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 \mathrm{Li}_n(z)}
... is translated to the CAS output ...
Semantic latex: L \iunit_n(z)
Confidence: 0
Mathematica
Translation: L*Subscript[I, n]*(z)
Information
Sub Equations
- L*Subscript[I, n]*(z)
Free variables
- L
- n
- z
Symbol info
- Imaginary unit was translated to: I
Tests
Symbolic
Numeric
SymPy
Translation: L*Symbol('{I}_{n}')*(z)
Information
Sub Equations
- L*Symbol('{I}_{n}')*(z)
Free variables
- L
- n
- z
Symbol info
- Imaginary unit was translated to: I
Tests
Symbolic
Numeric
Maple
Translation: L*I[n]*(z)
Information
Sub Equations
- L*I[n]*(z)
Free variables
- L
- n
- z
Symbol info
- Imaginary unit was translated to: I
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Is part of
Description
- polylogarithm function
- series
- polylogarithm
- special case
- special case of the Lerch Zeta
- Legendre chi function
Complete translation information:
{
"id" : "FORMULA_9bd403fdc642d3f5e2894709f78b2743",
"formula" : "\\mathrm{Li}_n(z)",
"semanticFormula" : "L \\iunit_n(z)",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "L*Subscript[I, n]*(z)",
"translationInformation" : {
"subEquations" : [ "L*Subscript[I, n]*(z)" ],
"freeVariables" : [ "L", "n", "z" ],
"tokenTranslations" : {
"\\iunit" : "Imaginary unit was translated to: I"
}
},
"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" : "L*Symbol('{I}_{n}')*(z)",
"translationInformation" : {
"subEquations" : [ "L*Symbol('{I}_{n}')*(z)" ],
"freeVariables" : [ "L", "n", "z" ],
"tokenTranslations" : {
"\\iunit" : "Imaginary unit was translated to: I"
}
},
"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" : "L*I[n]*(z)",
"translationInformation" : {
"subEquations" : [ "L*I[n]*(z)" ],
"freeVariables" : [ "L", "n", "z" ],
"tokenTranslations" : {
"\\iunit" : "Imaginary unit was translated to: I"
}
},
"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" : 3
} ],
"includes" : [ "z" ],
"isPartOf" : [ "\\,\\chi_n(z)=2^{-n}z \\Phi (z^2,n,1/2)", "\\Phi(z,s,a)=\\frac{1}{a^s}+\\sum_{m=0}^\\infty (1-m-s)_m \\operatorname{Li}_{s+m}(z)\\frac{a^m}{m!}; |a|<1", "\\,\\textrm{Li}_s(z)=z\\Phi(z,s,1)", "\\operatorname{Li}_s(z)", "\\Phi(z,s,a)=\\sum_{k=0}^n \\frac{z^k}{(a+k)^s}+z^n\\sum_{m=0}^\\infty (1-m-s)_{m}\\operatorname{Li}_{s+m}(z)\\frac{(a+n)^m}{m!};\\ a\\rightarrow-n" ],
"definiens" : [ {
"definition" : "polylogarithm function",
"score" : 0.722
}, {
"definition" : "series",
"score" : 0.5795132416441358
}, {
"definition" : "polylogarithm",
"score" : 0.5472063310660241
}, {
"definition" : "special case",
"score" : 0.5266136566361475
}, {
"definition" : "special case of the Lerch Zeta",
"score" : 0.351598510491561
}, {
"definition" : "Legendre chi function",
"score" : 0.32490861962881074
} ]
}