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 SL_2(\mathbb{Z})}
... is translated to the CAS output ...
Semantic latex: SL_2(\mathbb{Z})
Confidence: 0
Mathematica
Translation: Subscript[SL, 2][Z]
Information
Sub Equations
- Subscript[SL, 2][Z]
Free variables
- Z
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
SymPy
Translation: Symbol('{SL}_{2}')(Z)
Information
Sub Equations
- Symbol('{SL}_{2}')(Z)
Free variables
- Z
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
Maple
Translation: SL[2](Z)
Information
Sub Equations
- SL[2](Z)
Free variables
- Z
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
Dependency Graph Information
Description
- full modular group
- function on the upper half-plane
- fact Klein 's modular j-invariant
- lambda function under the canonical action
- symmetric group
Complete translation information:
{
"id" : "FORMULA_c8a5c475ac3118e6f6f9239d51c55eec",
"formula" : "SL_2(\\mathbb{Z})",
"semanticFormula" : "SL_2(\\mathbb{Z})",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "Subscript[SL, 2][Z]",
"translationInformation" : {
"subEquations" : [ "Subscript[SL, 2][Z]" ],
"freeVariables" : [ "Z" ],
"tokenTranslations" : {
"SL" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary)."
}
},
"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('{SL}_{2}')(Z)",
"translationInformation" : {
"subEquations" : [ "Symbol('{SL}_{2}')(Z)" ],
"freeVariables" : [ "Z" ],
"tokenTranslations" : {
"SL" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary)."
}
},
"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" : "SL[2](Z)",
"translationInformation" : {
"subEquations" : [ "SL[2](Z)" ],
"freeVariables" : [ "Z" ],
"tokenTranslations" : {
"SL" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary)."
}
},
"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" : 0,
"sentence" : 4,
"word" : 38
} ],
"includes" : [ ],
"isPartOf" : [ ],
"definiens" : [ {
"definition" : "full modular group",
"score" : 0.722
}, {
"definition" : "function on the upper half-plane",
"score" : 0.6460746792928004
}, {
"definition" : "fact Klein 's modular j-invariant",
"score" : 0.5049074255814494
}, {
"definition" : "lambda function under the canonical action",
"score" : 0.5049074255814494
}, {
"definition" : "symmetric group",
"score" : 0.46655930748162855
} ]
}