LaTeX to CAS translator
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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 wd\theta / 2\pi}
... is translated to the CAS output ...
Semantic latex: wd \theta / 2 \cpi
Confidence: 0
Mathematica
Translation: w*d*\[Theta]/2*Pi
Information
Sub Equations
- w*d*\[Theta]/2*Pi
Free variables
- \[Theta]
- d
- w
Symbol info
- Pi was translated to: Pi
Tests
Symbolic
Numeric
SymPy
Translation: w*d*Symbol('theta')/2*pi
Information
Sub Equations
- w*d*Symbol('theta')/2*pi
Free variables
- Symbol('theta')
- d
- w
Symbol info
- Pi was translated to: pi
Tests
Symbolic
Numeric
Maple
Translation: w*d*theta/2*Pi
Information
Sub Equations
- w*d*theta/2*Pi
Free variables
- d
- theta
- w
Symbol info
- Pi was translated to: Pi
Tests
Symbolic
Numeric
Dependency Graph Information
Is part of
Description
- continuous part of the measure
- Szegő 's theorem
Complete translation information:
{
"id" : "FORMULA_9a1e49c2eba8a370317d5107c7cd6106",
"formula" : "wd\\theta / 2\\pi",
"semanticFormula" : "wd \\theta / 2 \\cpi",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "w*d*\\[Theta]/2*Pi",
"translationInformation" : {
"subEquations" : [ "w*d*\\[Theta]/2*Pi" ],
"freeVariables" : [ "\\[Theta]", "d", "w" ],
"tokenTranslations" : {
"\\cpi" : "Pi was translated to: Pi"
}
},
"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" : "w*d*Symbol('theta')/2*pi",
"translationInformation" : {
"subEquations" : [ "w*d*Symbol('theta')/2*pi" ],
"freeVariables" : [ "Symbol('theta')", "d", "w" ],
"tokenTranslations" : {
"\\cpi" : "Pi was translated to: pi"
}
},
"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" : "w*d*theta/2*Pi",
"translationInformation" : {
"subEquations" : [ "w*d*theta/2*Pi" ],
"freeVariables" : [ "d", "theta", "w" ],
"tokenTranslations" : {
"\\cpi" : "Pi was translated to: Pi"
}
},
"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" : [ {
"section" : 6,
"sentence" : 0,
"word" : 7
} ],
"includes" : [ ],
"isPartOf" : [ "\\prod_{n = 1}^\\infty(1-|\\alpha_n|^2) = \\exp\\big(\\int_0^{2\\pi}\\log(w(\\theta))d\\theta/2\\pi\\big)" ],
"definiens" : [ {
"definition" : "continuous part of the measure",
"score" : 0.7125985104912714
}, {
"definition" : "Szegő 's theorem",
"score" : 0.5988174995334326
} ]
}