"_13577":13578},"veryGood","Sehr gut","good","Breakeven+","minorLoss","Geringer Verlust","significantLoss","Erheblicher Verlust",{"_2051":13580,"_12025":13581},"Interpretation: Für jeden investierten Euro hast du {{multiple}} € zurückerhalten und {{roi}} verdient.","Interpretation: Für jeden investierten Euro hast du {{multiple}} € zurückerhalten und {{roi}} verloren.",{"_168":13583,"_202":13584,"_1149":2794,"_1820":13585,"_6677":2493,"_13586":13587,"_756":13588,"_786":13589,"_13590":13591,"_828":13592,"_13593":13594,"_13595":13596},"ROI verstehen","Return on Investment (ROI) ist eine Leistungskennzahl zur Bewertung der Effizienz einer Investition. Sie misst die Höhe der Rendite im Verhältnis zu den Kosten.","ROI = (Endwert - Gesamtinvestition) / Gesamtinvestition × 100%","stocks","Aktieninvestitionen: Renditen verschiedener Aktien vergleichen","Marketingkampagnen: Generierte Einnahmen vs. Werbeausgaben messen","Geschäftsprojekte: Rentabilität von Initiativen bewerten","realEstate","Immobilien: Renditen auf Immobilieninvestitionen berechnen","Bildung: Wert von Kursen oder Zertifizierungen einschätzen","benchmarksTitle","ROI-Richtwerte","benchmarksDesc","Guter ROI variiert je nach Branche und Investitionsart. Aktienmarkt-Durchschnitt: ~10%/Jahr. Immobilien: 8-12%/Jahr. Marketing: 5:1-Verhältnis (500% ROI) gilt als gut.",{"_452":13598},"Enter investment details to calculate ROI","tools/roman-numeral-converter",{"_168":13601,"_202":13602,"_1120":13603,"_964":13608,"_13615":13616,"_57":13617,"_384":13620,"_4953":13624,"_931":13626},"Römische Zahlen Konverter","Konvertiere zwischen römischen Zahlen und Standardzahlen (1-3999)",{"_13604":13605,"_13606":13607},"numberToRoman","Zahl → Römisch","romanToNumber","Römisch → Zahl",{"_8764":13609,"_13610":13611,"_12062":13612,"_13613":13614},"Gib Zahl ein (1-3999)","enterRoman","Gib römische Zahl ein","z.B. 2024","romanPlaceholder","z.B. MMXXIV","tryExamples","Probiere Beispiele:",{"_7022":3108,"_13618":13619},"romanNumeral","Römische Zahl",{"_103":13621,"_13622":13623},"Bitte gib eine Zahl zwischen 1 und 3999 ein","invalidRoman","Ungültige römische Zahl",{"_168":13625},"Römische Zahlensymbole",{"_168":13627,"_202":13628,"_13629":13630,"_13631":13632,"_13633":13634,"_13635":13636,"_13637":13638,"_13639":13640,"_13641":13642,"_13643":13644},"Wie römische Zahlen funktionieren","Römische Zahlen sind ein Zahlensystem, das im alten Rom entstand und bis ins späte Mittelalter die übliche Art war, Zahlen in ganz Europa zu schreiben.","basicRulesTitle","Grundregeln","additionRule","Addition: Wenn ein kleineres Symbol nach einem größeren steht, addiere sie (VI = 5 + 1 = 6)","subtractionRule","Subtraktion: Wenn ein kleineres Symbol vor einem größeren steht, subtrahiere es (IV = 5 - 1 = 4)","repetitionRule","Wiederholung: Ein Symbol kann bis zu 3-mal wiederholt werden (III = 3, XXX = 30)","noZeroRule","Keine Null: Römische Zahlen haben kein Symbol für Null","subtractionCombinationsTitle","Subtraktionskombinationen","modernUsageTitle","Moderne Verwendung","modernUsageDesc","Römische Zahlen werden heute noch für Zifferblätter, Buchkapitel, Film-Fortsetzungen, Super-Bowl-Nummern und formelle Dokumente verwendet.","tools/rotational-kinetic-energy-calculator",{"_168":13647,"_202":13648,"_964":13649,"_1120":13663,"_57":13666,"_139":13687,"_1007":13692,"_1190":13694,"_931":13700,"_1126":13715,"_2198":13720},"Rotationsenergie-Rechner","Berechne Rotations- und Translationsenergie für rotierende und rollende Objekte",{"_1097":1098,"_13650":1118,"_13651":1156,"_13652":1114,"_13653":1160,"_13654":13655,"_13656":13657,"_13658":13659,"_1099":13660,"_1101":1102,"_1105":1106,"_11988":13661,"_11990":11991,"_6742":2759,"_12372":13662},"momentLabel","momentPlaceholder","omegaLabel","omegaPlaceholder","rpmLabel","Winkelgeschwindigkeit (U/min)","rpmPlaceholder","U/min","useRPM","Nutze U/min statt rad/s","Objektform","Lineargeschwindigkeit (m/s)","m (optional)",{"_4299":13664,"_2134":13665},"Rollbewegung (Translation + Rotation)","Nur Rotationsenergie",{"_1145":1146,"_13667":13668,"_13669":13670,"_13671":13657,"_13672":13673,"_13674":13675,"_13676":13677,"_13678":1146,"_13679":13680,"_5479":13681,"_1349":13682,"_1151":13683,"_13684":13685,"_13686":1100},"parameters","Winkelbewegungs-Parameter","omega","Winkelgeschwindigkeit","rpm","I","Trägheitsmoment","totalKE","Gesamtenergie","transKE","Translationsenergie","rotKE","motionParams","Bewegungsparameter","Formkoeffizient","Energie-Verhältnis (Rot/Gesamt)","Energie-Visualisierung","energyDistribution","Energieverteilung","shapeNote",{"_13688":13689,"_13690":13691,"_8355":8356},"rollingDisk","Rollende Scheibe","rollingSphere","Rollende Kugel",{"_1046":13693},"Gib gültige Werte ein, um die Rotationsenergie zu berechnen",{"_168":1192,"_13678":13695,"_13676":13696,"_4299":13697,"_1128":13698,"_1130":13699},"E_rot = ½Iω²","E_trans = ½mv²","v = ωR (Rollen ohne Rutschen)","I_Scheibe = ½MR²","I_Kugel = ⅖MR²",{"_168":13701,"_202":13702,"_13703":13704,"_13705":13706,"_13707":13708,"_13709":13710,"_13711":13712,"_13713":13714},"Über den Rotationsenergie-Rechner","Berechne die kinetische Energie rotierender und rollender Objekte. Beim Rollen ohne Rutschen tragen sowohl Translations- als auch Rotationsenergie zur Gesamtenergie bei.","shapesTitle","Trägheitsmoment nach Form","shape1","Volle Scheibe/Zylinder: I = ½MR² (50% Rotationsenergie)","shape2","Volle Kugel: I = ⅖MR² (40% Rotationsenergie)","shape3","Dünner Ring/Reifen: I = MR² (66,7% Rotationsenergie)","shape4","Hohlkugel: I = ⅔MR² (60% Rotationsenergie)","rollingNote","Beim Rollen ohne Rutschen gilt v = ωR. Die Form bestimmt, wie kinetische Energie zwischen Translation und Rotation verteilt wird.",{"_1128":13716,"_1130":1131,"_8338":13717,"_13718":13719},"Volle Scheibe/Zylinder","Dünner Ring/Reifen","hollowSphere","Hohlkugel",{"_13721":13722,"_13723":3196,"_13674":13724,"_13725":13726,"_13727":13728},"trans","Trans","rot","Gesamt KE","pe","PE","mech","Mech","tools/ruler-on-screen",{"_168":13731,"_202":13732,"_13733":13734,"_964":13750,"_1153":13754,"_13758":13759,"_968":13763,"_13766":13767,"_13774":13775,"_931":13776},"Lineal auf dem Bildschirm","Miss Objekte auf deinem Bildschirm mit einem Online-Lineal","calibration",{"_168":13735,"_926":13736,"_13737":13738,"_13739":13740,"_13741":13742,"_13743":13744,"_13745":13746,"_13747":13748,"_13749":41},"Kalibriere dein Lineal","Zum Kalibrieren lege eine physische Kreditkarte oder Ausweiskarte auf deinen Bildschirm und passe die Größe an, bis sie perfekt passt.","cardSizeTitle","Standard-Kreditkartengröße:","cardWidth","Breite: 85,6 mm (3,375 Zoll)","cardHeight","Höhe: 53,98 mm (2,125 Zoll)","adjustPpi","PPI anpassen: {{ppi}}","testRectangle","Kreditkartengröße\n85,6 × 53,98 mm","doneButton","Fertig","cancelButton",{"_11576":1640,"_13751":13752,"_2757":13753},"orientation","Ausrichtung","Länge ({{unit}})",{"_1872":1873,"_13755":1869,"_13756":13757},"cm","px","Pixel","orientations",{"_13760":13761,"_6532":13762},"horizontal","Horizontal","Vertikal",{"_13764":13765},"calibrateRuler","🎯 Lineal kalibrieren","currentSettings",{"_168":13768,"_11528":13769,"_13770":13771,"_13772":13773},"Aktuelle Einstellungen:","• Bildschirm-PPI: {{ppi}}","devicePixelRatio","• Geräte-Pixelverhältnis: {{ratio}}x","rulerLength","• Lineallänge: {{length}} {{unit}}","measureInstruction","Platziere ein Objekt neben dem Lineal, um es auf deinem Bildschirm zu messen",{"_168":13777,"_13778":13779,"_13780":13781,"_13782":13783,"_2404":13784,"_2406":13785,"_2408":13786,"_2410":13787,"_2412":13788,"_1227":1228,"_947":13789,"_949":13790,"_951":13791,"_1419":13792,"_3460":13793},"So verwendest du das Online-Lineal","calibrationTitle","Kalibrierung","calibrationDesc","Für genaue Messungen kalibriere das Lineal mit einem physischen Objekt bekannter Größe (wie einer Kreditkarte). Dies berücksichtigt verschiedene Bildschirmgrößen und Auflösungen.","measuringObjectsTitle","Objekte messen","Kalibriere das Lineal mit einer Kreditkarte oder einem bekannten Objekt","Wähle deine bevorzugte Einheit (Zoll, cm oder Pixel)","Wähle horizontale oder vertikale Ausrichtung","Platziere das Objekt auf deinem Bildschirm neben dem Lineal","Lies die Messung von den Linealmarkierungen ab","Kalibrierung ist wichtig für genaue Messungen","Nutze eine Kreditkarte (85,6 × 53,98 mm) für einfache Kalibrierung","Verschiedene Monitore erfordern möglicherweise unterschiedliche Kalibrierung","Dieses Tool funktioniert am besten für kleine Objekte und schnelle Messungen","Für präzise Messungen verwende ein physisches Lineal","tools/sale-price-calculator",{"_168":13796,"_202":13797,"_139":13798,"_964":13802,"_13810":13811,"_57":13812,"_931":13821,"_1007":13836},"Verkaufspreis-Rechner","Finde heraus, was du an der Kasse zahlen wirst, nachdem der Rabatt angewendet wurde",{"_1840":13799,"_1842":13800,"_1844":13801},"25% Rabatt auf 75 €","40% Rabatt auf 150 €","10% Rabatt auf 299 €",{"_13803":13804,"_13805":13806,"_13807":4537,"_13808":13809},"regularPrice","Normalpreis (€)","regularPricePlaceholder","Gib Normalpreis ein","percentOff","percentOffPlaceholder","Gib Rabattprozentsatz ein (z.B. 20 für 20% Rabatt)","popularSales","Beliebte Rabattprozentsätze:",{"_13813":13814,"_13815":13816,"_13817":13818,"_13819":13820},"salePriceLabel","Verkaufspreis","savingsText","Spare {{savings}} ({{percent}}% Rabatt auf Normalpreis)","regularPriceLabel","Normalpreis","yourSavingsLabel","Deine Ersparnis",{"_168":13822,"_202":13823,"_3817":3394,"_13824":13825,"_13826":13827,"_13828":13829,"_13830":13831,"_13832":13833,"_13834":13835},"So verwendest du diesen Verkaufspreis-Rechner","Finde schnell heraus, was du tatsächlich zahlst, wenn ein Artikel im Angebot ist. Gib den Normalpreis und den Rabattprozentsatz ein, um deine Endkosten und Gesamtersparnis zu sehen.","perfectFor1","Einkaufen in Geschäften mit prozentualen Rabatten","perfectFor2","Vergleichen von Angeboten verschiedener Händler","perfectFor3","Budgetplanung während Sales-Events","perfectFor4","Berechnen von Ersparnissen bei Online-Käufen","proTipTitle","Profi-Tipp","proTipDesc","Viele Geschäfte bieten \"20% Rabatt\" oder \"30% Rabatt\" an. Nutze diesen Rechner, um deinen exakten Endpreis zu kennen, bevor du zur Kasse gehst!",{"_452":13837},"Enter original price to calculate sale price","tools/sales-tax-calculator",{"_168":13840,"_202":13841,"_139":13842,"_1120":13846,"_964":13851,"_13861":13862,"_13863":13864,"_57":13889,"_931":13897,"_1007":13910},"Umsatzsteuer-Rechner","Berechne die Umsatzsteuer auf Käufe oder entferne Steuer von einem Gesamtpreis",{"_3738":13843,"_5870":13844,"_5868":13845},"Kleiner Kauf (7%)","Mittlerer Kauf (8,25%)","Großer Kauf (10%)",{"_13847":13848,"_13849":13850},"addTax","Steuer zum Preis hinzufügen","removeTax","Steuer vom Gesamtbetrag entfernen",{"_13852":13853,"_13854":13855,"_13856":13857,"_13858":13859,"_5415":5416,"_12988":13860,"_13861":13862},"preTaxPrice","Preis vor Steuer (€)","totalPriceWithTax","Gesamtpreis mit Steuer (€)","preTaxPlaceholder","Gib Preis vor Steuer ein","totalPricePlaceholder","Gib Gesamtpreis ein","Gib Steuersatz ein","commonTaxRates","Häufige Steuersätze:","taxRateExamples",{"_13865":13866,"_13867":13868,"_13869":13870,"_13871":13872,"_13873":13874,"_13875":13876,"_13877":13878,"_13879":13880,"_13881":13882,"_13883":13884,"_13885":13886,"_13887":13888},"noTax","0% (Keine Steuer)","noTaxStates","OR, NH, DE (USA)","fourPercent","4%","fourPercentStates","HI, NY (USA)","sixPercent","6%","sixPercentStates","PA, NJ, CT (USA)","sevenPercent","7%","sevenPercentStates","CA, IN, MS (USA)","eightTwentyFive","8,25%","eightTwentyFiveStates","TX (USA)","tenPercent","10%","tenPercentLocation","MwSt. (einige Länder)",{"_13854":13890,"_13891":13892,"_13893":13894,"_13895":13896},"Gesamtpreis (mit Steuer)","preTaxPriceLabel","Preis vor Steuer","taxAmountLabel","Steuerbetrag","totalPriceLabel","Gesamtpreis",{"_168":13898,"_202":13899,"_13900":13901,"_13902":13903,"_13904":13905,"_13906":13907,"_13908":13909},"So verwendest du diesen Umsatzsteuer-Rechner","Dieser Rechner hilft dir, schnell die Umsatzsteuer auf Käufe zu bestimmen oder den Preis vor Steuern aus einem Gesamtbetrag zu berechnen. Wähle, ob du Steuer hinzufügen oder entfernen möchtest, gib dann deinen Betrag und den lokalen Steuersatz ein.","twoModesTitle","Zwei Modi","addTaxMode","Steuer hinzufügen: Gib Preis vor Steuer ein, um Steuerbetrag und Gesamtsumme zu sehen","removeTaxMode","Steuer entfernen: Gib Gesamtpreis ein, um Originalpreis und gezahlte Steuer zu sehen","findingRateTitle","Deinen lokalen Steuersatz finden","findingRateDesc","Umsatzsteuersätze variieren je nach Bundesland, Landkreis und Stadt. Überprüfe die Website deiner lokalen Behörden oder aktuelle Quittungen, um den genauen Satz deiner Region zu finden.",{"_452":13911},"Enter price to calculate sales tax","tools/seo-analyzer",{"_168":13914,"_202":13915,"_964":13916,"_968":13920,"_384":13923,"_11941":13931,"_1577":13935,"_13950":13951,"_1466":13986,"_931":14043},"SEO-Analysator","Analysieren Sie das SEO von Webseiten und erhalten Sie umsetzbare Empfehlungen",{"_13917":13918,"_6617":13919},"urlLabel","Website-URL eingeben","https://beispiel.com",{"_11247":13921,"_187":13922},"SEO analysieren","Wird analysiert...",{"_13924":13925,"_13926":13927,"_107":13928,"_13929":13930},"analysisFailed","Analyse der Website fehlgeschlagen","connectionFailed","Verbindung zum Server fehlgeschlagen","Ungültiges URL-Format","rateLimitExceeded","Zu viele Anfragen. Bitte versuchen Sie es später erneut.",{"_168":13932,"_13573":2147,"_13933":13934,"_384":1541},"Zusammenfassung der Analyse","warnings","Warnungen",{"_13936":13937,"_13938":13939,"_11655":8146,"_13940":13941,"_13942":13943,"_11117":13944,"_13945":13946,"_13947":13948,"_206":13949},"metadata","Grundlegende Metadaten","headings","Überschriftenstruktur","twitter","Twitter Card Tags","structuredData","Strukturierte Daten","Bilder & Alt-Text","links","Links","technical","Technisch","Inhalt","fields",{"_168":201,"_202":203,"_210":13952,"_199":200,"_13953":13954,"_93":832,"_13955":13956,"_13957":13958,"_13959":13960,"_13961":13962,"_13963":13964,"_11698":13965,"_13966":13967,"_13968":13969,"_13970":13971,"_13972":13973,"_13974":13975,"_13976":13977,"_13978":13979,"_13980":13981,"_208":209,"_13982":13983,"_13984":13985},"Viewport","robots","Meta Robots","charset","Zeichensatz","favicon","Favicon","h1Count","H1-Tags","ogTitle","OG Titel","ogDescription","OG Beschreibung","OG Bild","twitterCard","Twitter Card","schemas","Gefundene Schemas","totalImages","Bilder gesamt","withAlt","Mit Alt-Text","withoutAlt","Ohne Alt-Text","totalLinks","Links gesamt","internalLinks","Interne Links","externalLinks","Externe Links","loadTime","Ladezeit","wordCount","Wortanzahl",{"_13987":13988,"_13989":13990,"_8116":13991,"_13992":13993,"_13994":13995,"_13996":13997,"_8118":13998,"_13999":14000,"_14001":14002,"_14003":14004,"_14005":14006,"_14007":14008,"_14009":14010,"_14011":14012,"_14013":14014,"_14015":14016,"_14017":14018,"_14019":14020,"_14021":14022,"_14023":14024,"_14025":14026,"_14027":14028,"_14029":14030,"_14031":14032,"_14033":14034,"_14035":14036,"_14037":14038,"_14039":14040,"_14041":14042},"titleOptimal","Titellänge ist optimal ({count} Zeichen)","titleTooShort","Titel ist zu kurz ({count} Zeichen)","Titel ist zu lang ({count} Zeichen)","titleMissing","Title-Tag fehlt","descriptionOptimal","Meta-Beschreibungslänge ist optimal ({count} Zeichen)","descriptionTooShort","Meta-Beschreibung ist zu kurz ({count} Zeichen)","Meta-Beschreibung ist zu lang ({count} Zeichen)","descriptionMissing","Meta-Beschreibung fehlt","h1Optimal","Genau ein H1-Tag gefunden (optimal)","h1Missing","Kein H1-Tag gefunden - fügen Sie eines für besseres SEO hinzu","h1Multiple","Mehrere H1-Tags gefunden ({count}) - verwenden Sie nur ein H1 pro Seite","viewportExists","Mobiles Viewport-Tag vorhanden","viewportMissing","Mobiles Viewport-Tag fehlt","httpsGood","Verwendet HTTPS (sicher)","httpBad","Verwendet HTTP (nicht sicher) - wechseln Sie zu HTTPS","loadTimeFast","Ladezeit ist schnell ({time}ms)","loadTimeModerate","Ladezeit ist moderat ({time}ms)","loadTimeSlow","Ladezeit ist langsam ({time}ms)","contentGood","Gute Inhaltslänge ({count} Wörter)","contentShort","Inhalt ist kurz ({count} Wörter)","contentTooShort","Inhalt ist zu kurz ({count} Wörter)","imagesGood","Die meisten Bilder haben Alt-Text ({percent}%)","imagesWarning","Einige Bilder fehlt Alt-Text ({percent}%)","imagesBad","Vielen Bildern fehlt Alt-Text ({percent}%)","ogComplete","Open Graph Tags sind vollständig","ogIncomplete","Einige Open Graph Tags fehlen","ogMissing","Open Graph Tags fehlen","structuredDataFound","{count} strukturierte Datenschema(s) gefunden","structuredDataMissing","Keine strukturierten Daten gefunden",{"_168":14044,"_14045":14046,"_14047":14048,"_14049":14050,"_14051":14052,"_14053":14054},"Was ist SEO-Analyse?","item1","Wir analysieren die Meta-Tags, Überschriften und Inhalte Ihrer Webseite","item2","Überprüfen Sie Open Graph- und Twitter Card-Tags für soziale Medien","item3","Verifizieren Sie strukturierte Daten (JSON-LD) für Rich-Suchergebnisse","item4","Bieten Sie umsetzbare Empfehlungen mit farbcodierten Indikatoren","item5","Grün = gut, Gelb = verbesserungsbedürftig, Rot = kritisches Problem","tools/sha-signature-checker",{"_168":14057,"_202":14058,"_139":14059,"_964":14062,"_1120":14071,"_6149":14075,"_968":14078,"_57":14083,"_931":14093},"SHA-Signatur-Prüfer","Überprüfe SHA-Prüfsummen für Dateien und Text zur Sicherstellung der Datenintegrität",{"_170":14060,"_4354":14061},"Text-Hash","Hashes vergleichen",{"_1097":14063,"_1441":14064,"_1443":14065,"_14066":14067,"_6145":6146,"_14068":14069,"_2914":14070},"Eingabemodus","Zu hashender Text","Gib Text ein, um Hash zu generieren...","fileLabel","Datei auswählen","expectedLabel","Erwarteter Hash (Optional)","Füge den erwarteten Hash zum Verifizieren ein...",{"_170":14072,"_14073":14074},"Texteingabe","file","Datei-Upload",{"_6157":14076,"_6151":14077,"_6153":6154,"_6155":6156},"SHA-1","SHA-256",{"_30":14079,"_14080":14081,"_20":14082,"_36":128},"Hash berechnen","verify","Hash verifizieren","Hash kopieren",{"_168":14084,"_6167":6146,"_14085":14086,"_2757":6170,"_14087":14088,"_13134":14089,"_14090":14091,"_5139":14092},"Hash-Ergebnis","hash","Hash","verificationTitle","Verifizierungs-Ergebnis","Hashes stimmen überein! Dateiintegrität verifiziert.","noMatch","Hashes stimmen NICHT überein! Daten könnten beschädigt oder verändert sein.","Verarbeite Datei...",{"_168":14094,"_202":14095,"_1078":2493,"_1080":14096,"_1082":14097,"_1084":14098,"_1086":14099,"_1088":14100,"_6186":14101,"_6188":14102,"_6190":14103,"_6192":14104,"_14105":14106,"_1227":1228,"_947":14107,"_949":14108,"_951":14109},"Über den SHA-Signatur-Prüfer","SHA (Secure Hash Algorithm) generiert einen Hash-Wert fester Größe aus Eingabedaten. Dieses Tool berechnet Hashes und verifiziert sie gegen erwartete Werte, um Datenintegrität sicherzustellen.","Verifiziere, dass heruntergeladene Dateien nicht beschädigt wurden","Überprüfe Software-Downloads gegen veröffentlichte Prüfsummen","Verifiziere Backup-Dateiintegrität","Vergleiche Dateiinhalte, ohne die eigentlichen Daten zu teilen","Erkenne nicht autorisierte Änderungen an Dateien","Algorithmen-Vergleich","SHA-1: 160-Bit-Hash, nur für Legacy-Nutzung (nicht sicher)","SHA-256: 256-Bit-Hash, weit verbreitet, empfohlen","SHA-384: 384-Bit-Hash, höhere Sicherheit","alg4","SHA-512: 512-Bit-Hash, maximale Sicherheit","SHA-256 ist am häufigsten für Datei-Verifizierung verwendet","Hashes sind beim Vergleichen nicht case-sensitive","Selbst eine winzige Änderung in Daten erzeugt einen komplett anderen Hash","tools/shopping-calculator",{"_168":14112,"_202":14113,"_139":14114,"_964":14118,"_57":14126,"_931":14137,"_1007":14148},"Einkaufs-Rechner","Berechne deine finale Einkaufssumme mit Rabatten und Steuer",{"_1840":14115,"_1842":14116,"_1844":14117},"50 €, 20% Rabatt, 7% Steuer","100 €, kein Rabatt, 8,25% Steuer","75 €, 30% Rabatt, keine Steuer",{"_13013":14119,"_12590":14120,"_4536":14121,"_4538":14122,"_7035":14123,"_14124":14125},"Artikelpreis (€)","Gib Artikelpreis ein","Rabatt (%) - Optional","Gib Rabattprozentsatz ein (leer lassen falls keiner)","Umsatzsteuer (%) - Optional","taxPlaceholder","Gib Steuersatz ein (leer lassen falls keine)",{"_4556":14127,"_4532":14128,"_4536":14129,"_14130":14131,"_14132":14133,"_14134":14135,"_4558":14136,"_4561":14136},"Endpreis (an der Kasse)","Originalpreis:","Rabatt ({{percent}}%):","priceAfterDiscount","Preis nach Rabatt:","salesTax","Umsatzsteuer ({{percent}}%):","finalTotal","Endsumme:","Du sparst {{amount}}!",{"_168":14138,"_202":14139,"_5368":14140,"_2404":4568,"_2406":14141,"_2408":14142,"_2410":14143,"_14144":14145,"_14146":14147},"So verwendest du diesen Einkaufs-Rechner","Dieser Rechner hilft dir herauszufinden, was du an der Kasse zahlen wirst. Er berücksichtigt Rabatte und Umsatzsteuer zusammen, sodass du genau weißt, was du zahlen wirst.","Schritt für Schritt","Füge den Rabattprozentsatz hinzu (z.B. 20 für 20% Rabatt)","Füge deinen lokalen Steuersatz hinzu (leer lassen falls keine)","Sieh deinen finalen Kassenpreis sofort","whenTitle","Wann du dies nutzen solltest","whenText","Perfekt für reale Einkaufssituationen, wenn Artikel sowohl Rabatte ALS AUCH Steuern haben. Der Rechner wendet zuerst den Rabatt an, dann berechnet er die Steuer auf den reduzierten Preis (genau wie an der Kasse).",{"_452":14149},"Add items to calculate total","tools/shuffle-text-lines",{"_168":14152,"_202":14153,"_139":14154,"_964":14167,"_968":14170,"_57":14175,"_931":14180},"Textzeilen mischen","Mische deine Textzeilen zufällig",{"_14155":14156,"_14157":14158,"_14159":14160,"_14161":14162,"_14163":14164,"_14165":14166},"simpleList","Einfache Liste","simpleListText","Erstes Element\nZweites Element\nDrittes Element\nViertes Element\nFünftes Element","numberedList","Nummerierte Liste","numberedListText","1. Apfel\n2. Banane\n3. Kirsche\n4. Dattel\n5. Himbeere","randomizePlayers","Spieler randomisieren","randomizePlayersText","Spieler 1\nSpieler 2\nSpieler 3\nSpieler 4\nSpieler 5\nSpieler 6",{"_14168":14169,"_2823":13217},"textToShuffle","Zu mischender Text",{"_14171":14172,"_14173":14174,"_20":21},"shuffleLines","Zeilen mischen","shuffleAgain","Erneut mischen",{"_14176":14177,"_14178":14179},"shuffledText","Gemischter Text","linesShuffled","Gemischte Zeilen: {{count}}",{"_168":14181,"_202":14182,"_3046":3047,"_14183":14184,"_14185":14186,"_14187":14188,"_14189":14190},"So verwendest du Textzeilen mischen","Füge deinen Text ein oder tippe ihn (ein Element pro Zeile), klicke den Mischen-Button und erhalte ein zufällig sortiertes Ergebnis. Jedes Mischen erzeugt eine andere Zufallsreihenfolge durch den Fisher-Yates-Algorithmus für wirklich zufällige Ergebnisse.","fisherYates","Fisher-Yates-Algorithmus: Verwendet bewährten Algorithmus für unvoreingenommenes Mischen","multipleShuffles","Mehrfaches Mischen: Klicke \"Erneut mischen\" für verschiedene Zufallsreihenfolgen","emptyLineFiltering","Leerzeilenfilterung: Entfernt automatisch leere Zeilen","instantResults","Sofortige Ergebnisse: Schnelles Mischen für jede Listengröße","tools/snake-game",{"_168":14193,"_202":14194,"_911":912,"_913":914,"_915":916,"_14195":14196,"_14197":14198,"_14199":14200,"_14201":14202,"_921":922,"_923":924,"_14203":14204,"_926":14205,"_931":14208},"Schlangen-Spiel","Spielen Sie das klassische Schlangen-Spiel - fressen Sie Futter, werden Sie länger und vermeiden Sie es, sich selbst zu treffen!","pressToStart","Drücken zum Starten","useArrowKeys","Pfeiltasten oder WASD verwenden","paused","Pausiert","clickToContinue","Klicken zum Fortfahren","playAgain","Nochmal Spielen",{"_928":14206,"_311":14207},"Verwenden Sie die Pfeiltasten oder WASD, um die Schlange zu steuern. Drücken Sie die Leertaste zum Pausieren.","Wischen Sie, um die Schlange zu steuern. Tippen Sie, um zu spielen.",{"_168":14209,"_202":14210,"_935":8173,"_937":14211,"_939":14212,"_941":14213,"_943":14214,"_2996":7993,"_14215":14216,"_14217":14218,"_14219":14220},"Über Snake","Snake ist ein klassisches Arcade-Spiel, bei dem Sie eine wachsende Schlange steuern, die es vermeiden muss, Wände und sich selbst zu treffen. Das Spiel wird progressiv schneller, je mehr Futter Sie essen!","Verwenden Sie die Pfeiltasten oder WASD, um die Richtung zu ändern","Fressen Sie das gelbe Futter, um länger zu werden und Punkte zu erhalten","Die Schlange bewegt sich schneller, jedes Mal wenn Sie fressen","Treffen Sie nicht die Wände oder Ihren eigenen Schwanz!","control1","Pfeiltasten / WASD - Richtung ändern","control2","Leertaste - Pausieren/Fortsetzen","control3","Wischen (mobil) - Richtung ändern","tools/snells-law-calculator",{"_168":14223,"_202":14224,"_964":14225,"_4461":14234,"_57":14243,"_139":14254,"_1007":14261,"_1190":14263,"_931":14270},"Snelliussches Brechungsgesetz Rechner","Berechne Lichtbrechungswinkel und Brechungsindizes mit Strahlendiagramm-Visualisierung",{"_2095":2094,"_14226":14227,"_14228":14229,"_14230":14231,"_14232":14233},"n1Label","n₁ (einfallendes Medium)","n2Label","n₂ (gebrochenes Medium)","angle1Label","θ₁ - Einfallswinkel (°)","angle2Label","θ₂ - Brechungswinkel (°)",{"_14235":14236,"_14237":14238,"_14239":14240,"_14241":14242},"angle2","Brechungswinkel (θ₂)","angle1","Einfallswinkel (θ₁)","n1","Brechungsindex n₁","n2","Brechungsindex n₂",{"_14244":14245,"_14246":14247,"_14248":14249,"_6874":14250,"_14251":14252,"_5511":14253},"tir","Totalreflexion","tirExplanation","Winkel überschreitet Grenzwinkel von","relativeIndex","Relativer Index (n₂/n₁)","Grenzwinkel","brewster","Brewster-Winkel","Häufige Brechungsindizes",{"_14255":14256,"_14257":14258,"_14259":14260},"airToGlass","Luft → Glas","glassToAir","Glas → Luft","airToWater","Luft → Wasser",{"_1046":14262},"Gib Werte ein, um Brechung zu berechnen",{"_168":14264,"_14265":14266,"_14267":14268,"_14251":14269},"Snelliussches Brechungsgesetz","snell","n₁ sin(θ₁) = n₂ sin(θ₂)","critical","sin(θc) = n₂/n₁ (Grenzwinkel)","tan(θB) = n₂/n₁ (Brewster-Winkel)",{"_168":14271,"_202":14272,"_1212":14273,"_1214":14274,"_1216":14275,"_1218":14276,"_4727":4826,"_4729":14277,"_4731":14278,"_4733":14279},"Über den Snelliussches Brechungsgesetz Rechner","Berechne Lichtbrechung an der Grenze zwischen zwei Medien. Das Snelliussche Brechungsgesetz beschreibt, wie Licht sich biegt, wenn es von einem Medium in ein anderes übergeht.","Kernkonzepte","Licht beugt sich zur Normalen hin beim Eintritt in ein dichteres Medium (höheres n)","Licht beugt sich von der Normalen weg beim Eintritt in ein weniger dichtes Medium","Totalreflexion tritt auf, wenn Licht von hohem n zu niedrigem n über dem Grenzwinkel geht","Optisches Linsendesign und Brillen","Glasfaser (unter Nutzung von Totalreflexion)","Unterwasserfotografie und Tauchphysik","tools/solitaire-game",{"_168":14282,"_202":14283,"_14284":14285,"_594":8163,"_913":914,"_915":916,"_917":8160,"_14203":14204,"_926":14286,"_931":14287},"Solitaire (Klondike)","Spielen Sie das klassische Klondike Solitaire Kartenspiel - stapeln Sie Karten und bauen Sie Fundamente!","moves","ZÜGE","Klicken Sie auf Karten, um sie auszuwählen, dann klicken Sie, wohin Sie sie bewegen möchten. Doppelklicken, um automatisch zum Fundament zu bewegen.",{"_168":14288,"_202":14289,"_935":8173,"_937":14290,"_939":14291,"_941":14292,"_943":14293,"_945":946,"_947":14294,"_949":14295,"_951":14296},"Über Solitaire","Klondike Solitaire ist die klassische Version von Solitaire. Bauen Sie vier Fundamentstapel von Ass bis König nach Farbe, während Sie das Tableau verwenden, um Karten vorübergehend in absteigender Reihenfolge mit wechselnden Farben zu speichern.","Bauen Sie Fundamentstapel nach Farbe von Ass bis König","Stapeln Sie Karten auf dem Tableau in absteigender Reihenfolge mit wechselnden Farben (rot auf schwarz, schwarz auf rot)","Nur Könige können auf leere Tableau-Spalten gelegt werden","Klicken Sie auf den Stock, um Karten zu ziehen, die auf dem Tableau oder den Fundamenten gespielt werden können","Versuchen Sie, verdeckte Karten so schnell wie möglich aufzudecken","Beeilen Sie sich nicht, Karten zu den Fundamenten zu bewegen - manchmal ist es besser, sie im Spiel zu behalten","Leere Tableau-Spalten sind wertvoll - versuchen Sie, sie wenn möglich zu erstellen","tools/sort-text-lines",{"_168":14299,"_202":14300,"_139":14301,"_964":14314,"_14321":14322,"_14326":14327,"_57":14332,"_968":14336,"_931":14337},"Textzeilen sortieren","Sortiere deine Textzeilen alphabetisch oder numerisch",{"_14302":14303,"_14304":14305,"_14306":14307,"_14308":14309,"_14310":14311,"_14312":14313},"alphabeticalAZ","Alphabetisch A-Z","alphabeticalAZText","Zebra\nApfel\nBanane\nKirsche\nHund","numericalSort","Numerische Sortierung","numericalSortText","100\n5\n50\n10\n1","reverseOrder","Umgekehrte Reihenfolge","reverseOrderText","Erstes Element\nZweites Element\nDrittes Element\nViertes Element",{"_14315":14316,"_2823":13217,"_14317":14318,"_14319":14320,"_13210":13211},"textToSort","Zu sortierender Text","sortOrder","Sortierreihenfolge","sortType","Sortiertyp","sortOrders",{"_14323":14324,"_5578":14325},"asc","Aufsteigend (A-Z, 1-9)","Absteigend (Z-A, 9-1)","sortTypes",{"_14328":14329,"_14330":14331},"alphabetical","Alphabetisch","numerical","Numerisch",{"_14333":14334,"_2834":14335},"sortedText","Sortierter Text","Zeilen: {{count}}",{"_20":21},{"_168":14338,"_202":14339,"_3046":3047,"_14340":14341,"_14306":14342,"_13240":14343,"_14187":14188},"So verwendest du Textzeilen sortieren","Füge deinen Text ein oder tippe ihn (ein Element pro Zeile), wähle deine Sortiereinstellungen und erhalte sofort sortierte Ergebnisse. Perfekt zum Organisieren von Listen, Daten oder jedem zeilenbasierten Inhalt.","alphabeticalSort","Alphabetische Sortierung: Sortiere Text A-Z oder Z-A","Numerische Sortierung: Sortiere Zahlen auf- oder absteigend","Groß-/Kleinschreibung beachten: Option zur Berücksichtigung von Groß-/Kleinschreibung","tools/sorting-visualizer",{"_168":14346,"_202":14347,"_964":14348,"_6149":14360,"_14371":14372,"_14383":14384,"_57":14391,"_2996":14399,"_2198":14400,"_14403":14404,"_1190":14415,"_931":14422},"Sortier-Visualisierer","Visualisiere und vergleiche Sortieralgorithmen mit schrittweiser Animation",{"_6167":6146,"_14349":14350,"_14351":14352,"_14353":14354,"_14355":14356,"_34":14357,"_14358":14359},"arraySize","Array-Größe (10-100)","customInput","Benutzerdefinierte Eingabe (kommasepariert)","customPlaceholder","z.B. 64, 34, 25, 12, 22, 11, 90","use","Nutze","Zufälliges Array generieren","speed","Animationsgeschwindigkeit",{"_14361":14362,"_14363":14364,"_14365":14366,"_14367":14368,"_14369":14370},"bubble","Bubblesort","selection","Selectionsort","insertion","Insertionsort","quick","Quicksort","merge","Mergesort","algorithmInfo",{"_14361":14373,"_14363":14375,"_14365":14377,"_14367":14379,"_14369":14381},{"_2355":14362,"_202":14374},"Durchläuft wiederholt die Liste, vergleicht benachbarte Elemente und tauscht sie aus, wenn sie in der falschen Reihenfolge sind.",{"_2355":14364,"_202":14376},"Teilt die Eingabe in sortierte und unsortierte Bereiche, wählt wiederholt das kleinste Element aus dem unsortierten Bereich.",{"_2355":14366,"_202":14378},"Baut das sortierte Array Element für Element auf, indem jedes Element an seiner richtigen Position eingefügt wird.",{"_2355":14368,"_202":14380},"Wählt ein Pivot-Element und partitioniert das Array darum herum, sortiert rekursiv die Subarrays.",{"_2355":14370,"_202":14382},"Teilt das Array in Hälften, sortiert sie rekursiv und fügt dann die sortierten Hälften zusammen.","complexity",{"_913":14385,"_1968":14386,"_14387":14388,"_14389":14390},"Bester Fall","Durchschnittsfall","worst","Schlechtester Fall","space","Speicher",{"_168":14392,"_1151":1152,"_14393":14394,"_14395":14396,"_3258":14397,"_14349":14398},"Sortierergebnisse","comparisons","Vergleiche gesamt","swaps","Vertauschungen gesamt","Schritte gesamt","Array-Größe",{"_75":76,"_3000":3001,"_26":27},{"_4484":4485,"_14393":14401,"_14395":14402},"Vergleiche","Vertauschungen","legend",{"_168":14405,"_14406":5054,"_14407":14408,"_14409":14410,"_14411":14412,"_14413":14414},"Farblegende","default","comparing","Vergleichend","swapping","Vertauschend","sorted","Sortiert","pivot","Pivot",{"_168":14416,"_14361":14417,"_14363":14418,"_14365":14419,"_14367":14420,"_14369":14421},"Zeitkomplexität-Referenz","Bubblesort: O(n) bester, O(n²) durchschnittlich/schlechtester Fall","Selectionsort: O(n²) alle Fälle","Insertionsort: O(n) bester, O(n²) durchschnittlich/schlechtester Fall","Quicksort: O(n log n) bester/durchschnittlich, O(n²) schlechtester Fall","Mergesort: O(n log n) alle Fälle",{"_168":14423,"_202":14424,"_6186":14425,"_6188":14426,"_6190":14427,"_6192":14428,"_14105":14429,"_14430":14431},"Über den Sortier-Visualisierer","Visualisiere, wie verschiedene Sortieralgorithmen Schritt für Schritt funktionieren. Vergleiche ihre Effizienz durch Vergleiche, Vertauschungen und Zeitkomplexität.","Sortieralgorithmen","Bubblesort: Einfaches vergleichsbasiertes Sortieren, gut zum Lernen","Selectionsort: Findet wiederholt Minimum, immer O(n²)","Insertionsort: Effizient für kleine/fast sortierte Arrays","Quicksort: Teile-und-herrsche mit Pivots, sehr schnell in der Praxis","alg5","Mergesort: Stabiles O(n log n) mit zusätzlichem Speicherbedarf","tools/sound-level-meter",{"_168":14434,"_202":14435,"_968":14436,"_8426":14439,"_12854":14443,"_139":14452,"_7976":14468,"_931":14474},"Schallpegel-Messgerät","Miss Schallpegel in Dezibel mit dem Mikrofon deines Geräts",{"_2998":14437,"_77":14438,"_26":27},"Messung starten","Messung stoppen",{"_2692":14440,"_11264":11265,"_11272":11273,"_14441":1969,"_11576":14442},"Aktueller Pegel","avg","dB",{"_14444":14445,"_2595":3607,"_14446":14447,"_14448":14449,"_14450":14451},"quiet","Leise","loud","Laut","veryLoud","Sehr laut","dangerous","Gefährlich",{"_14453":14454,"_14455":14456,"_14457":874,"_14458":14459,"_14460":14461,"_14462":14463,"_14464":14465,"_14466":14467},"whisper","Flüstern","whisperDb","~30 dB","conversation","conversationDb","~60 dB","traffic","Verkehr","trafficDb","~80 dB","concert","Konzert","concertDb","~110 dB",{"_168":14469,"_202":14470,"_73":14471,"_14472":14473},"Mikrofonzugriff erforderlich","Dieses Tool benötigt Zugriff auf dein Mikrofon, um Schallpegel zu messen. Klicke den Button unten, um die Berechtigung zu erteilen.","Mikrofonzugriff gewähren","denied","Mikrofonzugriff wurde verweigert. Bitte aktiviere ihn in deinen Browsereinstellungen, um dieses Tool zu nutzen.",{"_168":14475,"_202":14476,"_14477":14478,"_14479":14480,"_14481":14482,"_14483":14484,"_14485":14486,"_14487":14488,"_14489":14490,"_14491":14492,"_14493":14494,"_14495":14496,"_14497":14498,"_14499":14500,"_164":14501},"Über das Schallpegel-Messgerät","Dieses Tool nutzt das Mikrofon deines Geräts, um Umgebungsschallpegel in Dezibel (dB) zu messen. Obwohl nicht so genau wie professionelle Ausrüstung, liefert es nützliche relative Messungen.","referenceTitle","Referenzwerte","ref1","0-30 dB: Sehr leise (Flüstern, raschelnde Blätter)","ref2","30-60 dB: Leise bis moderat (Bibliothek, normale Unterhaltung)","ref3","60-80 dB: Moderat bis laut (belebte Straße, Staubsauger)","ref4","80-100 dB: Laut (Fabrik, Motorrad)","ref5","100-120 dB: Sehr laut (Rockkonzert, Kettensäge)","ref6","120+ dB: Gefährlich (Düsentriebwerk, Schuss)","safetyTitle","Gehörschutz","safety1","Längere Exposition über 85 dB kann Gehörschäden verursachen","safety2","Geräusche über 120 dB können sofortigen Schaden verursachen","safety3","Nutze Gehörschutz in lauten Umgebungen","disclaimerTitle","Haftungsausschluss","Dies ist ein ungefähres Messwerkzeug. Für professionelle oder sicherheitskritische Anwendungen verwende kalibrierte Ausrüstung.","tools/spring-mass-calculator",{"_168":14504,"_202":14505,"_964":14506,"_57":14516,"_2996":14533,"_139":14534,"_1007":14541,"_1190":14543,"_931":14549},"Feder-Masse-Rechner","Simuliere und analysiere harmonische Schwingung einer Masse an einer Feder",{"_2764":1102,"_1103":1665,"_14507":14508,"_14509":14510,"_14511":14512,"_11133":2770,"_14513":14514,"_14515":10778,"_5483":5483},"springConstant","Federkonstante (N/m)","springConstantPlaceholder","N/m","amplitude","Amplitude (m)","initialPhase","Anfangsphase (rad)","initialPhasePlaceholder",{"_14517":14518,"_13669":11145,"_11138":14519,"_5946":5947,"_14520":14521,"_14522":14523,"_14524":14525,"_1157":14526,"_14527":14528,"_14529":14530,"_14531":13675,"_11146":14532},"oscillation","Schwingungseigenschaften","Periode","maxValues","Maximalwerte","maxVelocity","Maximale Geschwindigkeit","maxAcceleration","Maximale Beschleunigung","Energie","maxKE","Max kinetische Energie","maxPE","Max potenzielle Energie","totalEnergy","Feder-Masse-Animation",{"_75":76,"_3000":3001,"_26":27},{"_14535":14536,"_14537":14538,"_14539":14540},"gentle","Sanfte Feder","stiff","Steife Feder","heavy","Schwere Masse",{"_1046":14542},"Gib gültige Werte ein, um Feder-Masse-Schwingung zu simulieren",{"_168":1192,"_13669":14544,"_11138":14545,"_5946":11158,"_2781":14546,"_12003":14547,"_1157":14548},"ω = √(k/m)","T = 2π√(m/k)","x(t) = A·cos(ωt + φ)","v(t) = -Aω·sin(ωt + φ)","E = ½kA²",{"_168":14550,"_202":14551,"_1212":14273,"_1214":14552,"_1216":14553,"_1218":14554,"_4727":4826,"_4729":14555,"_4731":14556,"_4733":14557},"Über den Feder-Masse-Rechner","Analysiere harmonische Schwingung einer an einer Feder befestigten Masse. Dieser Rechner simuliert ideale harmonische Schwingung ohne Dämpfung oder Reibung.","Periode hängt nur von Masse und Federkonstante ab, nicht von Amplitude","Gesamte mechanische Energie bleibt während der Bewegung erhalten","Position und Geschwindigkeit sind 90° phasenverschoben","Fahrzeug-Federungssysteme","Mechanische Uhren","Seismografen und Vibrationssensoren","tools/standard-deviation-calculator",{"_168":14560,"_202":14561,"_964":14562,"_57":14575,"_553":14582,"_139":14587,"_1007":14594,"_1190":14596,"_931":14603},"Standardabweichung-Rechner","Berechne Standardabweichung, Varianz und andere Statistiken für einen Datensatz",{"_11243":14563,"_5006":14564,"_2823":14565,"_14566":14567,"_6215":6216,"_14568":1098,"_1528":14569,"_11929":14570,"_14571":14572,"_14573":14574},"Gib Datenwerte ein","(getrennt durch Kommas, Leerzeichen oder neue Zeilen)","Gib Zahlen ein: 1, 2, 3, 4, 5...","valuesDetected","Werte erkannt","calcType","Stichprobe (n-1)","Grundgesamtheit (n)","sampleHint","Nutze Stichprobe, wenn deine Daten eine Teilmenge einer größeren Population sind","populationHint","Nutze Grundgesamtheit, wenn deine Daten die gesamte Population repräsentieren",{"_168":58,"_3498":14576,"_1814":14577,"_1812":3497,"_11867":7505,"_7252":7253,"_14578":14579,"_11264":11265,"_11272":11273,"_11283":11284,"_14580":14581},"Standardabweichung","Varianz","sum","Summe","stepByStep","Schritt-für-Schritt-Berechnung",{"_7432":14583,"_5951":14584,"_14585":14586},"Wert (xᵢ)","xᵢ - μ","squared","(xᵢ - μ)²",{"_14588":14589,"_14590":14591,"_14592":14593},"classScores","Klassenpunkte","heights","Größen (m)","temperatures","Temperaturen",{"_1046":14595},"Gib einige Zahlen ein, um Statistiken zu berechnen",{"_168":1192,"_1812":14597,"_14598":14599,"_14600":14601,"_3498":14602},"Mittelwert: μ = Σxᵢ / n","varianceSample","Varianz: σ² = Σ(xᵢ - μ)² / (n-1)","variancePop","Varianz: σ² = Σ(xᵢ - μ)² / n","Standardabweichung: σ = √σ²",{"_168":14604,"_202":14605,"_1212":14273,"_1214":14606,"_1216":14607,"_1218":14608,"_1078":2493,"_1080":14609,"_1082":14610,"_1084":14611},"Über den Standardabweichung-Rechner","Berechne Streuungsmaße für einen Datensatz. Standardabweichung misst, wie weit die Werte vom Mittelwert entfernt sind.","Niedrige Standardabweichung bedeutet, dass Werte nahe am Mittelwert liegen","Hohe Standardabweichung bedeutet, dass Werte weit gestreut sind","Stichproben-Standardabweichung (n-1) korrigiert Verzerrung bei Schätzung von Populationsparametern","Qualitätskontrolle in der Fertigung","Risikobewertung in der Finanzwelt","Datenanalyse in der wissenschaftlichen Forschung","tools/statistical-calculator",{"_168":14614,"_202":14615,"_139":14616,"_964":14621,"_968":14625,"_57":14628,"_931":14634},"Statistik-Rechner","Berechne statistische Maßzahlen aus einer Zahlenreihe",{"_14617":14618,"_14619":14620},"oneTo10","1-10","mixed","Gemischt",{"_14622":14623,"_2823":14624},"enterNumbers","Gib Zahlen ein (durch Komma oder Leerzeichen getrennt)","1, 2, 3, 4, 5",{"_14626":14627},"calculateStatistics","Statistiken berechnen",{"_7252":7253,"_14578":14579,"_1812":14629,"_11268":11269,"_1521":1522,"_14630":14631,"_11283":11284,"_14632":12249,"_14633":12250,"_1814":14577,"_1816":14576},"Mittelwert (Durchschnitt)","modeNone","Keine","minimum","maximum",{"_168":14635,"_1812":14636,"_11268":14637,"_1521":14638,"_11283":14639,"_1814":14640,"_1816":14641},"Statistische Maßzahlen erklärt","Mittelwert: Der Durchschnitt aller Zahlen","Median: Der mittlere Wert bei sortierten Zahlen","Modus: Die am häufigsten vorkommende(n) Zahl(en)","Spannweite: Die Differenz zwischen Max und Min","Varianz: Durchschnitt der quadrierten Abweichungen vom Mittelwert","Standardabweichung: Quadratwurzel der Varianz, misst Streuung","tools/stoichiometry-calculator",{"_168":14644,"_202":14645,"_964":14646,"_1120":14655,"_1153":14662,"_14656":14666,"_14658":14672,"_14660":14679,"_57":14684,"_553":14716,"_139":14724,"_384":14729,"_931":14735},"Stöchiometrie-Rechner","Berechne Reaktanten, Produkte, limitierende Reagenzien und prozentuale Ausbeute in chemischen Reaktionen",{"_1521":1305,"_5479":14647,"_1820":2794,"_8242":14648,"_14649":14650,"_14651":14652,"_5790":1636,"_14653":14654,"_11576":1640,"_30":31},"Koeffizient","z.B. H2","formulaPlaceholder2","z.B. H2O","formulaPlaceholder3","z.B. O2","amountGrams","Menge (g)",{"_14656":14657,"_14658":14659,"_14660":14661},"stoichiometry","Stöchiometrie","limiting","Limitierender Reaktant","yield","Prozentuale Ausbeute",{"_8268":8302,"_6369":14663,"_8271":8272,"_14664":14665},"Mol","liters","Liter (Gas)",{"_168":14667,"_14668":14669,"_14670":14671},"Stöchiometrie-Berechnung","knownSubstance","Bekannte Substanz","unknownSubstance","Unbekannte Substanz",{"_168":14659,"_14673":14674,"_14675":14676,"_14677":14678},"reactant1","Reaktant 1","reactant2","Reaktant 2","product","Produkt",{"_168":14661,"_14680":14681,"_14682":14683},"actual","Tatsächliche Ausbeute (g)","theoretical","Theoretische Ausbeute (g)",{"_14685":14686,"_14687":14688,"_14689":14690,"_14691":14692,"_3258":3259,"_14693":14694,"_14695":14659,"_14696":14697,"_14698":14699,"_14700":14701,"_2271":14702,"_14703":14704,"_14705":14661,"_14706":14707,"_14708":14709,"_14710":14711,"_14712":14713,"_14714":14715},"stoichiometryTitle","Stöchiometrie-Ergebnis","amountOf","Menge von","knownMoles","Bekannte Mol","unknownMoles","Unbekannte Mol","limitingTitle","Limitierender Reaktant Ergebnis","limitingReactant","excessReactant","Überschüssiger Reaktant","theoreticalYield","Theoretische Ausbeute","excessRemaining","Überschuss verbleibend","Reaktanten-Analyse","yieldTitle","Prozentuale Ausbeute Ergebnis","percentYield","yieldExceeds","Ausbeute überschreitet theoretische (experimenteller Fehler oder unreines Produkt)","yieldExcellent","Ausgezeichnete Ausbeute","yieldGood","Gute Ausbeute","yieldModerate","Moderate Ausbeute","yieldLow","Niedrige Ausbeute",{"_14717":14718,"_6369":14663,"_14719":14720,"_501":502,"_14658":14721,"_14722":14723},"reactant","Reaktant","molesNeeded","Benötigte Mol","Limitierend","excess","Überschuss",{"_14725":14726,"_14727":14728},"waterSynthesis","Wasser-Synthese","combustion","Methan-Verbrennung",{"_14730":14731,"_8276":14732,"_4467":4468,"_14733":14734},"fillFields","Bitte fülle alle erforderlichen Felder aus","Ungültige Formel oder Berechnungsfehler","zeroTheoretical","Theoretische Ausbeute kann nicht null sein",{"_168":14736,"_202":14737,"_5368":3259,"_2404":14738,"_2406":14739,"_2408":14740},"Über den Stöchiometrie-Rechner","Stöchiometrie ist die Berechnung von Reaktanten und Produkten in chemischen Reaktionen unter Verwendung des Molverhältnisses aus ausgeglichenen Gleichungen.","Konvertiere gegebene Menge in Mol","Nutze Molverhältnis, um Mol der Unbekannten zu finden","Konvertiere Mol in gewünschte Einheiten","tools/stopwatch",{"_168":14743,"_202":14744,"_968":14745,"_14749":14750,"_931":14756},"Stoppuhr","Online-Stoppuhr mit Rundenzeiten und Millisekunden-Präzision",{"_2998":2999,"_77":14746,"_14747":14748,"_26":27},"Stopp","lap","Runde","laps",{"_168":14751,"_14752":14753,"_5574":14754,"_1683":14755},"Rundenzeiten ({{count}})","lapNumber","Runde {{number}}","+{{minutes}}:{{seconds}}.{{milliseconds}}","{{hours}}:{{minutes}}:{{seconds}}.{{milliseconds}}",{"_168":14757,"_202":14758,"_3046":3047,"_3899":14759,"_3901":14760,"_3903":14761,"_3905":14762,"_3907":14763},"So verwendest du diese Stoppuhr","Klicke Start, um die Zeitmessung zu beginnen, Stopp zum Pausieren und Zurücksetzen zum Löschen des Timers. Nutze den Runden-Button während des Laufens, um Zwischenzeiten aufzuzeichnen, ohne die Stoppuhr anzuhalten.","Millisekunden-Präzision","Unbegrenzte Rundenaufzeichnungen","Zeigt sowohl Rundendauer als auch Gesamtzeit","Klares, leicht lesbares Display","Perfekt für Sport, Workouts und Zeitrennen","tools/sudoku-game",{"_168":14766,"_202":14767,"_8153":14768,"_915":916,"_14769":14770,"_917":8160,"_8164":8165,"_926":14771,"_931":14774},"Sudoku","Spielen Sie das klassische Sudoku-Puzzle-Spiel - füllen Sie das Raster mit Logik!",{"_8155":8156,"_5870":8157,"_8158":8159},"noteMode","Notizen",{"_928":14772,"_311":14773},"Klicken Sie auf ein Feld, dann tippen Sie 1-9, um es zu füllen. Drücken Sie N, um den Notizmodus umzuschalten. Verwenden Sie die Pfeiltasten zur Navigation.","Tippen Sie auf ein Feld, dann tippen Sie eine Zahl, um es zu füllen. Verwenden Sie den Notizen-Button, um Kandidatenzahlen hinzuzufügen.",{"_168":14775,"_202":14776,"_935":8173,"_937":14777,"_939":14778,"_941":14779,"_945":946,"_947":14780,"_949":14781,"_951":14782},"Über Sudoku","Sudoku ist ein logikbasiertes Zahlenrätsel. Füllen Sie das 9×9-Raster so aus, dass jede Zeile, Spalte und 3×3-Box die Ziffern 1-9 ohne Wiederholung enthält.","Jede Zeile muss die Zahlen 1-9 ohne Wiederholung enthalten","Jede Spalte muss die Zahlen 1-9 ohne Wiederholung enthalten","Jede 3×3-Box muss die Zahlen 1-9 ohne Wiederholung enthalten","Verwenden Sie den Notizmodus, um mögliche Kandidaten für jedes Feld zu markieren","Suchen Sie nach Zeilen, Spalten oder Boxen, die fast vollständig sind","Wenn eine Zahl nur an einer Stelle in einer Zeile/Spalte/Box sein kann, platzieren Sie sie dort","tools/sunrise-sunset-calculator",{"_168":14785,"_202":14786,"_964":14787,"_968":14793,"_57":14797,"_501":14829,"_139":14836,"_931":14846},"Sonnenauf- & -untergang-Rechner","Berechne Sonnenaufgang, Sonnenuntergang und Tageslichtstunden für jeden Ort und jedes Datum",{"_5180":14788,"_14789":14790,"_1659":1595,"_14791":14792},"Standort","locationPlaceholder","Gib Stadt oder Koordinaten ein (lat, lng)","useCurrentLocation","Meinen aktuellen Standort nutzen",{"_30":14794,"_8384":8385,"_14795":14796},"Sonnenzeiten berechnen","tomorrow","Morgen",{"_168":14798,"_14799":14800,"_10459":10460,"_14801":14802,"_14803":14804,"_14805":14806,"_14807":14808,"_14809":14810,"_14811":14812,"_14813":14814,"_14815":14816,"_14817":14818,"_14819":14820,"_14821":14822,"_14823":14824,"_14825":14826,"_14827":14828},"Sonnenzeiten","sunrise","Sonnenaufgang","solarNoon","Sonnenhöchststand","dayLength","Tageslänge","civilDawn","Bürgerliche Morgendämmerung","civilDusk","Bürgerliche Abenddämmerung","nauticalDawn","Nautische Morgendämmerung","nauticalDusk","Nautische Abenddämmerung","astronomicalDawn","Astronomische Morgendämmerung","astronomicalDusk","Astronomische Abenddämmerung","goldenHourMorning","Goldene Stunde (AM)","goldenHourEvening","Goldene Stunde (PM)","timezone","Zeitzone","goldenHourTitle","Goldene Stunde (Beste für Fotografie)","twilightTimesTitle","Dämmerungszeiten","currentLocation","Aktueller Standort",{"_18":14830,"_14831":14832,"_14833":14834,"_4022":14835},"Berechne...","gettingLocation","Ermittle deinen Standort...","locationError","Standort konnte nicht ermittelt werden. Bitte gib ihn manuell ein.","Sonnenzeiten konnten nicht berechnet werden. Bitte überprüfe deinen Standort.",{"_168":14837,"_14838":14839,"_14840":14841,"_14842":14843,"_14844":14845},"Beliebte Orte","newYork","New York","london","London","tokyo","Tokio","sydney","Sydney",{"_168":14847,"_202":14848,"_1587":14849,"_14850":14851,"_14852":14853,"_14854":14855,"_14856":14857,"_14858":14859,"_14860":14861,"_14862":14863,"_14864":14865,"_1078":2493,"_1080":14866,"_1082":14867,"_1084":14868,"_1086":14869,"_1088":14870,"_1227":1228,"_947":14871,"_949":14872,"_951":14873},"Über den Sonnenauf- & -untergang-Rechner","Berechne präzise Sonnenaufgangs- und Sonnenuntergangszeiten für jeden Ort der Welt. Enthält auch Dämmerungszeiten und goldene Stunde für Fotografen.","Dämmerungstypen","term1Title","Bürgerliche Dämmerung","term1Desc","Sonne ist 0-6° unter dem Horizont. Genug Licht für die meisten Outdoor-Aktivitäten ohne künstliche Beleuchtung.","term2Title","Nautische Dämmerung","term2Desc","Sonne ist 6-12° unter dem Horizont. Horizont auf See noch sichtbar, viele Sterne sichtbar.","term3Title","Astronomische Dämmerung","term3Desc","Sonne ist 12-18° unter dem Horizont. Himmel dunkel genug für die meisten astronomischen Beobachtungen.","term4Title","Goldene Stunde","term4Desc","Zeitraum kurz nach Sonnenaufgang und vor Sonnenuntergang, wenn Tageslicht weicher, wärmer und ideal für Fotografie ist.","Planung von Fotosessions","Planung von Outdoor-Aktivitäten","Bestimmung von Gebetszeiten","Planung von Reiserouten","Astronomische Beobachtungen","Goldene Stunde ist typischerweise die Stunde nach Sonnenaufgang und vor Sonnenuntergang","Zeiten passen sich automatisch an Sommerzeit an","Hohe Breitengrade können Mitternachtssonne oder Polarnacht erleben","tools/svg-extractor",{"_168":14876,"_202":14877,"_139":14878,"_964":14885,"_968":14888,"_384":14891,"_57":14895,"_931":14906},"SVG-Extraktor","Extrahiere alle SVG-Dateien von jeder Webseite",{"_14879":14880,"_14881":14882,"_14883":14884},"github","GitHub","devTo","Dev.to","tailwind","Tailwind CSS",{"_185":6616,"_14886":14887},"urlHelper","Gib die URL der Webseite ein, von der SVGs extrahiert werden sollen",{"_11011":14889,"_11079":14890,"_24":25},"SVGs extrahieren","Extrahiere SVGs...",{"_6647":6652,"_10998":14892,"_14893":14894,"_13926":13927},"Extraktion von SVGs fehlgeschlagen","noSvgs","Keine SVG-Dateien auf dieser Webseite gefunden",{"_14896":14897,"_14898":14899,"_14900":14897,"_14901":14899,"_14902":14903,"_14904":14905},"found","{{count}} SVG gefunden","found_other","{{count}} SVGs gefunden","foundSvgs","foundSvgs_other","inline","Inline-SVG","external","Externes SVG",{"_168":14907,"_202":14908,"_3046":3047,"_3899":14909,"_3901":14910,"_3903":14911,"_3905":14912,"_3907":14913,"_4175":2840,"_4177":14914,"_4179":14915,"_4181":14916,"_4183":14917},"So verwendest du den SVG-Extraktor","Extrahiere alle SVG-Grafiken von jeder Webseite, einschließlich sowohl eingebetteter Inline-SVGs im HTML als auch externer SVG-Dateien. Perfekt für Designer und Entwickler.","Extrahiere sowohl Inline- als auch externe SVG-Dateien","Vorschau von SVGs vor dem Herunterladen","Einzelnes Herunterladen von SVGs","Zeigt SVG-Dimensionen, wenn verfügbar","Identifiziert Inline vs. externe SVGs","Vektor-Logos und Icons von Websites herunterladen","SVG-Illustrationen für Designprojekte extrahieren","Inline-SVGs von Webseiten speichern","Vektorgrafiken für Präsentationen sammeln","tools/svg-optimizer",{"_168":14920,"_202":14921,"_14922":14923,"_3542":14924,"_14925":14926,"_14927":14928,"_14929":14930,"_5137":14931,"_57":14932,"_1048":14950,"_384":14953,"_931":14955},"SVG-Optimierer","Optimiere und komprimiere SVG-Dateien für bessere Performance","chooseFile","SVG-Datei wählen","ODER","pasteLabel","SVG-Code einfügen","pastePlaceholder","","optimizeButton","SVG optimieren","Dein SVG wird lokal verarbeitet - niemals auf einen Server hochgeladen",{"_5559":14933,"_14934":14935,"_10852":10866,"_14936":14937,"_14938":14939,"_14940":14941,"_14942":14943,"_14944":14945,"_14946":21,"_11730":14947,"_14948":14949},"Erfolgreich optimiert!","reducedBy","Reduziert um {{percent}}%","optimizedSize","Optimierte Größe","bytesSaved","Bytes gespart","originalPreview","Original-Vorschau","optimizedPreview","Optimierte Vorschau","optimizedCode","Optimierter SVG-Code","copyButton","Optimierte Version herunterladen","optimizeAnother","Weitere optimieren",{"_168":14951,"_299":14952},"Lade ein SVG hoch oder füge es ein, um es zu optimieren","Reduziere Dateigröße und verbessere Performance",{"_6697":14954},"Bitte wähle eine gültige SVG-Datei",{"_168":14956,"_14957":14958,"_14959":6275,"_14960":14961,"_14962":14963,"_14964":14965,"_14966":14967,"_14968":14969,"_14970":14971,"_14972":14973,"_14974":14975,"_14976":14977,"_14978":14979,"_14980":14981,"_6258":14982,"_11749":14983,"_11751":14984,"_11753":14985,"_11755":14986,"_11757":14987,"_11759":14988,"_11761":14989,"_11763":14990,"_2450":2451,"_2452":14991,"_2454":14992,"_2456":14993,"_2458":14994,"_2460":14995},"Über SVG-Optimierung","whatRemovedTitle","Was entfernt wird","commentsLabel","commentsText","XML-Kommentare, die für Rendering nicht benötigt werden","metadataLabel","Metadaten","metadataText","Editor-spezifische Daten (Illustrator, Inkscape, Sketch)","emptyElementsLabel","Leere Elemente","emptyElementsText","Gruppen und Elemente ohne Inhalt","whitespaceLabel","Leerzeichen","whitespaceText","Unnötige Leerzeichen und Zeilenumbrüche","precisionLabel","Präzision","precisionText","Rundet Zahlen auf sinnvolle Dezimalstellen","declarationsLabel","Deklarationen","declarationsText","XML-Deklarationen und DOCTYPE","Vorteile der Optimierung","Schnelleres Laden","Kleinere Dateien laden schneller auf Websites","Bessere Performance","Weniger Daten zum Parsen und Rendern","Reduzierte Bandbreite","Niedrigere Hosting- und CDN-Kosten","Verbessertes SEO","Schnellere Seitenladezeiten helfen Such-Rankings","Behalte immer die Original-SVG-Datei als Backup","Teste optimierte SVGs, um sicherzustellen, dass sie korrekt angezeigt werden","Nutze optimierte SVGs für Produktions-Websites","Erwäge, kleine SVGs direkt im HTML einzubetten","Kombiniere mit gzip-Kompression für noch kleinere Größen","tools/systems-of-equations-calculator",{"_168":14998,"_202":14999,"_964":15000,"_57":15005,"_2198":15011,"_14403":15014,"_139":15019,"_1190":15024,"_931":15026},"Gleichungssystem-Rechner","Löse lineare Gleichungssysteme mit Gauß-Elimination und Schritt-für-Schritt-Lösungen",{"_15001":15002,"_15003":15004},"numEquations","Anzahl der Gleichungen","augmentedMatrix","Erweiterte Matrix [A|b]",{"_168":7303,"_1151":1152,"_4209":4210,"_3258":15006,"_15007":15008,"_15009":15010},"Lösungsschritte","infiniteMessage","System hat unendlich viele Lösungen","noSolutionMessage","System hat keine Lösung (inkonsistent)",{"_15012":15013},"only2d","2D-Visualisierung nur für 2×2-Systeme",{"_15015":15016,"_15017":15018,"_7301":7303},"equation1","Gleichung 1","equation2","Gleichung 2",{"_15020":15021,"_15022":15023},"simple2x2","Einfaches 2×2","simple3x3","Einfaches 3×3",{"_168":13391,"_202":15025},"Nutzt Gauß-Elimination mit partieller Pivotisierung, um Ax = b zu lösen.",{"_168":15027,"_202":15028,"_1475":15029,"_1769":15030,"_1771":15031,"_1773":15032,"_4727":4826,"_4729":15033,"_4731":15034,"_4733":15035},"Über den Gleichungssystem-Rechner","Löse lineare Gleichungssysteme mit 2-4 Unbekannten. Der Rechner nutzt Gauß-Elimination mit partieller Pivotisierung für numerische Stabilität.","Lösungstypen","Eindeutige Lösung: Linien/Ebenen schneiden sich in genau einem Punkt","Unendlich viele Lösungen: Gleichungen sind abhängig (gleiche Linie/Ebene)","Keine Lösung: Gleichungen sind inkonsistent (parallele Linien/Ebenen)","Schaltungsanalyse (Kirchhoffsche Gesetze)","Wirtschaftsmodellierung und Optimierung","Computergrafik und 3D-Transformationen","tools/t-test-calculator",{"_168":15038,"_202":15039,"_964":15040,"_15063":15064,"_15071":15072,"_57":15077,"_384":15089,"_139":15092,"_1007":15098,"_931":15100},"t-Test-Rechner","Führe Einstichproben-, Zweistichproben- und gepaarte t-Tests mit Effektstärke und Konfidenzintervallen durch",{"_2900":2901,"_15041":15042,"_15043":2907,"_3490":15044,"_15045":3509,"_15046":15047,"_15048":15049,"_15050":15051,"_15052":1116,"_3487":3492,"_15053":3510,"_3517":3518,"_3519":3520,"_1812":3497,"_3498":15054,"_2388":1865,"_15055":15056,"_15057":15058,"_15059":15060,"_15061":15062},"alternative","Alternative Hypothese","alpha","Stichproben-Mittelwert (x̄)","sampleMeanPlaceholder","populationMean","Populations-Mittelwert (μ₀)","populationMeanPlaceholder","z.B. 70","sampleSD","Stichproben-Stdabw (s)","sampleSDPlaceholder","sampleSizePlaceholder","Stdabw","equalVariances","Gleiche Varianzen annehmen (gepoolter t-Test)","differences","Differenzen (durch Komma oder Leerzeichen getrennt)","differencesPlaceholder","z.B. 2, -1, 3, 0, 4, 1, 2","differencesHint","Gib die Differenzen (nachher - vorher) für jedes Paar ein","testTypes",{"_15065":15066,"_15067":15068,"_15069":15070},"one-sample","Einstichproben","two-sample","Zweistichproben","paired","Gepaart","alternatives",{"_15073":15074,"_13396":15075,"_13398":15076},"twoTailed","Zweiseitig (≠)","Linksseitig (<)","Rechtsseitig (>)",{"_15078":15079,"_2940":2939,"_2941":2942,"_2945":15080,"_2947":15081,"_15082":15083,"_15084":15085,"_3540":15086,"_15087":15088},"tStatistic","t-Statistik","H₀ ablehnen","H₀ kann nicht abgelehnt werden","significantResult","Das Ergebnis ist statistisch signifikant (p < {{alpha}})","notSignificant","Kein signifikanter Unterschied gefunden (p ≥ {{alpha}})","95% Konfidenzintervall","effectSize","Effektstärke (Cohen's d)",{"_15090":15091,"_4467":4468},"invalidSD","Standardabweichung muss positiv sein und n > 1",{"_15093":15094,"_15095":15096,"_15069":15097},"oneSample","Testergebnisse","twoSample","Gruppenvergleich","Vorher/Nachher",{"_1046":15099},"Gib Werte ein, um den t-Test durchzuführen",{"_168":15101,"_202":15102,"_1475":15103,"_1769":15104,"_1771":15105,"_1773":15106,"_2977":2978,"_2979":15107,"_2981":2982,"_2983":15108},"Über den t-Test-Rechner","Der t-Test ist ein statistischer Hypothesentest zur Bestimmung, ob ein signifikanter Unterschied zwischen Mittelwerten besteht. Dieser Rechner führt Einstichproben-, Zweistichproben- und gepaarte t-Tests mit Effektstärke (Cohen's d) und Konfidenzintervallen durch.","Testtypen","Einstichproben: Vergleiche Stichproben-Mittelwert mit bekanntem Populations-Mittelwert","Zweistichproben: Vergleiche Mittelwerte zweier unabhängiger Gruppen","Gepaart: Vergleiche Mittelwerte gepaarter Messungen (Vorher/Nachher-Messungen)","Daten sind annähernd normalverteilt (oder große Stichprobe)","Daten sind kontinuierlich","tools/taylor-series-calculator",{"_168":15111,"_202":15112,"_964":15113,"_57":15118,"_139":15137,"_931":15144},"Taylor-Reihen-Rechner","Berechne Taylor/Maclaurin-Reihen-Approximationen für häufige Funktionen mit Visualisierung",{"_15114":10540,"_1685":15115,"_15116":15117},"function","Anzahl der Terme","evaluateAt","Auswerten bei x =",{"_1151":15119,"_15120":15121,"_15122":15123,"_15124":15125,"_15126":15127,"_15128":15129,"_15130":15131,"_15132":15133,"_5479":14647,"_3239":15134,"_15135":15136},"Funktion vs. Polynom-Approximation","taylorPolynomial","Taylor-Polynom","taylorApprox","Taylor-Approximation","actualValue","Tatsächlicher Wert","absoluteError","Absoluter Fehler","percentError","Prozentualer Fehler","seriesExpression","Reihenausdruck","generalTerm","Allgemeiner Term","Potenz","termValue","Termwert",{"_15138":15139,"_15140":15141,"_15142":15143},"sinPi4","sin(π/4)","exp1","e^1","ln2","ln(2)",{"_168":15145,"_202":15146,"_6115":15147,"_15148":15149,"_15150":15151,"_15152":15153,"_15154":15155},"Über den Taylor-Reihen-Rechner","Eine Taylor-Reihe ist eine unendliche Summe von Termen, die eine Funktion als Polynom darstellt. Die Maclaurin-Reihe ist ein Spezialfall, der bei x=0 zentriert ist. Dieser Rechner zeigt, wie das Hinzufügen weiterer Terme die Approximation verbessert.","Häufige Taylor/Maclaurin-Reihen","convergenceTitle","Konvergenz","convergence1","sin(x) und cos(x) konvergieren für alle x","convergence2","e^x konvergiert für alle x","convergence3","ln(1+x) konvergiert für -1 < x ≤ 1","tools/tdee-calculator",{"_168":15158,"_202":15159,"_139":15160,"_1153":15164,"_1954":15167,"_964":15168,"_2590":15170,"_57":15179,"_931":15191,"_1007":15211},"TDEE-Rechner","Berechne deinen gesamten täglichen Energieverbrauch (TDEE)",{"_15161":15162,"_2599":15163},"activeAdult","Aktiver Erwachsener","Sehr aktiv",{"_1918":15165,"_1920":15166},"Imperial","Metrisch",{"_1923":1924,"_1925":1926},{"_2581":2582,"_1931":1932,"_1933":1934,"_15169":2586,"_1929":1930,"_2588":2589},"heightIn",{"_2592":15171,"_15172":15173,"_15174":15175,"_2599":15176,"_15177":15178},"Sitzend (Bürojob, wenig Bewegung)","lightlyActive","Leicht aktiv (leichtes Training 1-3 Tage)","moderatelyActive","Moderat aktiv (moderates Training 3-5 Tage)","Sehr aktiv (intensives Training 6-7 Tage)","extremelyActive","Extrem aktiv (Athlet, körperlicher Beruf)",{"_15180":15181,"_15182":15183,"_2602":15184,"_15185":15186,"_3433":3434,"_15187":15188,"_7820":7821,"_15189":15190},"yourTdee","Dein TDEE","caloriesPerDay","Kalorien/Tag","Grundumsatz","weekly","Wöchentlich","lose1LbPerWeek","0,5 kg/Woche abnehmen","gain1LbPerWeek","0,5 kg/Woche zunehmen",{"_168":15192,"_15193":15194,"_15195":15196,"_6865":15197,"_15198":15199,"_15200":15201,"_15202":15203,"_15204":15205,"_15206":15207,"_947":15208,"_949":15209,"_951":15210},"TDEE verstehen","whatIsTdeeTitle","Was ist TDEE?","whatIsTdeeDesc","Total Daily Energy Expenditure (TDEE) ist die Gesamtzahl der Kalorien, die du täglich verbrennst, einschließlich deines Grundumsatzes plus Kalorien, die durch Aktivität und Training verbrannt werden.","Bestandteile des TDEE","bmrComponent","Grundumsatz (60-70%): Im Ruhezustand verbrannte Kalorien","tefComponent","TEF (10%): Thermischer Effekt der Nahrung (Verdauung)","neatComponent","NEAT (15-20%): Nicht-Sport-Aktivität (Gehen, Zappeln)","eatComponent","EAT (5-10%): Sport-Aktivitäts-Thermogenese","usingYourTdeeTitle","Deinen TDEE nutzen","Verfolge Nahrungsaufnahme für 2 Wochen bei TDEE","Passe basierend auf tatsächlichen Gewichtsveränderungen an","Berechne neu, wenn sich dein Gewicht ändert",{"_452":15212},"Enter your details to calculate TDEE","tools/terminal-velocity-calculator",{"_168":15215,"_202":15216,"_964":15217,"_57":15235,"_139":15266,"_1190":15275,"_1007":15276,"_931":15278},"Endgeschwindigkeit-Rechner","Berechne die Endgeschwindigkeit fallender Objekte mit Luftwiderstands-Analyse",{"_2764":1102,"_15218":15219,"_6029":15220,"_15221":15222,"_5487":2229,"_594":884,"_15223":15224,"_15225":15226,"_2366":15227},"dragCoefficient","Luftwiderstandsbeiwert","Querschnittsfläche (m²)","fluidDensity","Fluiddichte (kg/m³)","dragHint","Kugel: 0,47, Flach: 1,28","fluidDensityHint","Luft: 1,225, Wasser: 1000",{"_1665":1665,"_15228":15229,"_15230":15231,"_15232":2227,"_15233":15234,"_3803":12392},"dimensionless","dimensionslos","mSquared","m²","kgPerMCubed","mPerSSquared","m/s²",{"_15236":2238,"_15237":15238,"_15239":15240,"_15241":15242,"_15243":15244,"_15245":15246,"_15247":15248,"_15249":15250,"_1637":1638,"_15251":15252,"_15253":15254,"_15255":15256,"_15257":15258,"_15259":15260,"_1153":15261},"forceDiagram","metersPerSec","Meter/Sekunde","kmPerHour","km pro Stunde","milesPerHour","Meilen pro Stunde","fallAnalysis","Fall-Analyse","velocityAt","Geschwindigkeit bei","distanceAt","Distanz bei","timeToReach","Zeit bis Endgeschwindigkeit erreicht wird","drag","Luftwiderstand","atTerminalVelocity","Bei Endgeschwindigkeit:","weightEqualsDrag","Gewicht = Luftwiderstand","highReynolds","Hohe Reynolds-Zahl - turbulente Strömung angenommen","moderateReynolds","Moderate Reynolds-Zahl",{"_3803":12392,"_15262":11991,"_2769":3765,"_15263":15264,"_15265":15265,"_2264":2265},"mps","kmh","km/h","mph",{"_15267":15268,"_15269":15270,"_15271":15272,"_15273":15274},"skydiver","Fallschirmspringer (Bauchlage)","skydiverHead","Fallschirmspringer (Kopfvoran)","baseball","Baseball","parachute","Fallschirm",{"_168":1192},{"_1046":15277},"Gib gültige Werte ein, um die Endgeschwindigkeit zu berechnen",{"_168":15279,"_202":15280,"_12910":15281,"_15282":15283,"_15284":15285,"_15286":15287,"_15288":15289,"_6946":15290,"_1840":15291,"_1842":15292,"_1844":15293},"Über den Endgeschwindigkeit-Rechner","Endgeschwindigkeit wird erreicht, wenn die Luftwiderstandskraft der Gravitationskraft entspricht, wodurch die Nettobeschleunigung null wird. Das Objekt fällt dann mit konstanter Geschwindigkeit.","Schlüsselfaktoren","factor1","Masse - schwerere Objekte haben höhere Endgeschwindigkeit","factor2","Querschnittsfläche - größere Fläche bedeutet mehr Luftwiderstand","factor3","Luftwiderstandsbeiwert - hängt von Form und Oberflächenrauheit ab","factor4","Fluiddichte - dichtere Fluide erzeugen mehr Luftwiderstand","Beispiele aus der Praxis","Fallschirmspringer (Bauchlage): ~55 m/s (200 km/h)","Fallschirmspringer (Kopfvoran): ~90 m/s (320 km/h)","Regentropfen: ~9 m/s (32 km/h)","tools/terms-and-conditions-generator",{"_168":15296,"_202":15297,"_139":15298,"_964":15304,"_15309":15310,"_8954":15315,"_968":15323,"_164":15325,"_1532":15328,"_931":15332},"AGB-Generator","Generiere anpassbare Allgemeine Geschäftsbedingungen für deine Website oder deinen Service",{"_15299":12167,"_15300":15301,"_15302":15303},"ecommerceSite","saasApplication","SaaS-Anwendung","marketplacePlatform","Marktplatz-Plattform",{"_12173":12174,"_10746":7002,"_12175":12176,"_12177":12178,"_15305":15306,"_15307":15308},"serviceType","Service-Typ","countryJurisdiction","Land/Rechtsordnung","serviceTypes",{"_2362":15311,"_15312":15313,"_15314":12169,"_13056":13472},"Website","app","Mobile App","saas",{"_15316":9135,"_15317":15318,"_15319":9025,"_15320":8967,"_15321":15322},"us","uk","Vereinigtes Königreich","canada","australia","eu","Europäische Union",{"_34":15324,"_20":1531},"AGB generieren",{"_168":15326,"_170":15327},"Rechtlicher Hinweis:","Dies ist keine Rechtsberatung. Konsultiere einen qualifizierten Anwalt, um diese Bedingungen für deine spezifischen Bedürfnisse zu überprüfen und anzupassen.",{"_15329":15330,"_12199":15331},"generatedTerms","Generierte Allgemeine Geschäftsbedingungen","Du kannst die Bedingungen oben vor dem Kopieren bearbeiten",{"_168":15333,"_202":15334,"_2631":2632,"_2633":15335,"_2635":15336,"_2637":15337,"_2639":15338,"_12208":15339,"_15340":15341},"Über Allgemeine Geschäftsbedingungen","Allgemeine Geschäftsbedingungen (auch Nutzungsbedingungen genannt) legen die Regeln und Richtlinien für die Nutzung deiner Website oder deines Service fest. Sie schützen dein Unternehmen und informieren Nutzer über ihre Rechte und Pflichten.","Dies ist eine Basisvorlage - passe sie für deine spezifischen Bedürfnisse an","Lass deine Bedingungen vor Veröffentlichung von einem Anwalt prüfen","Gesetze variieren je nach Rechtsordnung und Branche","Aktualisiere Bedingungen, wenn sich dein Geschäft oder deine Services ändern","Mache Bedingungen leicht zugänglich und klar sichtbar","note6","Berücksichtige Altersbeschränkungen, Datenschutz und Haftungsbegrenzungen","tools/text-case-converter",{"_168":15344,"_202":15345,"_13256":15346,"_15347":15348,"_139":15361,"_931":15372},"Groß-/Kleinschreibung-Konverter","Konvertiere Text in GROSSBUCHSTABEN, kleinbuchstaben, Titelschreibweise und mehr","Gib deinen Text hier ein oder füge ihn ein...","processors",{"_10575":15349,"_10577":15350,"_15351":15352,"_15353":15354,"_15355":15355,"_15356":15357,"_15358":15359,"_8035":15360},"GROSSBUCHSTABEN","kleinbuchstaben","titleCase","Titelschreibweise","sentenceCase","Satzschreibweise","camelCase","snakeCase","snake_case","kebabCase","kebab-case","INVERTIERT",{"_10577":15362,"_15363":15364,"_10575":15365,"_15366":15367,"_15368":15369,"_15370":15371},"Kleinbuchstaben","lowercaseText","hallo welt","Grossbuchstaben","uppercaseText","HALLO WELT","mixedCase","Gemischte Schreibweise","mixedCaseText","diesen text in snake case umwandeln",{"_168":15373,"_10575":15374,"_10577":15375,"_15351":15376,"_15353":15377,"_15355":15378,"_15356":15379,"_15358":15380},"Schreibweisen-Konvertierungs-Anleitung","• GROSSBUCHSTABEN: ALLE BUCHSTABEN GROSS GESCHRIEBEN","• kleinbuchstaben: alle buchstaben klein geschrieben","• Titelschreibweise: Erster Buchstabe Jedes Wortes Groß","• Satzschreibweise: Erster buchstabe von sätzen groß geschrieben","• camelCase: erstesWortKleinRestGroß (Programmierung)","• snake_case: woerter_durch_unterstriche_getrennt (Programmierung)","• kebab-case: woerter-durch-bindestriche-getrennt (URLs)","tools/text-encrypt-decrypt",{"_168":15383,"_202":15384,"_139":15385,"_1120":15388,"_964":15393,"_968":15405,"_57":15412,"_384":15415,"_1466":15422,"_931":15427},"Text Ver-/Entschlüsseln","Verschlüssle und entschlüssle Text mit Passwortschutz",{"_15386":15387},"encryptMessage","Nachricht verschlüsseln",{"_15389":15390,"_15391":15392},"encrypt","🔒 Verschlüsseln","decrypt","🔓 Entschlüsseln",{"_15394":15395,"_15396":15397,"_1443":15398,"_15399":15400,"_378":379,"_15401":15402,"_15403":15404},"textToEncrypt","Zu verschlüsselnder Text","encryptedText","Verschlüsselter Text","Gib deine geheime Nachricht hier ein...","encryptedPlaceholder","Füge verschlüsselten Text hier ein (beginnt mit ENC1:)...","passwordPlaceholder","Gib ein starkes Passwort ein","passwordHelper","Nutze dasselbe Passwort zum Ver- und Entschlüsseln",{"_15406":15407,"_15408":15409,"_15410":15411},"encryptText","🔒 Text verschlüsseln","decryptText","🔓 Text entschlüsseln","copyResult","Ergebnis kopieren",{"_15396":15397,"_15413":15414},"decryptedText","Entschlüsselter Text",{"_15416":15417,"_15418":15419,"_15420":15421},"enterText","Bitte gib Text zum {{mode}} ein","enterPassword","Bitte gib ein Passwort ein","failedToProcess","{{mode}} fehlgeschlagen: {{message}}",{"_15423":15424,"_15425":15426},"encryptWarning","Wichtig: Speichere diesen verschlüsselten Text und dein Passwort. Du benötigst beides, um die Nachricht später zu entschlüsseln.","decryptSuccess","Erfolg! Deine Nachricht wurde entschlüsselt.",{"_168":15428,"_6001":15429,"_2879":2880,"_6940":15430,"_6942":15431,"_6944":15432,"_15433":15434,"_15435":15436,"_15437":15438,"_15439":15440,"_15441":15442,"_15443":15444,"_4175":8665,"_4177":15445,"_4179":15446,"_4181":15447,"_4183":15448},"Über Text-Verschlüsselung","Sicherheitshinweis: Dieses Tool nutzt clientseitige Verschlüsselung für Bildungszwecke und einfache Sicherheitsbedürfnisse. Für sensible Daten nutze professionelle Verschlüsselungstools und sichere Übertragungsmethoden.","Dein Text und Passwort verlassen niemals deinen Browser","Verschlüsselung wird vollständig clientseitig mit JavaScript durchgeführt","Dasselbe Passwort muss für Ver- und Entschlüsselung verwendet werden","howItWorks4","Verschlüsselter Text beginnt mit \"ENC1:\", um das Format zu identifizieren","passwordTipsTitle","Passwort-Tipps","passwordTip1","Nutze ein starkes, einzigartiges Passwort (Mix aus Buchstaben, Zahlen, Symbolen)","passwordTip2","Längere Passwörter (12+ Zeichen) sind sicherer","passwordTip3","Teile dein Passwort nicht über unsichere Kanäle","passwordTip4","Merke oder speichere dein Passwort sicher - es kann nicht wiederhergestellt werden","Schütze persönliche Notizen und Tagebucheinträge","Teile sensible Informationen über öffentliche Kanäle","Speichere Passwörter oder API-Schlüssel in verschlüsselter Form","Übe Verschlüsselungskonzepte zum Lernen","tools/text-reverser",{"_168":15451,"_202":15452,"_139":15453,"_964":15466,"_1120":15470,"_57":15471,"_931":15474},"Text-Umkehrer","Kehre deinen Text auf mehrere Arten um",{"_15454":15455,"_15456":15457,"_15458":15459,"_15460":15461,"_15462":15463,"_15464":15465},"entireText","Gesamten Text umkehren","entireTextExample","Hallo Welt!\nDies ist ein Test.","eachLine","Jede Zeile umkehren","eachLineExample","Erste Zeile\nZweite Zeile\nDritte Zeile","eachWord","Jedes Wort umkehren","eachWordExample","Hallo Welt\nWie geht es dir heute",{"_1441":15467,"_1443":15468,"_1097":15469},"Umzukehrender Text","Gib umzukehrenden Text ein...","Umkehrmodus",{"_15454":15455,"_15458":15459,"_15462":15463},{"_1304":15472,"_1538":15473},"Umgekehrter Text","Zeichen: {{count}}",{"_168":15475,"_202":15476,"_6079":15477,"_15478":15455,"_15479":15480,"_15481":15459,"_15482":15483,"_15484":15463,"_15485":15486,"_15487":15488,"_15489":15490},"So verwendest du den Text-Umkehrer","Füge deinen Text ein oder tippe ihn, wähle einen Umkehrmodus und erhalte sofort umgekehrte Ergebnisse. Großartig zum Erstellen von Spiegeltext, Worträtseln oder einfach zum Experimentieren mit Textmanipulation.","Umkehrmodi","mode1Title","mode1Desc","Kehrt alle Zeichen einschließlich Zeilenumbrüche um","mode2Title","mode2Desc","Kehrt Zeichen innerhalb jeder Zeile separat um","mode3Title","mode3Desc","Kehrt jedes Wort einzeln um, behält Wortreihenfolge bei","mode4Title","Sofort-Vorschau","mode4Desc","Sieh Ergebnisse beim Tippen aktualisieren","tools/text-to-speech",{"_168":15493,"_202":15494,"_139":15495,"_964":15504,"_2996":15511,"_968":15518,"_501":15523,"_931":15526},"Text-zu-Sprache","Konvertiere Text in natürliche Sprache mit anpassbaren Stimmen",{"_446":15496,"_15497":15498,"_2379":15499,"_15500":5831,"_15501":15502,"_13111":15503},"Willkommensnachricht","welcomeText","Hallo! Willkommen beim Text-zu-Sprache-Tool. Probieren Sie die Einstellungen für Stimme, Geschwindigkeit und Tonhöhe aus!","Klassische Phrase","classicText","test","Audio testen","Test, eins, zwei, drei. Können Sie mich klar hören?",{"_1441":15505,"_2823":15506,"_15507":15508,"_15509":5054,"_505":15510},"Zu sprechender Text","Gib hier Text ein, um ihn in Sprache umzuwandeln...","voiceLabel","Stimme","defaultVoice","{{characters}} Zeichen, ~{{words}} Wörter",{"_12856":12857,"_5490":15512,"_303":12862,"_7236":15513,"_7238":15514,"_14358":12016,"_15515":15516,"_6367":15517},"Normal","Niedrig","Hoch","pitch","Tonhöhe","Lautstärke",{"_15519":15520,"_3000":3001,"_15521":15522,"_77":14746},"speak","Sprechen","resume","Fortsetzen",{"_15524":15525,"_14199":14200},"speaking","Spricht...",{"_168":15527,"_202":15528,"_3046":3047,"_3899":15529,"_3901":15530,"_3903":15531,"_3905":15532,"_3907":15533,"_15534":15535,"_1078":2493,"_1080":15536,"_1082":15537,"_1084":15538,"_1086":15539,"_1088":15540,"_1227":1228,"_947":15541,"_949":15542,"_951":15543,"_1419":15544,"_3460":15545},"Über Text-zu-Sprache","Konvertiere jeden Text in natürlich klingende Sprache mit der eingebauten Sprachsynthese deines Browsers. Perfekt für Barrierefreiheit, Korrekturlesen oder Inhaltskonsum.","Mehrere Stimmen in verschiedenen Sprachen und Akzenten","Anpassbare Sprechgeschwindigkeit von 0,5x bis 2x","Anpassbare Tonhöhe für verschiedene Stimmcharakteristiken","Lautstärkeregelung von 0% bis 100%","Pause-, Fortsetzen- und Stopp-Kontrollen","feature6","Funktioniert vollständig in deinem Browser - kein Server benötigt","Korrekturlesen von Dokumenten durch Anhören","Barrierefreiheit für sehbehinderte Nutzer","Lernen der Aussprache neuer Wörter oder Sprachen","Erstellen von Audio-Inhalten aus geschriebenem Text","Multitasking - zuhören während anderer Arbeit","Nutze Zeichensetzung, um Pausen und Intonation zu steuern","Verlangsame die Geschwindigkeit für besseres Verständnis","Probiere verschiedene Stimmen aus, um die natürlichste zu finden","Passe Tonhöhe an, um die Stimme jünger oder älter klingen zu lassen","Verfügbare Stimmen hängen von deinem Betriebssystem und Browser ab","tools/thermal-expansion-calculator",{"_168":15548,"_202":15549,"_964":15550,"_12444":15564,"_57":15568,"_139":15574,"_1190":15581,"_1007":15585,"_931":15587,"_5511":15596,"_1151":15620},"Wärmeausdehnung-Rechner","Berechne lineare, Flächen- und Volumenausdehnung von Materialien durch Temperaturänderung",{"_15551":15552,"_15553":15554,"_15555":15556,"_5479":15557,"_15558":15559,"_15560":15561,"_15562":15563},"expansionType","Ausdehnungstyp","material","Material","initialSize","Anfangsgröße","Koeffizient (×10⁻⁶ /°C)","coefficientPlaceholder","×10⁻⁶ /°C","initialTemp","Anfangstemperatur (°C)","finalTemp","Endtemperatur (°C)",{"_5708":15565,"_6029":15566,"_6367":15567},"Linear (ΔL)","Fläche (ΔA)","Volumen (ΔV)",{"_15555":15556,"_15569":15570,"_1177":15571,"_15572":11198,"_15573":6059},"finalSize","Endgröße","Änderung (Δ)","percentChange","tempChange",{"_15575":15576,"_15577":15578,"_15579":15580},"aluminumBar","Aluminiumstab","steelRail","Stahlschiene","copperSheet","Kupferplatte",{"_168":1192,"_5708":15582,"_6029":15583,"_6367":15584},"Linear: ΔL = L₀αΔT","Fläche: ΔA ≈ A₀(2α)ΔT","Volumen: ΔV ≈ V₀(3α)ΔT",{"_1046":15586},"Gib Werte ein, um Wärmeausdehnung zu berechnen",{"_168":15588,"_202":15589,"_2869":15590,"_15591":15592,"_4727":4826,"_4729":15593,"_4731":15594,"_4733":15595},"Über den Wärmeausdehnung-Rechner","Wenn Materialien erhitzt werden, dehnen sie sich aus, da Atome stärker schwingen und mehr Platz einnehmen. Der Wärmeausdehnungskoeffizient (α) beschreibt, wie stark sich ein Material pro Grad Temperaturänderung ausdehnt.","Lineare Ausdehnungskoeffizienten","coefficientsUnits","Werte in ×10⁻⁶ /°C","Entwerfen von Brücken und Gebäuden mit Dehnungsfugen","Fügen von Teilen durch thermisches Schrumpfen","Verstehen von Bimetallstreifen in Thermostaten",{"_15597":15598,"_15599":15600,"_15601":15602,"_15603":15604,"_2858":15605,"_15606":15607,"_15608":15609,"_15610":15611,"_15612":15613,"_15614":15615,"_15616":15617,"_15618":15619,"_2215":2216},"aluminum","Aluminium","brass","Messing","copper","Kupfer","gold","Gold","Eisen","lead","Blei","nickel","Nickel","platinum","Platin","silver","Silber","steel","Stahl","glass","Glas","concrete","Beton",{"_1380":4372,"_15621":15622,"_15623":15624},"expanded","Ausgedehnt","exaggeratedNote","(Ausdehnung zur Sichtbarkeit übertrieben dargestellt)","tools/time-addition-calculator",{"_168":15627,"_202":15628,"_139":15629,"_964":15636,"_3230":15642,"_57":15645,"_931":15661,"_594":15674,"_1007":15675},"Zeit-Additions-Rechner","Addiere oder subtrahiere Stunden, Minuten und Sekunden, um neue Zeit zu berechnen",{"_15630":15631,"_15632":15633,"_15634":15635},"addHours","+2,5 Stunden","movieRuntime","Film-Laufzeit","subtractHours","-3 Stunden",{"_15637":15638,"_3216":3217,"_3799":3800,"_15639":10778,"_3801":3802,"_15640":10778,"_3803":2670,"_15641":10778},"startTime","Startzeit","hoursPlaceholder","minutesPlaceholder","secondsPlaceholder",{"_129":15643,"_3233":15644},"Addieren","Subtrahieren",{"_15646":15647,"_15648":15649,"_15650":15651,"_15652":15653,"_15654":15655,"_15656":985,"_15657":15658,"_15659":15660},"result12Hour","Ergebniszeit (12-Stunden)","format24Hour","24-Stunden-Format","daysAdded","+{{days}} Tag","daysAdded_other","+{{days}} Tage","daysSubtracted","{{days}} Tag","daysSubtracted_other","addedDuration","{{duration}} hinzugefügt","subtractedDuration","{{duration}} subtrahiert",{"_168":15662,"_202":15663,"_6677":2493,"_15664":15665,"_15666":15667,"_15668":15669,"_15670":15671,"_15672":15673},"So verwendest du diesen Zeit-Additions-Rechner","Gib eine Startzeit ein und spezifiziere, wie viele Stunden, Minuten und Sekunden addiert oder subtrahiert werden sollen. Der Rechner zeigt die resultierende Zeit in sowohl 12-Stunden- als auch 24-Stunden-Format.","commonUse1","Berechne Meeting-Endzeiten","commonUse2","Addiere Film- oder Event-Dauern","commonUse3","Plane Pausen und Aktivitäten","commonUse4","Plane Koch- und Backzeiten","commonUse5","Berechne Reise-Ankunftszeiten",{"_3083":3084,"_3085":3086},{"_452":15676},"Enter times to calculate total","tools/time-zone-converter",{"_168":15679,"_202":15680,"_139":15681,"_15688":15689,"_964":15718,"_57":15723,"_931":15729},"Zeitzonen-Konverter","Konvertiere Zeit zwischen verschiedenen Zeitzonen weltweit",{"_15682":15683,"_15684":15685,"_15686":15687},"9amPstEst","9 Uhr PST → EST","2pmEstGmt","14 Uhr EST → GMT","10amUtcJst","10 Uhr UTC → JST","timezones",{"_15690":15691,"_15692":15693,"_15694":15695,"_15696":15697,"_15698":15699,"_15700":15701,"_5114":5115,"_15702":15703,"_15704":15705,"_15706":15707,"_15708":15709,"_15710":15711,"_15712":15713,"_15714":15715,"_15716":15717},"est","EST (Osten)","cst","CST (Zentral)","mst","MST (Berg)","pst","PST (Pazifik)","akst","AKST (Alaska)","hst","HST (Hawaii)","gmt","GMT (London)","cet","CET (Paris)","msk","MSK (Moskau)","gst","GST (Dubai)","ist","IST (Indien)","cstChina","CST (China)","jst","JST (Japan)","aedt","AEDT (Sydney)",{"_1594":1595,"_594":884,"_15719":15720,"_15721":15722},"fromTimeZone","Von Zeitzone","toTimeZone","Zu Zeitzone",{"_15724":15725,"_15726":15727,"_11941":15728},"convertedTime","Konvertierte Zeit","fullDateTime","Vollständiges Datum & Zeit","{{sourceDate}} {{sourceTime}} in {{sourceZone}} konvertiert zu {{targetDate}} {{targetTime}} in {{targetZone}}",{"_168":15730,"_202":15731,"_6677":2493,"_1080":15732,"_1082":15733,"_1084":15734,"_1086":15735,"_1088":15736},"So verwendest du diesen Zeitzonen-Konverter","Wähle ein Datum und eine Zeit in der Quellzeitzone, dann wähle, in welche Zeitzone du konvertieren möchtest. Perfekt zum Planen internationaler Meetings, Anrufe oder Events.","Plane internationale Meetings","Koordiniere mit Remote-Teams","Plane Reisen über Zeitzonen hinweg","Überprüfe Geschäftszeiten in verschiedenen Ländern","Konvertiere Event-Zeiten für globales Publikum","tools/tip-calculator",{"_168":15739,"_202":15740,"_139":15741,"_964":15748,"_15757":15758,"_3010":15763,"_57":15772,"_931":15777,"_1007":15790},"Trinkgeld-Rechner","Berechne Trinkgeld und teile Rechnungen einfach auf",{"_15742":15743,"_15744":15745,"_15746":15747},"casualDinner","Ungezwungenes Abendessen","groupDinner","Gruppenessen","soloLunch","Solo-Mittagessen",{"_15749":15750,"_15751":15752,"_15753":15754,"_15755":15756},"billAmount","Rechnungsbetrag (€)","billPlaceholder","0,00","tipPercentage","Trinkgeld-Prozentsatz ({{percent}}%)","numberOfPeople","Anzahl Personen","slider",{"_11264":15759,"_15760":15761,"_11272":15762},"0%","mid","15%","30%",{"_15764":13886,"_15765":15761,"_15766":15767,"_15768":15769,"_15770":15771},"10percent","15percent","18percent","18%","20percent","20%","25percent","25%",{"_15773":15774,"_1683":1684,"_15775":15776},"tipAmount","Trinkgeldbetrag","perPerson","Pro Person",{"_168":15778,"_202":15779,"_6600":15780,"_15764":15781,"_15765":15782,"_15783":15784,"_15785":15786,"_15787":15788,"_1276":15789},"So verwendest du den Trinkgeld-Rechner","Gib deinen Rechnungsbetrag ein, wähle deinen bevorzugten Trinkgeld-Prozentsatz, und wenn du die Rechnung aufteilst, gib die Anzahl der Personen ein. Der Rechner zeigt dir sofort den Trinkgeldbetrag, die Gesamtrechnung und den Betrag, den jede Person zahlen sollte.","Trinkgeld-Richtlinien","10%: Unterdurchschnittlicher Service","15%: Standard-/guter Service","18to20percent","18-20%: Großartiger Service (üblich in vielen Regionen)","20to25percent","20-25%: Außergewöhnlicher Service","25plusPercent","25%+: Herausragender Service oder besondere Anlässe","Hinweis: Trinkgeld-Gewohnheiten variieren je nach Standort. In den USA sind 15-20% für Restaurants Standard. Einige Einrichtungen können Trinkgeld automatisch für große Gruppen einbeziehen.",{"_452":15791},"Rechnungsbetrag eingeben, um Trinkgeld zu berechnen","tools/titration-calculator",{"_168":15794,"_202":15795,"_964":15796,"_2366":15808,"_12444":15811,"_57":15816,"_10537":15837,"_15845":15846,"_2390":15855,"_139":15863,"_1190":15870,"_1007":15877,"_931":15879},"Titrations-Rechner","Berechne Titrationskurven, Äquivalenzpunkte und pH für Säure-Base-Titrationen",{"_15797":15798,"_15799":15800,"_15801":15802,"_15803":15804,"_2110":15805,"_15806":15807},"titrationType","Titrationstyp","analyteConc","Analyt-Konzentration (M)","analyteVol","Analyt-Volumen (mL)","titrantConc","Titrant-Konzentration (M)","pKa der schwachen Säure","queryVolume","Berechne pH bei Volumen",{"_4486":15809,"_6367":15810,"_2110":2112},"M","mL",{"_15812":15813,"_15814":15815},"strongStrong","Starke Säure + Starke Base","weakStrong","Schwache Säure + Starke Base",{"_15817":15818,"_15819":15820,"_15821":15822,"_15823":15824,"_15825":15826,"_15827":15828,"_15829":15830,"_15831":15832,"_15833":15834,"_15835":15836},"equivalenceVol","Äquivalenzvolumen","equivalencePH","pH am Äquivalenzpunkt","initialPH","Anfangs-pH","halfEqPH","pH bei Halb-Äq. (= pKa)","titrationCurve","Titrationskurve","bufferRegion","Pufferregion (grün)","recommendedIndicator","Empfohlener Indikator","phAtVolume","pH = {{value}}","phRangeLabel","pH-Bereich: {{min}} - {{max}}","colorLabel","Farbe: {{acidColor}} → {{baseColor}}",{"_15838":15839,"_15840":2114,"_15841":15842,"_15843":15844},"xAxisLabel","Volumen des Titrants (mL)","yAxisLabel","equivalenceLabel","Äq.","halfEquivalenceLabel","½","indicators",{"_15847":15848,"_15849":15850,"_15851":15852,"_15853":15854},"methylOrange","Methylorange","bromothymolBlue","Bromthymolblau","phenolphthalein","Phenolphthalein","thymolBlue","Thymolblau",{"_3195":13723,"_15856":15857,"_3193":15858,"_15859":15860,"_15861":15862},"yellow","gelb","blau","colorless","farblos","pink","rosa",{"_15864":15865,"_15866":15867,"_15868":15869},"aceticAcid","Essigsäure + NaOH","hclNaoh","HCl + NaOH","formicAcid","Ameisensäure + NaOH",{"_168":14273,"_15871":15872,"_15873":15874,"_15875":15876},"equivalence","Äquivalenz: Mol Säure = Mol Base","henderson","Henderson-Hasselbalch: pH = pKa + log([A⁻]/[HA])","halfEq","Halb-Äquivalenz: pH = pKa",{"_1046":15878},"Gib Werte ein, um die Titrationskurve zu generieren",{"_168":15880,"_202":15881,"_1212":14273,"_1214":15882,"_1216":15883,"_1218":15884,"_1227":1228,"_947":15885,"_949":15886,"_951":15887},"Über den Titrations-Rechner","Titration ist eine Technik zur Bestimmung der Konzentration einer unbekannten Lösung durch Hinzufügen einer Lösung bekannter Konzentration, bis die Reaktion den Äquivalenzpunkt erreicht. Der pH ändert sich dramatisch nahe dem Äquivalenzpunkt.","Starke Säure + starke Base: pH = 7 am Äquivalenzpunkt","Schwache Säure + starke Base: pH > 7 am Äquivalenzpunkt aufgrund konjugierter Base","Pufferregion: pH ändert sich langsam (gut zum Puffern)","Die Pufferregion ist, wo sich pH langsam ändert","Bei Halb-Äquivalenz ist [HA] = [A⁻], also pH = pKa","Wähle einen Indikator, dessen Farbwechsel nahe dem Äquivalenz-pH erfolgt","tools/torque-lever-arm-calculator",{"_168":15890,"_202":15891,"_964":15892,"_1120":15905,"_15910":15911,"_2366":15914,"_57":15919,"_2198":15935,"_139":15936,"_1190":15943,"_1007":15944,"_931":15946},"Drehmoment & Hebelarm-Rechner","Berechne Drehmoment, analysiere Hebelarme und bestimme Rotationsgleichgewicht",{"_1521":1522,"_2093":2094,"_3684":3703,"_3690":15893,"_1261":15894,"_15895":15896,"_15897":15898,"_15899":15900,"_15901":15902,"_15903":15904},"Hebelarm (m)","Winkel (°)","torque","Drehmoment (N·m)","torquePlaceholder","N·m","clockwise","Im Uhrzeigersinn","forceNum","Kraft #{{n}}","addForce","Kraft hinzufügen",{"_15906":15907,"_15908":15909},"single","Einzelnes Drehmoment","multiple","Mehrere Kräfte","solveForOptions",{"_15895":15912,"_3684":3685,"_3690":15913,"_1261":11847},"Drehmoment (τ)","Hebelarm (r)",{"_15915":3703,"_15916":15917,"_15918":15894},"forceN","distanceM","Distanz (m)","angleDeg",{"_15920":15921,"_15922":15923,"_15924":15925,"_15899":15900,"_15926":15927,"_15928":15929,"_15930":15931,"_15895":15932,"_3684":3710,"_15933":15934,"_1261":1262},"effectiveLever","Effektiver Hebelarm","netTorque","Netto-Drehmoment","equilibrium","Gleichgewicht","counterclockwise","Gegen den Uhrzeigersinn","netClockwise","Netto im Uhrzeigersinn","netCounterclockwise","Netto gegen den Uhrzeigersinn","Drehmoment","leverArm","Hebelarm",{"_15924":15925},{"_15937":15938,"_15939":15940,"_15941":15942},"wrench","Schraubenschlüssel an Schraube","seesaw","Ausbalancierte Wippe","door","Türgriff",{"_168":1192},{"_1046":15945},"Gib Werte ein, um Drehmoment zu berechnen",{"_168":15947,"_202":15948,"_1212":14273,"_1214":15949,"_1216":15950,"_1218":15951,"_4727":4826,"_4729":15952,"_4731":15953,"_4733":15954},"Über den Drehmoment-Rechner","Drehmoment ist das rotatorische Äquivalent zur Kraft. Es hängt von der angewandten Kraft, dem Abstand vom Drehpunkt (Hebelarm) und dem Winkel zwischen ihnen ab. Der effektive Hebelarm ist r·sin(θ).","Maximales Drehmoment tritt auf, wenn Kraft senkrecht zum Hebelarm steht (90°)","Rotationsgleichgewicht: Netto-Drehmoment = 0","Vorzeichenkonvention: gegen Uhrzeigersinn (+), im Uhrzeigersinn (-)","Festziehen von Schrauben mit Schraubenschlüsseln","Ausbalancieren von Wippen und Hebeln","Motor- und Maschinenanalyse","tools/unit-converter",{"_168":15957,"_202":15958,"_139":15959,"_1899":15966,"_1153":15968,"_964":15995,"_968":15997,"_57":15998},"Einheiten-Konverter","Konvertiere zwischen verschiedenen Maßeinheiten",{"_15960":15961,"_15962":15963,"_15964":15965},"100cToF","100°C zu °F","5milesToKm","5 Meilen zu km","150lbsToKg","150 lbs zu kg",{"_6370":6371,"_3690":15967,"_1637":1638,"_6367":6368},"Entfernung",{"_15969":15970,"_15971":15972,"_15973":15974,"_2769":15975,"_15976":15977,"_15978":15979,"_1870":15980,"_1872":15981,"_15982":15983,"_15984":15985,"_15986":15987,"_8268":8269,"_14664":15988,"_15989":15990,"_15991":15992,"_15993":15994},"celsius","Celsius (°C)","fahrenheit","Fahrenheit (°F)","kelvin","Kelvin (K)","Meter (m)","kilometers","Kilometer (km)","miles","Meilen (mi)","Fuß (ft)","Zoll (in)","kilograms","Kilogramm (kg)","pounds","Pfund (lb)","ounces","Unzen (oz)","Liter (L)","milliliters","Milliliter (mL)","gallons","Gallonen (gal)","cups","Tassen",{"_1378":1676,"_1677":15996,"_7434":10778},"Zu",{"_32":33},{"_7432":15999},"{{value}}","tools/unit-price-calculator",{"_168":16002,"_202":16003,"_139":16004,"_2873":16017,"_964":16020,"_57":16023,"_968":16027,"_11334":16030,"_931":16042},"Stückpreis-Rechner","Vergleiche Preise pro Einheit, um das beste Angebot zu finden",{"_16005":16006,"_16007":16008,"_16009":16010,"_16011":16012,"_16013":16014,"_16015":16016},"cerealLabel","Müsli-Vergleich","cereal1","Müsli A: 3,99 € / 340 g","cereal2","Müsli B: 5,49 € / 510 g","towelsLabel","Küchenrollen","towels1","Packung A: 8,99 € / 6 Rollen","towels2","Packung B: 12,99 € / 12 Rollen",{"_16018":16019,"_28":29},"defaultName","Produkt {{number}}",{"_13013":16021,"_1635":1636,"_11576":1640,"_12590":15752,"_16022":10778},"Preis (€)","quantityPlaceholder",{"_12612":16024,"_16025":16026},"Stückpreis","bestDeal","Bestes Angebot!",{"_16028":16029,"_26":27},"addProduct","Produkt hinzufügen",{"_168":16031,"_16032":16033,"_16034":16035,"_16036":15710,"_16037":16038,"_16039":16040,"_1007":16041},"Vergleichs-Zusammenfassung","bestValue","bietet das beste Preis-Leistungs-Verhältnis bei","per","pro","moreExpensive","more","mehr","moreExpensivePercent","teurer","Add items to compare prices",{"_168":16043,"_2402":2403,"_16044":16045,"_16046":16047,"_16048":16049,"_16050":16051,"_16052":16053,"_16054":16055,"_16056":16057,"_16058":16059,"_16060":16061,"_16062":16063,"_16064":16065,"_16066":16067,"_16068":16069,"_16070":16071,"_16072":16073,"_16074":16075,"_16076":16077,"_16078":4572,"_947":16079,"_949":16080,"_951":16081,"_1419":16082,"_3460":16083,"_11431":16084},"So verwendest du den Stückpreis-Rechner","instruction1","Gib den Preis für jedes Produkt ein, das du vergleichen möchtest","instruction2","Gib die Menge (Größe) jedes Produkts ein","instruction3","Wähle die passende Einheit (g, kg, Stück, etc.)","instruction4","Der Rechner zeigt den Preis pro Einheit für jedes Produkt","instruction5","Das beste Angebot (niedrigster Stückpreis) wird hervorgehoben","instruction6","Füge weitere Produkte hinzu, um so viele Optionen wie gewünscht zu vergleichen","whyCompareTitle","Warum Stückpreise vergleichen?","whyCompare1Title","Finde bessere Angebote","whyCompare1","Größere Packungen sind nicht immer günstiger pro Einheit","whyCompare2Title","Spare Geld","whyCompare2","Kleine Preisunterschiede summieren sich mit der Zeit","whyCompare3Title","Intelligentes Einkaufen","whyCompare3","Treffe informierte Kaufentscheidungen","whyCompare4Title","Marken vergleichen","whyCompare4","Vergleiche einfach Markenprodukte vs. Handelsmarken-Preise","whyCompare5Title","Vermeide Verschwendung","whyCompare5","Manchmal sind kleinere Packungen das bessere Preis-Leistungs-Verhältnis","shoppingTipsTitle","Überprüfe immer Stückpreise, nicht nur Gesamtpreise","Regale im Laden zeigen oft Stückpreise auf Preisschildern","Bedenke, wie viel du tatsächlich verbrauchen wirst, bevor du in Großpackungen kaufst","Berücksichtige Lagerplatz und Verfallsdaten","Manchmal sind kleinere Größen frischer oder praktischer","Vergleiche über verschiedene Geschäfte für den besten Gesamtwert","tools/url-encoder",{"_168":16087,"_202":16088,"_139":16089,"_1508":16095,"_1510":16096,"_964":16097,"_16106":16107,"_16108":16109,"_36":128,"_1528":1529,"_1530":1531,"_1532":16110,"_1538":16115,"_143":1541,"_384":16116,"_931":16121,"_16141":16142},"URL-Kodierer/Dekodierer","Kodiere oder dekodiere URLs und Abfragestrings",{"_16090":16091,"_16092":16093,"_11109":16094},"urlWithSpaces","URL mit Leerzeichen","encodedUrl","Kodierte URL","Formulardaten","Kodieren","Dekodieren",{"_16098":16099,"_16100":16101,"_16102":16103,"_16104":16105},"labelEncode","Zu kodierende URL/Text","labelDecode","Zu dekodierender URL-kodierter String","placeholderEncode","Gib URL oder Text zum Kodieren ein...\nz.B. https://example.com/suche?q=hallo welt","placeholderDecode","Gib URL-kodierten String zum Dekodieren ein...\nz.B. https%3A%2F%2Fexample.com","encodeButton","URL kodieren","decodeButton","URL dekodieren",{"_16111":16112,"_16113":16114},"labelEncoded","URL-kodierte Ausgabe","labelDecoded","Dekodierte URL","{{count}} Zeichen",{"_16117":16118,"_16119":16120},"failedToEncode","URL-Kodierung fehlgeschlagen.","invalidEncoded","Ungültiger URL-kodierter String. Bitte überprüfe deine Eingabe.",{"_168":16122,"_6147":16123,"_16124":16125,"_16126":1553,"_16127":16128,"_16129":16130,"_16131":16132,"_16133":16134,"_16135":16136,"_16137":16138,"_16139":16140},"Was ist URL-Kodierung?","URL-Kodierung:","encodingText","Konvertiert Sonderzeichen in prozentkodiertes Format (%XX) für sichere URL-Übertragung","usesLabel","usesText","Abfrageparameter, Formulardaten, API-Anfragen, Sonderzeichen in URLs","specialLabel","Sonderzeichen:","specialText","Leerzeichen werden %20, & wird %26, = wird %3D, etc.","safeLabel","Sichere Zeichen:","safeText","A-Z, a-z, 0-9, -, _, ., ~ (diese benötigen keine Kodierung)","exampleLabel","Beispiel:","exampleText","\"hallo welt\" wird \"hallo%20welt\"","commonChars",{"_168":16143,"_14389":16144,"_16145":16146,"_14085":16147,"_16148":16149,"_16150":16151,"_16152":16153,"_16154":16155,"_3806":16156},"Häufige kodierte Zeichen","Leerzeichen → %20","exclamation","! → %21","# → %23","dollar","$ → %24","ampersand","& → %26","equals","= → %3D","question","? → %3F","@ → %40","tools/url-safety-checker",{"_168":16159,"_202":16160,"_139":16161,"_964":16166,"_968":16169,"_57":16171,"_16180":16181,"_16234":16235,"_931":16245},"URL-Sicherheits-Prüfer","Analysiere URLs auf potenzielle Sicherheitsrisiken und Phishing-Indikatoren",{"_16162":16163,"_16164":16165},"safe","Sichere URL","suspicious","Verdächtige URL",{"_13917":16167,"_6617":16168},"Zu prüfende URL","Gib eine URL zur Analyse ein (z.B. https://example.com)",{"_189":16170,"_36":128},"URL-Sicherheit prüfen",{"_168":16172,"_16162":16173,"_477":16174,"_16175":16176,"_911":16177,"_191":16178,"_15845":16179},"Sicherheits-Analyse","Scheint sicher","Potenzielle Risiken erkannt","danger","Hohes Risiko erkannt","Sicherheits-Score","Analyse-Details","Risikoindikatoren","checks",{"_16182":16183,"_16184":16185,"_16186":16187,"_16188":16189,"_16190":16191,"_16192":16193,"_16194":16195,"_16196":16197,"_16198":16199,"_2757":16200,"_16201":16202,"_16203":16204,"_6168":16205,"_16206":16207,"_16208":16209,"_16210":16211,"_16212":16213,"_16214":16215,"_16216":16217,"_16218":16219,"_16220":16221,"_16222":16223,"_16224":16225,"_16226":16227,"_16228":16229,"_16230":16231,"_16232":16233},"protocol","Protokoll-Prüfung","protocolSafe","Nutzt sicheres HTTPS-Protokoll","protocolWarning","Nutzt unsicheres HTTP-Protokoll","domain","Domain-Analyse","domainClean","Domain erscheint legitim","domainSuspicious","Domain enthält verdächtige Muster","ipAddress","IP-Adressen-Prüfung","ipClean","Nutzt Standard-Domainnamen","ipWarning","Nutzt reine IP-Adresse statt Domain","URL-Länge","lengthNormal","URL-Länge ist normal","lengthLong","Ungewöhnlich lange URL","Zeichen-Kodierung","encodingClean","Keine verdächtige Kodierung erkannt","encodingWarning","Enthält verdächtig kodierte Zeichen","subdomain","Subdomain-Analyse","subdomainNormal","Normale Subdomain-Struktur","subdomainExcessive","Übermäßige Subdomains erkannt","typosquatting","Typosquatting-Prüfung","typosquattingClean","Keine bekannte Marken-Nachahmung erkannt","typosquattingWarning","Mögliches Typosquatting bekannter Marke","fileExtension","Datei-Erweiterung","fileExtensionSafe","Keine verdächtigen Datei-Erweiterungen","fileExtensionWarning","Enthält potenziell gefährliche Datei-Erweiterung","redirect","Weiterleitungs-Muster","redirectClean","Keine verdächtigen Weiterleitungs-Muster","redirectWarning","Enthält verdächtige Weiterleitungs-Muster","parsed",{"_168":16236,"_16182":16237,"_16188":16238,"_16239":16240,"_16241":16242,"_16243":16244},"URL-Komponenten","Protokoll","Domain","path","Pfad","query","Abfrageparameter","fragment","Fragment",{"_168":16246,"_202":16247,"_16248":16249,"_16250":16251,"_16252":16253,"_16254":16255,"_16256":16257,"_16258":16259,"_16260":16261,"_6951":6952,"_6953":16262,"_6955":16263,"_6957":16264,"_1227":16265,"_947":16266,"_949":16267,"_951":16268},"Über den URL-Sicherheits-Prüfer","Dieses Tool analysiert URLs auf häufige Indikatoren für Phishing, Malware und andere Sicherheitsrisiken. Es nutzt heuristische Analyse, um verdächtige Muster zu erkennen, ohne sich mit der URL zu verbinden.","checksTitle","Was wir prüfen","check1","Protokoll-Sicherheit (HTTPS vs HTTP)","check2","Verdächtige Domain-Muster und IP-Adressen","check3","Übermäßige URL-Länge oder Kodierung","check4","Bekannte Typosquatting-Muster","check5","Gefährliche Datei-Erweiterungen","check6","Verdächtige Weiterleitungs-Muster","Dies ist eine heuristische Analyse, kein definitiver Sicherheits-Scan","Kann nicht alle Bedrohungen erkennen oder tatsächlichen Seiteninhalt verifizieren","Nutze immer zusätzliche Sicherheitstools für kritische Entscheidungen","Sicherheits-Tipps","Überprüfe URLs immer vor dem Klicken, besonders in E-Mails","Achte auf HTTPS und gültige Zertifikate auf sensiblen Seiten","Sei vorsichtig bei URLs mit Rechtschreibfehlern bekannter Marken","tools/uuid-generator",{"_168":16271,"_202":16272,"_139":16273,"_964":16280,"_968":16286,"_57":16292,"_931":16294},"UUID-Generator","Generiere zufällige UUID v4 (Universally Unique Identifiers)",{"_16274":16275,"_16276":16277,"_16278":16279},"singleUuid","Einzelne UUID","5uuids","5 UUIDs","uppercaseUuid","UUID in Großbuchstaben",{"_16281":16282,"_10575":16283,"_16284":16285},"numberOfUuids","Anzahl UUIDs","Großbuchstaben","includeHyphens","Bindestriche einbeziehen",{"_16287":16288,"_16289":16290,"_8123":16291,"_24":25,"_20":21},"generateUuid","UUID generieren","generateUuid_other","UUIDs generieren","Alle kopieren",{"_168":16293},"Generierte UUIDs ({{count}})",{"_168":16295,"_16296":16297,"_16298":16299,"_6575":16300,"_1552":16301,"_16302":16303,"_7181":16304,"_16305":16306,"_16307":16308,"_16309":16310,"_16311":16312},"Was ist eine UUID?","uuid","UUID: Universally Unique IDentifier (auch GUID genannt - Globally Unique IDentifier)","version4","Version 4: Zufällig generierter 128-Bit-Identifier mit extrem niedriger Kollisionswahrscheinlichkeit","Format: 8-4-4-4-12 hexadezimale Ziffern (z.B. 550e8400-e29b-41d4-a716-446655440000)","Häufige Verwendungen: Datenbank-Primärschlüssel, Session-IDs, Transaktions-IDs, eindeutige Dateinamen","uniqueness","Eindeutigkeit: Kollisionswahrscheinlichkeit ist so niedrig, dass sie als praktisch unmöglich gilt","UUID v4 Struktur","formatBreakdown","Format-Aufschlüsselung:","xDesc","x = Zufällige hexadezimale Ziffer (0-9, a-f)","4desc","4 = UUID-Version (immer 4 für zufällige UUIDs)","yDesc","y = Varianten-Bits (eines von: 8, 9, a, b)","tools/vector-addition-calculator",{"_168":16315,"_202":16316,"_964":16317,"_1120":16324,"_57":16331,"_139":16344,"_1190":16351,"_931":16357},"Vektoraddition-Rechner","Addiere mehrere 2D-Vektoren in Komponenten- oder Polarform und visualisiere die Resultierende",{"_16318":16319,"_16320":16321,"_3251":3933,"_1261":15894,"_16322":16323,"_5648":10952,"_2765":2765,"_2767":2767,"_28":10797},"defaultMode","Standard-Eingabemodus","vectorNum","Vektor {{n}}","addVector","Vektor hinzufügen",{"_11862":16325,"_11864":16326,"_16327":16328,"_16329":16330},"Kartesisch (x, y)","Polar (Betrag, Winkel)","cartesianShort","Kartesisch","polarShort","Polar",{"_4871":16332,"_16333":16334,"_3251":3933,"_3623":7436,"_2765":2765,"_2767":2767,"_16335":16336,"_16337":16338,"_1239":16339,"_16340":2765,"_16341":2767,"_16342":4775,"_16343":16336},"Vektor-Diagramm","resultant","Resultierender Vektor","resultantLabel","R","magnitudeLabel","|R|","θ","axisX","axisY","vectorLabel","resultantVectorLabel",{"_16345":16346,"_16347":16348,"_16349":16350},"rightAngle","Rechtwinklige Vektoren","forces","Kräftegleichgewicht","three","Drei Vektoren",{"_168":16352,"_6117":16353,"_6119":16354,"_6121":16355,"_6123":16356},"Vektoraddition-Formeln","Rx = Σxi = Σ(Ai × cos θi)","Ry = Σyi = Σ(Ai × sin θi)","|R| = √(Rx² + Ry²)","θ = atan2(Ry, Rx)",{"_168":16358,"_202":16359,"_16360":16361,"_16362":16363,"_16364":16365,"_4727":4826,"_4729":16366,"_4731":16367,"_4733":16368},"Über den Vektoraddition-Rechner","Vektoraddition kombiniert mehrere Vektoren zu einem einzelnen resultierenden Vektor. Dieses Tool unterstützt sowohl kartesische (x, y Komponenten) als auch polare (Betrag, Winkel) Darstellungen.","conversionsTitle","Koordinaten-Konvertierungen","conversion1","Polar zu Kartesisch: x = r cos θ, y = r sin θ","conversion2","Kartesisch zu Polar: r = √(x² + y²), θ = atan2(y, x)","Physik: Kräfteaddition und Gleichgewicht","Navigation: Verschiebung und Geschwindigkeit","Ingenieurwesen: Strukturanalyse","tools/vector-dot-cross-calculator",{"_168":16371,"_202":16372,"_964":16373,"_3230":16380,"_57":16387,"_139":16415,"_1190":16419,"_931":16426},"Vektor-Skalar- & -Kreuzprodukt-Rechner","Berechne Skalarprodukt, Kreuzprodukt und Winkel zwischen 3D-Vektoren",{"_3216":3217,"_16374":16375,"_16376":16377,"_4748":2765,"_4750":2767,"_16378":16379},"vectorA","Vektor A","vectorB","Vektor B","zLabel","z",{"_16381":16382,"_16383":16384,"_16385":16386},"both","Beide Produkte","dot","Nur Skalarprodukt","cross","Nur Kreuzprodukt",{"_1151":16388,"_16389":16390,"_16391":16392,"_1261":1262,"_16393":16394,"_16395":16396,"_6849":16397,"_16398":16399,"_16400":16401,"_16402":16403,"_16404":16405,"_16406":16407,"_16408":16409,"_16410":16411,"_16412":6233,"_16413":16414},"3D-Vektor-Visualisierung","dotProduct","Skalarprodukt (A · B)","crossProduct","Kreuzprodukt (A × B)","triangleArea","Dreiecksfläche","orthogonal","Orthogonal (senkrecht)","Parallel","vectorsParallel","Vektoren sind parallel (Kreuzprodukt ist null)","dotProductSymbol","A · B","magnitudeA","|A|","magnitudeB","|B|","crossProductSymbol","A × B","crossProductMagnitude","|A × B|","vectorALabel","A","vectorBLabel","crossProductLabel","A×B",{"_16395":16416,"_6849":16417,"_180":16418},"Orthogonale Vektoren","Parallele Vektoren","Allgemeiner Fall",{"_168":1192,"_16420":16421,"_16422":16423,"_16424":16425},"dotFormula","A · B = |A||B|cos(θ) = a₁b₁ + a₂b₂ + a₃b₃","crossMagnitudeFormula","|A × B| = |A||B|sin(θ)","crossFormula","A × B = (a₂b₃ - a₃b₂, a₃b₁ - a₁b₃, a₁b₂ - a₂b₁)",{"_168":16427,"_202":16428,"_16429":16430,"_16431":16432,"_16433":16434,"_16435":16436,"_16437":16438,"_16439":16440,"_16441":16442,"_16443":16444},"Über Vektor-Skalar- & -Kreuzprodukt","Das Skalarprodukt und Kreuzprodukt sind zwei fundamentale Operationen auf Vektoren. Sie haben unterschiedliche geometrische Bedeutungen und Anwendungen.","dotProductTitle","Skalarprodukt","dot1","Gibt einen Skalar (Zahl) zurück","dot2","Null, wenn Vektoren senkrecht zueinander sind","dot3","Wird zum Finden von Winkeln und Projektionen verwendet","crossProductTitle","Kreuzprodukt","cross1","Gibt einen Vektor senkrecht zu beiden Eingaben zurück","cross2","Betrag entspricht Fläche des Parallelogramms","cross3","Null, wenn Vektoren parallel sind","tools/video-extractor",{"_168":16447,"_202":16448,"_139":16449,"_964":16454,"_968":16456,"_384":16464,"_57":16469,"_931":16482},"Video-Extraktor","Extrahiere alle Videos von jeder Webseite",{"_16450":16451,"_16452":16453},"cnn","CNN","w3schools","W3Schools",{"_6615":6616,"_2823":6618,"_12199":16455},"Gib die URL der Webseite ein, von der Videos extrahiert werden sollen",{"_16457":16458,"_11079":16459,"_16460":16461,"_16462":16463},"extractVideos","Videos extrahieren","Extrahiere...","openVideo","Video öffnen","downloadVideo","Video herunterladen",{"_6647":6652,"_16465":16466,"_16467":16468,"_13926":13927},"failedToExtract","Video-Extraktion fehlgeschlagen","noVideosFound","Keine Videos auf dieser Webseite gefunden",{"_16470":16471,"_16472":16473,"_16474":16475,"_16476":16477,"_16478":16479,"_16480":16481},"foundVideos","{{count}} Video gefunden","foundVideos_other","{{count}} Videos gefunden","youtubeEmbed","YouTube-Einbettung","vimeoEmbed","Vimeo-Einbettung","videoEmbed","Video-Einbettung","browserNotSupported","Dein Browser unterstützt das Video-Element nicht.",{"_168":16483,"_202":16484,"_3046":3047,"_3899":16485,"_3901":16486,"_3903":16487,"_3905":16488,"_3907":16489,"_4175":2840,"_4177":16490,"_4179":16491,"_4181":16492,"_4183":16493,"_1276":16494},"So verwendest du den Video-Extraktor","Extrahiere alle Video-Dateien und Einbettungen von jeder Webseite. Findet MP4-, WebM-, MOV-Dateien sowie YouTube- und Vimeo-Einbettungen.","Extrahiere alle Video-Dateien von jeder Webseite","Unterstützt MP4, WebM, MOV, AVI und mehr","Erkennt YouTube- und Vimeo-Einbettungen","Vorschau von Videos vor dem Herunterladen","Zeigt Video-Dimensionen, wenn verfügbar","Finde alle auf einer Webseite eingebetteten Videos","Lade Werbevideos von Produktseiten herunter","Extrahiere Videoinhalte zur Analyse","Lokalisiere YouTube/Vimeo-Einbettungen auf Seiten","Hinweis: Für YouTube- und Vimeo-Videos zeigt dieses Tool die Einbettung. Du benötigst möglicherweise zusätzliche Tools, um die tatsächliche Video-Datei herunterzuladen.","tools/water-intake-calculator",{"_168":16497,"_202":16498,"_139":16499,"_964":16506,"_2590":16513,"_16516":16517,"_57":16520,"_931":16528,"_1007":16551},"Wasserzufuhr-Rechner","Berechne deinen täglichen Wasserbedarf",{"_16500":16501,"_16502":16503,"_16504":16505},"averageAdult","Durchschnittlicher Erwachsener","activeInHeat","Aktiv bei Hitze","athlete","Athlet",{"_1918":16507,"_1920":16508,"_1931":16509,"_1933":16510,"_2588":2589,"_16511":16512},"Imperial (lbs)","Metrisch (kg)","Körpergewicht (lbs)","Körpergewicht (kg)","climate","Klima",{"_2592":16514,"_2595":3607,"_2597":16515,"_16504":16505},"Sitzend","Aktiv","climates",{"_5490":15512,"_6052":6053,"_16518":16519},"dry","Trocken",{"_16521":16522,"_15993":15994,"_16523":16523,"_14664":16524,"_15986":16525,"_16526":15810,"_2610":2611,"_2612":16527},"dailyGoal","Tägliches Wasserziel","oz","L","Unzen","ml","Trinke als erstes morgens ein Glas Wasser und vor jeder Mahlzeit. Trage eine Wasserflasche den ganzen Tag bei dir.",{"_168":16529,"_8601":16530,"_8603":16531,"_8605":16532,"_8607":16533,"_8609":16534,"_16535":16536,"_16537":16538,"_16539":16540,"_16541":16542,"_16543":16544,"_16545":16546,"_16547":16548,"_16549":16550},"Hydrations-Leitfaden","Warum Hydration wichtig ist","Reguliert Körpertemperatur","Transportiert Nährstoffe zu Zellen","Spült Giftstoffe aus","Verbessert Energie und Gehirnfunktion","why5","Unterstützt Verdauung und Gewichtsmanagement","signsTitle","Anzeichen von Dehydrierung","sign1","Dunkelgelber Urin","sign2","Kopfschmerzen oder Müdigkeit","sign3","Trockener Mund oder Haut","sign4","Schwindel oder Verwirrung","sourcesTitle","Wasserquellen","sourcesText","Etwa 20% der täglichen Wasserzufuhr stammen aus Nahrung. Wasserreiche Lebensmittel sind Gurken, Wassermelone, Orangen und Suppen.",{"_452":16552},"Enter your details to calculate water needs","tools/wave-interference-calculator",{"_168":16555,"_202":16556,"_964":16557,"_57":16565,"_139":16581,"_1190":16584,"_1007":16591,"_931":16593},"Welleninterferenz-Rechner","Berechne und visualisiere Zwei-Quellen-Welleninterferenz-Muster mit konstruktiven und destruktiven Punkten",{"_16558":16559,"_16560":16561,"_5946":16562,"_16563":16564},"wavelength","Wellenlänge (m)","sourceSpacing","Quellentrennung (m)","Frequenz (Hz)","screenDistance","Schirmdistanz (m)",{"_16566":16567,"_11138":14519,"_16568":16569,"_16570":16571,"_16572":16573,"_16574":16575,"_16576":16577,"_11146":16578,"_16579":16580},"waveSpeed","Wellengeschwindigkeit","fringeSpacing","Streifenabstand","waveNumber","Wellenzahl (k)","angularFreq","Kreisfrequenz","constructive","Konstruktive Maxima","destructive","Destruktive Minima","Welleninterferenz-Animation","legendNote","Rot = konstruktiv (hohe Amplitude), Blau = destruktiv (niedrige Amplitude)",{"_83":16582,"_4648":4596,"_2856":16583},"Licht (Doppelspalt)","Wasserwellen",{"_168":1192,"_16585":16586,"_16574":16587,"_16576":16588,"_16589":16590},"pathDiff","Wegdifferenz: Δ = r₂ - r₁","Konstruktiv: Δ = nλ (n = 0, 1, 2, ...)","Destruktiv: Δ = (n + 0,5)λ","fringe","Streifenabstand: Δy = λL/d",{"_1046":16592},"Gib Werte ein, um Welleninterferenz zu simulieren",{"_168":16594,"_202":16595,"_1475":16596,"_1769":16597,"_1771":16598,"_4727":4826,"_4729":16599,"_4731":16600,"_4733":16601},"Über den Welleninterferenz-Rechner","Wenn zwei kohärente Wellen aufeinandertreffen, interferieren sie und erzeugen ein Muster aus hohen und niedrigen Amplitudenbereichen. Dieser Rechner simuliert Zwei-Quellen-Interferenz und zeigt, wo Wellen sich konstruktiv oder destruktiv überlagern.","Interferenztypen","Konstruktiv: Wellen in Phase, Amplituden addieren sich (hell/laut)","Destruktiv: Wellen außer Phase, Amplituden löschen sich aus (dunkel/leise)","Doppelspaltexperiment (Licht)","Noise-Cancelling-Kopfhörer","Akustisches Design und Tontechnik","tools/wave-speed-calculator",{"_168":16604,"_202":16605,"_964":16606,"_1120":16622,"_57":16628,"_2198":16640,"_16641":16642,"_139":16649,"_1190":16656,"_1007":16666,"_931":16668},"Wellengeschwindigkeit-Rechner","Berechne Wellengeschwindigkeit, stehende Wellenfrequenzen und Saitenwellen-Eigenschaften",{"_16607":1098,"_5946":16562,"_16558":16559,"_16608":16609,"_16610":16611,"_16612":16613,"_16566":16614,"_16615":11991,"_16616":16617,"_16618":16619,"_16620":16621},"calculationType","stringLength","Saitenlänge (m)","harmonicNumber","Oberton-Nummer (n)","harmonicNumberPlaceholder","1, 2, 3...","Wellengeschwindigkeit (m/s)","waveSpeedPlaceholder","tension","Spannung (N)","linearDensity","Lineare Dichte (kg/m)","linearDensityPlaceholder","kg/m",{"_2134":16623,"_16624":16625,"_16626":16627},"Wellengeschwindigkeit (v = f × λ)","standing","Stehende Wellen & Obertöne","string","Saitenwellen-Geschwindigkeit",{"_16566":16567,"_11138":14519,"_16572":16573,"_16570":16629,"_16558":16630,"_12099":16631,"_16632":16633,"_16634":16635,"_16636":16637,"_16638":16639},"Wellenzahl","Wellenlänge","Grundton","nodes","Knotenpunkte","antinodes","Schwingungsbäuche","harmonicSeries","Obertonreihe","stringDescription","Für Saite mit T = {{T}} N und μ = {{mu}} kg/m",{"_16632":16633,"_16634":16635},"harmonics",{"_12099":16631,"_16643":16644,"_16645":16646,"_16647":16646,"_16648":16646},"nthHarmonic","{{n}}.{{ordinal}} Oberton","nd","","rd","th",{"_16650":16651,"_16652":16653,"_16654":16655},"soundA","Klang (A440)","guitarString","Gitarrensaite","stringTension","Saitenspannung",{"_168":1192,"_16566":16657,"_11138":16658,"_16572":11160,"_16570":16659,"_16660":16661,"_16662":16663,"_16664":16665},"v = f × λ","T = 1/f","k = 2π/λ","wavelengthHarmonic","λₙ = 2L/n","frequencyHarmonic","fₙ = nv/(2L)","stringSpeed","v = √(T/μ)",{"_1046":16667},"Gib Werte ein, um Welleneigenschaften zu berechnen",{"_168":16669,"_202":16670,"_1212":14273,"_1214":16671,"_1216":16672,"_1218":16673,"_12884":16674,"_16675":16676,"_16677":16678,"_16679":16680},"Über den Wellengeschwindigkeit-Rechner","Die Wellengleichung verbindet Frequenz, Wellenlänge und Wellengeschwindigkeit. Stehende Wellen auf Saiten haben feste Randbedingungen mit Knotenpunkten an beiden Enden.","Wellengeschwindigkeit hängt vom Medium ab, nicht von Amplitude oder Frequenz","Stehende Wellen: Knotenpunkte (keine Bewegung), Schwingungsbäuche (maximale Bewegung)","Obertöne sind ganzzahlige Vielfache der Grundfrequenz","Typische Wellengeschwindigkeiten","speed1","Schall in Luft: ~343 m/s bei 20°C","speed2","Licht im Vakuum: 3×10⁸ m/s","speed3","Schall in Wasser: ~1480 m/s","tools/website-checker",{"_168":16683,"_202":16684,"_964":16685,"_968":16688,"_384":16692,"_57":16695,"_931":16706},"Website-Status-Prüfer","Überprüfe, ob eine Website down ist oder nur für dich",{"_13917":16686,"_6617":16687},"Gib Website-URL ein","example.com oder https://example.com",{"_189":16689,"_16690":16691},"Website prüfen","checking","Prüfe...",{"_16693":16694,"_13926":13927},"checkFailed","Website-Prüfung fehlgeschlagen",{"_16696":16697,"_16698":16699,"_16700":16701,"_16702":16703,"_16704":16705},"up","Website ist ONLINE","down","Website ist OFFLINE","cannotReach","Nicht erreichbar","statusCode","Statuscode","responseTime","Antwortzeit",{"_168":16707,"_14045":16708,"_14047":16709,"_14049":16710,"_14051":16711},"So funktioniert es","Wir prüfen, ob die Website auf Anfragen reagiert","Wenn sie für alle down ist, ist die Website möglicherweise offline","Wenn es nur für dich ist, überprüfe deine Internetverbindung oder Firewall","Einige Websites blockieren automatisierte Prüfungen aus Sicherheitsgründen","tools/week-number-calculator",{"_168":16714,"_202":16715,"_139":16716,"_964":16717,"_968":16718,"_976":16721,"_974":16736,"_57":16761,"_931":16774,"_1007":16782},"Kalenderwochen-Rechner","Finde die ISO-Kalenderwoche für jedes Datum",{"_8384":8385,"_3791":3792,"_3787":3788},{"_8390":8391},{"_16719":16720},"useToday","Heutiges Datum nutzen",{"_16722":16723,"_16724":16725,"_16726":16727,"_16728":16729,"_16730":16731,"_16732":16733,"_16734":16735},"sunday","Sonntag","monday","Montag","tuesday","Dienstag","wednesday","Mittwoch","thursday","Donnerstag","friday","Freitag","saturday","Samstag",{"_16737":16738,"_16739":16740,"_16741":16742,"_16743":16744,"_16745":16746,"_16747":16748,"_16749":16750,"_16751":16752,"_16753":16754,"_16755":16756,"_16757":16758,"_16759":16760},"january","Januar","february","Februar","march","März","april","April","may","Mai","june","Juni","july","Juli","august","August","september","September","october","Oktober","november","November","december","Dezember",{"_16762":16763,"_16764":16765,"_1594":1595,"_16766":16767,"_16768":16769,"_16770":16771,"_16772":16773},"weekNumber","Kalenderwoche","week","Woche","dayOfYear","Tag des Jahres","daysRemaining","Verbleibende Tage","daysInYear","Tage im Jahr","leap","Schaltjahr",{"_168":16775,"_202":16776,"_1078":2493,"_1080":16777,"_1082":16778,"_1084":16779,"_1086":16780,"_1088":16781},"Über ISO-Kalenderwochen","ISO-Kalenderwochen sind eine standardisierte Art, Wochen in einem Jahr zu nummerieren. Woche 1 ist die Woche, die den ersten Donnerstag im Januar enthält. Wochen beginnen montags und enden sonntags.","Geschäftsplanung und Berichtswesen","Projektplanung und Meilensteine","Fertigungs- und Produktionspläne","Akademische Kalender","Einzelhandels- und Verkaufsverfolgung",{"_452":16783},"Enter a date to find week number","tools/wheel-spinner",{"_168":16786,"_202":16787,"_139":16788,"_968":16794,"_57":16799,"_63":16802,"_931":16807},"Glücksrad","Drehe das Rad, um zufällige Entscheidungen zu treffen",{"_16789":16790,"_16791":16792,"_10571":16793},"dinner","Was gibt's zum Abendessen?","weekend","Wochenend-Aktivität","Einfache Auswahl",{"_16795":16796,"_16797":16798},"spin","🎯 RAD DREHEN!","spinning","🎡 Dreht...",{"_16800":16801},"winner","🎉 Gewinner!",{"_168":16803,"_2823":16804,"_129":130,"_28":29,"_16805":16806},"Rad-Optionen","Neue Option hinzufügen","maxReached","Maximum von 20 Optionen erreicht",{"_168":16808,"_202":16809,"_3046":3047,"_3899":16810,"_3901":16811,"_3903":16812,"_3905":16813,"_1078":2493,"_1080":16814,"_1082":16815,"_1084":16816,"_1086":16817,"_1088":16818,"_1090":16819},"So verwendest du das Glücksrad","Erstelle ein individuelles Glücksrad für zufällige Entscheidungen, Gewinner-Auswahl oder einfach zum Spaß! Füge deine eigenen Optionen hinzu und lass das Schicksal entscheiden.","Füge bis zu 20 individuelle Optionen hinzu","Sanfte Dreh-Animation mit realistischer Physik","Farbenfrohes, leicht lesbares Rad-Design","Perfekt für Spiele, Gewinnspiele und Entscheidungsfindung","Entscheiden, was es zum Abendessen gibt","Wochenend-Aktivitäten wählen","Zufällige Preis-Gewinnspiele und Wettbewerbe","Klassenzimmer-Aktivitäten und Spiele","Teambuilding-Übungen","Schwierige Entscheidungen unterhaltsam machen","tools/word-counter",{"_168":16822,"_202":16823,"_139":16824,"_964":16836,"_505":16837,"_931":16842},"Wortzähler","Zähle Wörter, Zeichen, Sätze und schätze Lesezeit",{"_16825":12841,"_16826":16827,"_16828":16829,"_16830":16831,"_16832":16833,"_16834":16835},"shortParagraph","shortParagraphText","Dies ist ein kurzer Absatz mit etwa fünfzig Wörtern zur Demonstration des Wortzähler-Tools. Er enthält mehrere Sätze und zeigt, wie die Lesezeit berechnet wird. Dieses Beispiel ist nützlich zum Testen des Tools mit realistischem Inhalt, den Sie in einem Blogbeitrag oder Artikel verwenden könnten.","essayIntro","Aufsatz-Einleitung","essayIntroText","Aufsatz-Einleitung mit mehreren Sätzen. Der zweite Satz fügt mehr Details hinzu. Schließlich fasst eine Schlussfolgerung alles schön zusammen.","tweetLength","Tweet-Länge","tweetLengthText","Tweet-Nachricht unter 280 Zeichen für soziale Medien!",{"_1443":2824},{"_2828":2829,"_1538":1539,"_2830":2831,"_2832":2833,"_2826":2827,"_2834":2835,"_16838":16839,"_16840":16841},"readingTime","Lesezeit (200 WpM)","readingTimeValue","{{time}} Min",{"_168":2840,"_13940":16843,"_16844":16845,"_16846":16847,"_16848":16849,"_16838":16850},"Twitter/X: Halte Tweets unter 280 Zeichen","metaDescriptions","Meta-Beschreibungen: Optimale Länge 150-160 Zeichen","blogPosts","Blog-Posts: Verfolge Wortzahl-Ziele (typischerweise 1000-2000 Wörter)","essays","Aufsätze: Erfülle akademische Wortzahl-Anforderungen","Lesezeit: Schätze, wie lange das Lesen von Inhalten dauert","tools/word-frequency-counter",{"_168":16853,"_202":16854,"_139":16855,"_964":16863,"_57":16866,"_553":16872,"_931":16878},"Worthäufigkeit-Zähler","Zähle und analysiere Worthäufigkeiten in deinem Text",{"_10571":4333,"_4332":16856,"_16857":16858,"_16859":16860,"_13210":13211,"_16861":16862},"Der schnelle braune Fuchs springt über den faulen Hund. Der Hund war sehr faul.","ignoreCommon","Häufige Wörter ignorieren","ignoreCommonText","JavaScript ist großartig. JavaScript ist mächtig. JavaScript ist überall. Ich liebe JavaScript!","caseSensitiveText","Apfel apfel APFEL Orange orange",{"_1441":16864,"_2823":16865,"_13210":13211,"_16857":16858},"Zu analysierender Text","Gib Text zur Analyse ein oder füge ihn ein...",{"_16867":16868,"_16869":16870,"_8565":16871},"totalWords","Wörter gesamt","uniqueWords","Eindeutige Wörter","Worthäufigkeit-Tabelle",{"_16873":16874,"_16875":16876,"_7252":7253,"_5946":16877},"rank","Rang","word","Wort","Häufigkeit",{"_168":16879,"_202":16880,"_3046":3047,"_16881":16882,"_16883":16884,"_16885":16886,"_16887":16888,"_16889":16890,"_16891":16892,"_16893":16894,"_16895":16896},"So verwendest du den Worthäufigkeit-Zähler","Füge deinen Text ein oder tippe ihn, und sieh sofort Worthäufigkeits-Statistiken. Das Tool zählt, wie oft jedes Wort erscheint, und zeigt Ergebnisse in einer sortierbaren Tabelle mit Häufigkeits-Prozentsätzen.","feature1Label","Häufigkeits-Tabelle:","feature1Desc","Wörter sortiert nach Anzahl (höchste zuerst)","feature2Label","Groß-/Kleinschreibung beachten:","feature2Desc","Option, \"Apfel\" und \"apfel\" als unterschiedlich zu behandeln","feature3Label","Häufige Wörter ignorieren:","feature3Desc","Filtere häufige deutsche Wörter heraus (der, die, das, und, ist, etc.)","feature4Label","Prozent-Ansicht:","feature4Desc","Sieh den Prozentsatz jedes Wortes an der Gesamtzahl","tools/word-puzzle",{"_168":16899,"_202":16900,"_299":16901,"_16902":16903,"_915":916,"_16904":60,"_16905":16906,"_16907":16908,"_917":8160,"_921":922,"_16909":16910,"_16911":16912,"_926":16913,"_931":16914},"Wort-Puzzle","Erraten Sie das 5-Buchstaben-Wort in 6 Versuchen - nutzen Sie Logik und Deduktion!","Erraten Sie das Wort","wordLength","Wortlänge","enter","notEnoughLetters","Nicht genug Buchstaben","notInWordList","Nicht in der Wortliste","guessedIn","Erraten in {{count}} Versuchen","theWordWas","Das Wort war","Erraten Sie das Wort. Jeder Versuch muss ein gültiges Wort sein. Drücken Sie Eingabe zum Absenden.",{"_168":16915,"_202":16916,"_935":8173,"_937":16917,"_939":16918,"_941":16919,"_2390":16920,"_3197":16921,"_15856":16922,"_16923":16924},"Über Wort-Puzzle","Wort-Puzzle ist ein Wort-Ratespiel. Sie haben 6 Versuche, um ein 5-Buchstaben-Wort zu erraten. Nach jedem Versuch ändert sich die Farbe der Kacheln, um zu zeigen, wie nah Ihr Versuch war.","Erraten Sie das Wort in 6 Versuchen","Jeder Versuch muss ein gültiges 5-Buchstaben-Wort sein","Die Farbe der Kacheln ändert sich, um zu zeigen, wie nah Ihr Versuch dem Wort war","Farbbedeutungen","Grün - Buchstabe ist im Wort und an der richtigen Position","Gelb - Buchstabe ist im Wort, aber an der falschen Position","gray","Grau - Buchstabe ist überhaupt nicht im Wort","tools/word-scramble-generator",{"_168":16927,"_202":16928,"_139":16929,"_964":16940,"_8153":16949,"_968":16953,"_1668":16960,"_57":16962,"_384":16968,"_931":16972},"Wortverwürfelungs-Generator","Erstelle verwürfelte Worträtsel für Spiele, Bildung und Spaß",{"_10571":16930,"_16931":16932,"_8954":16933,"_16934":16935,"_16936":16937,"_16938":16939},"Einfache Wörter","animals","Tier-Thema","Länder","simpleWords","Apfel, Banane, Orange, Traube, Mango","animalWords","Elefant, Giraffe, Pinguin, Delfin, Känguru","countryWords","Frankreich, Japan, Brasilien, Ägypten, Kanada",{"_16941":16942,"_16943":16944,"_16945":16946,"_16947":16948},"wordsLabel","Zu verwürfelnde Wörter","wordsPlaceholder","Gib Wörter getrennt durch Kommas oder neue Zeilen ein...","difficultyLabel","Schwierigkeitsgrad","showHintsLabel","Erste-Buchstabe-Hinweise zeigen",{"_8155":16950,"_5870":16951,"_8158":16952},"Einfach (behalte ersten & letzten)","Mittel (behalte ersten)","Schwer (vollständig verwürfeln)",{"_34":16954,"_5876":16955,"_20":16956,"_16957":16958,"_1668":16959},"Verwürfelungen generieren","Alle neu mischen","Rätsel kopieren","copyAnswer","Mit Antworten kopieren","Rätsel drucken",{"_168":16961},"Wortverwürfelungs-Rätsel",{"_168":16963,"_16964":16965,"_16966":7659,"_2853":16967},"Verwürfelte Wörter","scrambled","Verwürfelt","answer","Hinweis: beginnt mit",{"_16969":16970,"_10644":16971},"noWords","Bitte gib mindestens ein Wort zum Verwürfeln ein","Wörter müssen mindestens 3 Zeichen lang sein",{"_168":16973,"_202":16974,"_16975":16976,"_8155":16977,"_5870":16978,"_8158":16979,"_1078":16980,"_1080":16981,"_1082":16982,"_1084":16983,"_1086":16984,"_1088":16985},"So verwendest du den Wortverwürfelungs-Generator","Erstelle unterhaltsame Wortverwürfelungs-Rätsel, perfekt für Klassenzimmer-Aktivitäten, Party-Spiele, Vokabel-Übung oder Denksportaufgaben. Gib deine Wörter ein und erhalte sofort verwürfelte Versionen.","difficultyTitle","Schwierigkeitsgrade","Einfach: Behält ersten und letzten Buchstaben an Ort - großartig für Anfänger","Mittel: Behält nur den ersten Buchstaben - moderate Herausforderung","Schwer: Verwürfelt alle Buchstaben komplett - maximale Schwierigkeit","Großartig für","Klassenzimmer-Vokabel-Aktivitäten","Party-Spiele und Eisbrecher","Gehirntrainings-Übungen","DaF/Sprachenlernen","Kinder-Aktivitätsblätter","tools/work-energy-calculator",{"_168":16988,"_202":16989,"_964":16990,"_1120":17000,"_17006":17007,"_57":17010,"_139":17026,"_1190":17034,"_1007":17040,"_931":17042},"Arbeit & Energie-Rechner","Berechne Arbeit, kinetische Energie, potenzielle Energie und wende den Energiesatz an",{"_16607":1098,"_3684":3703,"_16991":16992,"_1261":15894,"_16993":16994,"_2764":1102,"_12003":11989,"_11990":11991,"_1354":2759,"_16995":12367,"_16996":16997,"_16998":16999,"_2093":2094},"displacement","Verschiebung (m)","angleHint","0 = parallel zur Bewegung","initialVelocity","finalVelocity","Endgeschwindigkeit (m/s)","netWork","Netto-Arbeit (J)",{"_12001":17001,"_5476":17002,"_4763":17003,"_17004":17005},"Arbeit (W = Fd cos θ)","Kinetische Energie","Potenzielle Energie","theorem","Energiesatz","solveOptions",{"_12003":17008,"_12001":17009},"Endgeschwindigkeit","Netto-Arbeit",{"_12001":12015,"_17011":17012,"_17013":17014,"_17015":17016,"_17017":17018,"_5487":17019,"_16996":17008,"_16998":17009,"_1173":17020,"_1175":17021,"_17022":17023,"_17024":17025},"forceComponent","Kraft-Komponente","positiveWork","Positive Arbeit: Energie ZU dem Objekt übertragen","negativeWork","Negative Arbeit: Energie VON dem Objekt übertragen","zeroWork","Null Arbeit: Keine Energieübertragung (Kraft senkrecht zur Bewegung)","Schwerkraft","Anfangs-kinetische Energie","End-kinetische Energie","changeKE","ΔEkin","potentialEnergy","PE = mgh",{"_17027":17028,"_12035":17029,"_17030":17031,"_17032":17033},"pushing","Kiste schieben","Fahrendes Auto","lifted","Angehobenes Objekt","acceleration","Beschleunigung",{"_168":1192,"_12001":17035,"_1147":17036,"_17024":17037,"_17038":17039},"W = F × d × cos(θ)","Ekin = ½mv²","Epot = mgh","workEnergyTheorem","W_netto = ΔEkin = Ekin_end - Ekin_anfang",{"_1046":17041},"Gib Werte ein, um Energie zu berechnen",{"_168":17043,"_202":17044,"_1212":14273,"_1214":17045,"_1216":17046,"_1218":17047,"_17048":17005,"_17049":17050},"Über den Arbeit & Energie-Rechner","Energie ist die Fähigkeit, Arbeit zu verrichten. Arbeit wird verrichtet, wenn eine Kraft eine Verschiebung verursacht. Der Energiesatz verbindet diese Konzepte.","Arbeit hängt von Kraftbetrag, Verschiebung und Winkel zwischen ihnen ab","Kinetische Energie hängt von Masse und Geschwindigkeit im Quadrat ab","Potenzielle Energie hängt von Position in einem Gravitationsfeld ab","theoremTitle","theoremDescription","Die Netto-Arbeit an einem Objekt entspricht der Änderung seiner kinetischen Energie: W_netto = ΔEkin = Ekin_end - Ekin_anfang","tools/would-you-rather-generator",{"_168":17053,"_202":17054,"_964":17055,"_1899":17057,"_968":17065,"_57":17067,"_17074":17075,"_931":17156},"Würdest-du-lieber-Generator","Generiere lustige 'Würdest du lieber?'-Fragen",{"_3289":17056},"Fragen-Kategorie",{"_3292":3293,"_3297":3298,"_17058":17059,"_17060":17061,"_17062":17063,"_8158":17064},"deep","🤔 Tiefgründig & Zum Nachdenken","silly","🤪 Albern & Absurd","gross","🤢 Eklig & Widerlich","😰 Schwierige Entscheidungen",{"_34":17066},"🎲 Frage generieren",{"_17068":17069,"_17070":17071,"_17072":17073},"wouldYouRather","Würdest du lieber...","clickToStart","Klicke auf \"Frage generieren\", um zu starten!","perfectFor","Perfekt für Eisbrecher, Partys und Roadtrips","questions",{"_3297":17076,"_17058":17092,"_17060":17108,"_17062":17124,"_8158":17140},[17077,17078,17079,17080,17081,17082,17083,17084,17085,17086,17087,17088,17089,17090,17091],"Die Fähigkeit haben, mit Tieren zu sprechen ODER Gedanken lesen können?","Immer singen müssen statt zu sprechen ODER überall hintanzen, wo du hingehst?","Spaghetti als Haare haben ODER Ahornsirup schwitzen?","Gegen eine pferdegroße Ente kämpfen ODER gegen 100 entengroße Pferde?","Jeden Tag Clownsschuhe tragen müssen ODER eine Clownsnase?","Dich überallhin teleportieren können ODER durch die Zeit reisen können?","Unbegrenzt Speck aber keine Spiele haben ODER unbegrenzt Spiele aber keinen Speck?","Immer überall hüpfen müssen ODER überall hinspringen?","Finger so lang wie deine Beine haben ODER Beine so kurz wie deine Finger?","Feuer kontrollieren können ODER Wasser?","Eine Zurückspul-Taste für dein Leben haben ODER eine Pause-Taste?","Ein berühmter Musiker sein ODER ein berühmter Schauspieler?","Ohne Musik leben ODER ohne Filme?","Einen Privatkoch haben ODER einen Personal Trainer?","Fliegen können ODER unsichtbar sein?",[17093,17094,17095,17096,17097,17098,17099,17100,17101,17102,17103,17104,17105,17106,17107],"Wissen, wann du stirbst ODER wie du stirbst?","Deine Vergangenheit ändern können ODER deine Zukunft sehen?","Alle alten Erinnerungen verlieren ODER nie neue machen können?","Die Fähigkeit haben, Welthunger zu beenden ODER alle Kriege?","Von allen geliebt werden, aber nie zurücklieben können ODER jemanden lieben, der dich nie zurückliebt?","Die harte Wahrheit kennen ODER eine tröstliche Lüge glauben?","Unbegrenzten Reichtum aber keine Freunde haben ODER wahre Freundschaften aber finanziell kämpfen?","Für etwas Peinliches berühmt sein ODER nie berühmt sein?","Die Fähigkeit haben, eine vergangene Entscheidung zu ändern ODER ein zukünftiges Ereignis zu sehen?","Für immer leben, aber alle sterben sehen, die du liebst ODER eine normale Lebensspanne haben?","Alle Sprachen sprechen können ODER mit Tieren sprechen können?","Die Macht haben, Krankheiten zu heilen ODER den Klimawandel zu lösen?","Alle Geheimnisse des Universums kennen ODER jedes Ergebnis deiner Entscheidungen kennen?","Jeden Tag das Leben eines Fremden retten können ODER deine Familie einmal?","Ein Leben voller Abenteuer aber instabil haben ODER ein friedliches aber vorhersehbares Leben?",[17109,17110,17111,17112,17113,17114,17115,17116,17117,17118,17119,17120,17121,17122,17123],"Augenbrauen aus Federn haben ODER eine Nase aus Käse?","Schuhe aus Wackelpudding tragen ODER einen Hut aus Speck?","Käse schwitzen ODER Mayonnaise weinen?","Einen Kopf in der Größe eines Tennisballs haben ODER in der Größe einer Wassermelone?","Permanent regenbogenfarbene Haare haben ODER leuchtende Haut?","Immer in Reimen sprechen ODER alles singen, was du sagst?","Überall ein Tutu tragen müssen ODER ein Superheldenkostüm?","Hände statt Füße haben ODER Füße statt Hände?","Nur flüstern können ODER nur schreien können?","Ein drittes Auge haben ODER einen dritten Arm?","Mit Fell bedeckt sein ODER mit Schuppen?","Elefantenohren haben ODER einen Giraffenhals?","Konfetti niesen ODER Seifenblasen rülpsen?","Spaghetti-Arme haben ODER Pizza-Füße?","Immer nach Zwiebeln riechen ODER immer nach Knoblauch?",[17125,17126,17127,17128,17129,17130,17131,17132,17133,17134,17135,17136,17137,17138,17139],"Eine Spinne essen ODER einen Wurm?","Saure Milch trinken ODER verschimmeltes Brot essen?","Nie Zähne putzen ODER nie duschen?","In einem Pool aus Schleim schwimmen ODER in einem Pool aus Honig?","Eine öffentliche Toilettenbrille ablecken ODER jemandes gebrauchten Kaugummi kauen?","Permanenten Mundgeruch haben ODER permanenten Körpergeruch?","Essen, das zu heiß ist ODER Essen, das zu kalt ist?","In Hundekot treten ODER barfuß auf eine Schnecke treten?","Den ganzen Tag an jemandes Füßen riechen müssen ODER ihren Achselschweiß schmecken?","Eine Grille essen ODER eine Kakerlake?","Gurkenwasser trinken ODER Sojasauce?","Wirklich lange Nasenhaare haben ODER wirklich lange Ohrenhaare?","Immer klebrige Hände haben ODER immer nasse Socken?","Rohe Zwiebel wie einen Apfel essen ODER eine rohe Kartoffel?","Deinen Mund nach Seife schmecken lassen ODER deine Haut wie Schmirgelpapier anfühlen lassen?",[17141,17142,17143,17144,17145,17146,17147,17148,17149,17150,17151,17152,17153,17154,17155],"Deine Fähigkeit zu lesen verlieren ODER deine Fähigkeit zu sprechen?","Extrem attraktiv aber dumm sein ODER extrem schlau aber hässlich?","Kein Internet haben ODER keine Klimaanlage/Heizung?","Dein Sehvermögen verlieren ODER dein Hörvermögen?","Den Rest deines Lebens allein sein ODER immer von nervigen Menschen umgeben sein?","Arm sein, aber Menschen helfen ODER reich werden, indem du Menschen schadest?","Deine wahre Liebe finden ODER einen Koffer mit fünf Millionen Euro finden?","Vergessen, wer du warst ODER vergessen, wer alle anderen sind?","4 Jahre ins Gefängnis gehen für etwas, das du nicht getan hast ODER mit etwas Schrecklichem davonkommen, das du getan hast?","Ohne Internet leben ODER ohne Klimaanlage und Heizung?","Sprechen können, aber nie lesen ODER lesen, aber nie sprechen?","Deinen Geschmackssinn verlieren ODER deinen Geruchssinn?","Social Media aufgeben ODER ein Jahr lang jeden Tag das gleiche Abendessen essen?","Einen Job haben, den du hasst, mit hohem Gehalt ODER einen Job, den du liebst, mit niedrigem Gehalt?","In einer Großstadt ohne Privatsphäre leben ODER mitten im Nirgendwo ohne Menschen?",{"_168":17157,"_17158":13630,"_937":17159,"_939":17160,"_941":17161,"_943":17162,"_17163":17164,"_17165":16980,"_17166":17167,"_13288":17168,"_17169":17170,"_13292":17171,"_17172":17173,"_13296":17174,"_17175":17176,"_13300":17177,"_17178":17179,"_13304":17180,"_1227":1228,"_947":17181,"_949":17182,"_951":17183,"_1419":17184,"_3460":17185,"_11431":17186},"So spielst 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