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 V_1,V_2}
... is translated to the CAS output ...
Semantic latex: V_1,V_2
Confidence: 0
Mathematica
Translation: Subscript[V, 1], Subscript[V, 2]
Information
Sub Equations
- Subscript[V, 1], Subscript[V, 2]
Free variables
- Subscript[V, 1]
- Subscript[V, 2]
Tests
Symbolic
Numeric
SymPy
Translation: Symbol('{V}_{1}'), Symbol('{V}_{2}')
Information
Sub Equations
- Symbol('{V}_{1}'), Symbol('{V}_{2}')
Free variables
- Symbol('{V}_{1}')
- Symbol('{V}_{2}')
Tests
Symbolic
Numeric
Maple
Translation: V[1], V[2]
Information
Sub Equations
- V[1], V[2]
Free variables
- V[1]
- V[2]
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Is part of
Description
- ellipse at the vertex point
- center
- distance
- major axis
- radius of curvature
- vertex
- center of the rectangle
- generation of point
- pencil at the vertex
- ellipse
- Metric property
- co-vertex
Complete translation information:
{
"id" : "FORMULA_9a1642a3ebd54b45b9392feff6577449",
"formula" : "V_1,V_2",
"semanticFormula" : "V_1,V_2",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "Subscript[V, 1], Subscript[V, 2]",
"translationInformation" : {
"subEquations" : [ "Subscript[V, 1], Subscript[V, 2]" ],
"freeVariables" : [ "Subscript[V, 1]", "Subscript[V, 2]" ]
},
"numericResults" : {
"overallResult" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"wasAborted" : false,
"crashed" : false,
"testCalculationsGroups" : [ ]
},
"symbolicResults" : {
"overallResult" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"crashed" : false,
"testCalculationsGroup" : [ ]
}
},
"SymPy" : {
"translation" : "Symbol('{V}_{1}'), Symbol('{V}_{2}')",
"translationInformation" : {
"subEquations" : [ "Symbol('{V}_{1}'), Symbol('{V}_{2}')" ],
"freeVariables" : [ "Symbol('{V}_{1}')", "Symbol('{V}_{2}')" ]
},
"numericResults" : {
"overallResult" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"wasAborted" : false,
"crashed" : false,
"testCalculationsGroups" : [ ]
},
"symbolicResults" : {
"overallResult" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"crashed" : false,
"testCalculationsGroup" : [ ]
}
},
"Maple" : {
"translation" : "V[1], V[2]",
"translationInformation" : {
"subEquations" : [ "V[1], V[2]" ],
"freeVariables" : [ "V[1]", "V[2]" ]
},
"numericResults" : {
"overallResult" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"wasAborted" : false,
"crashed" : false,
"testCalculationsGroups" : [ ]
},
"symbolicResults" : {
"overallResult" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"crashed" : false,
"testCalculationsGroup" : [ ]
}
}
},
"positions" : [ {
"section" : 1,
"sentence" : 3,
"word" : 12
} ],
"includes" : [ "V_1,\\, V_2", "V_1", "V", "V_2" ],
"isPartOf" : [ "V_1,\\, V_2", "V_1,\\, V_2,\\, B,\\, A" ],
"definiens" : [ {
"definition" : "ellipse at the vertex point",
"score" : 0.722
}, {
"definition" : "center",
"score" : 0.6288842031023242
}, {
"definition" : "distance",
"score" : 0.6288842031023242
}, {
"definition" : "major axis",
"score" : 0.6288842031023242
}, {
"definition" : "radius of curvature",
"score" : 0.38922437834188717
}, {
"definition" : "vertex",
"score" : 0.361
}, {
"definition" : "center of the rectangle",
"score" : 0.35159851049127144
}, {
"definition" : "generation of point",
"score" : 0.3249086196238076
}, {
"definition" : "pencil at the vertex",
"score" : 0.3249086196238076
}, {
"definition" : "ellipse",
"score" : 0.2378174995334326
}, {
"definition" : "Metric property",
"score" : 0.1890952380952381
}, {
"definition" : "co-vertex",
"score" : 0.10555930748162859
} ]
}