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 \Omega = 0}
... is translated to the CAS output ...
Semantic latex: \Omega = 0
Confidence: 0
Mathematica
Translation: \[CapitalOmega] == 0
Information
Sub Equations
- \[CapitalOmega] = 0
Free variables
- \[CapitalOmega]
Symbol info
- Could be The omega constant == the Adamchik constant.
But this system doesn't know how to translate it as a constant. It was translated as a general letter.
Tests
Symbolic
Test expression: (\[CapitalOmega])-(0)
ERROR:
{
"result": "ERROR",
"testTitle": "Simple",
"testExpression": null,
"resultExpression": null,
"wasAborted": false,
"conditionallySuccessful": false
}
Numeric
SymPy
Translation: Symbol('Omega') == 0
Information
Sub Equations
- Symbol('Omega') = 0
Free variables
- Symbol('Omega')
Symbol info
- Could be The omega constant == the Adamchik constant.
But this system doesn't know how to translate it as a constant. It was translated as a general letter.
Tests
Symbolic
Numeric
Maple
Translation: Omega = 0
Information
Sub Equations
- Omega = 0
Free variables
- Omega
Symbol info
- Could be The omega constant == the Adamchik constant.
But this system doesn't know how to translate it as a constant. It was translated as a general letter.
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Is part of
Description
- equation
- Lamé equation
- Mathieu equation
Complete translation information:
{
"id" : "FORMULA_f25352d90699ecd9964372e37b7ce41e",
"formula" : "\\Omega = 0",
"semanticFormula" : "\\Omega = 0",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "\\[CapitalOmega] == 0",
"translationInformation" : {
"subEquations" : [ "\\[CapitalOmega] = 0" ],
"freeVariables" : [ "\\[CapitalOmega]" ],
"tokenTranslations" : {
"\\Omega" : "Could be The omega constant == the Adamchik constant.\nBut this system doesn't know how to translate it as a constant. It was translated as a general letter.\n"
}
},
"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" : "\\[CapitalOmega]",
"rhs" : "0",
"testExpression" : "(\\[CapitalOmega])-(0)",
"testCalculations" : [ {
"result" : "ERROR",
"testTitle" : "Simple",
"testExpression" : null,
"resultExpression" : null,
"wasAborted" : false,
"conditionallySuccessful" : false
} ]
} ]
}
},
"SymPy" : {
"translation" : "Symbol('Omega') == 0",
"translationInformation" : {
"subEquations" : [ "Symbol('Omega') = 0" ],
"freeVariables" : [ "Symbol('Omega')" ],
"tokenTranslations" : {
"\\Omega" : "Could be The omega constant == the Adamchik constant.\nBut this system doesn't know how to translate it as a constant. It was translated as a general letter.\n"
}
}
},
"Maple" : {
"translation" : "Omega = 0",
"translationInformation" : {
"subEquations" : [ "Omega = 0" ],
"freeVariables" : [ "Omega" ],
"tokenTranslations" : {
"\\Omega" : "Could be The omega constant == the Adamchik constant.\nBut this system doesn't know how to translate it as a constant. It was translated as a general letter.\n"
}
}
}
},
"positions" : [ {
"section" : 1,
"sentence" : 5,
"word" : 1
} ],
"includes" : [ "\\Omega" ],
"isPartOf" : [ "\\Omega = 0, k = 0, \\kappa = 2h, \\Lambda -2h^2 = \\lambda, x= z \\pm \\frac{\\pi}{2}" ],
"definiens" : [ {
"definition" : "equation",
"score" : 0.8728715749853855
}, {
"definition" : "Lamé equation",
"score" : 0.6687181434333315
}, {
"definition" : "Mathieu equation",
"score" : 0.6432331635625809
} ]
}