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 \Phi(z, s, \alpha) = \sum_{n=0}^\infty \frac { z^n} {(n+\alpha)^s}.}
... is translated to the CAS output ...
Semantic latex: \Phi(z, s, \alpha) = \sum_{n=0}^\infty \frac { z^n} {(n+\alpha)^s}
Confidence: 0
Mathematica
Translation: \[CapitalPhi][z , s , \[Alpha]] == Sum[Divide[(z)^(n),(n + \[Alpha])^(s)], {n, 0, Infinity}, GenerateConditions->None]
Information
Sub Equations
- \[CapitalPhi][z , s , \[Alpha]] = Sum[Divide[(z)^(n),(n + \[Alpha])^(s)], {n, 0, Infinity}, GenerateConditions->None]
Free variables
- \[Alpha]
- \[CapitalPhi]
- s
- z
Symbol info
- Could be the second Feigenbaum constant.
But this system doesn't know how to translate it as a constant. It was translated as a general letter.
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
SymPy
Translation: Symbol('Phi')(z , s , Symbol('alpha')) == Sum(((z)**(n))/((n + Symbol('alpha'))**(s)), (n, 0, oo))
Information
Sub Equations
- Symbol('Phi')(z , s , Symbol('alpha')) = Sum(((z)**(n))/((n + Symbol('alpha'))**(s)), (n, 0, oo))
Free variables
- Symbol('Phi')
- Symbol('alpha')
- s
- z
Symbol info
- Could be the second Feigenbaum constant.
But this system doesn't know how to translate it as a constant. It was translated as a general letter.
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
Maple
Translation: Phi(z , s , alpha) = sum(((z)^(n))/((n + alpha)^(s)), n = 0..infinity)
Information
Sub Equations
- Phi(z , s , alpha) = sum(((z)^(n))/((n + alpha)^(s)), n = 0..infinity)
Free variables
- Phi
- alpha
- s
- z
Symbol info
- Could be the second Feigenbaum constant.
But this system doesn't know how to translate it as a constant. It was translated as a general letter.
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Is part of
Complete translation information:
{
"id" : "FORMULA_8d6e159f2fcb2147b2d19f327fc37613",
"formula" : "\\Phi(z, s, \\alpha) = \\sum_{n=0}^\\infty\n\\frac { z^n} {(n+\\alpha)^s}",
"semanticFormula" : "\\Phi(z, s, \\alpha) = \\sum_{n=0}^\\infty\n\\frac { z^n} {(n+\\alpha)^s}",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "\\[CapitalPhi][z , s , \\[Alpha]] == Sum[Divide[(z)^(n),(n + \\[Alpha])^(s)], {n, 0, Infinity}, GenerateConditions->None]",
"translationInformation" : {
"subEquations" : [ "\\[CapitalPhi][z , s , \\[Alpha]] = Sum[Divide[(z)^(n),(n + \\[Alpha])^(s)], {n, 0, Infinity}, GenerateConditions->None]" ],
"freeVariables" : [ "\\[Alpha]", "\\[CapitalPhi]", "s", "z" ],
"tokenTranslations" : {
"\\alpha" : "Could be the second Feigenbaum constant.\nBut this system doesn't know how to translate it as a constant. It was translated as a general letter.\n",
"\\Phi" : "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('Phi')(z , s , Symbol('alpha')) == Sum(((z)**(n))/((n + Symbol('alpha'))**(s)), (n, 0, oo))",
"translationInformation" : {
"subEquations" : [ "Symbol('Phi')(z , s , Symbol('alpha')) = Sum(((z)**(n))/((n + Symbol('alpha'))**(s)), (n, 0, oo))" ],
"freeVariables" : [ "Symbol('Phi')", "Symbol('alpha')", "s", "z" ],
"tokenTranslations" : {
"\\alpha" : "Could be the second Feigenbaum constant.\nBut this system doesn't know how to translate it as a constant. It was translated as a general letter.\n",
"\\Phi" : "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" : "Phi(z , s , alpha) = sum(((z)^(n))/((n + alpha)^(s)), n = 0..infinity)",
"translationInformation" : {
"subEquations" : [ "Phi(z , s , alpha) = sum(((z)^(n))/((n + alpha)^(s)), n = 0..infinity)" ],
"freeVariables" : [ "Phi", "alpha", "s", "z" ],
"tokenTranslations" : {
"\\alpha" : "Could be the second Feigenbaum constant.\nBut this system doesn't know how to translate it as a constant. It was translated as a general letter.\n",
"\\Phi" : "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" : [ "\\Phi(z,s,a)", "\\Phi(z, s, \\alpha) = \\sum_{n=0}^\\infty\\frac { z^n} {(n+\\alpha)^s}", "z", "s", "n= 0" ],
"isPartOf" : [ "\\Phi(z, s, \\alpha) = \\sum_{n=0}^\\infty\\frac { z^n} {(n+\\alpha)^s}", "\\Phi(\\omega, s, \\alpha) = \\sum_{n=0}^\\infty\\frac {\\omega^n} {(n+\\alpha)^s} = \\sum_{m=0}^{q-1} \\sum_{n=0}^\\infty \\frac {\\omega^{qn + m}}{(qn + m + \\alpha)^s} = \\sum_{m=0}^{q-1} \\omega^m q^{-s} \\zeta(s,\\frac{m + \\alpha}{q})" ],
"definiens" : [ ]
}