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 F(x) = \sum_{k=0}^\infty \frac{(-1)^k \, 2^k}{(2k+1)!!} \, x^{2k+1} = x - \frac{2}{3} x^3 + \frac{4}{15} x^5 - \cdots,}
... is translated to the CAS output ...
Semantic latex: F(x) = \sum_{k=0}^\infty \frac{(-1)^k 2^k}{(2k+1)!!} x^{2k+1} = x - \frac{2}{3} x^3 + \frac{4}{15} x^5 - \cdots,
Confidence: 0
Mathematica
Translation: F[x] == Sum[Divide[(- 1)^(k)* (2)^(k),(2*k + 1)!!]*(x)^(2*k + 1), {k, 0, Infinity}, GenerateConditions->None] == x -Divide[2,3]*(x)^(3)+Divide[4,15]*(x)^(5)- \[Ellipsis]
Information
Sub Equations
- F[x] = Sum[Divide[(- 1)^(k)* (2)^(k),(2*k + 1)!!]*(x)^(2*k + 1), {k, 0, Infinity}, GenerateConditions->None]
Free variables
- x
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
SymPy
Translation: F(x) == Sum(((- 1)**(k)* (2)**(k))/(factorial2(2*k + 1))*(x)**(2*k + 1), (k, 0, oo)) == x -(2)/(3)*(x)**(3)+(4)/(15)*(x)**(5)- null
Information
Sub Equations
- F(x) = Sum(((- 1)**(k)* (2)**(k))/(factorial2(2*k + 1))*(x)**(2*k + 1), (k, 0, oo))
Free variables
- x
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
Maple
Translation: F(x) = sum(((- 1)^(k)* (2)^(k))/(doublefactorial(2*k + 1))*(x)^(2*k + 1), k = 0..infinity) = x -(2)/(3)*(x)^(3)+(4)/(15)*(x)^(5)- ..;
Information
Sub Equations
- F(x) = sum(((- 1)^(k)* (2)^(k))/(doublefactorial(2*k + 1))*(x)^(2*k + 1), k = 0..infinity)
Free variables
- x
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Complete translation information:
{
"id" : "FORMULA_009eecbf4faed6a429dc95362ff46833",
"formula" : "F(x) = \\sum_{k=0}^\\infty \\frac{(-1)^k 2^k}{(2k+1)!!} x^{2k+1}\n = x - \\frac{2}{3} x^3 + \\frac{4}{15} x^5 - \\cdots,",
"semanticFormula" : "F(x) = \\sum_{k=0}^\\infty \\frac{(-1)^k 2^k}{(2k+1)!!} x^{2k+1}\n = x - \\frac{2}{3} x^3 + \\frac{4}{15} x^5 - \\cdots,",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "F[x] == Sum[Divide[(- 1)^(k)* (2)^(k),(2*k + 1)!!]*(x)^(2*k + 1), {k, 0, Infinity}, GenerateConditions->None] == x -Divide[2,3]*(x)^(3)+Divide[4,15]*(x)^(5)- \\[Ellipsis]\n ",
"translationInformation" : {
"subEquations" : [ "F[x] = Sum[Divide[(- 1)^(k)* (2)^(k),(2*k + 1)!!]*(x)^(2*k + 1), {k, 0, Infinity}, GenerateConditions->None]" ],
"freeVariables" : [ "x" ],
"tokenTranslations" : {
"F" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary)."
}
},
"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" : "F(x) == Sum(((- 1)**(k)* (2)**(k))/(factorial2(2*k + 1))*(x)**(2*k + 1), (k, 0, oo)) == x -(2)/(3)*(x)**(3)+(4)/(15)*(x)**(5)- null\n ",
"translationInformation" : {
"subEquations" : [ "F(x) = Sum(((- 1)**(k)* (2)**(k))/(factorial2(2*k + 1))*(x)**(2*k + 1), (k, 0, oo))" ],
"freeVariables" : [ "x" ],
"tokenTranslations" : {
"F" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary)."
}
},
"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" : "F(x) = sum(((- 1)^(k)* (2)^(k))/(doublefactorial(2*k + 1))*(x)^(2*k + 1), k = 0..infinity) = x -(2)/(3)*(x)^(3)+(4)/(15)*(x)^(5)- ..; ",
"translationInformation" : {
"subEquations" : [ "F(x) = sum(((- 1)^(k)* (2)^(k))/(doublefactorial(2*k + 1))*(x)^(2*k + 1), k = 0..infinity)" ],
"freeVariables" : [ "x" ],
"tokenTranslations" : {
"F" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary)."
}
},
"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" : [ ],
"includes" : [ "F(x)", "F(x) = \\sum_{k=0}^\\infty \\frac{(-1)^k \\, 2^k}{(2k+1)!!} \\, x^{2k+1} = x - \\frac{2}{3} x^3 + \\frac{4}{15} x^5 - \\cdots", "k", "x", "F(y)" ],
"isPartOf" : [ ],
"definiens" : [ ]
}