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 \alpha = \beta = 0 }
... is translated to the CAS output ...
Semantic latex: \alpha = \beta = 0
Confidence: 0
Mathematica
Translation: \[Alpha] == \[Beta] == 0
Information
Sub Equations
- \[Alpha] = \[Beta]
- \[Beta] = 0
Free variables
- \[Alpha]
- \[Beta]
Symbol info
- Could be the second Feigenbaum 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: (\[Alpha])-(\[Beta])
ERROR:
{
"result": "ERROR",
"testTitle": "Simple",
"testExpression": null,
"resultExpression": null,
"wasAborted": false,
"conditionallySuccessful": false
}
Test expression: (\[Beta])-(0)
ERROR:
{
"result": "ERROR",
"testTitle": "Simple",
"testExpression": null,
"resultExpression": null,
"wasAborted": false,
"conditionallySuccessful": false
}
Numeric
SymPy
Translation: Symbol('alpha') == Symbol('beta') == 0
Information
Sub Equations
- Symbol('alpha') = Symbol('beta')
- Symbol('beta') = 0
Free variables
- Symbol('alpha')
- Symbol('beta')
Symbol info
- Could be the second Feigenbaum 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: alpha = beta = 0
Information
Sub Equations
- alpha = beta
- beta = 0
Free variables
- alpha
- beta
Symbol info
- Could be the second Feigenbaum 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
Description
- Legendre polynomial
Complete translation information:
{
"id" : "FORMULA_c67a4e52a3d370768609f2e25781a9d2",
"formula" : "\\alpha = \\beta = 0",
"semanticFormula" : "\\alpha = \\beta = 0",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "\\[Alpha] == \\[Beta] == 0",
"translationInformation" : {
"subEquations" : [ "\\[Alpha] = \\[Beta]", "\\[Beta] = 0" ],
"freeVariables" : [ "\\[Alpha]", "\\[Beta]" ],
"tokenTranslations" : {
"\\alpha" : "Could be the second Feigenbaum 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" : 2,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 2,
"crashed" : false,
"testCalculationsGroup" : [ {
"lhs" : "\\[Alpha]",
"rhs" : "\\[Beta]",
"testExpression" : "(\\[Alpha])-(\\[Beta])",
"testCalculations" : [ {
"result" : "ERROR",
"testTitle" : "Simple",
"testExpression" : null,
"resultExpression" : null,
"wasAborted" : false,
"conditionallySuccessful" : false
} ]
}, {
"lhs" : "\\[Beta]",
"rhs" : "0",
"testExpression" : "(\\[Beta])-(0)",
"testCalculations" : [ {
"result" : "ERROR",
"testTitle" : "Simple",
"testExpression" : null,
"resultExpression" : null,
"wasAborted" : false,
"conditionallySuccessful" : false
} ]
} ]
}
},
"SymPy" : {
"translation" : "Symbol('alpha') == Symbol('beta') == 0",
"translationInformation" : {
"subEquations" : [ "Symbol('alpha') = Symbol('beta')", "Symbol('beta') = 0" ],
"freeVariables" : [ "Symbol('alpha')", "Symbol('beta')" ],
"tokenTranslations" : {
"\\alpha" : "Could be the second Feigenbaum constant.\nBut this system doesn't know how to translate it as a constant. It was translated as a general letter.\n"
}
}
},
"Maple" : {
"translation" : "alpha = beta = 0",
"translationInformation" : {
"subEquations" : [ "alpha = beta", "beta = 0" ],
"freeVariables" : [ "alpha", "beta" ],
"tokenTranslations" : {
"\\alpha" : "Could be the second Feigenbaum constant.\nBut this system doesn't know how to translate it as a constant. It was translated as a general letter.\n"
}
}
}
},
"positions" : [ {
"section" : 2,
"sentence" : 1,
"word" : 1
} ],
"includes" : [ ],
"isPartOf" : [ ],
"definiens" : [ {
"definition" : "Legendre polynomial",
"score" : 0.6859086196238077
} ]
}