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 \operatorname{\mathcal E}\left[X^{2n}\right] = (-1)^n \mathit{He}_{2n}(0) = (2n-1)!!,}
... is translated to the CAS output ...
Semantic latex: \operatorname \mathcal E} [X^{2n}] =(- 1)^n \dilHermitepolyHe{2n}@{0} =(2 n - 1)!!
Confidence: 0.72966657862531
Mathematica
Translation: E
Information
Sub Equations
- E
Free variables
- E
Symbol info
- Was interpreted as a function call because of a leading \operatorname.
Tests
Symbolic
Test expression: E
ERROR:
{
"result": "ERROR",
"testTitle": "Simple",
"testExpression": null,
"resultExpression": null,
"wasAborted": false,
"conditionallySuccessful": false
}
Numeric
SymPy
Translation: E
Information
Sub Equations
- E
Free variables
- E
Symbol info
- Was interpreted as a function call because of a leading \operatorname.
Tests
Symbolic
Numeric
Maple
Translation: E
Information
Sub Equations
- E
Free variables
- E
Symbol info
- Was interpreted as a function call because of a leading \operatorname.
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Description
- double factorial
- index
- relation
- moment
- value
Complete translation information:
{
"id" : "FORMULA_19b4c7ad89032055a308e898fdc10318",
"formula" : "\\operatorname{\\mathcal E}\\left[X^{2n}\\right] = (-1)^n \\mathit{He}_{2n}(0) = (2n-1)!!",
"semanticFormula" : "\\operatorname \\mathcal E} [X^{2n}] =(- 1)^n \\dilHermitepolyHe{2n}@{0} =(2 n - 1)!!",
"confidence" : 0.7296665786253127,
"translations" : {
"Mathematica" : {
"translation" : "E",
"translationInformation" : {
"subEquations" : [ "E" ],
"freeVariables" : [ "E" ],
"tokenTranslations" : {
"E" : "Was interpreted as a function call because of a leading \\operatorname."
}
},
"numericResults" : {
"overallResult" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"wasAborted" : false,
"crashed" : false,
"testCalculationsGroups" : [ ]
},
"symbolicResults" : {
"overallResult" : "ERROR",
"numberOfTests" : 1,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 1,
"crashed" : false,
"testCalculationsGroup" : [ {
"lhs" : "E",
"rhs" : "",
"testExpression" : "E",
"testCalculations" : [ {
"result" : "ERROR",
"testTitle" : "Simple",
"testExpression" : null,
"resultExpression" : null,
"wasAborted" : false,
"conditionallySuccessful" : false
} ]
} ]
}
},
"SymPy" : {
"translation" : "E",
"translationInformation" : {
"subEquations" : [ "E" ],
"freeVariables" : [ "E" ],
"tokenTranslations" : {
"E" : "Was interpreted as a function call because of a leading \\operatorname."
}
}
},
"Maple" : {
"translation" : "E",
"translationInformation" : {
"subEquations" : [ "E" ],
"freeVariables" : [ "E" ],
"tokenTranslations" : {
"E" : "Was interpreted as a function call because of a leading \\operatorname."
}
}
}
},
"positions" : [ {
"section" : 10,
"sentence" : 1,
"word" : 24
} ],
"includes" : [ "X", "He", "n", "(2n - 1)!!", "x^{n}" ],
"isPartOf" : [ ],
"definiens" : [ {
"definition" : "double factorial",
"score" : 0.7125985104912714
}, {
"definition" : "index",
"score" : 0.7125985104912714
}, {
"definition" : "relation",
"score" : 0.6859086196238077
}, {
"definition" : "moment",
"score" : 0.5988174995334326
}, {
"definition" : "value",
"score" : 0.5049074255814494
} ]
}