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 S_\nu}
... is translated to the CAS output ...
Semantic latex: S_\nu
Confidence: 0
Mathematica
Translation: Subscript[S, \[Nu]]
Information
Sub Equations
- Subscript[S, \[Nu]]
Free variables
- Subscript[S, \[Nu]]
- \[Nu]
Tests
Symbolic
Numeric
SymPy
Translation: Symbol('{S}_{Symbol('nu')}')
Information
Sub Equations
- Symbol('{S}_{Symbol('nu')}')
Free variables
- Symbol('nu')
- Symbol('{S}_{Symbol('nu')}')
Tests
Symbolic
Numeric
Maple
Translation: S[nu]
Information
Sub Equations
- S[nu]
Free variables
- S[nu]
- nu
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Is part of
Description
- function
- Legendre chi function
- Fourier series
- Euler polynomial
Complete translation information:
{
"id" : "FORMULA_28858a6b49b224e96d8d6ddc645236da",
"formula" : "S_\\nu",
"semanticFormula" : "S_\\nu",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "Subscript[S, \\[Nu]]",
"translationInformation" : {
"subEquations" : [ "Subscript[S, \\[Nu]]" ],
"freeVariables" : [ "Subscript[S, \\[Nu]]", "\\[Nu]" ]
},
"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" : "Symbol('{S}_{Symbol('nu')}')",
"translationInformation" : {
"subEquations" : [ "Symbol('{S}_{Symbol('nu')}')" ],
"freeVariables" : [ "Symbol('nu')", "Symbol('{S}_{Symbol('nu')}')" ]
},
"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" : "S[nu]",
"translationInformation" : {
"subEquations" : [ "S[nu]" ],
"freeVariables" : [ "S[nu]", "nu" ]
},
"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" : 14,
"sentence" : 6,
"word" : 5
} ],
"includes" : [ "C_\\nu", "\\chi_\\nu" ],
"isPartOf" : [ "C_\\nu(x) = \\sum_{k=0}^\\infty\\frac {\\cos((2k+1)\\pi x)} {(2k+1)^\\nu}", "S_{2n+1}(x) = \\frac{(-1)^n}{4(2n)!}\\pi^{2n+1} E_{2n} (x)", "S_\\nu(x) = \\sum_{k=0}^\\infty\\frac {\\sin((2k+1)\\pi x)} {(2k+1)^\\nu}", "C_\\nu", "C_\\nu(x) = -C_\\nu(1-x)", "S_\\nu(x) = S_\\nu(1-x)", "\\chi_\\nu", "C_\\nu(x) = \\operatorname{Re} \\chi_\\nu (e^{ix})", "S_\\nu(x) = \\operatorname{Im} \\chi_\\nu (e^{ix})" ],
"definiens" : [ {
"definition" : "function",
"score" : 0.6965150201292494
}, {
"definition" : "Legendre chi function",
"score" : 0.6965150201292494
}, {
"definition" : "Fourier series",
"score" : 0.6871135306205209
}, {
"definition" : "Euler polynomial",
"score" : 0.6205896994220499
} ]
}