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 \operatorname{Lc}(z)}
... is translated to the CAS output ...
Semantic latex: \operatorname{Lc}(z)
Confidence: 0
Mathematica
Translation: Lc[z]
Information
Sub Equations
- Lc[z]
Free variables
- z
Symbol info
- Was interpreted as a function call because of a leading \operatorname.
Tests
Symbolic
Numeric
SymPy
Translation: Lc(z)
Information
Sub Equations
- Lc(z)
Free variables
- z
Symbol info
- Was interpreted as a function call because of a leading \operatorname.
Tests
Symbolic
Numeric
Maple
Translation: Lc(z)
Information
Sub Equations
- Lc(z)
Free variables
- z
Symbol info
- Was interpreted as a function call because of a leading \operatorname.
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Is part of
Description
- notation
- evaluation of the cotangent integral
- fact
- integral substitution
- integration by part
- logcotangent
- logtangent integral on the right-hand side
- order
- proof of this result
- term of the Clausen function
- definition with the result
- logtangent
- relation
Complete translation information:
{
"id" : "FORMULA_78103d41971e02001a6a1cf7a988a8ce",
"formula" : "\\operatorname{Lc}(z)",
"semanticFormula" : "\\operatorname{Lc}(z)",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "Lc[z]",
"translationInformation" : {
"subEquations" : [ "Lc[z]" ],
"freeVariables" : [ "z" ],
"tokenTranslations" : {
"Lc" : "Was interpreted as a function call because of a leading \\operatorname."
}
},
"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" : "Lc(z)",
"translationInformation" : {
"subEquations" : [ "Lc(z)" ],
"freeVariables" : [ "z" ],
"tokenTranslations" : {
"Lc" : "Was interpreted as a function call because of a leading \\operatorname."
}
},
"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" : "Lc(z)",
"translationInformation" : {
"subEquations" : [ "Lc(z)" ],
"freeVariables" : [ "z" ],
"tokenTranslations" : {
"Lc" : "Was interpreted as a function call because of a leading \\operatorname."
}
},
"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" : 46
} ],
"includes" : [ "z" ],
"isPartOf" : [ "\\begin{align}\\operatorname{Lc}(z) &= \\int_0^z\\pi x\\cot \\pi x\\,dx \\\\ &= z\\log(\\sin \\pi z)-\\int_0^z\\log(\\sin \\pi x)\\,dx \\\\ &= z\\log(\\sin \\pi z)-\\int_0^z\\Bigg[\\log(2\\sin \\pi x)-\\log 2\\Bigg]\\,dx \\\\ &= z\\log(2\\sin \\pi z)-\\int_0^z\\log(2\\sin \\pi x)\\,dx .\\end{align}", "\\operatorname{Lc}(z)=z\\log(2\\sin \\pi z)+\\frac{1}{2\\pi} \\operatorname{Cl}_2(2\\pi z)" ],
"definiens" : [ {
"definition" : "notation",
"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" : "order",
"score" : 0.6859086196238077
}, {
"definition" : "proof of this result",
"score" : 0.6859086196238077
}, {
"definition" : "term of the Clausen function",
"score" : 0.6859086196238077
}, {
"definition" : "definition with the result",
"score" : 0.4741699173880385
}, {
"definition" : "logtangent",
"score" : 0.4741699173880385
}, {
"definition" : "relation",
"score" : 0.4269127376286707
} ]
}