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 \zeta^\prime}
... is translated to the CAS output ...
Semantic latex: \zeta^\prime
Confidence: 0
Mathematica
Translation:
Information
Symbol info
- (LaTeX -> Mathematica) The input LaTeX is invalid: Primes can only be translated behind semantic macros (differentiation primes) but not in other places.
Tests
Symbolic
Numeric
SymPy
Translation:
Information
Symbol info
- (LaTeX -> SymPy) The input LaTeX is invalid: Primes can only be translated behind semantic macros (differentiation primes) but not in other places.
Tests
Symbolic
Numeric
Maple
Translation:
Information
Symbol info
- (LaTeX -> Maple) The input LaTeX is invalid: Primes can only be translated behind semantic macros (differentiation primes) but not in other places.
Tests
Symbolic
Numeric
Dependency Graph Information
Is part of
- Failed to parse (unknown function "\cdotn"): {\displaystyle K(n)= e^{-(n^2-1)\zeta^\prime(-1)} \cdotn^{\frac{5}{12}}\cdot(2\pi)^{(n-1)/2}\,=\,(Ae^{-\frac{1}{12}})^{n^2-1}\cdot n^{\frac{5}{12}}\cdot (2\pi)^{(n-1)/2}}
Description
- derivative of the Riemann zeta function
- Glaisher -- Kinkelin
- multiplication formula
- g-function
- gamma function
Complete translation information:
{
"id" : "FORMULA_d3346f63e16ce81ec28e39ed4444292f",
"formula" : "\\zeta^\\prime",
"semanticFormula" : "\\zeta^\\prime",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "",
"translationInformation" : {
"tokenTranslations" : {
"Error" : "(LaTeX -> Mathematica) The input LaTeX is invalid: Primes can only be translated behind semantic macros (differentiation primes) but not in other places."
}
},
"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) The input LaTeX is invalid: Primes can only be translated behind semantic macros (differentiation primes) but not in other places."
}
},
"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) The input LaTeX is invalid: Primes can only be translated behind semantic macros (differentiation primes) but not in other places."
}
},
"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" : 1,
"word" : 1
} ],
"includes" : [ ],
"isPartOf" : [ "K(n)= e^{-(n^2-1)\\zeta^\\prime(-1)} \\cdotn^{\\frac{5}{12}}\\cdot(2\\pi)^{(n-1)/2}\\,=\\,(Ae^{-\\frac{1}{12}})^{n^2-1}\\cdot n^{\\frac{5}{12}}\\cdot (2\\pi)^{(n-1)/2}" ],
"definiens" : [ {
"definition" : "derivative of the Riemann zeta function",
"score" : 0.722
}, {
"definition" : "Glaisher -- Kinkelin",
"score" : 0.6859086196238077
}, {
"definition" : "multiplication formula",
"score" : 0.573332519662682
}, {
"definition" : "g-function",
"score" : 0.4794224457106988
}, {
"definition" : "gamma function",
"score" : 0.4794224457106988
} ]
}