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 2\pi \log\left( \frac{G(1-z)}{G(1+z)} \right)= 2\pi z\log\left(\frac{\sin\pi z}{\pi} \right) + \operatorname{Cl}_2(2\pi z)}
... is translated to the CAS output ...
Semantic latex: 2 \cpi \log(\frac{\BarnesG@{1 - z}}{\BarnesG@{1 + z}}) = 2 \cpi z \log(\frac{\sin \cpi z}{\cpi}) + \operatorname{Cl}_2(2 \cpi z)
Confidence: 0.72606363917343
Mathematica
Translation:
Information
Symbol info
- (LaTeX -> Mathematica) The input LaTeX is invalid: The element Cl cannot be tagged as a function [Cl]
Tests
Symbolic
Numeric
SymPy
Translation:
Information
Symbol info
- (LaTeX -> SymPy) No translation possible for given token: Cannot extract information from feature set: \BarnesG [\BarnesG]
Tests
Symbolic
Numeric
Maple
Translation:
Information
Symbol info
- (LaTeX -> Maple) No translation possible for given token: Cannot extract information from feature set: \BarnesG [\BarnesG]
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Is part of
Description
- proof of this result
- evaluation of the cotangent integral
- fact
- integral substitution
- integration by part
- logcotangent
- logtangent integral on the right-hand side
- notation
- order
- term of the Clausen function
- different proof
- Adamchik
- equivalent form
- equivalent form of the reflection formula
- proof
- ref
- reflection formula by a factor
- relation
- slight rearrangement of term
Complete translation information:
{
"id" : "FORMULA_4cde3a0a6426c3aec591765eaaadc8ee",
"formula" : "2\\pi \\log\\left( \\frac{G(1-z)}{G(1+z)} \\right)= 2\\pi z\\log\\left(\\frac{\\sin\\pi z}{\\pi} \\right) + \\operatorname{Cl}_2(2\\pi z)",
"semanticFormula" : "2 \\cpi \\log(\\frac{\\BarnesG@{1 - z}}{\\BarnesG@{1 + z}}) = 2 \\cpi z \\log(\\frac{\\sin \\cpi z}{\\cpi}) + \\operatorname{Cl}_2(2 \\cpi z)",
"confidence" : 0.7260636391734279,
"translations" : {
"Mathematica" : {
"translation" : "",
"translationInformation" : {
"tokenTranslations" : {
"Error" : "(LaTeX -> Mathematica) The input LaTeX is invalid: The element Cl cannot be tagged as a function [Cl]"
}
},
"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: \\BarnesG [\\BarnesG]"
}
},
"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) No translation possible for given token: Cannot extract information from feature set: \\BarnesG [\\BarnesG]"
}
},
"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" : 3,
"sentence" : 1,
"word" : 27
} ],
"includes" : [ "G", "z", "\\, 2\\pi" ],
"isPartOf" : [ "2\\pi \\log\\left( \\frac{G(1-z)}{G(1+z)} \\right)= 2\\pi z\\log\\left(\\frac{\\sin\\pi z}{\\pi} \\right)+\\operatorname{Cl}_2(2\\pi z)\\, . \\, \\Box" ],
"definiens" : [ {
"definition" : "proof of this result",
"score" : 0.722
}, {
"definition" : "evaluation of the cotangent integral",
"score" : 0.6859086196238077
}, {
"definition" : "fact",
"score" : 0.6859086196238077
}, {
"definition" : "integral substitution",
"score" : 0.6859086196238077
}, {
"definition" : "integration by part",
"score" : 0.6859086196238077
}, {
"definition" : "logcotangent",
"score" : 0.6859086196238077
}, {
"definition" : "logtangent integral on the right-hand side",
"score" : 0.6859086196238077
}, {
"definition" : "notation",
"score" : 0.6859086196238077
}, {
"definition" : "order",
"score" : 0.6859086196238077
}, {
"definition" : "term of the Clausen function",
"score" : 0.6859086196238077
}, {
"definition" : "different proof",
"score" : 0.4690549350834092
}, {
"definition" : "Adamchik",
"score" : 0.44236504421594536
}, {
"definition" : "equivalent form",
"score" : 0.44236504421594536
}, {
"definition" : "equivalent form of the reflection formula",
"score" : 0.44236504421594536
}, {
"definition" : "proof",
"score" : 0.44236504421594536
}, {
"definition" : "ref",
"score" : 0.44236504421594536
}, {
"definition" : "reflection formula by a factor",
"score" : 0.44236504421594536
}, {
"definition" : "relation",
"score" : 0.44236504421594536
}, {
"definition" : "slight rearrangement of term",
"score" : 0.44236504421594536
} ]
}