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 (a;q)_n = \prod_{k=0}^{n-1} (1-aq^k)=(1-a)(1-aq)(1-aq^2)\cdots(1-aq^{n-1})}
... is translated to the CAS output ...
Semantic latex: (a;q)_n = \prod_{k=0}^{n-1} (1-aq^k)=(1-a)(1-aq)(1-aq^2)\cdots(1-aq^{n-1})
Confidence: 0
Mathematica
Translation: Subscript[a ; q, n] == Product[1 - a*(q)^(k), {k, 0, n - 1}, GenerateConditions->None] == (1 - a)*(1 - a*q)*(1 - a*(q)^(2)) \[Ellipsis](1 - a*(q)^(n - 1))
Information
Sub Equations
- Subscript[a ; q, n] = Product[1 - a*(q)^(k), {k, 0, n - 1}, GenerateConditions->None]
- Product[1 - a*(q)^(k), {k, 0, n - 1}, GenerateConditions->None] = (1 - a)*(1 - a*q)*(1 - a*(q)^(2)) \[Ellipsis](1 - a*(q)^(n - 1))
Free variables
- a
- n
- q
Tests
Symbolic
Numeric
SymPy
Translation: Symbol('{a ; q}_{n}') == Product(1 - a*(q)**(k), (k, 0, n - 1)) == (1 - a)*(1 - a*q)*(1 - a*(q)**(2)) null (1 - a*(q)**(n - 1))
Information
Sub Equations
- Symbol('{a ; q}_{n}') = Product(1 - a*(q)**(k), (k, 0, n - 1))
- Product(1 - a*(q)**(k), (k, 0, n - 1)) = (1 - a)*(1 - a*q)*(1 - a*(q)**(2)) null (1 - a*(q)**(n - 1))
Free variables
- a
- n
- q
Tests
Symbolic
Numeric
Maple
Translation: a ; q[n] = product(1 - a*(q)^(k), k = 0..n - 1) = (1 - a)*(1 - a*q)*(1 - a*(q)^(2)) .. (1 - a*(q)^(n - 1))
Information
Sub Equations
- a ; q[n] = product(1 - a*(q)^(k), k = 0..n - 1)
- product(1 - a*(q)^(k), k = 0..n - 1) = (1 - a)*(1 - a*q)*(1 - a*(q)^(2)) .. (1 - a*(q)^(n - 1))
Free variables
- a
- n
- q
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Description
- unilateral basic hypergeometric series
Complete translation information:
{
"id" : "FORMULA_90d31298e24ffe1cec83697c6b86a4c9",
"formula" : "(a;q)_n = \\prod_{k=0}^{n-1} (1-aq^k)=(1-a)(1-aq)(1-aq^2)\\cdots(1-aq^{n-1})",
"semanticFormula" : "(a;q)_n = \\prod_{k=0}^{n-1} (1-aq^k)=(1-a)(1-aq)(1-aq^2)\\cdots(1-aq^{n-1})",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "Subscript[a ; q, n] == Product[1 - a*(q)^(k), {k, 0, n - 1}, GenerateConditions->None] == (1 - a)*(1 - a*q)*(1 - a*(q)^(2)) \\[Ellipsis](1 - a*(q)^(n - 1))",
"translationInformation" : {
"subEquations" : [ "Subscript[a ; q, n] = Product[1 - a*(q)^(k), {k, 0, n - 1}, GenerateConditions->None]", "Product[1 - a*(q)^(k), {k, 0, n - 1}, GenerateConditions->None] = (1 - a)*(1 - a*q)*(1 - a*(q)^(2)) \\[Ellipsis](1 - a*(q)^(n - 1))" ],
"freeVariables" : [ "a", "n", "q" ]
},
"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('{a ; q}_{n}') == Product(1 - a*(q)**(k), (k, 0, n - 1)) == (1 - a)*(1 - a*q)*(1 - a*(q)**(2)) null (1 - a*(q)**(n - 1))",
"translationInformation" : {
"subEquations" : [ "Symbol('{a ; q}_{n}') = Product(1 - a*(q)**(k), (k, 0, n - 1))", "Product(1 - a*(q)**(k), (k, 0, n - 1)) = (1 - a)*(1 - a*q)*(1 - a*(q)**(2)) null (1 - a*(q)**(n - 1))" ],
"freeVariables" : [ "a", "n", "q" ]
},
"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" : "a ; q[n] = product(1 - a*(q)^(k), k = 0..n - 1) = (1 - a)*(1 - a*q)*(1 - a*(q)^(2)) .. (1 - a*(q)^(n - 1))",
"translationInformation" : {
"subEquations" : [ "a ; q[n] = product(1 - a*(q)^(k), k = 0..n - 1)", "product(1 - a*(q)^(k), k = 0..n - 1) = (1 - a)*(1 - a*q)*(1 - a*(q)^(2)) .. (1 - a*(q)^(n - 1))" ],
"freeVariables" : [ "a", "n", "q" ]
},
"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" : 1,
"sentence" : 1,
"word" : 14
} ],
"includes" : [ "q", "x_{n}", "n", "a" ],
"isPartOf" : [ ],
"definiens" : [ {
"definition" : "unilateral basic hypergeometric series",
"score" : 0.5988174995334326
} ]
}