LaTeX to CAS translator
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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 F(x; k) = u}
... is translated to the CAS output ...
Semantic latex: F(x; k) = u
Confidence: 0
Mathematica
Translation: F[x ; k] == u
Information
Sub Equations
- F[x ; k] = u
Free variables
- k
- u
- x
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Test expression: (F*(x ; k))-(u)
ERROR:
{
"result": "ERROR",
"testTitle": "Simple",
"testExpression": null,
"resultExpression": null,
"wasAborted": false,
"conditionallySuccessful": false
}
Numeric
SymPy
Translation: F(x ; k) == u
Information
Sub Equations
- F(x ; k) = u
Free variables
- k
- u
- x
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
Maple
Translation: F(x ; k) = u
Information
Sub Equations
- F(x ; k) = u
Free variables
- k
- u
- x
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Description
- k
- elliptic integral of the first kind
- substitution
- article
- benchmark entry
- Elliptic integral
- appropriate translation
- ArcSin
- ellipticf
- first argument
- JacobiSN
- Mathematica
- note that the second argument
- such complex translation from semantic latex
- u
- u While lct
- example
- connection
- dependency
- additional dependency in the dependency graph
- part of an equation
- multi-equation
- extra moi
Complete translation information:
{
"id" : "FORMULA_42474c3f2c648ff2b9824815e2727dbd",
"formula" : "F(x; k) = u",
"semanticFormula" : "F(x; k) = u",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "F[x ; k] == u",
"translationInformation" : {
"subEquations" : [ "F[x ; k] = u" ],
"freeVariables" : [ "k", "u", "x" ],
"tokenTranslations" : {
"F" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary)."
}
},
"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" : "F*(x ; k)",
"rhs" : "u",
"testExpression" : "(F*(x ; k))-(u)",
"testCalculations" : [ {
"result" : "ERROR",
"testTitle" : "Simple",
"testExpression" : null,
"resultExpression" : null,
"wasAborted" : false,
"conditionallySuccessful" : false
} ]
} ]
}
},
"SymPy" : {
"translation" : "F(x ; k) == u",
"translationInformation" : {
"subEquations" : [ "F(x ; k) = u" ],
"freeVariables" : [ "k", "u", "x" ],
"tokenTranslations" : {
"F" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary)."
}
}
},
"Maple" : {
"translation" : "F(x ; k) = u",
"translationInformation" : {
"subEquations" : [ "F(x ; k) = u" ],
"freeVariables" : [ "k", "u", "x" ],
"tokenTranslations" : {
"F" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary)."
}
}
}
},
"positions" : [ {
"section" : 8,
"sentence" : 4,
"word" : 17
}, {
"section" : 8,
"sentence" : 6,
"word" : 6
}, {
"section" : 8,
"sentence" : 10,
"word" : 30
}, {
"section" : 8,
"sentence" : 12,
"word" : 7
} ],
"includes" : [ "=", "F", "x", "F(x; k)" ],
"isPartOf" : [ ],
"definiens" : [ {
"definition" : "k",
"score" : 0.7306228940788949
}, {
"definition" : "elliptic integral of the first kind",
"score" : 0.722
}, {
"definition" : "substitution",
"score" : 0.6424468626981997
}, {
"definition" : "article",
"score" : 0.6288842031023242
}, {
"definition" : "benchmark entry",
"score" : 0.6288842031023242
}, {
"definition" : "Elliptic integral",
"score" : 0.6288842031023242
}, {
"definition" : "appropriate translation",
"score" : 0.5775629775816605
}, {
"definition" : "ArcSin",
"score" : 0.5775629775816605
}, {
"definition" : "ellipticf",
"score" : 0.5775629775816605
}, {
"definition" : "first argument",
"score" : 0.5775629775816605
}, {
"definition" : "JacobiSN",
"score" : 0.5775629775816605
}, {
"definition" : "Mathematica",
"score" : 0.5775629775816605
}, {
"definition" : "note that the second argument",
"score" : 0.5775629775816605
}, {
"definition" : "such complex translation from semantic latex",
"score" : 0.5775629775816605
}, {
"definition" : "u",
"score" : 0.5775629775816605
}, {
"definition" : "u While lct",
"score" : 0.5775629775816605
}, {
"definition" : "example",
"score" : 0.5329047619047619
}, {
"definition" : "connection",
"score" : 0.3463967148619029
}, {
"definition" : "dependency",
"score" : 0.32739553012332934
}, {
"definition" : "additional dependency in the dependency graph",
"score" : 0.3065627745308957
}, {
"definition" : "part of an equation",
"score" : 0.21058333333333334
}, {
"definition" : "multi-equation",
"score" : 0.16539552081954464
}, {
"definition" : "extra moi",
"score" : 0.12704740271972384
} ]
}