LaTeX to CAS translator
Jump to navigation
Jump to search
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 r = 0, 1, \ldots, n - 1}
... is translated to the CAS output ...
Semantic latex: r = 0, 1, \ldots, n - 1
Confidence: 0
Mathematica
Translation: r == 0 1 , \[Ellipsis], n - 1
Information
Free variables
- n
- r
Tests
Symbolic
Test expression: r
ERROR:
{
"result": "ERROR",
"testTitle": "Simple",
"testExpression": null,
"resultExpression": null,
"wasAborted": false,
"conditionallySuccessful": false
}
Numeric
SymPy
Translation: r == 0 1 , null , n - 1
Information
Free variables
- n
- r
Tests
Symbolic
Numeric
Maple
Translation: r = 0; 1 , .. , n - 1
Information
Free variables
- n
- r
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Is part of
Description
- Orthogonal polynomial
- scalar product
- coefficient
- degree
- i.e. monic
- infinity
- maximal degree
- recurrence relation
- nontrivial polynomial of degree
Complete translation information:
{
"id" : "FORMULA_d690b4ff9fbb6944eda4257a4ef6279e",
"formula" : "r = 0, 1, \\ldots, n - 1",
"semanticFormula" : "r = 0, 1, \\ldots, n - 1",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "r == 0\n 1 , \\[Ellipsis], n - 1",
"translationInformation" : {
"freeVariables" : [ "n", "r" ]
},
"symbolicResults" : {
"overallResult" : "ERROR",
"numberOfTests" : 1,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 1,
"crashed" : false,
"testCalculationsGroup" : [ {
"lhs" : "r",
"rhs" : "",
"testExpression" : "r",
"testCalculations" : [ {
"result" : "ERROR",
"testTitle" : "Simple",
"testExpression" : null,
"resultExpression" : null,
"wasAborted" : false,
"conditionallySuccessful" : false
} ]
} ]
}
},
"SymPy" : {
"translation" : "r == 0\n 1 , null , n - 1",
"translationInformation" : {
"freeVariables" : [ "n", "r" ]
}
},
"Maple" : {
"translation" : "r = 0; 1 , .. , n - 1",
"translationInformation" : {
"freeVariables" : [ "n", "r" ]
}
}
},
"positions" : [ {
"section" : 8,
"sentence" : 0,
"word" : 36
} ],
"includes" : [ "n - 1", "n", "r", "1" ],
"isPartOf" : [ "\\int_a^b \\omega(x) \\, x^k p_n(x) \\, dx = 0, \\quad \\text{for all } k = 0, 1, \\ldots, n - 1" ],
"definiens" : [ {
"definition" : "Orthogonal polynomial",
"score" : 0.8426021531523621
}, {
"definition" : "scalar product",
"score" : 0.8426021531523621
}, {
"definition" : "coefficient",
"score" : 0.6687181434333315
}, {
"definition" : "degree",
"score" : 0.6687181434333315
}, {
"definition" : "i.e. monic",
"score" : 0.6687181434333315
}, {
"definition" : "infinity",
"score" : 0.6687181434333315
}, {
"definition" : "maximal degree",
"score" : 0.6687181434333315
}, {
"definition" : "recurrence relation",
"score" : 0.6687181434333315
}, {
"definition" : "nontrivial polynomial of degree",
"score" : 0.3249086196238076
} ]
}