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 \mathcal{K}_k(x; n,q) = \sum_{j=0}^{k}(-1)^j q^{k-j} \binom {n-k+j}{j} \binom{n-x}{k-j}. }
... is translated to the CAS output ...
Semantic latex: \mathcal{K}_k(x; n,q) = \sum_{j=0}^{k}(-1)^j q^{k-j} \binom {n-k+j}{j} \binom{n-x}{k-j}
Confidence: 0
Mathematica
Translation: Subscript[K, k][x ; n , q] == Sum[(- 1)^(j)* (q)^(k - j)*Binomial[n - k + j,j]*Binomial[n - x,k - j], {j, 0, k}, GenerateConditions->None]
Information
Sub Equations
- Subscript[K, k][x ; n , q] = Sum[(- 1)^(j)* (q)^(k - j)*Binomial[n - k + j,j]*Binomial[n - x,k - j], {j, 0, k}, GenerateConditions->None]
Free variables
- k
- n
- q
- x
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
SymPy
Translation: Symbol('{K}_{k}')(x ; n , q) == Sum((- 1)**(j)* (q)**(k - j)*binomial(n - k + j,j)*binomial(n - x,k - j), (j, 0, k))
Information
Sub Equations
- Symbol('{K}_{k}')(x ; n , q) = Sum((- 1)**(j)* (q)**(k - j)*binomial(n - k + j,j)*binomial(n - x,k - j), (j, 0, k))
Free variables
- k
- n
- q
- x
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
Maple
Translation: K[k](x ; n , q) = sum((- 1)^(j)* (q)^(k - j)*binomial(n - k + j,j)*binomial(n - x,k - j), j = 0..k)
Information
Sub Equations
- K[k](x ; n , q) = sum((- 1)^(j)* (q)^(k - j)*binomial(n - k + j,j)*binomial(n - x,k - j), j = 0..k)
Free variables
- k
- n
- q
- 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_ac13915f2ee8bb696b44991ba9fa21ff",
"formula" : "\\mathcal{K}_k(x; n,q) = \\sum_{j=0}^{k}(-1)^j q^{k-j} \\binom {n-k+j}{j} \\binom{n-x}{k-j}",
"semanticFormula" : "\\mathcal{K}_k(x; n,q) = \\sum_{j=0}^{k}(-1)^j q^{k-j} \\binom {n-k+j}{j} \\binom{n-x}{k-j}",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "Subscript[K, k][x ; n , q] == Sum[(- 1)^(j)* (q)^(k - j)*Binomial[n - k + j,j]*Binomial[n - x,k - j], {j, 0, k}, GenerateConditions->None]",
"translationInformation" : {
"subEquations" : [ "Subscript[K, k][x ; n , q] = Sum[(- 1)^(j)* (q)^(k - j)*Binomial[n - k + j,j]*Binomial[n - x,k - j], {j, 0, k}, GenerateConditions->None]" ],
"freeVariables" : [ "k", "n", "q", "x" ],
"tokenTranslations" : {
"K" : "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" : "Symbol('{K}_{k}')(x ; n , q) == Sum((- 1)**(j)* (q)**(k - j)*binomial(n - k + j,j)*binomial(n - x,k - j), (j, 0, k))",
"translationInformation" : {
"subEquations" : [ "Symbol('{K}_{k}')(x ; n , q) = Sum((- 1)**(j)* (q)**(k - j)*binomial(n - k + j,j)*binomial(n - x,k - j), (j, 0, k))" ],
"freeVariables" : [ "k", "n", "q", "x" ],
"tokenTranslations" : {
"K" : "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" : "K[k](x ; n , q) = sum((- 1)^(j)* (q)^(k - j)*binomial(n - k + j,j)*binomial(n - x,k - j), j = 0..k)",
"translationInformation" : {
"subEquations" : [ "K[k](x ; n , q) = sum((- 1)^(j)* (q)^(k - j)*binomial(n - k + j,j)*binomial(n - x,k - j), j = 0..k)" ],
"freeVariables" : [ "k", "n", "q", "x" ],
"tokenTranslations" : {
"K" : "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" : [ {
"section" : 2,
"sentence" : 1,
"word" : 0
} ],
"includes" : [ "q", "n" ],
"isPartOf" : [ ],
"definiens" : [ ]
}