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 \frac{16}{\lambda(2\tau)} - 8}
... is translated to the CAS output ...
Semantic latex: \frac{16}{\modularlambdatau@{2 \tau}} - 8
Confidence: 0.6805
Mathematica
Translation: Divide[16,ModularLambda[2*\[Tau]]]- 8
Information
Sub Equations
- Divide[16,ModularLambda[2*\[Tau]]]- 8
Free variables
- \[Tau]
Symbol info
- Elliptic modular function; Example: \modularlambdatau@{\tau}
Will be translated to: ModularLambda[$0] Relevant links to definitions: DLMF: http://dlmf.nist.gov/23.15#E6 Mathematica: https://reference.wolfram.com/language/ref/ModularLambda.html
Tests
Symbolic
Numeric
SymPy
Translation:
Information
Symbol info
- (LaTeX -> SymPy) No translation possible for given token: Cannot extract information from feature set: \modularlambdatau [\modularlambdatau]
Tests
Symbolic
Numeric
Maple
Translation:
Information
Symbol info
- (LaTeX -> Maple) No translation possible for given token: Cannot extract information from feature set: \modularlambdatau [\modularlambdatau]
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Description
- function
- Hauptmodul for the group
- graded character of any element
- expansion
- conjugacy class 4c of the monster group
- monster vertex algebra
Complete translation information:
{
"id" : "FORMULA_6468917a235bfcd86b674f9e1a464b43",
"formula" : "\\frac{16}{\\lambda(2\\tau)} - 8",
"semanticFormula" : "\\frac{16}{\\modularlambdatau@{2 \\tau}} - 8",
"confidence" : 0.6805,
"translations" : {
"Mathematica" : {
"translation" : "Divide[16,ModularLambda[2*\\[Tau]]]- 8",
"translationInformation" : {
"subEquations" : [ "Divide[16,ModularLambda[2*\\[Tau]]]- 8" ],
"freeVariables" : [ "\\[Tau]" ],
"tokenTranslations" : {
"\\modularlambdatau" : "Elliptic modular function; Example: \\modularlambdatau@{\\tau}\nWill be translated to: ModularLambda[$0]\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/23.15#E6\nMathematica: https://reference.wolfram.com/language/ref/ModularLambda.html"
}
},
"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" : "",
"translationInformation" : {
"tokenTranslations" : {
"Error" : "(LaTeX -> SymPy) No translation possible for given token: Cannot extract information from feature set: \\modularlambdatau [\\modularlambdatau]"
}
},
"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" : "",
"translationInformation" : {
"tokenTranslations" : {
"Error" : "(LaTeX -> Maple) No translation possible for given token: Cannot extract information from feature set: \\modularlambdatau [\\modularlambdatau]"
}
},
"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" : 4,
"sentence" : 0,
"word" : 2
} ],
"includes" : [ "\\tau", "\\lambda", "\\lambda(\\tau)" ],
"isPartOf" : [ ],
"definiens" : [ {
"definition" : "function",
"score" : 0.722
}, {
"definition" : "Hauptmodul for the group",
"score" : 0.7125985104912714
}, {
"definition" : "graded character of any element",
"score" : 0.6859086196238077
}, {
"definition" : "expansion",
"score" : 0.6460746792928004
}, {
"definition" : "conjugacy class 4c of the monster group",
"score" : 0.5988174995334326
}, {
"definition" : "monster vertex algebra",
"score" : 0.46655930748162855
} ]
}