Sindbad~EG File Manager
// This script provides translations into all supported languages of the
// text needed for PHP pages Enter*.php, as well as GraphDoc.php and SymbolDoc.php.
// so we can change the language of static interface elements without the Engine.
// Translations provided by ChatGPT4o.
// MakeGraph.php and index.php have their own tranlation tables
// Tooltips and the Term Selection menu items are translated by the Engine and sent down
const translations = {
english: {
mathematical: "Mathematical",
assistant: "Assistant",
make: "Make a",
graph: "Graph",
enter: "Enter a",
problem: "Problem",
problem2: "Problem",
library: "Library",
credit: "Designed and implemented by Dr. Michael Beeson",
draw3: "Draw",
draw: "Draw",
draw2: "Draw",
drag: "Drag",
changeTypeSize: "Type Size",
normalSize: "Normal",
largerSize: "Larger",
smallerSize: "Smaller",
functiontograph: "Function to graph",
functionstograph: "Functions to graph",
displayButton: "Display",
displayButton1: "Display",
displayButton2: "Display",
displayButton3: "Display",
displayButton4: "Display",
displayButton5: "Display",
displayButton6: "Display",
displayButton7: "Display",
displayButton8: "Display",
displayButton9: "Display",
displayButton10: "Display",
shadowID1: "y = x^3-ax for example, or just x^3-ax",
shadowInequalityID: "x < y < sqrt x or cos x <= y <= sin x",
assumptions: "Assumptions",
singularities: "Singularities",
jumps: "Jumps",
remarks: "Remarks",
enterfunctions: "Compare the graphs of",
addFunctionLabel: "Add another function",
addEquationLabel: "Add another equation",
addEquationLabel2: "Add another equation",
dataID3: "Enter formula",
dataID4: "Enter formula",
dataID5: "Enter formula",
dataID6: "Enter formula",
"tooltip-draw3": "Draw the graphs",
"tooltip-draw2": "Draw the graph",
"tooltip-displayButton1": "Display the formula in mathematical notation",
"tooltip-displayButton": "Display the equations in mathematical notation",
"tooltip-displayButton2": "Display the limit in mathematical notation",
"tooltip-displayButton3": "Display the integral in mathematical notation",
"tooltip-displayButton4": "Display the derivative in mathematical notation",
"tooltip-displayButton5": "Display the identity in mathematical notation",
"tooltip-displayButton6": "Display the equation in mathematical notation",
"tooltip-displayButton7": "Display the expression in mathematical notation",
"tooltip-displayButton8": "Display the inequality in mathematical notation",
"tooltip-displayButton9": "Display the function in mathematical notation",
"tooltip-displayButton10": "Display the series in mathematical notation",
"tooltip-arrowButton": "Shoots a sample problem \n into the entry field to the left",
title_EnterOrdinaryGraph: "Enter an Ordinary Graph",
title_EnterCompareSame: "Compare Graphs",
title_EnterCompareDifferent: "Compare Graphs",
title_EnterGraphPolar: "Enter a Polar Graph",
title_EnterGraphComplexRoots: "Enter Polynomial",
EnterGraphComplexRoots: "Draw the roots of this polynomial:",
title_EnterGraphParametric: "Enter a Parametric Graph",
EnterGraphParametric: "Enter a parametric graph:",
EnterGraphPolar: "Enter a polar graph:",
title_EnterGraphInequality: "Enter Inequality",
title_EnterGraphRelation: "Graph Relation using =",
title_EnterGraphRelationInequality: "Graph Relation with Inequality",
relationtograph: "Enter relation with =",
inequalityrelationtograph: "Enter relation with inequality",
title_EnterGraphDeriv: "Compare f and f'",
comparederiv: "Compare f and f'. Enter f",
title_EnterGraphDerivs: "Compare f, f', and f''",
comparederivs: "Compare f, f, and f''. Enter f",
title_EnterODE: "Enter differential equation",
title_EnterTwoODEs: "Enter two differential quations",
title_EnterHDE: "Enter differential equation",
title_EnterRiemannSums: "Enter a Riemann sum graph",
title_EnterTrapezoidRule: "Enter a trapezoid rule graph",
title_EnterSimpsonsRule: "Enter a Simpson's rule graph",
titleSymbolicDoc: "MathXpert Symbolic Calculator",
titleGraphDoc: "MathXpert Grapher",
title_GetProblemAsync: "MathXpert Problem Library",
functionRiemannSums: "Function to integrate",
shadowRiemannSumsID: "sin x for example",
from: "from",
to: "to",
shadowfrom: "0",
shadowto: "2 pi",
nintervals: "Number of intervals",
riemannStyle: "Style of rectangles",
shadownintervals: "2^(n+1)",
inequalitytograph: "Inequality to Graph:",
shadowInequality: "x < y < sqrt x for example",
shadowPolar: "r = 2 cos theta for example",
shadowPolyrootsID: "x^n-1 for example",
shadowRelationID: "(x/4)^2 + (y/3)^2 = 1 for example",
shadowInequalityRelationID: "y^2 <= sin^2 x for example",
shadowParametric: "x= cos(nt), y = sin(mt) for example",
shadowCompareDerivID: "sin x, or f(x) = sin x, or y = sin x",
styleLeft: "Left",
styleRight: "Right",
styleCentered: "Centered",
shadowODE: "y'=y or diff(y,x) = y sin x",
odetograph: "Differential Equation",
initialConditions: "Initial Conditions",
shadowInitialConditions: "(3,2)",
shadowInitialConditionsHDE: "0,1,2",
alertParametric: "You must enter two formulas and the range of the parameter.",
alertPolar: "You must enter a formula and the range of the parameter.",
alertCompareGraphs: "You must enter two or more formulas to be graphed.",
shadowParameterInterval: "0 <= t <= 2pi",
shadowHDE: "y''= y + y' or diff(y,x,2) = y + diff(y,x)",
oneequalsign: "Your equation must contain exactly one = sign",
toomanyconditions: "Too many initial conditions",
toofewconditions: "Too few initial conditions",
badleftside: "Left side must look like y'''...",
odeFirst: "First Differential Equation",
odeSecond: "Second Differential Equation",
ode2First: "First Differential Equation",
ode2Second: "Second Differential Equation",
parameterInterval: "Parameter Interval",
undoButtonRef: "Undo",
hintButtonRef: "Hint",
graphButtonRef: "Graph",
autoFinishButtonRef: "AutoFinish",
autoStepButtonRef: "AutoStep",
showStepButtonRef: "ShowStep",
assumptionsButtonRef: "Assumptions",
finishedButtonRef: "Finished?",
linearEquationID1: "x+y = 12",
linearEquationID2: "x-y = 4",
linearEquationID3: "x+z = 9",
linearEquationID4: "u+y+z = 7",
linearEquationID5: "x+ 2y +4t = 20",
linearEquationID6: "x+ 3y+w = 25",
title_EnterLinearEquations: "Linear Equations",
enterequations: "Linear equations to solve:",
enterequation: "Equation to solve:",
enteridentity: "Identity to verify:",
entersimplify: "Expression to simplify:",
enterfactor: "Expression to factor:",
enterinequality: "Inequality:",
solveNowButton: "Do the Math",
select: "Select a Problem Type",
simplify: "Simplify",
factor: "Factor",
solveEquation: "Solve One Equation",
solveLinearEquations: "Solve Linear Equations", // with a selector for the method
substitution: "Substitution",
rowandcolumn: "Row Operations",
matrices: "Matrix Algebra",
solveInequality: "Solve Inequality",
gaussJordan: "Gauss Jordan",
matrixInverse: "Use Matrix Inverse",
cramer: "Cramer's rule",
verifyIdentity: "Verify an identity",
limits: "Evaluate a Limit",
derivatives: "Differentiate",
integrals: "Integrate",
sums: "Finite Sums",
infiniteseries: "Infinite Series",
evaluateseries: "Evaluate an Infinite Series",
convergencetests: "Test Series for Convergence", // with a selector for the method
integraltest: "Integral Test",
comparisontest: "Comparison Test",
rootratio: "Root and Ratio Tests",
powerseries: "Power Series",
"tooltip-solveNowButton": "Open a MathXpert calculation page",
"tooltip-solveEquationButton": "Open a MathXpert calculation page",
"tooltip-selector2": "Your selection from this list determines how AutoFinish and AutoStep will solve your problem.",
"tooltip-complexSelector": "Allow or disallow square roots of negative numbers",
selector2Label: "You can optionally tell MathXpert how you want to solve the equations:",
alert1: "You must enter at least two equations.",
alert2: "An equation must have an = sign.",
alert3: "An equation must have only one = sign.",
alert4: "Input should have the form integral(f,x) or integral(f,x,a,b).",
alert5: "Second argument must be a variable name.",
alert6: "Please enter an expression.",
alert7: "Please enter an equation.",
alert8: "Please enter an inequality.",
alert9: "Please enter an interval.",
integralID: "integral(sin x, x) or integral(sin x,x,0,1)",
enterintegral: "Integral to evaluate:",
enterimproperintegral: "Improper integral to evaluate:",
improperintegralID: "integral(1/x^2,x,0,infinity) or integral(1/ln x,x,0,1)",
alertlim: "Input should have the form lim(x->a,f) or lim(x->a+,f) or lim(x->a-,f)",
limitID: "lim(x->0, sin(x)/x) or lim(x->0+, sin(x)/x)",
enterlimit: "Limit to evaluate:",
derivativeID: "y = sin x or f(x) = sin x or just sin x",
enterderivative: "Expression to differentiate:",
enterderivativedefn:"Expression to differentiate,",
enterderivativedefn2:"using the definition of derivative:",
alertdif: "Input should have the form diff(y,x)",
alertdif2: "In diff(y,x), y and x must be valid variable names.",
enterimplicitequation: "Equation relating the variables:",
enterimplicitderivative:"Derivative to calculate:",
enterratesequation: "Equations good for all times:",
enteronetime: "Equation good for one special time:",
functionmaxmin: "Find the maxima and minima of",
interval: "on the interval:",
maxminID1: "x^3 - x, or y = x^3 - x, or f(x) = x^3 - x",
alertseries: "Input should have the form sum(f,n,firstIndex,infinity).",
alertinfinity: "Last argument should be \"infinity\"",
alertlower: "Lower limit of sum must be a specific integer.",
enterseries: "Series to evaluate or test for convergence:",
seriesEval: "Evaluate the series",
comparisontest: "Comparison test",
rootorratiotest: "Root or ratio test",
integraltest: "Integral test",
selector22Label: "What do you want to do?",
enterpowerseries: "Function to expand in a power series:",
powerseries: "Power Series",
real_roots: "Find real solutions (only)",
complex_roots: "Find complex solutions",
factor_quadratics: "Use real numbers only",
simple_factoring: "Use real numbers only",
alg1_factor_quadratic: "Use real numbers only",
factor_by_grouping: "Use real numbers only",
advanced_factoring: "Allow factors with complex numbers",
done: "Done",
changes: "changes",
by: "by",
cheerMessage: "You have earned applause. Click Play to hear it.",
playButton: "Play",
cheerMessage2: "You took more than half the steps without assistance.",
selectTermHint: "To take a step yourself, select the expression you want to change.",
showMeButton: "Show me how",
real_simplify: "Use real numbers only",
complex_simplify: "Allow complex numbers",
real_identities: "Use real numbers only",
complex_identities: "Use complex numbers",
topicReminder0: "Selected method:",
topicReminder37: "Riemann sums",
topicReminder38: "Trapezoid rule",
topicReminder39: "Simpson's rule",
derivAdvice: "If you want the second derivative, hover here.",
"tooltip-derivAdvice": "Enter an equation like y = sin x and compute the derivative. \n Then differentiate the equation again.",
shadowODE2InputID1: "x' = f(x,y) or x' =f(x,y,t)",
shadowODE2InputID2: "y' = g(x,y) or y' = g(x,y,t)",
subjectHeader: "Subject",
topicHeader: "Topic",
problemNumberHeader: "Problem Number",
acceptButton: "Accept Selected Problem",
editButton: "Edit Selected Problem",
},
german: {
mathematical: "Mathematisch",
assistant: "Assistent",
make: "erstellen",
graph: "Ein Graph",
enter: "eingeben",
problem: "Problem",
problem2: "Problem",
library: "Bibliothek",
credit: "Entworfen und implementiert von Dr. Michael Beeson",
draw3: "Zeichnen",
draw: "Zeichnen",
draw2: "Zeichnen",
drag: "Ziehen",
changeTypeSize: "Schriftgröße",
normalSize: "Normal",
largerSize: "Größer",
smallerSize: "Kleiner",
functiontograph: "Funktion zum grafieren",
functionstograph: "Funktionen zum grafieren",
displayButton: "Anzeigen",
displayButton1: "Anzeigen",
displayButton2: "Anzeigen",
displayButton3: "Anzeigen",
displayButton4: "Anzeigen",
displayButton5: "Anzeigen",
displayButton6: "Anzeigen",
displayButton7: "Anzeigen",
displayButton8: "Anzeigen",
displayButton9: "Anzeigen",
displayButton10: "Anzeigen",
shadowID1: "z.B. y = x^3-ax oder einfach x^3-ax",
shadowInequalityID: "x < y < sqrt x oder cos x <= y <= sin x",
assumptions: "Annahmen",
singularities: "Singularitäten",
jumps: "Sprünge",
remarks: "Bemerkungen",
enterfunctions: "Vergleichen Sie die Graphen von",
addFunctionLabel: "Weitere Funktion hinfügen",
addEquationLabel: "Weitere Gleichung hinfügen",
addEquationLabel2: "Weitere Gleichung hinfügen",
dataID3: "Formel eingeben",
dataID4: "Formel eingeben",
dataID5: "Formel eingeben",
dataID6: "Formel eingeben",
"tooltip-draw3": "Zeichnen Sie die Graphen",
"tooltip-draw2": "Zeichnen Sie den Graphen",
"tooltip-displayButton1": "Formel in mathematischer Notation anzeigen",
"tooltip-displayButton": "Gleichungen in mathematischer Notation anzeigen",
"tooltip-displayButton2": "Grenzwert in mathematischer Notation anzeigen",
"tooltip-displayButton3": "Integral in mathematischer Notation anzeigen",
"tooltip-displayButton4": "Zeige die Ableitung in mathematischer Notation an",
"tooltip-displayButton5": "Zeige die Identität in mathematischer Notation an",
"tooltip-displayButton6": "Zeige die Gleichung in mathematischer Notation an",
"tooltip-displayButton7": "Zeige den Ausdruck in mathematischer Notation an",
"tooltip-displayButton8": "Zeige die Ungleichung in mathematischer Notation an",
"tooltip-displayButton9": "Zeige die Funktion in mathematischer Notation an",
"tooltip-displayButton10": "Zeige die Reihe in mathematischer Notation an",
"tooltip-arrowButton": "Schießt ein Beispielproblem \n in das Eingabefeld links ein",
title_EnterOrdinaryGraph: "Geben Sie einen gewöhnlichen Graphen ein",
title_EnterCompareSame: "Vergleiche Graphen",
title_EnterCompareDifferent: "Vergleiche Graphen",
title_EnterGraphPolar: "Polargraph eingeben",
title_EnterGraphComplexRoots: "Polynom eingeben",
EnterGraphComplexRoots: "Zeichnen Sie die Wurzeln dieses Polynoms:",
title_EnterGraphParametric: "Parametrischen Graphen eingeben",
EnterGraphPolar: "Polargraph eingeben:",
EnterGraphParametric: "Parametrischen Graphen eingeben:",
title_EnterGraphInequality: "Ungleichung eingeben",
title_EnterGraphRelation: 'Relation zeichnen',
title_EnterGraphRelationInequality: 'Ungleichung einer Relation zeichnen',
relationtograph: "Relation mit = eingeben",
inequalityrelationtograph: "Relation mit Ungleichung eingeben",
title_EnterGraphDeriv: "Vergleiche f und f'",
comparederiv: "Vergleiche f und f'. f eingeben",
title_EnterGraphDerivs: "Vergleiche f, f' und f''",
comparederivs: "Vergleiche f, f' und f''. f eingeben",
title_EnterODE: "Differentialgleichung eingeben",
title_EnterTwoODEs: "Zwei Differentialgleichungen eingeben",
title_EnterHDE: "Differentialgleichung eingeben",
title_EnterRiemannSums: "Riemann-Summen-Graphen eingeben",
title_EnterTrapezoidRule: "Trapezregel-Graphen eingeben",
title_EnterSimpsonsRule: "Simpsons Regel-Graphen eingeben",
titleSymbolicDoc: "MathXpert Symbolischer Rechner",
titleGraphDoc: "MathXpert Graphenrechner",
title_GetProblemAsync: "MathXpert Problem Library",
functionRiemannSums: "Zu integrierende Funktion",
shadowRiemannSumsID: "z.B. sin x",
from: "von",
to: "bis",
shadowfrom: "0",
shadowto: "2 pi",
nintervals: "Anzahl der Intervalle",
riemannStyle: "Stil der Rechtecke",
shadownintervals: "2^(n+1)",
inequalitytograph: "Zu zeichnende Ungleichung:",
shadowInequality: "z.B. x < y < sqrt x",
shadowPolar: "z.B. r = 2 cos theta",
shadowPolyrootsID: "z.B. x^n-1",
shadowRelationID: "(x/4)^2 + (y/3)^2 = 1 z.B.",
shadowInequalityRelationID: "y^2 <= sin^2 x z.B.",
shadowParametric: "z.B. x= cos(nt), y = sin(mt)",
shadowCompareDerivID: "sin x, oder f(x) = sin x, oder y = sin x",
styleLeft: "Links",
styleRight: "Rechts",
styleCentered: "Zentriert",
shadowODE: "y'=y oder diff(y,x) = y sin x",
odetograph: "Differentialgleichung",
initialConditions: "Bedingungen zu Beginn",
shadowInitialConditions: "(3,2)",
shadowInitialConditionsHDE: "(0,1,2)",
alertParametric: "Sie müssen zwei Formeln und den Parameterbereich eingeben.",
alertPolar: "Sie müssen eine Formel und den Bereich des Parameters eingeben.",
alertCompareGraphs: "Sie müssen zwei oder mehr Formeln eingeben, die dargestellt werden sollen.",
shadowParameterInterval: "0 <= t <= 2pi",
shadowHDE: "y''= y + y' oder diff(y,x,2) = y + diff(y,x)",
oneequalsign: "Ihre Gleichung muss genau ein = Zeichen enthalten",
toomanyconditions: "Zu viele Anfangsbedingungen",
toofewconditions: "Zu wenige Anfangsbedingungen",
badleftside: "Die linke Seite muss wie y'''... aussehen",
odeFirst: "Erste Differentialgleichung",
odeSecond: "Zweite Differentialgleichung",
ode2First: "Erste Differentialgleichung",
ode2Second: "Zweite Differentialgleichung",
parameterInterval: "Parameterintervall",
undoButtonRef: "Rück",
hintButtonRef: "Hinweis",
graphButtonRef: "Graph",
autoFinishButtonRef: "AutoEnde",
autoStepButtonRef: "AutoSchritt",
showStepButtonRef: "SchrittAnz.", // SchrittAnzeigen",
assumptionsButtonRef: "Annahmen",
finishedButtonRef: "Fertig?",
linearEquationID1: "x+y = 12",
linearEquationID2: "x-y = 4",
linearEquationID3: "x+z = 9",
linearEquationID4: "u+y+z = 7",
linearEquationID5: "x+ 2y +4t = 20",
linearEquationID6: "x+ 3y+w = 25",
title_EnterLinearEquations: "Lineare Gleichungen",
enterequations: "Lineare Gleichungen zum Lösen:",
enterequation: "Gleichung zum Lösen:",
enteridentity: "Identität zum Überprüfen:",
entersimplify: "Ausdruck zum Vereinfachen:",
enterfactor: "Ausdruck zum Faktorisieren:",
enterinequality: "Ungleichung:",
solveNowButton: "Rechne",
select: "Wähle einen Aufgabentyp",
simplify: "Vereinfachen",
factor: "Faktorisieren",
solveEquation: "Eine Gleichung lösen",
solveLinearEquations: "Lineare Gleichungen lösen", // mit einem Selektor für die Methode
substitution: "Substitution",
rowandcolumn: "Zeilenoperationen",
matrices: "Matrizenalgebra",
solveInequality: "Ungleichung lösen",
gaussJordan: "Gauss-Jordan",
matrixInverse: "Matrix-Inverse verwenden",
cramer: "Cramers Regel",
verifyIdentity: "Eine Identität überprüfen",
limits: "Grenzwert berechnen",
derivatives: "Ableiten",
integrals: "Integrieren",
sums: "Endliche Summen",
infiniteseries: "Unendliche Reihen",
evaluateseries: "Eine unendliche Reihe berechnen",
convergencetests: "Reihe auf Konvergenz prüfen", // mit einem Selektor für die Methode
integraltest: "Integralsatz",
comparisontest: "Vergleichssatz",
rootratio: "Wurzel- und Quotiententest",
powerseries: "Potenzreihen",
"tooltip-solveNowButton": "Öffnet eine MathXpert-Berechnungsseite",
"tooltip-solveEquationButton": "Öffnet eine MathXpert-Berechnungsseite",
"tooltip-selector2": "Ihre Auswahl aus dieser Liste bestimmt, wie AutoFinish und AutoStep Ihr Problem lösen.",
"tooltip-complexSelector": "Quadratwurzeln aus negativen Zahlen erlauben oder verbieten",
selector2Label: "Sie können MathXpert optional mitteilen, wie Sie die Gleichungen lösen möchten:",
alert1: "Sie müssen mindestens zwei Gleichungen eingeben.",
alert2: "Eine Gleichung muss ein = Zeichen enthalten.",
alert3: "Eine Gleichung darf nur ein = Zeichen enthalten.",
alert4: "Die Eingabe sollte die Form integral(f,x) oder integral(f,x,a,b) haben.",
alert5: "Das zweite Argument muss ein Variablenname sein.",
alert6: "Bitte geben Sie einen Ausdruck ein.",
alert7: "Bitte geben Sie eine Gleichung ein.",
alert8: "Bitte geben Sie eine Ungleichung ein.",
alert9: "Bitte geben Sie ein Intervall ein.",
integralID: "integral(sin x, x) oder integral(sin x,x,0,1)",
enterintegral: "Zu berechnendes Integral:",
enterimproperintegral: "Unbestimmtes Integral zu berechnen:",
improperintegralID: "integral(1/x^2,x,0,infinity) oder integral(1/ln x,x,0,1)",
alertlim: "Die Eingabe sollte die Form lim(x->a,f) oder lim(x->a+,f) oder lim(x->a-,f) haben",
limitID: "lim(x->0, sin(x)/x) oder lim(x->0+, sin(x)/x)",
enterlimit: "Grenzwert, der berechnet werden soll:",
derivativeID: "y = sin x oder f(x) = sin x oder sin x",
enterderivative: "Ausdruck zum Differenzieren:",
enterderivativedefn: "Zu differenzierender Ausdruck,",
enterderivativedefn2: "mit der Ableitungsdefinition:",
alertdif: "Die Eingabe sollte die Form diff(y,x) haben",
alertdif2: "In diff(y,x) müssen y und x gültige Variablennamen sein.",
enterimplicitequation: "Gleichung, die die Variablen verknüpft:",
enterimplicitderivative:"Ableitung, die berechnet werden soll:",
enterratesequation: "Gleichungen, die für alle Zeiten gelten:",
enteronetime: "Gleichung, die für eine spezielle Zeit gilt:",
functionmaxmin: "Finde die Maxima und Minima von",
interval: "im Intervall:",
maxminID1: "x^3 - x, oder y = x^3 - x, oder f(x) = x^3 - x",
alertseries: "Die Eingabe sollte die Form sum(f,n,firstIndex,unendlich) haben.",
alertinfinity: "Das letzte Argument sollte \"unendlich\" sein.",
alertlower: "Die untere Grenze der Summe muss eine bestimmte ganze Zahl sein.",
enterseries: "Zu bewertende Reihe",
seriesEval: "Berechne die Reihe",
comparisontest: "Vergleichstest",
rootorratiotest: "Wurzel- oder Quotiententest",
integraltest: "Integraltest",
selector22Label: "Was möchten Sie tun?",
enterpowerseries: "Funktion, die in eine Potenzreihe entwickelt werden soll:",
powerseries: "Potenzreihe",
real_roots: "Finde nur reale Lösungen",
complex_roots: "Finde komplexe Lösungen",
factor_quadratics: "Nur reelle Zahlen verwenden",
simple_factoring: "Nur reelle Zahlen verwenden",
alg1_factor_quadratic: "Nur reelle Zahlen verwenden",
factor_by_grouping: "Nur reelle Zahlen verwenden",
advanced_factoring: "Faktoren mit komplexen Zahlen zulassen",
done: "Fertig",
changes: "ändert",
by: "um",
cheerMessage: "Sie haben Applaus verdient. Klicken Sie auf Abspielen, um ihn zu hören.",
playButton: "Abspielen",
cheerMessage2: "Sie haben mehr als die Hälfte der Schritte ohne Unterstützung gemacht.",
selectTermHint: "Um selbst einen Schritt zu machen, wählen Sie den Ausdruck aus, den Sie ändern möchten.",
showMeButton: "Zeigen Sie mir wie",
real_simplify: "Nur reelle Zahlen verwenden",
complex_simplify: "Komplexe Zahlen zulassen",
real_identities: "Nur reelle Zahlen verwenden",
complex_identities: "Komplexe Zahlen verwenden",
topicReminder0: "Ausgewählte Methode:",
topicReminder37: "Riemann-Summen",
topicReminder38: "Trapezregel",
topicReminder39: "Simpsonsche Regel",
derivAdvice: "Wenn Sie die zweite Ableitung möchten, hier berühren oder bewegen.",
"tooltip-derivAdvice": "Geben Sie eine Gleichung wie y = sin x ein und berechnen Sie die\n Ableitung. Dann differenzieren Sie die Gleichung erneut.",
shadowODE2InputID1: "x' = f(x,y) oder x' =f(x,y,t)",
shadowODE2InputID2: "y' = g(x,y) oder y' = g(x,y,t)",
subjectHeader: "Fach",
topicHeader: "Thema",
problemNumberHeader: "Problemnummer",
acceptButton: "Ausgewähltes Problem akzeptieren",
editButton: "Ausgewähltes Problem bearbeiten",
},
french: {
mathematical: "Mathématique",
assistant: "Assistant",
make: "Créer un",
graph: "Graphique",
enter: "Saisir un",
problem: "Problème",
problem2: "Problème",
library: "Bibliothèque",
credit: "Conçu et mis en œuvre par Dr. Michael Beeson",
draw3: "Dessiner",
draw: "Dessiner",
draw2: "Dessiner",
drag: "Glisser",
changeTypeSize: "Taille du texte",
normalSize: "Normal",
largerSize: "Plus grand",
smallerSize: "Plus petit",
functiontograph: "Fonction à tracer",
functionstograph: "Fonctions à tracer",
displayButton: "Afficher",
displayButton1: "Afficher",
displayButton2: "Afficher",
displayButton3: "Afficher",
displayButton4: "Afficher",
displayButton5: "Afficher",
displayButton6: "Afficher",
displayButton7: "Afficher",
displayButton8: "Afficher",
displayButton9: "Afficher",
displayButton10: "Afficher",
shadowID1: "y = x^3-ax par exemple, ou simplement x^3-ax",
shadowInequalityID: "x < y < sqrt x ou cos x <= y <= sin x",
assumptions: "Hypothèses",
singularities: "Singularités",
jumps: "Sauts",
remarks: "Remarques",
enterfunctions: "Comparer les graphiques de",
addFunctionLabel: "Ajouter une autre fonction",
addEquationLabel: "Ajouter une autre équation",
addEquationLabel2: "Ajouter une autre équation",
dataID3: "Entrer la formule",
dataID4: "Entrer la formule",
dataID5: "Entrer la formule",
dataID6: "Entrer la formule",
"tooltip-draw3": "Tracer les graphes",
"tooltip-draw2": "Tracer le graphe",
"tooltip-displayButton1": "Afficher la formule en notation mathématique",
"tooltip-displayButton": "Afficher les équations en notation mathématique",
"tooltip-displayButton2": "Afficher la limite en notation mathématique",
"tooltip-displayButton3": "Afficher l'intégrale en notation mathématique",
"tooltip-displayButton4": "Afficher la dérivée en notation mathématique",
"tooltip-displayButton5": "Afficher l'identité en notation mathématique",
"tooltip-displayButton6": "Afficher l'équation en notation mathématique",
"tooltip-displayButton7": "Afficher l'expression en notation mathématique",
"tooltip-displayButton8": "Afficher l'inégalité en notation mathématique",
"tooltip-displayButton9": "Afficher la fonction en notation mathématique",
"tooltip-displayButton10": "Afficher la série en notation mathématique",
"tooltip-arrowButton": "Envoie un problème exemple \n dans le champ de saisie à gauche",
title_EnterOrdinaryGraph: "Entrez un graphique ordinaire",
title_EnterCompareSame: "Comparer les graphes",
title_EnterCompareDifferent: "Comparer les graphes",
title_EnterGraphPolar: "Entrer un graphe polaire",
title_EnterGraphComplexRoots: "Entrer un polynôme",
EnterGraphComplexRoots: "Tracez les racines de ce polynôme:",
title_EnterGraphParametric: "Entrer un graphe paramétrique",
EnterGraphParametric: "Entrer un graphe paramétrique:",
EnterGraphPolar: "Entrer un graphe polaire:",
title_EnterGraphInequality: "Entrer une inégalité",
title_EnterGraphRelation: "Tracer une relation",
title_EnterGraphRelationInequality: "Tracer une inégalité d'une relation",
relationtograph: "Entrer une relation avec =",
inequalityrelationtograph: "Entrer une relation avec une inégalité",
title_EnterGraphDeriv: "Comparer f et f'",
comparederiv: "Comparer f et f'. Entrer f",
title_EnterGraphDerivs: "Comparer f, f' et f''",
comparederivs: "Comparer f, f' et f''. Entrer f",
title_EnterODE: "Entrer une équation différentielle",
title_EnterTwoODEs: "Entrer deux équations différentielles",
title_EnterHDE: "Entrer une équation différentielle",
title_EnterRiemannSums: "Entrer un graphe de somme de Riemann",
title_EnterTrapezoidRule: "Entrer un graphe de la règle du trapèze",
title_EnterSimpsonsRule: "Entrer un graphe de la règle de Simpson",
titleSymbolicDoc: "MathXpert Calcul Symbolique",
titleGraphDoc: "MathXpert Grapheur",
title_GetProblemAsync: "MathXpert Problem Library",
functionRiemannSums: "Fonction à intégrer",
shadowRiemannSumsID: "par exemple sin x",
from: "de",
to: "à",
shadowfrom: "0",
shadowto: "2 pi",
nintervals: "Nombre d'intervalles",
riemannStyle: "Style des rectangles",
shadownintervals: "2^(n+1)",
inequalitytograph: "Inégalité à tracer:",
shadowInequality: "par exemple x < y < sqrt x",
shadowPolar: "par exemple r = 2 cos theta",
shadowPolyrootsID: "par exemple x^n-1",
shadowRelationID: "(x/4)^2 + (y/3)^2 = 1 par exemple",
shadowInequalityRelationID: "y^2 <= sin^2 x par exemple",
shadowParametric: "par exemple x = cos(nt), y = sin(mt)",
shadowCompareDerivID: "sin x, ou f(x) = sin x, ou y = sin x",
styleLeft: "À gauche",
styleRight: "À droite",
styleCentered: "Centré",
shadowODE: "y'=y ou diff(y,x) = y sin x",
odetograph: "Équation Différentielle",
initialConditions: "Conditions Initiales",
shadowInitialConditions: "(3,2)",
shadowInitialConditionsHDE: "(0,1,2)",
alertParametric: "Vous devez entrer deux formules et la plage du paramètre.",
alertPolar: "Vous devez saisir une formule et la plage du paramètre.",
alertCompareGraphs: "Vous devez entrer deux formules ou plus à tracer.",
shadowParameterInterval: "0 <= t <= 2pi",
shadowHDE: "y''= y + y' ou diff(y,x,2) = y + diff(y,x)",
oneequalsign: "Votre équation doit contenir exactement un signe =",
toomanyconditions: "Trop de conditions initiales",
toofewconditions: "Pas assez de conditions initiales",
badleftside: "Le côté gauche doit ressembler à y'''...",
odeFirst: "Première équation différentielle",
odeSecond: "Deuxième équation différentielle",
ode2First: "Première équation différentielle",
ode2Second: "Deuxième équation différentielle",
parameterInterval: "Intervalle de Paramètre",
undoButtonRef: "Annuler",
hintButtonRef: "Indice",
graphButtonRef: "Graphique",
autoFinishButtonRef: "TermineAuto",
autoStepButtonRef: "ÉtapeAuto",
showStepButtonRef: "MontreÉtape",
assumptionsButtonRef: "Hypothèses",
finishedButtonRef: "Terminé?",
linearEquationID1: "x+y = 12",
linearEquationID2: "x-y = 4",
linearEquationID3: "x+z = 9",
linearEquationID4: "u+y+z = 7",
linearEquationID5: "x+ 2y +4t = 20",
linearEquationID6: "x+ 3y+w = 25",
title_LinearEquations: "Équations linéaires",
title_EnterLinearEquations: "Équations Linéaires",
enterequations: "Équations linéaires à résoudre:",
enterequation: "Équation à résoudre:",
enteridentity: "Identité à vérifier:",
entersimplify: "Expression à simplifier:",
enterfactor: "Expression à factoriser",
enterinequality: "Inégalité",
solveNowButton: "Faire le calcul",
select: "Choisissez un type de problème",
simplify: "Simplifier",
factor: "Factoriser",
solveEquation: "Résoudre une équation",
solveLinearEquations: "Résoudre des équations linéaires", // avec un sélecteur pour la méthode
substitution: "Substitution",
rowandcolumn: "Opérations sur les lignes",
matrices: "Algèbre matricielle",
solveInequality: "Résoudre une inégalité",
gaussJordan: "Gauss-Jordan",
matrixInverse: "Utiliser l'inverse de la matrice",
cramer: "Règle de Cramer",
verifyIdentity: "Vérifier une identité",
limits: "Calculer une limite",
derivatives: "Dériver",
integrals: "Intégrer",
sums: "Sommes finies",
infiniteseries: "Séries infinies",
evaluateseries: "Calculer une série infinie",
convergencetests: "Tester la convergence d'une série", // avec un sélecteur pour la méthode
integraltest: "Test intégral",
comparisontest: "Test de comparaison",
rootratio: "Tests de racine et de rapport",
powerseries: "Séries de puissances",
"tooltip-solveNowButton": "Ouvre une page de calcul MathXpert",
"tooltip-solveEquationButton": "Ouvre une page de calcul MathXpert",
"tooltip-selector2": "Votre sélection dans cette liste détermine comment AutoFinish et AutoStep résoudront votre problème.",
"tooltip-complexSelector": "Autoriser ou interdire les racines carrées de nombres négatifs",
selector2Label: "Vous pouvez, si vous le souhaitez, indiquer à MathXpert comment vous voulez résoudre les équations :",
alert1: "Vous devez entrer au moins deux équations.",
alert2: "Une équation doit contenir un signe =.",
alert3: "Une équation ne doit contenir qu'un seul signe =.",
alert4: "La saisie doit avoir la forme integral(f,x) ou integral(f,x,a,b).",
alert5: "Le deuxième argument doit être un nom de variable.",
alert6: "Veuillez entrer une expression.",
alert7: "Veuillez entrer une équation.",
alert8: "Veuillez entrer une inégalité.",
alert9: "Veuillez entrer un intervalle.",
integralID: "integral(sin x, x) ou integral(sin x,x,0,1)",
enterintegral: "Intégrale à évaluer :",
enterimproperintegral: "Intégrale impropre à évaluer :",
improperintegralID: "integral(1/x^2,x,0,infinity) ou integral(1/ln x,x,0,1)",
alertlim: "L'entrée doit avoir la forme lim(x->a,f) ou lim(x->a+,f) ou lim(x->a-,f)",
limitID: "lim(x->0, sin(x)/x) ou lim(x->0+, sin(x)/x)",
enterlimit: "Limite à évaluer :",
derivativeID: "y = sin x ou f(x) = sin x ou sin x",
enterderivative: "Expression à différencier :",
enterderivativedefn: "Expression à dériver,",
enterderivativedefn2: "en utilisant la définition de la dérivée :",
alertdif: "L'entrée doit avoir la forme diff(y,x)",
alertdif2: "Dans diff(y,x), y et x doivent être des noms de variables valides.",
enterimplicitequation: "Équation reliant les variables :",
enterimplicitderivative:"Dérivée à calculer :",
enterratesequation: "Équations valables pour tous les temps :",
enteronetime: "Équation valable pour un moment précis :",
functionmaxmin: "Trouver les maxima et minima de",
interval: "sur l'intervalle :",
maxminID1: "x^3 - x, ou y = x^3 - x, ou f(x) = x^3 - x",
alertseries: "L'entrée doit avoir la forme sum(f,n,firstIndex,infinity).",
alertinfinity: "Le dernier argument doit être \"infinity\".",
alertlower: "La limite inférieure de la somme doit être un entier spécifique.",
enterseries: "Série à évaluer",
seriesEval: "Évaluer la série",
comparisontest: "Test de comparaison",
rootorratiotest: "Test de racine ou de rapport",
integraltest: "Test intégral",
selector22Label: "Que voulez-vous faire ?",
enterpowerseries: "Fonction à développer en série de puissances :",
powerseries: "Série de puissances",
real_roots: "Trouver uniquement des solutions réelles",
complex_roots: "Trouver des solutions complexes",
factor_quadratics: "Utiliser uniquement des nombres réels",
simple_factoring: "Usar solo números reales",
alg1_factor_quadratic: "Usar solo números reales",
factor_by_grouping: "Usar solo números reales",
simple_factoring: "Utiliser uniquement des nombres réels",
alg1_factor_quadratic: "Utiliser uniquement des nombres réels",
factor_by_grouping: "Utiliser uniquement des nombres réels",
advanced_factoring: "Autoriser des facteurs avec des nombres complexes",
done: "Terminé",
changes: "modifie",
by: "de",
cheerMessage: "Vous avez mérité des applaudissements. Cliquez sur Lecture pour les entendre.",
playButton: "Lecture",
cheerMessage2: "Vous avez effectué plus de la moitié des étapes sans assistance.",
selectTermHint: "Pour effectuer une étape vous-même, sélectionnez l'expression que vous souhaitez modifier.",
showMeButton: "Montrez-moi comment",
real_simplify: "Utiliser uniquement des nombres réels",
complex_simplify: "Autoriser les nombres complexes",
real_identities: "Utiliser uniquement des nombres réels",
complex_identities: "Utiliser des nombres complexes",
topicReminder0: "Méthode sélectionnée:",
topicReminder37: "Sommes de Riemann",
topicReminder38: "Règle du trapèze",
topicReminder39: "Règle de Simpson",
derivAdvice: "Si vous voulez la dérivée seconde, survolez ici.",
"tooltip-derivAdvice": "Entrez une équation comme y = sin x et calculez la dérivée. \n Ensuite, dérivez l'équation à nouveau.",
shadowODE2InputID1: "x' = f(x,y) ou x' =f(x,y,t)",
shadowODE2InputID2: "y' = g(x,y) ou y' = g(x,y,t)",
subjectHeader: "Sujet",
topicHeader: "Sujet",
problemNumberHeader: "Numéro du problème",
acceptButton: "Accepter le problème sélectionné",
editButton: "Modifier le problème sélectionné",
},
spanish: {
mathematical: "Matemático",
assistant: "Asistente",
make: "Crear un",
graph: "Gráfico",
enter: "Ingresar un",
problem: "Problema",
problem2: "Problema",
library: "Biblioteca",
credit: "Diseñado e implementado por Dr. Michael Beeson",
draw3: "Dibujar",
draw: "Dibujar",
draw2: "Dibujar",
drag: "Arrastrar",
changeTypeSize: "Tamaño de fuente",
normalSize: "Normal",
largerSize: "Más grande",
smallerSize: "Más pequeño",
functiontograph: "Función para graficar",
functionstograph: "Funciones para graficar",
displayButton: "Mostrar",
displayButton1: "Mostrar",
displayButton2: "Mostrar",
displayButton3: "Mostrar",
displayButton4: "Mostrar",
displayButton5: "Mostrar",
displayButton6: "Mostrar",
displayButton7: "Mostrar",
displayButton8: "Mostrar",
displayButton9: "Mostrar",
displayButton10: "Mostrar",
shadowID1: "y = x^3-ax, por ejemplo, o simplemente x^3-ax",
shadowInequalityID: "x < y < sqrt x o cos x <= y <= sin x",
assumptions: "Suposiciones",
singularities: "Singularidades",
jumps: "Saltos",
remarks: "Observaciones",
enterfunctions: "Comparar los gráficos de",
addFunctionLabel: "Agregar otra función",
addEquationLabel: "Agregar otra ecuación",
addEquationLabel2: "Agregar otra ecuación",
dataID3: "Ingresar fórmula",
dataID4: "Ingresar fórmula",
dataID5: "Ingresar fórmula",
dataID6: "Ingresar fórmula",
"tooltip-draw3": "Dibujar los gráficos",
"tooltip-draw2": "Dibujar el gráfico",
"tooltip-displayButton1": "Mostrar la fórmula en notación matemática",
"tooltip-displayButton": "Mostrar las ecuaciones en notación matemática",
"tooltip-displayButton2": "Mostrar el límite en notación matemática",
"tooltip-displayButton3": "Mostrar la integral en notación matemática",
"tooltip-displayButton4": "Mostrar la derivada en notación matemática",
"tooltip-displayButton5": "Mostrar la identidad en notación matemática",
"tooltip-displayButton6": "Mostrar la ecuación en notación matemática",
"tooltip-displayButton7": "Mostrar la expresión en notación matemática",
"tooltip-displayButton8": "Mostrar la desigualdad en notación matemática",
"tooltip-displayButton9": "Mostrar la función en notación matemática",
"tooltip-displayButton10": "Mostrar la serie en notación matemática",
"tooltip-arrowButton": "Lanza un problema de ejemplo \n en el campo de entrada a la izquierda",
title_EnterOrdinaryGraph: "Introduzca un gráfico ordinario",
title_EnterCompareSame: "Comparar gráficos",
title_EnterCompareDifferent: "Comparar gráficos",
title_EnterGraphPolar: "Ingresar un gráfico polar",
title_EnterGraphComplexRoots: "Ingresar un polinomio",
EnterGraphComplexRoots: "Dibuja las raíces de este polinomio:",
title_EnterGraphParametric: "Ingresar un gráfico paramétrico",
EnterGraphParametric: "Ingresar un gráfico paramétrico:",
EnterGraphPolar:"Ingresar un gráfico polar:",
title_EnterGraphInequality: "Ingresar una desigualdad",
title_EnterGraphRelation: "Graficar una relación",
title_EnterGraphRelationInequality: "Graficar una inecuación de una relación",
relationtograph: "Ingresar una relación con =",
inequalityrelationtograph: "Ingresar una relación con desigualdad",
title_EnterGraphDeriv: "Comparar f y f'",
comparederiv: "Comparar f y f'. Ingresar f",
title_EnterGraphDerivs: "Comparar f, f' y f''",
comparederivs: "Comparar f, f' y f''. Ingresar f",
title_EnterODE: "Ingresar una ecuación diferencial",
title_EnterTwoODEs: "Ingresar dos ecuaciones diferenciales",
title_EnterHDE: "Ingresar una ecuación diferencial",
title_EnterRiemannSums: "Ingresar un gráfico de suma de Riemann",
title_EnterTrapezoidRule: "Ingresar un gráfico de la regla del trapecio",
title_EnterSimpsonsRule: "Ingresar un gráfico de la regla de Simpson",
titleSymbolicDoc: "MathXpert Calculadora Simbólica",
titleGraphDoc: "MathXpert Graficador",
title_GetProblemAsync: "MathXpert Problem Library",
functionRiemannSums: "Función a integrar",
shadowRiemannSumsID: "por ejemplo sin x",
from: "de",
to: "a",
shadowfrom: "0",
shadowto: "2 pi",
nintervals: "Número de intervalos",
riemannStyle: "Estilo de los rectángulos",
shadownintervals: "2^(n+1)",
inequalitytograph: "Desigualdad a graficar:",
shadowInequality: "por ejemplo x < y < sqrt x",
shadowPolar: "por ejemplo r = 2 cos theta",
shadowPolyrootsID: "por ejemplo x^n-1",
shadowRelationID: "(x/4)^2 + (y/3)^2 = 1 por ejemplo",
shadowInequalityRelationID: "y^2 <= sin^2 x por ejemplo",
shadowParametric: "por ejemplo x = cos(nt), y = sin(mt)",
shadowCompareDerivID: "sin x, o f(x) = sin x, o y = sin x",
styleLeft: "Izquierda",
styleRight: "Derecha",
styleCentered: "Centrado",
shadowODE: "y'=y o diff(y,x) = y sin x",
odetograph: "Ecuación Diferencial",
initialConditions: "Condiciones Iniciales",
shadowInitialConditions: "(3,2)",
shadowInitialConditionsHDE: "(0,1,2)",
alertParametric: "Debe ingresar dos fórmulas y el rango del parámetro." ,
alertPolar: "Debe ingresar una fórmula y el rango del parámetro.",
alertCompareGraphs: "Vous devez entrer deux formules ou plus à tracer.",
shadowParameterInterval: "0 <= t <= 2pi",
shadowHDE: "y''= y + y' o diff(y,x,2) = y + diff(y,x)",
oneequalsign: "Su ecuación debe contener exactamente un signo =",
toomanyconditions: "Demasiadas condiciones iniciales",
toofewconditions: "No hay suficientes condiciones iniciales",
badleftside: "El lado izquierdo debe parecerse a y'''...",
odeFirst: "Primera ecuación diferencial",
odeSecond: "Segunda ecuación diferencial",
ode2First: "Primera ecuación diferencial",
ode2Second: "Segunda ecuación diferencial",
parameterInterval: "Intervalo de Parámetros",
undoButtonRef: "Deshacer",
hintButtonRef: "Pista",
graphButtonRef: "Gráfico",
autoFinishButtonRef: "AutoFin", // not "AutoFinalizar",
autoStepButtonRef: "AutoPaso",
showStepButtonRef: "MostrarPaso",
assumptionsButtonRef: "Supuestos",
finishedButtonRef: "¿Terminado?",
linearEquationID1: "x+y = 12",
linearEquationID2: "x-y = 4",
linearEquationID3: "x+z = 9",
linearEquationID4: "u+y+z = 7",
linearEquationID5: "x+ 2y +4t = 20",
linearEquationID6: "x+ 3y+w = 25",
title_EnterLinearEquations: "Ecuaciones Lineales",
enterequations: "Ecuaciones lineales para resolver:",
enterequation: "Ecuación a resolver:",
enteridentity: "Identidad a verificar:",
entersimplify: "Expresión a simplificar:",
enterfactor: "Expresión a factorizar:",
enterinequality: "Desigualdad:",
solveNowButton: "Realizar el cálculo",
select: "Seleccionar un tipo de problema",
simplify: "Simplificar",
factor: "Factorizar",
solveEquation: "Resolver una ecuación",
solveLinearEquations: "Resolver ecuaciones lineales", // con un selector para el método
substitution: "Sustitución",
rowandcolumn: "Operaciones con filas",
matrices: "Álgebra matricial",
solveInequality: "Resolver una desigualdad",
gaussJordan: "Gauss-Jordan",
matrixInverse: "Usar la inversa de la matriz",
cramer: "Regla de Cramer",
verifyIdentity: "Verificar una identidad",
limits: "Evaluar un límite",
derivatives: "Diferenciar",
integrals: "Integrar",
sums: "Sumas finitas",
infiniteseries: "Series infinitas",
evaluateseries: "Evaluar una serie infinita",
convergencetests: "Probar la convergencia de una serie", // con un selector para el método
integraltest: "Prueba del integral",
comparisontest: "Prueba de comparación",
rootratio: "Pruebas de raíz y razón",
powerseries: "Series de potencias",
"tooltip-solveNowButton": "Abre una página de cálculo de MathXpert",
"tooltip-solveEquationButton": "Abre una página de cálculo de MathXpert",
"tooltip-selector2": "Su selección de esta lista determina cómo AutoFinish y AutoStep resolverán su problema.",
"tooltip-complexSelector": "Permitir o prohibir las raíces cuadradas de números negativos",
selector2Label: "Opcionalmente, puede decirle a MathXpert cómo desea resolver las ecuaciones:",
alert1: "Debe ingresar al menos dos ecuaciones.",
alert2: "Una ecuación debe contener un signo =.",
alert3: "Una ecuación debe contener solo un signo =.",
alert4: "La entrada debe tener la forma integral(f,x) o integral(f,x,a,b).",
alert5: "El segundo argumento debe ser un nombre de variable.",
alert6: "Por favor, introduzca una expresión.",
alert7: "Por favor, introduzca una ecuación.",
alert8: "Por favor, introduzca una desigualdad.",
alert9: "Por favor, introduzca un intervalo.",
integralID: "integral(sin x, x) o integral(sin x,x,0,1)",
enterintegral: "Integral a evaluar:",
enterimproperintegral: "Integral impropia para evaluar:",
improperintegralID: "integral(1/x^2,x,0,infinity) o integral(1/ln x,x,0,1)",
alertlim: "La entrada debe tener la forma lim(x->a,f) o lim(x->a+,f) o lim(x->a-,f)",
limitID: "lim(x->0, sin(x)/x) o lim(x->0+, sin(x)/x)",
enterlimit: "Límite a evaluar:",
derivativeID: "y = sin x o f(x) = sin x o sin x",
enterderivative: "Expresión a derivar:",
enterderivativedefn: "Expresión a derivar,",
enterderivativedefn2: "usando la definición de derivada:",
alertdif: "La entrada debe tener la forma diff(y,x)",
alertdif2: "En diff(y,x), y y x deben ser nombres de variables válidos.",
enterimplicitequation: "Ecuación que relaciona las variables:",
enterimplicitderivative:"Derivada a calcular:",
enterratesequation: "Ecuaciones válidas para todos los tiempos:",
enteronetime: "Ecuación válida para un momento específico:",
functionmaxmin: "Encontrar los máximos y mínimos de",
interval: "en el intervalo:",
maxminID1: "x^3 - x, o y = x^3 - x, o f(x) = x^3 - x",
alertseries: "La entrada debe tener la forma sum(f,n,firstIndex,infinity).",
alertinfinity: "El último argumento debe ser \"infinity\".",
alertlower: "El límite inferior de la suma debe ser un número entero específico.",
enterseries: "Serie a evaluar",
seriesEval: "Evaluar la serie",
comparisontest: "Prueba de comparación",
rootorratiotest: "Prueba de raíz o razón",
integraltest: "Prueba integral",
selector22Label: "¿Qué quieres hacer?",
enterpowerseries: "Función para expandir en una serie de potencias:",
powerseries: "Serie de potencias",
real_roots: "Encontrar solo soluciones reales",
complex_roots: "Encontrar soluciones complejas",
factor_quadratics: "Usar solo números reales",
simple_factoring: "Usa solo numeri reali",
alg1_factor_quadratic: "Usa solo numeri reali",
factor_by_grouping: "Usa solo numeri reali",
advanced_factoring: "Permitir factores con números complejos",
done: "Hecho",
changes: "cambia",
by: "por",
cheerMessage: "Has ganado un aplauso. Haz clic en Reproducir para escucharlo.",
playButton: "Reproducir",
cheerMessage2: "Has realizado más de la mitad de los pasos sin ayuda.",
selectTermHint: "Para realizar un paso tú mismo, selecciona la expresión que deseas cambiar.",
showMeButton: "Muéstrame cómo",
real_simplify: "Usar solo números reales",
complex_simplify: "Permitir números complejos",
real_identities: "Usar solo números reales",
complex_identities: "Usar números complejos",
topicReminder0: "Método seleccionado:",
topicReminder37: "Sumas de Riemann",
topicReminder38: "Regla del trapecio",
topicReminder39: "Regla de Simpson",
derivAdvice: "Si quieres la segunda derivada, pasa el cursor aquí.",
"tooltip-derivAdvice": "Introduce una ecuación como y = sin x y calcula la derivada. \n Luego, deriva la ecuación nuevamente.",
shadowODE2InputID1: "x' = f(x,y) o x' =f(x,y,t)",
shadowODE2InputID2: "y' = g(x,y) o y' = g(x,y,t)",
subjectHeader: "Asignatura",
topicHeader: "Tema",
problemNumberHeader: "Número de problema",
acceptButton: "Aceptar el problema seleccionado",
editButton: "Editar el problema seleccionado",
},
italian: {
mathematical: "Matematico",
assistant: "Assistente",
make: "Crea un",
graph: "Grafico",
enter: "Inserisci un",
problem: "Problema",
problem2: "Problema",
library: "Libreria",
credit: "Progettato e implementato da Dr. Michael Beeson",
draw3: "Disegna",
draw: "Disegna",
draw2: "Disegna",
drag: "Trascina",
changeTypeSize: "Dimensione del testo",
normalSize: "Normale",
largerSize: "Più grande",
smallerSize: "Più piccolo",
functiontograph: "Funzione da graficare",
functionstograph: "Funzioni da graficare",
displayButton: "Visualizza",
displayButton1: "Visualizza",
displayButton2: "Visualizza",
displayButton3: "Visualizza",
displayButton4: "Visualizza",
displayButton5: "Visualizza",
displayButton6: "Visualizza",
displayButton7: "Visualizza",
displayButton8: "Visualizza",
displayButton9: "Visualizza",
displayButton10: "Visualizza",
shadowID1: "y = x^3-ax, ad esempio, o semplicemente x^3-ax",
shadowInequalityID: "x < y < sqrt x o cos x <= y <= sin x",
assumptions: "Assunzioni",
singularities: "Singolarità",
jumps: "Salti",
remarks: "Osservazioni",
enterfunctions: "Confronta i grafici di",
addFunctionLabel: "Aggiungi un'altra funzione",
addEquationLabel: "Aggiungi un'altra equazione",
addEquationLabel2: "Aggiungi un'altra equazione",
dataID3: "Inserisci formula",
dataID4: "Inserisci formula",
dataID5: "Inserisci formula",
dataID6: "Inserisci formula",
"tooltip-draw3": "Disegna i grafici",
"tooltip-draw2": "Disegna il grafico",
"tooltip-displayButton1": "Visualizza la formula in notazione matematica",
"tooltip-displayButton": "Visualizza le ecuaciones in notazione matematica",
"tooltip-displayButton2": "Visualizza il limite in notazione matematica",
"tooltip-displayButton3": "Visualizza l'integrale in notazione matematica",
"tooltip-displayButton4": "Mostra la derivata in notazione matematica",
"tooltip-displayButton5": "Mostra l'identità in notazione matematica",
"tooltip-displayButton6": "Mostra l'equazione in notazione matematica",
"tooltip-displayButton7": "Mostra l'espressione in notazione matematica",
"tooltip-displayButton8": "Mostra la disuguaglianza in notazione matematica",
"tooltip-displayButton9": "Mostrar la función en notación matemática",
"tooltip-displayButton10": "Mostrar la serie en notación matemática",
"tooltip-arrowButton": "Invia un problema di esempio \n nel campo di inserimento a sinistra",
title_EnterOrdinaryGraph: "Inserisci un grafico ordinario",
title_EnterCompareSame: "Confronta grafici",
title_EnterCompareDifferent: "Confronta grafici",
title_EnterGraphPolar: "Inserisci un grafico polare",
title_EnterGraphComplexRoots: "Inserisci un polinomio",
EnterGraphComplexRoots: "Disegna le radici di questo polinomio:",
title_EnterGraphParametric: "Inserisci un grafico parametrico",
EnterGraphPolar: "Inserisci un grafico polare:",
EnterGraphParametric: "Inserisci un grafico parametrico:",
title_EnterGraphInequality: "Inserisci una disuguaglianza",
title_EnterGraphRelation: "Disegnare una relazione",
title_EnterGraphRelationInequality: "Disegnare una disequazione di una relazione",
relationtograph: "Inserisci una relazione con =",
inequalityrelationtograph: "Inserisci una relazione con disuguaglianza",
title_EnterGraphDeriv: "Confronta f e f'",
comparederiv: "Confronta f e f'. Inserisci f",
title_EnterGraphDerivs: "Confronta f, f' e f''. Inserisci f",
comparederivs: "Confronta f, f' e f''",
title_EnterODE: "Inserisci un'equazione differenziale",
title_EnterTwoODEs: "Inserisci due ecuaciones differenziali",
title_EnterHDE: "Inserisci un'equazione differenziale",
title_EnterRiemannSums: "Inserisci un grafico della somma di Riemann",
title_EnterTrapezoidRule: "Inserisci un grafico della regola del trapezio",
title_EnterSimpsonsRule: "Inserisci un grafico della regola di Simpson",
titleSymbolicDoc: "MathXpert Calcolatore Simbolico",
titleGraphDoc: "MathXpert Grafico",
title_GetProblemAsync: "MathXpert Problem Library",
functionRiemannSums: "Funzione da integrare",
shadowRiemannSumsID: "per esempio sin x",
from: "da",
to: "a",
shadowfrom: "0",
shadowto: "2 pi",
nintervals: "Numero di intervalli",
riemannStyle: "Stile dei rettangoli",
shadownintervals: "2^(n+1)",
inequalitytograph: "Disuguaglianza da tracciare:",
shadowInequality: "per esempio x < y < sqrt x",
shadowPolar: "per esempio r = 2 cos theta",
shadowPolyrootsID: "per esempio x^n-1",
shadowRelationID: "(x/4)^2 + (y/3)^2 = 1 per esempio",
shadowInequalityRelationID: "y^2 <= sin^2 x per esempio",
shadowParametric: "per esempio x = cos(nt), y = sin(mt)",
shadowCompareDerivID: "sin x, o f(x) = sin x, o y = sin x",
styleLeft: "Sinistra",
styleRight: "Destra",
styleCentered: "Centrato",
shadowODE: "y'=y o diff(y,x) = y sin x",
odetograph: "Equazione Differenziale",
initialConditions: "Condizioni Iniziali",
shadowInitialConditions: "(3,2)",
shadowInitialConditionsHDE: "(0,1,2)",
alertParametric: "È necessario inserire due formule e l'intervallo del parametro.",
alertPolar: "Devi inserire una formula e l'intervallo del parametro.",
alertCompareGraphs: "Devi inserire due o più formule da graficare.",
shadowParameterInterval: "0 <= t <= 2pi",
shadowHDE: "y''= y + y' o diff(y,x,2) = y + diff(y,x)",
oneequalsign: "La tua equazione deve contenere esattamente un segno =",
toomanyconditions: "Troppe condizioni iniziali",
toofewconditions: "Non ci sono abbastanza condizioni iniziali",
badleftside: "Il lato sinistro deve essere simile a y'''...",
odeFirst: "Prima equazione differenziale",
odeSecond: "Seconda equazione differenziale",
ode2First: "Prima equazione differenziale",
ode2Second: "Seconda equazione differenziale",
parameterInterval: "Intervallo dei Parametri",
undoButtonRef: "Annulla",
hintButtonRef: "Dritta",
graphButtonRef: "Grafico",
autoFinishButtonRef: "AutoFine",
autoStepButtonRef: "AutoPasso",
showStepButtonRef: "MostraPasso",
assumptionsButtonRef: "Assunzioni",
finishedButtonRef: "Finito?",
linearEquationID1: "x+y = 12",
linearEquationID2: "x-y = 4",
linearEquationID3: "x+z = 9",
linearEquationID4: "u+y+z = 7",
linearEquationID5: "x+ 2y +4t = 20",
linearEquationID6: "x+ 3y+w = 25",
title_EnterLinearEquations: "Equazioni Lineari",
enterequations: "Equazioni lineari da risolvere:",
enterequation: "Equazione da risolvere:",
enteridentity: "Identità da verificare:",
entersimplify: "Espressione da semplificare:",
enterfactor: "Espressione da fattorizzare",
enterinequality: "Disuguaglianza:",
solveNowButton: "Fai il calcolo",
select: "Seleziona un tipo di problema",
simplify: "Semplificare",
factor: "Fattorizzare",
solveEquation: "Risolvi un'equazione",
solveLinearEquations: "Risolvi equazioni lineari", // con un selettore per il metodo
substitution: "Sostituzione",
rowandcolumn: "Operazioni su righe",
matrices: "Algebra matriciale",
solveInequality: "Risolvi una disuguaglianza",
gaussJordan: "Gauss-Jordan",
matrixInverse: "Usa l'inversa della matrice",
cramer: "Regola di Cramer",
verifyIdentity: "Verifica un'identità",
limits: "Calcola un limite",
derivatives: "Derivare",
integrals: "Integrare",
sums: "Somme finite",
infiniteseries: "Serie infinite",
evaluateseries: "Calcola una serie infinita",
convergencetests: "Testa la convergenza di una serie", // con un selettore per il metodo
integraltest: "Test dell'integrale",
comparisontest: "Test di confronto",
rootratio: "Test della radice e del rapporto",
powerseries: "Serie di potenze",
"tooltip-solveNowButton": "Apre una pagina di calcolo MathXpert",
"tooltip-solveEquationButton": "Apre una pagina di calcolo MathXpert",
"tooltip-selector2": "La tua selezione da questa lista determina come AutoFinish e AutoStep risolveranno il tuo problema.",
"tooltip-complexSelector": "Permettere o vietare le radici quadrate di numeri negativi",
selector2Label: "Puoi opzionalmente dire a MathXpert come desideri risolvere le equazioni:",
alert1: "È necessario inserire almeno due equazioni.",
alert2: "Un'equazione deve contenere un segno =.",
alert3: "Un'equazione deve contenere solo un segno =.",
alert4: "L'input deve avere la forma integral(f,x) o integral(f,x,a,b).",
alert5: "Il secondo argomento deve essere un nome di variabile.",
alert6: "Per favore, inserisci un'espressione.",
alert7: "Per favore, inserisci un'equazione.",
alert8: "Per favore, inserisci una disuguaglianza.",
alert9: "Per favore, inserisci un intervallo.",
integralID: "integral(sin x, x) o integral(sin x,x,0,1)",
enterintegral: "Integrale da valutare:",
enterimproperintegral: "Integrale improprio da valutare:",
improperintegralID: "integral(1/x^2,x,0,infinity) o integral(1/ln x,x,0,1)",
alertlim: "L'input deve avere la forma lim(x->a,f) o lim(x->a+,f) o lim(x->a-,f)",
limitID: "lim(x->0, sin(x)/x) o lim(x->0+, sin(x)/x)",
enterlimit: "Limite da valutare:",
derivativeID: "y = sin x o f(x) = sin x o sin x",
enterderivative: "Espressione da derivare:",
enterderivativedefn: "Espressione da derivare,",
enterderivativedefn2: "usando la definizione di derivata:",
alertdif: "L'input deve avere la forma diff(y,x)",
alertdif2: "In diff(y,x), y e x devono essere nomi di variabili validi.",
enterimplicitequation: "Equazione che collega le variabili:",
enterimplicitderivative:"Derivata da calcolare:",
enterratesequation: "Equazioni valide per tutti i tempi:",
enteronetime: "Equazione valida per un momento specifico:",
functionmaxmin: "Trova i massimi e i minimi di",
interval: "nell'intervallo:",
maxminID1: "x^3 - x, oppure y = x^3 - x, oppure f(x) = x^3 - x",
alertseries: "L'input deve avere la forma sum(f,n,firstIndex,infinity).",
alertinfinity: "L'ultimo argomento deve essere \"infinity\".",
alertlower: "Il limite inferiore della somma deve essere un numero intero specifico.",
enterseries: "Serie da valutare",
seriesEval: "Valuta la serie",
comparisontest: "Test di confronto",
rootorratiotest: "Test della radice o del rapporto",
integraltest: "Test integrale",
selector22Label: "Cosa vuoi fare?",
enterpowerseries: "Funzione da espandere in una serie di potenze:",
powerseries: "Serie di potenze",
real_roots: "Trova solo soluzioni reali",
complex_roots: "Trova soluzioni complesse",
factor_quadratics: "Usa solo numeri reali",
simple_factoring: "Usa solo numeri reali",
alg1_factor_quadratic: "Usa solo numeri reali",
factor_by_grouping: "Usa solo numeri reali",
advanced_factoring: "Permetti fattori con numeri complessi",
done: "Fatto",
changes: "cambia",
by: "di",
cheerMessage: "Hai guadagnato un applauso. Fai clic su Riproduci per ascoltarlo.",
playButton: "Riproduci",
cheerMessage2: "Hai eseguito più della metà dei passaggi senza assistenza.",
selectTermHint: "Per fare un passo da solo, seleziona l'espressione che vuoi cambiare.",
showMeButton: "Mostrami come",
real_simplify: "Usa solo numeri reali",
complex_simplify: "Permetti numeri complessi",
real_identities: "Usa solo numeri reali",
complex_identities: "Usa numeri complessi",
topicReminder0: "Metodo selezionato:",
topicReminder37: "Somme di Riemann",
topicReminder38: "Regola del trapezio",
topicReminder39: "Regola di Simpson",
derivAdvice: "Se vuoi la seconda derivata, passa il mouse qui.",
"tooltip-derivAdvice": "Inserisci un'equazione come y = sin x e calcola la derivata. \n Quindi, deriva nuovamente l'equazione.",
shadowODE2InputID1: "x' = f(x,y) o x' =f(x,y,t)",
shadowODE2InputID2: "y' = g(x,y) o y' = g(x,y,t)",
subjectHeader: "Materia",
topicHeader: "Argomento",
problemNumberHeader: "Numero del problema",
acceptButton: "Accetta il problema selezionato",
editButton: "Modifica il problema selezionato",
},
dutch: {
mathematical: "Wiskundig",
assistant: "Assistent",
make: "Maak een",
graph: "Grafiek",
enter: "Voer een",
problem: "Probleem",
problem2: "Probleem",
library: "Bibliotheek",
credit: "Ontworpen en geïmplementeerd door Dr. Michael Beeson",
draw3: "Teken",
draw: "Teken",
draw2: "Teken",
drag: "Slepen",
changeTypeSize: "Lettergrootte",
normalSize: "Normaal",
largerSize: "Groter",
smallerSize: "Kleiner",
functiontograph: "Functie om te tekenen",
functionstograph: "Functies om te tekenen",
displayButton: "Weergave",
displayButton1: "Weergave",
displayButton2: "Weergave",
displayButton3: "Weergave",
displayButton4: "Weergave",
displayButton5: "Weergave",
displayButton6: "Weergave",
displayButton7: "Weergave",
displayButton8: "Weergave",
displayButton9: "Weergave",
displayButton10: "Weergave",
shadowID1: "y = x^3-ax bijvoorbeeld, of gewoon x^3-ax",
shadowInequalityID: "x < y < sqrt x of cos x <= y <= sin x",
assumptions: "Aannames",
singularities: "Singulariteiten",
jumps: "Sprongen",
remarks: "Opmerkingen",
enterfunctions: "Vergelijk de grafieken van",
addFunctionLabel: "Voeg een andere functie toe",
addEquationLabel: "Voeg een andere vergelijking toe",
addEquationLabel2: "Voeg een andere vergelijking toe",
dataID3: "Voer formule in",
dataID4: "Voer formule in",
dataID5: "Voer formule in",
dataID6: "Voer formule in",
"tooltip-draw3": "Teken de grafieken",
"tooltip-draw2": "Teken de grafiek",
"tooltip-displayButton1": "Toon de formule in wiskundige notatie",
"tooltip-displayButton": "Toon de vergelijkingen in wiskundige notatie",
"tooltip-displayButton2": "De limiet in wiskundige notatie weergeven",
"tooltip-displayButton3": "Toon de integraal in wiskundige notatie",
"tooltip-displayButton4": "Toon de afgeleide in wiskundige notatie",
"tooltip-displayButton5": "Toon de identiteit in wiskundige notatie",
"tooltip-displayButton6": "Toon de vergelijking in wiskundige notatie",
"tooltip-displayButton7": "Toon de uitdrukking in wiskundige notatie",
"tooltip-displayButton8": "Toon de ongelijkheid in wiskundige notatie",
"tooltip-displayButton9": "Toon de functie in wiskundige notatie",
"tooltip-displayButton10": "Toon de reeks in wiskundige notatie",
"tooltip-arrowButton": "Schiet een voorbeeldprobleem \n in het invoerveld links",
title_EnterOrdinaryGraph: "Voer een gewone grafiek in",
title_EnterCompareSame: "Vergelijk grafieken",
title_EnterCompareDifferent: "Vergelijk grafieken",
title_EnterGraphPolar: "Voer een polaire grafiek in",
title_EnterGraphComplexRoots: "Voer een polynoom in",
EnterGraphComplexRoots: "Teken de wortels van dit polynoom:",
title_EnterGraphParametric: "Voer een parametrische grafiek in",
EnterGraphParametric: "Voer een parametrische grafiek in:",
EnterGraphPolar:"Voer een polaire grafiek in:",
title_EnterGraphInequality: "Voer een ongelijkheid in",
title_EnterGraphRelation: "Een relatie tekenen",
title_EnterGraphRelationInequality: "Een ongelijkheid van een relatie tekenen",
relationtograph: "Voer een relatie met = in",
inequalityrelationtograph: "Voer een relatie met ongelijkheid in",
title_EnterGraphDeriv: "Vergelijk f en f'",
comparederiv: "Vergelijk f en f'. Voer f in",
title_EnterGraphDerivs: "Vergelijk f, f' en f''. Voer f in",
comparederivs: "Vergelijk f, f' en f''",
title_EnterODE: "Voer een differentiaalvergelijking in",
title_EnterTwoODEs: "Voer twee differentiaalvergelijkingen in",
title_EnterHDE: "Voer een differentiaalvergelijking in",
title_EnterRiemannSums: "Voer een Riemann-sommen grafiek in",
title_EnterTrapezoidRule: "Voer een trapeziumregel grafiek in",
title_EnterSimpsonsRule: "Voer een Simpson-regel grafiek in",
titleSymbolicDoc: "MathXpert Symbolische Calculator",
titleGraphDoc: "MathXpert Graficus",
title_GetProblemAsync: "MathXpert Problem Library",
functionRiemannSums: "Functie om te integreren",
shadowRiemannSumsID: "bijvoorbeeld sin x",
from: "van",
to: "tot",
shadowfrom: "0",
shadowto: "2 pi",
nintervals: "Aantal intervallen",
riemannStyle: "Stijl van rechthoeken",
shadownintervals: "2^(n+1)",
inequalitytograph: "Ongelijkheid om te grafieken:",
shadowInequality: "bijvoorbeeld x < y < sqrt x",
shadowPolar: "bijvoorbeeld r = 2 cos theta",
shadowPolyrootsID: "bijvoorbeeld x^n-1",
shadowRelationID: "(x/4)^2 + (y/3)^2 = 1 bijvoorbeeld",
shadowInequalityRelationID: "y^2 <= sin^2 x bivoorbeeld",
shadowParametric: "bijvoorbeeld x = cos(nt), y = sin(mt)",
shadowCompareDerivID: "sin x, of f(x) = sin x, of y = sin x",
styleLeft: "Links",
styleRight: "Rechts",
styleCentered: "Gecentreerd",
shadowODE: "y'=y of diff(y,x) = y sin x",
odetograph: "Differentiaalvergelijking",
initialConditions: "Beginvoorwaarden",
shadowInitialConditions: "(3,2)",
shadowInitialConditionsHDE: "(0,1,2)",
alertParametric: "U moet twee formules en het bereik van de parameter invoeren.",
alertPolar: "Je moet een formule en het bereik van de parameter invoeren.",
alertCompareGraphs: "U moet twee of meer formules invoeren om te grafieken.",
shadowParameterInterval: "0 <= t <= 2pi",
shadowHDE: "y''= y + y' of diff(y,x,2) = y + diff(y,x)",
oneequalsign: "Uw vergelijking moet precies één = teken bevatten",
toomanyconditions: "Te veel beginvoorwaarden",
toofewconditions: "Te weinig beginvoorwaarden",
badleftside: "De linkerkant moet eruitzien als y'''...",
odeFirst: "Eerste differentiaalvergelijking",
odeSecond: "Tweede differentiaalvergelijking",
ode2First: "Eerste differentiaalvergelijking",
ode2Second: "Tweede differentiaalvergelijking",
parameterInterval: "Parameterinterval",
undoButtonRef: "Undo", // "Ongedaan Maken" is way too long
hintButtonRef: "Hint",
graphButtonRef: "Grafiek",
autoFinishButtonRef: "AutoKlaar",
autoStepButtonRef: "AutoStap",
showStepButtonRef: "ToonStap",
assumptionsButtonRef: "Aannames",
finishedButtonRef: "Klaar?",
linearEquationID1: "x+y = 12",
linearEquationID2: "x-y = 4",
linearEquationID3: "x+z = 9",
linearEquationID4: "u+y+z = 7",
linearEquationID5: "x+ 2y +4t = 20",
linearEquationID6: "x+ 3y+w = 25",
title_EnterLinearEquations: "Lineaire Vergelijkingen",
enterequations: "Lineaire vergelijkingen om op te lossen:",
enterequation: "Vergelijking om op te lossen:",
enteridentity: "Identiteit om te verifiëren:",
entersimplify: "Uitdrukking om te vereenvoudigen:",
enterfactor: "Uitdrukking om te factoriseren",
enterinequality: "Ongelijkheid:",
solveNowButton: "Reken uit",
select: "Selecteer een probleemtype",
simplify: "Vereenvoudigen",
factor: "Factoriseren",
solveEquation: "Los één vergelijking op",
solveLinearEquations: "Los lineaire vergelijkingen op", // met een selector voor de methode
substitution: "Substitutie",
rowandcolumn: "Rijbewerkingen",
matrices: "Matrixalgebra",
solveInequality: "Los een ongelijkheid op",
gaussJordan: "Gauss-Jordan",
matrixInverse: "Gebruik matrix-inversie",
cramer: "Regel van Cramer",
verifyIdentity: "Controleer een identiteit",
limits: "Bereken een limiet",
derivatives: "Differentieer",
integrals: "Integreer",
sums: "Eindige sommen",
infiniteseries: "Oneindige reeksen",
evaluateseries: "Bereken een oneindige reeks",
convergencetests: "Test een reeks op convergentie", // met een selector voor de methode
integraltest: "Integratietest",
comparisontest: "Vergelijkingstest",
rootratio: "Wortel- en verhoudingsproeven",
powerseries: "Machtsreeksen",
"tooltip-solveNowButton": "Open een MathXpert berekeningspagina",
"tooltip-solveEquationButton": "Open een MathXpert berekeningspagina",
"tooltip-selector2": "Uw selectie uit deze lijst bepaalt hoe AutoFinish en AutoStep uw probleem oplossen.",
"tooltip-complexSelector": "Vierkantswortels van negatieve getallen toestaan of verbieden",
selector2Label: "U kunt optioneel aan MathXpert aangeven hoe u de vergelijkingen wilt oplossen:",
alert1: "U moet ten minste twee vergelijkingen invoeren.",
alert2: "Een vergelijking moet een = teken bevatten.",
alert3: "Een vergelijking mag slechts één = teken bevatten.",
alert4: "De invoer moet de vorm hebben integral(f,x) of integral(f,x,a,b).",
alert5: "Het tweede argument moet een variabelenaam zijn.",
alert6: "Voer alstublieft een expressie in.",
alert7: "Voer alstublieft een vergelijking in.",
alert8: "Voer alstublieft een ongelijkheid in.",
alert9: "Voer alstublieft een interval in.",
integralID: "integral(sin x, x) of integral(sin x,x,0,1)",
enterintegral: "Integraal om te evalueren:",
enterimproperintegral: "Onjuiste integraal te evalueren:",
improperintegralID: "integral(1/x^2,x,0,infinity) of integral(1/ln x,x,0,1)",
alertlim: "De invoer moet de vorm hebben lim(x->a,f) of lim(x->a+,f) of lim(x->a-,f)",
limitID: "lim(x->0, sin(x)/x) of lim(x->0+, sin(x)/x)",
enterlimit: "Limiet om te evalueren:",
derivativeID: "y = sin x of f(x) = sin x of gewoon sin x",
enterderivative: "Uitdrukking om te differentiëren:",
enterderivativedefn: "Uitdrukking om te differentiëren,",
enterderivativedefn2: "Met behulp van de definitie van afgeleide:",
alertdif: "De invoer moet de vorm diff(y,x) hebben",
alertdif2: "In diff(y,x) moeten y en x geldige variabelnamen zijn.",
enterimplicitequation: "Vergelijking die de variabelen verbindt:",
enterimplicitderivative:"Afgeleide om te berekenen:",
enterratesequation: "Vergelijkingen die voor alle tijden gelden:",
enteronetime: "Vergelijking die voor één specifiek moment geldt:",
functionmaxmin: "Vind de maxima en minima van",
interval: "op het interval:",
maxminID1: "x^3 - x, of y = x^3 - x, of f(x) = x^3 - x",
alertseries: "De invoer moet de vorm sum(f,n,firstIndex,infinity) hebben.",
alertinfinity: "Het laatste argument moet \"infinity\" zijn.",
alertlower: "De ondergrens van de som moet een specifiek geheel getal zijn.",
enterseries: "Reeks om te evalueren",
seriesEval: "Evalueer de reeks",
comparisontest: "Vergelijkingstoets",
rootorratiotest: "Wortel- of verhoudingsproef",
integraltest: "Integraaltoets",
selector22Label: "Wat wil je doen?",
enterpowerseries: "Functie om uit te breiden in een machtreeks:",
powerseries: "Machtreeks",
real_roots: "Vind alleen reële oplossingen",
complex_roots: "Vind complexe oplossingen",
factor_quadratics: "Gebruik alleen reële getallen",
simple_factoring: "Alleen reële getallen gebruiken",
alg1_factor_quadratic: "Alleen reële getallen gebruiken",
factor_by_grouping: "Alleen reële getallen gebruiken",
advanced_factoring: "Sta factoren met complexe getallen toe",
done: "Klaar",
changes: "verandert",
by: "met",
cheerMessage: "Je hebt applaus verdiend. Klik op Afspelen om het te horen.",
playButton: "Afspelen",
cheerMessage2: "Je hebt meer dan de helft van de stappen zonder hulp uitgevoerd.",
selectTermHint: "Om zelf een stap te zetten, selecteer de uitdrukking die je wilt wijzigen.",
showMeButton: "Laat me zien hoe",
real_simplify: "Alleen reële getallen gebruiken",
complex_simplify: "Complexe getallen toestaan",
real_identities: "Alleen reële getallen gebruiken",
complex_identities: "Complexe getallen gebruiken",
topicReminder0: "Geselecteerde methode:",
topicReminder37: "Riemann-sommen",
topicReminder38: "Trapeziumregel",
topicReminder39: "Simpsonregel",
derivAdvice: "Als je de tweede afgeleide wilt, tik of beweeg hier.",
"tooltip-derivAdvice": "Voer een vergelijking in zoals y = sin x en bereken de afgeleide. \n Differentieer vervolgens de vergelijking opnieuw.",
shadowODE2InputID1: "x' = f(x,y) of x' =f(x,y,t)",
shadowODE2InputID2: "y' = g(x,y) of y' = g(x,y,t)",
subjectHeader: "Onderwerp",
topicHeader: "Thema",
problemNumberHeader: "Opgavenummer",
acceptButton: "Geselecteerd probleem accepteren",
editButton: "Geselecteerd probleem bewerken",
},
chinese: {
mathematical: "数学",
assistant: "助手",
make: "创建",
graph: "图表",
enter: "输入",
problem: "问题",
problem2: "问题",
library: "图书馆",
credit: "由Michael Beeson博士设计和实施",
draw3: "画",
draw: "画",
draw2: "画",
drag: "拖拽",
changeTypeSize: "字体大小",
normalSize: "正常",
largerSize: "更大",
smallerSize: "更小",
functiontograph: "绘制的函数",
functionstograph: "绘制的函数",
displayButton: "显示",
displayButton1: "显示",
displayButton2: "显示",
displayButton3: "显示",
displayButton4: "显示",
displayButton5: "显示",
displayButton6: "显示",
displayButton7: "显示",
displayButton8: "显示",
displayButton9: "显示",
displayButton10: "显示",
shadowID1: "例如 y = x^3-ax，或仅 x^3-ax",
shadowInequalityID: "x < y < sqrt x 或者 cos x <= y <= sin x",
assumptions: "假设",
singularities: "奇点",
jumps: "跳跃",
remarks: "备注",
enterfunctions: "比较以下图像：",
addFunctionLabel: "添加另一个函数",
addEquationLabel: "添加另一个方程",
addEquationLabel2: "添加另一个方程",
dataID3: "输入公式",
dataID4: "输入公式",
dataID5: "输入公式",
dataID6: "输入公式",
"tooltip-draw3": "绘制图形",
"tooltip-draw2": "绘制图表",
"tooltip-displayButton1": "以数学符号显示公式",
"tooltip-displayButton": "以数学符号显示方程式",
"tooltip-displayButton2": "以数学符号显示极限",
"tooltip-displayButton3": "以数学符号显示积分",
"tooltip-displayButton4": "以数学符号显示导数",
"tooltip-displayButton5": "以数学符号显示恒等式",
"tooltip-displayButton6": "以数学符号显示方程",
"tooltip-displayButton7": "以数学符号显示表达式",
"tooltip-displayButton8": "以数学符号显示不等式",
"tooltip-arrowButton": "将示例问题 \n 输入到左侧的输入框中",
"tooltip-displayButton9": "以数学符号显示函数",
"tooltip-displayButton10": "以数学符号显示级数",
title_EnterOrdinaryGraph: "输入一个普通图形",
title_EnterCompareSame: "比较图形",
title_EnterCompareDifferent: "比较图形",
title_EnterGraphPolar: "输入极坐标图",
title_EnterGraphComplexRoots: "输入多项式",
EnterGraphComplexRoots: "绘制此多项式的根:",
title_EnterGraphParametric: "输入参数方程图",
EnterGraphPolar:"输入极坐标图:",
EnterGraphParametric: "输入参数方程图:",
title_EnterGraphInequality: "输入不等式",
relationtograph: "输入带有 = 的关系",
inequalityrelationtograph: "输入不等式",
title_EnterGraphRelation: "绘制关系",
title_EnterGraphRelationInequality: "绘制关系不等式",
title_EnterGraphDeriv: "比较 f 和 f'",
comparederiv: "比较 f 和 f'",
title_EnterGraphDerivs: "比较 f, f' 和 f''",
comparederivs: "比较 f, f' 和 f''",
title_EnterODE: "输入微分方程",
title_EnterTwoODEs: "输入两个微分方程",
title_EnterHDE: "输入微分方程",
title_EnterRiemannSums: "输入黎曼和图形",
title_EnterTrapezoidRule: "输入梯形法则图形",
title_EnterSimpsonsRule: "输入辛普森法则图形",
titleSymbolicDoc: "MathXpert 符号计算器",
titleGraphDoc: "MathXpert 图形计算器",
title_GetProblemAsync: "MathXpert Problem Library",
functionRiemannSums: "需要积分的函数",
shadowRiemannSumsID: "例如 sin x",
from: "从",
to: "到",
shadowfrom: "0",
shadowto: "2π",
nintervals: "区间数",
riemannStyle: "矩形的样式",
shadownintervals: "2^(n+1)",
inequalitytograph: "需要绘制的不等式:",
shadowInequality: "例如 x < y < sqrt x",
shadowPolar: "例如 r = 2 cos θ",
shadowPolyrootsID: "例如 x^n-1",
shadowRelationID: "例如 (x/4)^2 + (y/3)^2 = 1",
shadowInequalityRelationID: "例如 y^2 <= sin^2 x",
shadowParametric: "例如 x= cos(nt), y = sin(mt)",
shadowCompareDerivID: "sin x 或者 f(x) = sin x 或者 y = sin x",
styleLeft: "左对齐",
styleRight: "右对齐",
styleCentered: "居中",
shadowODE: "y'=y 或 diff(y,x) = y sin x",
odetograph: "微分方程",
initialConditions: "初始条件",
shadowInitialConditions: "(3,2)",
shadowInitialConditionsHDE: "(0,1,2)",
alertParametric: "您必须输入两个公式和参数范围。",
alertPolar: "您必须输入公式和参数范围。",
alertCompareGraphs: "您必须输入两个或更多公式进行绘图。",
shadowParameterInterval: "0 <= t <= 2pi",
shadowHDE: "y''= y + y' 或 diff(y,x,2) = y + diff(y,x)",
oneequalsign: "您的方程必须包含一个等号",
toomanyconditions: "初始条件过多",
toofewconditions: "初始条件过少",
badleftside: "左侧必须像 y'''...",
odeFirst: "第一微分方程",
odeSecond: "第二微分方程",
ode2First: "第一微分方程",
ode2Second: "第二微分方程",
parameterInterval: "参数区间",
undoButtonRef: "撤销",
hintButtonRef: "提示",
graphButtonRef: "图表",
autoFinishButtonRef: "自动完成",
autoStepButtonRef: "自动步骤",
showStepButtonRef: "显示步骤",
assumptionsButtonRef: "假设",
finishedButtonRef: "完成？",
linearEquationID1: "x+y = 12",
linearEquationID2: "x-y = 4",
linearEquationID3: "x+z = 9",
linearEquationID4: "u+y+z = 7",
linearEquationID5: "x+ 2y +4t = 20",
linearEquationID6: "x+ 3y+w = 25",
title_EnterLinearEquations: "线性方程",
enterequations: "需要求解的线性方程：",
enterequation: "需要求解的方程:",
enteridentity: "需要验证的恒等式:",
entersimplify: "需要化简的表达式:",
enterfactor: "待分解的表达式",
enterinequality: "不等式:",
solveNowButton: "开始计算",
select: "选择问题类型",
simplify: "简化",
factor: "因式分解",
solveEquation: "解一个方程",
solveLinearEquations: "解线性方程", // 带有方法选择器
substitution: "代换法",
rowandcolumn: "行操作",
matrices: "矩阵代数",
solveInequality: "解不等式",
gaussJordan: "高斯-若尔当法",
matrixInverse: "使用矩阵逆",
cramer: "克莱姆法则",
verifyIdentity: "验证恒等式",
limits: "求极限",
derivatives: "求导",
integrals: "积分",
sums: "有限和",
infiniteseries: "无穷级数",
evaluateseries: "计算无穷级数",
convergencetests: "测试级数的收敛性", // 带有方法选择器
integraltest: "积分判别法",
comparisontest: "比较判别法",
rootratio: "根值和比值测试",
powerseries: "幂级数",
"tooltip-solveNowButton": "打开一个 MathXpert 计算页面",
"tooltip-solveEquationButton": "打开一个 MathXpert 计算页面",
"tooltip-selector2": "您从此列表中的选择决定了 AutoFinish 和 AutoStep 如何解决您的问题。",
"tooltip-complexSelector": "允许或禁止负数的平方根",
selector2Label: "您可以选择告诉 MathXpert 您想如何解这些方程：",
alert1: "您必须输入至少两个方程。",
alert2: "方程必须包含一个 = 符号。",
alert3: "方程只能包含一个 = 符号。",
alert4: "输入应该为 integral(f,x) 或 integral(f,x,a,b) 的形式。",
alert5: "第二个参数必须是变量名称。",
alert6: "请输入一个表达式。",
alert7: "请输入一个方程。",
alert8: "请输入一个不等式。",
alert9: "请输入一个区间。",
integralID: "integral(sin x, x) 或 integral(sin x,x,0,1)",
enterintegral: "要计算的积分:",
enterimproperintegral: "需要求值的瑕积分：",
improperintegralID: "integral(1/x^2,x,0,infinity) 或 integral(1/ln x,x,0,1)",
alertlim: "输入应具有形式 lim(x->a,f) 或 lim(x->a+,f) 或 lim(x->a-,f)",
limitID: "lim(x->0, sin(x)/x) 或 lim(x->0+, sin(x)/x)",
enterlimit: "要计算的极限：",
derivativeID: "y = sin x 或 f(x) = sin x 或 sin x",
enterderivative: "需要求导的表达式：",
enterderivativedefn: "要求导的表达式，",
enterderivativedefn2: "使用导数的定义：",
alertdif: "输入应具有 diff(y,x) 的形式",
alertdif2: "在 diff(y,x) 中，y 和 x 必须是有效的变量名。",
enterimplicitequation: "变量之间的方程：",
enterimplicitderivative:"要计算的导数：",
enterratesequation: "适用于所有时间的方程：",
enteronetime: "适用于特定时间的方程：",
functionmaxmin: "寻找...的极大值和极小值",
interval: "在区间：",
maxminID1: "x^3 - x，或 y = x^3 - x，或 f(x) = x^3 - x",
alertseries: "输入应具有 sum(f,n,firstIndex,infinity) 的形式。",
alertinfinity: "最后一个参数应为 \"infinity\"。",
alertlower: "求和的下限必须是一个特定的整数。",
enterseries: "要评估的级数",
seriesEval: "计算数列",
comparisontest: "比较测试",
rootorratiotest: "根值或比值测试",
integraltest: "积分测试",
selector22Label: "您想要做什么？",
enterpowerseries: "要展开为幂级数的函数：",
powerseries: "幂级数",
real_roots: "仅查找实数解",
complex_roots: "查找复数解",
factor_quadratics: "仅使用实数",
simple_factoring: "仅使用实数",
alg1_factor_quadratic: "仅使用实数",
factor_by_grouping: "仅使用实数",
advanced_factoring: "允许含复数的因式分解",
done: "完成",
changes: "更改",
by: "通过",
cheerMessage: "你赢得了掌声。点击播放来听。",
playButton: "播放",
cheerMessage2: "你在没有帮助的情况下完成了超过一半的步骤。",
selectTermHint: "要自己执行一步，请选择您想更改的表达式。",
showMeButton: "告诉我怎么做",
real_simplify: "仅使用实数",
complex_simplify: "允许复数",
real_identities: "仅使用实数",
complex_identities: "使用复数",
topicReminder0: "选定的方法:",
topicReminder37: "黎曼和",
topicReminder38: "梯形法则",
topicReminder39: "辛普森法则",
derivAdvice: "如果你想要二阶导数，请将鼠标悬停在这里。",
"tooltip-derivAdvice": "输入一个方程，例如 y = sin x 并计算导数。\n 然后再次对方程求导。",
shadowODE2InputID1: "x' = f(x,y) 或 x' =f(x,y,t)",
shadowODE2InputID2: "y' = g(x,y) 或 y' = g(x,y,t)",
subjectHeader: "科目",
topicHeader: "主题",
problemNumberHeader: "问题编号",
acceptButton: "接受选定的问题",
editButton: "编辑选定的问题",
}
};
function getLastTextElement(element){
// some of the buttons have images that are really UTF-8 text,
// and the text we want to translate is not that but the other,
// or last, text element.
const svgTextElements = element.querySelectorAll("text");
return svgTextElements[svgTextElements.length - 1];
}
function getPenultimateTextElement(element){
const svgTextElements = element.querySelectorAll("text");
const nTexts = svgTextElements.length;
if (nTexts < 2)
return null;
return svgTextElements[nTexts - 2];
}
function estimatedWidth(text) {
// Create a temporary canvas element
const canvas = document.createElement('canvas');
const context = canvas.getContext('2d');
// Set the font to match the text's intended style
context.font = '12px Arial'; // Replace with the desired font and size
// console.log("Measuring text:", text);
// console.log("Using font:", context.font);
// Measure the width of the text
const textWidth = context.measureText(text).width;
// Check for potential errors
if (!canvas || !context) {
console.error("Failed to create canvas or get context");
return 0;
}
// Return the width
return textWidth;
}
function updateTextContentOrValue(element, text) {
// Check if the element contains SVG text
if (element.classList.contains('svg-button')) {
// console.log(0,element,text);
const svgTextElement = getLastTextElement(element);
// Remove any previous transform
//svgTextElement.removeAttribute('transform');
// Estimate the length required for the translated text
textWidth = estimatedWidth(text); // assuming 12 point type
// console.log("Measured width:", textWidth);
// find the available width
const elementWidth = 62; // it's always this for the Symbolic Toolbar
// Apply compression transform if text is too wide
if (textWidth > elementWidth && element.id != "solveNowButton") { // don't compress translations of "Do the Math"
const compressionFactor = elementWidth / textWidth;
svgTextElement.setAttribute('transform', `scale(${compressionFactor},1) translate(1.5, 0) `);
// console.log("compressing to", compressionFactor);
}
if (svgTextElement) {
svgTextElement.textContent = text;
}
}
else if (element.tagName === "svg") { // but it's not a button
// Find the SVG <text> element or elements and update its (or their) content
// console.log(1,element,text);
if (text.includes("\n")) {
const firstText = getPenultimateTextElement(element);
const secondText = getLastTextElement(element);
const lines = text.split("\n");
if(firstText && secondText){
firstText.textContent = lines[0];
secondText.textContent = lines[1];
}
else if(secondText){
secondText.textContent = text; // the newline will not render
}
}
else{
const svgTextElement = getLastTextElement(element);
if (svgTextElement) {
svgTextElement.textContent = text;
}
}
}
else if (element.tagName.toLowerCase() === 'input') {
if (element.type === 'text' && 'placeholder' in element) {
// Set the translated text as a placeholder but do not clear existing value
element.placeholder = text;
}
if (element.type === 'submit') {
element.value = text;
}
// console.log(2,element,text);
}
else if (element.tagName.toLowerCase() === 'label') {
element.textContent = text;
}
else if (element.tagName.toLowerCase() === 'th') {
element.textContent = text;
}
else if (element.tagName.toLowerCase() === 'option') {
element.textContent = text;
// console.log(element);
}
else if (element.tagName.toLowerCase() === 'text') {
element.textContent = text; // Update the text content
// console.log(3, element, text);
}
else if (element.tagName.toLowerCase() === 'div') {
let textNodes = Array.from(element.childNodes).filter(node => node.nodeType === Node.TEXT_NODE);
if (textNodes.length > 0) {
textNodes[0].nodeValue = text; // Update only the first text node
// console.log("updating", text);
}
// console.log(4, element, text);
}
else if (element.tagName.toLowerCase() === 'button' && element.id == "showMeButton") {
let textNodes = Array.from(element.childNodes).filter(node => node.nodeType === Node.TEXT_NODE);
if (textNodes.length > 0) {
textNodes[1].nodeValue = text; // Update only the first text node
console.log("updating", text);
}
// console.log(5, element, text);
}
else if(element.tagName.toLowerCase() == 'button'){
element.textContent = text; // acceptButton and editButton for example
}
else if ('textContent' in element) {
// If the element has textContent (e.g., <p>, etc.)
element.textContent = text;
// console.log(5,element,text);
}
else if ('text' in element) {
// If the element is an <option> or similar
element.text = text;
// console.log(7, element, text);
}
else {
// console.log("updateTextContentOrValue failed on ", element);
}
}
// Function to get the current page name
function getCurrentPageName() {
const path = window.location.pathname;
const page = path.split("/").pop(); // Get the last part of the path
return page.split(".")[0]; // Remove the file extension (e.g., "EnterOrdinaryGraph" from "EnterOrdinaryGraph.php")
}
function setLanguage(lang) {
const languageData = translations[lang]; // || translations.english; // Fallback to English if the language is not found
// ("Selected language:", lang);
// console.log("translations object:", translations); // This should log the entire translations object
// console.log("Available languages:", Object.keys(translations));
// console.log("translations[lang]:", languageData); // Log the specific language data
// Get the current page name without the extension (e.g., "EnterOrdinaryGraph" from "EnterOrdinaryGraph.php")
const currentPage = getCurrentPageName();
// Construct the title ID based on the current page name
const titleId = `title_${currentPage}`;
console.log("titleId is ", titleId);
// Set the title if it exists in the translation data
if (languageData[titleId]) {
document.title = languageData[titleId];
}
// Loop through each key-value pair in the selected language's data for other elements
for (const [id, translation] of Object.entries(languageData)) {
if (!id.startsWith("title_")) {
const element = document.getElementById(id);
if (element) {
updateTextContentOrValue(element, translation);
}
}
}
}
Sindbad File Manager Version 1.0, Coded By Sindbad EG ~ The Terrorists