LaTeX to CAS translator
This mockup demonstrates the concept of TeX to Computer Algebra System (CAS) conversion.
The demo-application converts LaTeX functions which directly translate to CAS counterparts.
Functions without explicit CAS support are available for translation via a DRMF package (under development).
The following LaTeX input ...
{\displaystyle D_+(x) = e^{-x^2} \int_0^x e^{t^2}\,dt,}
... is translated to the CAS output ...
Semantic latex: D_+(x) = \expe^{-x^2} \int_0^x \expe^{t^2} \diff{t}
Confidence: 0
Mathematica
Translation: Subscript[D, +][x] == Exp[- (x)^(2)]*Integrate[Exp[(t)^(2)], {t, 0, x}, GenerateConditions->None]
Information
Sub Equations
- Subscript[D, +][x] = Exp[- (x)^(2)]*Integrate[Exp[(t)^(2)], {t, 0, x}, GenerateConditions->None]
Free variables
- x
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
- Recognizes e with power as the exponential function. It was translated as a function.
Tests
Symbolic
Numeric
SymPy
Translation: Symbol('{D}_{+}')(x) == exp(- (x)**(2))*integrate(exp((t)**(2)), (t, 0, x))
Information
Sub Equations
- Symbol('{D}_{+}')(x) = exp(- (x)**(2))*integrate(exp((t)**(2)), (t, 0, x))
Free variables
- x
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
- Recognizes e with power as the exponential function. It was translated as a function.
Tests
Symbolic
Numeric
Maple
Translation: D[+](x) = exp(- (x)^(2))*int(exp((t)^(2)), t = 0..x)
Information
Sub Equations
- D[+](x) = exp(- (x)^(2))*int(exp((t)^(2)), t = 0..x)
Free variables
- x
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
- Recognizes e with power as the exponential function. It was translated as a function.
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Is part of
Complete translation information:
{
"id" : "FORMULA_4a6931ec523cb8f005f434150c8950fd",
"formula" : "D_+(x) = e^{-x^2} \\int_0^x e^{t^2}dt",
"semanticFormula" : "D_+(x) = \\expe^{-x^2} \\int_0^x \\expe^{t^2} \\diff{t}",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "Subscript[D, +][x] == Exp[- (x)^(2)]*Integrate[Exp[(t)^(2)], {t, 0, x}, GenerateConditions->None]",
"translationInformation" : {
"subEquations" : [ "Subscript[D, +][x] = Exp[- (x)^(2)]*Integrate[Exp[(t)^(2)], {t, 0, x}, GenerateConditions->None]" ],
"freeVariables" : [ "x" ],
"tokenTranslations" : {
"D" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary).",
"\\expe" : "Recognizes e with power as the exponential function. It was translated as a function."
}
},
"numericResults" : {
"overallResult" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"wasAborted" : false,
"crashed" : false,
"testCalculationsGroups" : [ ]
},
"symbolicResults" : {
"overallResult" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"crashed" : false,
"testCalculationsGroup" : [ ]
}
},
"SymPy" : {
"translation" : "Symbol('{D}_{+}')(x) == exp(- (x)**(2))*integrate(exp((t)**(2)), (t, 0, x))",
"translationInformation" : {
"subEquations" : [ "Symbol('{D}_{+}')(x) = exp(- (x)**(2))*integrate(exp((t)**(2)), (t, 0, x))" ],
"freeVariables" : [ "x" ],
"tokenTranslations" : {
"D" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary).",
"\\expe" : "Recognizes e with power as the exponential function. It was translated as a function."
}
},
"numericResults" : {
"overallResult" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"wasAborted" : false,
"crashed" : false,
"testCalculationsGroups" : [ ]
},
"symbolicResults" : {
"overallResult" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"crashed" : false,
"testCalculationsGroup" : [ ]
}
},
"Maple" : {
"translation" : "D[+](x) = exp(- (x)^(2))*int(exp((t)^(2)), t = 0..x)",
"translationInformation" : {
"subEquations" : [ "D[+](x) = exp(- (x)^(2))*int(exp((t)^(2)), t = 0..x)" ],
"freeVariables" : [ "x" ],
"tokenTranslations" : {
"D" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary).",
"\\expe" : "Recognizes e with power as the exponential function. It was translated as a function."
}
},
"numericResults" : {
"overallResult" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"wasAborted" : false,
"crashed" : false,
"testCalculationsGroups" : [ ]
},
"symbolicResults" : {
"overallResult" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"crashed" : false,
"testCalculationsGroup" : [ ]
}
}
},
"positions" : [ ],
"includes" : [ "D_+(x) = e^{-x^2} \\int_0^x e^{t^2}\\,dt", "x" ],
"isPartOf" : [ "D_+(x) = e^{-x^2} \\int_0^x e^{t^2}\\,dt" ],
"definiens" : [ ]
}