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 \Phi_0(z) = 1}
... is translated to the CAS output ...
Semantic latex: \Phi_0(z) = 1
Confidence: 0
Mathematica
Translation: Subscript[\[CapitalPhi], 0][z] == 1
Information
Sub Equations
- Subscript[\[CapitalPhi], 0][z] = 1
Free variables
- Subscript[\[CapitalPhi], 0]
- z
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
SymPy
Translation: Symbol('{Symbol('Phi')}_{0}')(z) == 1
Information
Sub Equations
- Symbol('{Symbol('Phi')}_{0}')(z) = 1
Free variables
- Symbol('{Symbol('Phi')}_{0}')
- z
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
Maple
Translation: Phi[0](z) = 1
Information
Sub Equations
- Phi[0](z) = 1
Free variables
- Phi[0]
- z
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Description
- polynomial
- coefficient
- complex number with absolute value
- Szegő 's recurrence
- Verblunsky coefficient
Complete translation information:
{
"id" : "FORMULA_2601f97f3f5b7b7ec4a6ff21615ccce9",
"formula" : "\\Phi_0(z) = 1",
"semanticFormula" : "\\Phi_0(z) = 1",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "Subscript[\\[CapitalPhi], 0][z] == 1",
"translationInformation" : {
"subEquations" : [ "Subscript[\\[CapitalPhi], 0][z] = 1" ],
"freeVariables" : [ "Subscript[\\[CapitalPhi], 0]", "z" ],
"tokenTranslations" : {
"\\Phi" : "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('{Symbol('Phi')}_{0}')(z) == 1",
"translationInformation" : {
"subEquations" : [ "Symbol('{Symbol('Phi')}_{0}')(z) = 1" ],
"freeVariables" : [ "Symbol('{Symbol('Phi')}_{0}')", "z" ],
"tokenTranslations" : {
"\\Phi" : "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" : "Phi[0](z) = 1",
"translationInformation" : {
"subEquations" : [ "Phi[0](z) = 1" ],
"freeVariables" : [ "Phi[0]", "z" ],
"tokenTranslations" : {
"\\Phi" : "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" : 2,
"sentence" : 0,
"word" : 5
} ],
"includes" : [ "\\Phi_n(z)" ],
"isPartOf" : [ ],
"definiens" : [ {
"definition" : "polynomial",
"score" : 0.7125985104912714
}, {
"definition" : "coefficient",
"score" : 0.6859086196238077
}, {
"definition" : "complex number with absolute value",
"score" : 0.6859086196238077
}, {
"definition" : "Szegő 's recurrence",
"score" : 0.5988174995334326
}, {
"definition" : "Verblunsky coefficient",
"score" : 0.5500952380952381
} ]
}