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 \operatorname{Li}_s(z)}
... is translated to the CAS output ...
Semantic latex: \polylog{s}@{z}
Confidence: 0.93338379873252
Mathematica
Translation: PolyLog[s, z]
Information
Sub Equations
- PolyLog[s, z]
Free variables
- s
- z
Symbol info
- Polylogarithm; Example: \polylog{s}@{z}
Will be translated to: PolyLog[$0, $1] Relevant links to definitions: DLMF: http://dlmf.nist.gov/25.12#E10 Mathematica: https://reference.wolfram.com/language/ref/PolyLog.html
Tests
Symbolic
Numeric
SymPy
Translation:
Information
Symbol info
- (LaTeX -> SymPy) No translation possible for given token: Cannot extract information from feature set: \polylog [\polylog]
Tests
Symbolic
Numeric
Maple
Translation: polylog(s, z)
Information
Sub Equations
- polylog(s, z)
Free variables
- s
- z
Symbol info
- Polylogarithm; Example: \polylog{s}@{z}
Will be translated to: polylog($0, $1) Relevant links to definitions: DLMF: http://dlmf.nist.gov/25.12#E10 Maple: https://www.maplesoft.com/support/help/maple/view.aspx?path=polylog
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Is part of
Description
- series
- polylogarithm
- special case
- special case of the Lerch Zeta
Complete translation information:
{
"id" : "FORMULA_1574f057e5a4de3b7b53627317967b49",
"formula" : "\\operatorname{Li}_s(z)",
"semanticFormula" : "\\polylog{s}@{z}",
"confidence" : 0.9333837987325216,
"translations" : {
"Mathematica" : {
"translation" : "PolyLog[s, z]",
"translationInformation" : {
"subEquations" : [ "PolyLog[s, z]" ],
"freeVariables" : [ "s", "z" ],
"tokenTranslations" : {
"\\polylog" : "Polylogarithm; Example: \\polylog{s}@{z}\nWill be translated to: PolyLog[$0, $1]\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/25.12#E10\nMathematica: https://reference.wolfram.com/language/ref/PolyLog.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: \\polylog [\\polylog]"
}
},
"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" : "polylog(s, z)",
"translationInformation" : {
"subEquations" : [ "polylog(s, z)" ],
"freeVariables" : [ "s", "z" ],
"tokenTranslations" : {
"\\polylog" : "Polylogarithm; Example: \\polylog{s}@{z}\nWill be translated to: polylog($0, $1)\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/25.12#E10\nMaple: https://www.maplesoft.com/support/help/maple/view.aspx?path=polylog"
}
},
"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" : 5,
"sentence" : 7,
"word" : 19
} ],
"includes" : [ "z", "s", "\\mathrm{Li}_n(z)" ],
"isPartOf" : [ "\\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)", "\\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", "\\Phi(z,s,a) - \\frac{\\mathrm{Li}_{s}(z)}{z^{a}}=\\sum_{n=0}^{N-1}C_{n}(z,a) \\frac{(s)_{n}}{a^{n+s}}+O\\left( (\\Re a)^{1-N-s}+a z^{-\\Re a} \\right)" ],
"definiens" : [ {
"definition" : "series",
"score" : 0.8786935335285544
}, {
"definition" : "polylogarithm",
"score" : 0.8001513961975653
}, {
"definition" : "special case",
"score" : 0.6687181434333315
}, {
"definition" : "special case of the Lerch Zeta",
"score" : 0.35159851143248233
} ]
}