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 \;_{1}\phi_0 (a;q,z) =\frac{(az;q)_\infty}{(z;q)_\infty}= \prod_{n=0}^\infty \frac {1-aq^n z}{1-q^n z}}
... is translated to the CAS output ...
Semantic latex: _{1}\phi_0 (a;q,z) =\frac{(az;q)_\infty}{(z;q)_\infty}= \prod_{n=0}^\infty \frac {1-aq^n z}{1-q^n z}
Confidence: 0
Mathematica
Translation: Subscript[$0, 1]*Subscript[\[Phi], 0][a ; q , z] == Divide[Subscript[a*z ; q, Infinity],Subscript[z ; q, Infinity]] == Product[Divide[1 - a*(q)^(n)* z,1 - (q)^(n)* z], {n, 0, Infinity}, GenerateConditions->None]
Information
Sub Equations
- Subscript[$0, 1]*Subscript[\[Phi], 0][a ; q , z] = Divide[Subscript[a*z ; q, Infinity],Subscript[z ; q, Infinity]]
- Divide[Subscript[a*z ; q, Infinity],Subscript[z ; q, Infinity]] = Product[Divide[1 - a*(q)^(n)* z,1 - (q)^(n)* z], {n, 0, Infinity}, GenerateConditions->None]
Free variables
- Subscript[\[Phi], 0]
- a
- q
- z
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
SymPy
Translation: Symbol('{$0}_{1}')*Symbol('{Symbol('phi')}_{0}')(a ; q , z) == (Symbol('{a*z ; q}_{oo}'))/(Symbol('{z ; q}_{oo}')) == Product((1 - a*(q)**(n)* z)/(1 - (q)**(n)* z), (n, 0, oo))
Information
Sub Equations
- Symbol('{$0}_{1}')*Symbol('{Symbol('phi')}_{0}')(a ; q , z) = (Symbol('{a*z ; q}_{oo}'))/(Symbol('{z ; q}_{oo}'))
- (Symbol('{a*z ; q}_{oo}'))/(Symbol('{z ; q}_{oo}')) = Product((1 - a*(q)**(n)* z)/(1 - (q)**(n)* z), (n, 0, oo))
Free variables
- Symbol('{Symbol('phi')}_{0}')
- a
- q
- z
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
Maple
Translation: $0[1]*phi[0](a ; q , z) = (a*z ; q[infinity])/(z ; q[infinity]) = product((1 - a*(q)^(n)* z)/(1 - (q)^(n)* z), n = 0..infinity)
Information
Sub Equations
- $0[1]*phi[0](a ; q , z) = (a*z ; q[infinity])/(z ; q[infinity])
- (a*z ; q[infinity])/(z ; q[infinity]) = product((1 - a*(q)^(n)* z)/(1 - (q)^(n)* z), n = 0..infinity)
Free variables
- a
- phi[0]
- q
- z
Symbol info
- 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_53c66f341e0adbbe3a4e7e9e2cedbe91",
"formula" : "_{1}\\phi_0 (a;q,z) =\\frac{(az;q)_\\infty}{(z;q)_\\infty}= \\prod_{n=0}^\\infty \n\\frac {1-aq^n z}{1-q^n z}",
"semanticFormula" : "_{1}\\phi_0 (a;q,z) =\\frac{(az;q)_\\infty}{(z;q)_\\infty}= \\prod_{n=0}^\\infty \n\\frac {1-aq^n z}{1-q^n z}",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "Subscript[$0, 1]*Subscript[\\[Phi], 0][a ; q , z] == Divide[Subscript[a*z ; q, Infinity],Subscript[z ; q, Infinity]] == Product[Divide[1 - a*(q)^(n)* z,1 - (q)^(n)* z], {n, 0, Infinity}, GenerateConditions->None]",
"translationInformation" : {
"subEquations" : [ "Subscript[$0, 1]*Subscript[\\[Phi], 0][a ; q , z] = Divide[Subscript[a*z ; q, Infinity],Subscript[z ; q, Infinity]]", "Divide[Subscript[a*z ; q, Infinity],Subscript[z ; q, Infinity]] = Product[Divide[1 - a*(q)^(n)* z,1 - (q)^(n)* z], {n, 0, Infinity}, GenerateConditions->None]" ],
"freeVariables" : [ "Subscript[\\[Phi], 0]", "a", "q", "z" ],
"tokenTranslations" : {
"\\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('{$0}_{1}')*Symbol('{Symbol('phi')}_{0}')(a ; q , z) == (Symbol('{a*z ; q}_{oo}'))/(Symbol('{z ; q}_{oo}')) == Product((1 - a*(q)**(n)* z)/(1 - (q)**(n)* z), (n, 0, oo))",
"translationInformation" : {
"subEquations" : [ "Symbol('{$0}_{1}')*Symbol('{Symbol('phi')}_{0}')(a ; q , z) = (Symbol('{a*z ; q}_{oo}'))/(Symbol('{z ; q}_{oo}'))", "(Symbol('{a*z ; q}_{oo}'))/(Symbol('{z ; q}_{oo}')) = Product((1 - a*(q)**(n)* z)/(1 - (q)**(n)* z), (n, 0, oo))" ],
"freeVariables" : [ "Symbol('{Symbol('phi')}_{0}')", "a", "q", "z" ],
"tokenTranslations" : {
"\\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" : "$0[1]*phi[0](a ; q , z) = (a*z ; q[infinity])/(z ; q[infinity]) = product((1 - a*(q)^(n)* z)/(1 - (q)^(n)* z), n = 0..infinity)",
"translationInformation" : {
"subEquations" : [ "$0[1]*phi[0](a ; q , z) = (a*z ; q[infinity])/(z ; q[infinity])", "(a*z ; q[infinity])/(z ; q[infinity]) = product((1 - a*(q)^(n)* z)/(1 - (q)^(n)* z), n = 0..infinity)" ],
"freeVariables" : [ "a", "phi[0]", "q", "z" ],
"tokenTranslations" : {
"\\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" : [ "a", "z", "n", "q^{n}", "\\;_{1}\\phi_0 (a;q,z) =\\frac{(az;q)_\\infty}{(z;q)_\\infty}= \\prod_{n=0}^\\infty \\frac {1-aq^n z}{1-q^n z}", "q" ],
"isPartOf" : [ "\\;_{1}\\phi_0 (a;q,z) =\\frac{(az;q)_\\infty}{(z;q)_\\infty}= \\prod_{n=0}^\\infty \\frac {1-aq^n z}{1-q^n z}" ],
"definiens" : [ ]
}