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}(-q)^j (q-1)^{k-j} \binom {n-j}{k-j} \binom{x}{j}. }
... is translated to the CAS output ...
Semantic latex: \mathcal{K}_k(x; n,q) = \sum_{j=0}^{k}(-q)^j (q-1)^{k-j} \binom {n-j}{k-j} \binom{x}{j}
Confidence: 0
Mathematica
Translation: Subscript[K, k][x ; n , q] == Sum[(- q)^(j)*(q - 1)^(k - j)*Binomial[n - j,k - j]*Binomial[x,j], {j, 0, k}, GenerateConditions->None]
Information
Sub Equations
- Subscript[K, k][x ; n , q] = Sum[(- q)^(j)*(q - 1)^(k - j)*Binomial[n - j,k - j]*Binomial[x,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((- q)**(j)*(q - 1)**(k - j)*binomial(n - j,k - j)*binomial(x,j), (j, 0, k))
Information
Sub Equations
- Symbol('{K}_{k}')(x ; n , q) = Sum((- q)**(j)*(q - 1)**(k - j)*binomial(n - j,k - j)*binomial(x,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((- q)^(j)*(q - 1)^(k - j)*binomial(n - j,k - j)*binomial(x,j), j = 0..k)
Information
Sub Equations
- K[k](x ; n , q) = sum((- q)^(j)*(q - 1)^(k - j)*binomial(n - j,k - j)*binomial(x,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
Description
- following alternative expression
- Kravchuk polynomial
Complete translation information:
{
"id" : "FORMULA_6b7eb62a3e02e45fb1365dd2f07a5bbc",
"formula" : "\\mathcal{K}_k(x; n,q) = \\sum_{j=0}^{k}(-q)^j (q-1)^{k-j} \\binom {n-j}{k-j} \\binom{x}{j}",
"semanticFormula" : "\\mathcal{K}_k(x; n,q) = \\sum_{j=0}^{k}(-q)^j (q-1)^{k-j} \\binom {n-j}{k-j} \\binom{x}{j}",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "Subscript[K, k][x ; n , q] == Sum[(- q)^(j)*(q - 1)^(k - j)*Binomial[n - j,k - j]*Binomial[x,j], {j, 0, k}, GenerateConditions->None]",
"translationInformation" : {
"subEquations" : [ "Subscript[K, k][x ; n , q] = Sum[(- q)^(j)*(q - 1)^(k - j)*Binomial[n - j,k - j]*Binomial[x,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((- q)**(j)*(q - 1)**(k - j)*binomial(n - j,k - j)*binomial(x,j), (j, 0, k))",
"translationInformation" : {
"subEquations" : [ "Symbol('{K}_{k}')(x ; n , q) = Sum((- q)**(j)*(q - 1)**(k - j)*binomial(n - j,k - j)*binomial(x,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((- q)^(j)*(q - 1)^(k - j)*binomial(n - j,k - j)*binomial(x,j), j = 0..k)",
"translationInformation" : {
"subEquations" : [ "K[k](x ; n , q) = sum((- q)^(j)*(q - 1)^(k - j)*binomial(n - j,k - j)*binomial(x,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" : 0,
"word" : 9
} ],
"includes" : [ "q", "n" ],
"isPartOf" : [ ],
"definiens" : [ {
"definition" : "following alternative expression",
"score" : 0.7125985104912714
}, {
"definition" : "Kravchuk polynomial",
"score" : 0.6460746792928004
} ]
}