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 \mathbf{J}=\mathbf{j}_1+\mathbf{j}_2}
... is translated to the CAS output ...
Semantic latex: \mathbf{J}=\mathbf{j}_1+\mathbf{j}_2
Confidence: 0
Mathematica
Translation: J == Subscript[j, 1]+ Subscript[j, 2]
Information
Sub Equations
- J = Subscript[j, 1]+ Subscript[j, 2]
Free variables
- J
- Subscript[j, 1]
- Subscript[j, 2]
Tests
Symbolic
Numeric
SymPy
Translation: J == Symbol('{j}_{1}')+ Symbol('{j}_{2}')
Information
Sub Equations
- J = Symbol('{j}_{1}')+ Symbol('{j}_{2}')
Free variables
- J
- Symbol('{j}_{1}')
- Symbol('{j}_{2}')
Tests
Symbolic
Numeric
Maple
Translation: J = j[1]+ j[2]
Information
Sub Equations
- J = j[1]+ j[2]
Free variables
- J
- j[1]
- j[2]
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Description
- construction of simultaneous eigenfunction
- coupling
- angular momenta
- article on Clebsch -- Gordan coefficient
Complete translation information:
{
"id" : "FORMULA_d8000501ac4a3d4f4e8d303c1dad0cf5",
"formula" : "\\mathbf{J}=\\mathbf{j}_1+\\mathbf{j}_2",
"semanticFormula" : "\\mathbf{J}=\\mathbf{j}_1+\\mathbf{j}_2",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "J == Subscript[j, 1]+ Subscript[j, 2]",
"translationInformation" : {
"subEquations" : [ "J = Subscript[j, 1]+ Subscript[j, 2]" ],
"freeVariables" : [ "J", "Subscript[j, 1]", "Subscript[j, 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" : "J == Symbol('{j}_{1}')+ Symbol('{j}_{2}')",
"translationInformation" : {
"subEquations" : [ "J = Symbol('{j}_{1}')+ Symbol('{j}_{2}')" ],
"freeVariables" : [ "J", "Symbol('{j}_{1}')", "Symbol('{j}_{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" : "J = j[1]+ j[2]",
"translationInformation" : {
"subEquations" : [ "J = j[1]+ j[2]" ],
"freeVariables" : [ "J", "j[1]", "j[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" : 0,
"word" : 20
} ],
"includes" : [ "\\mathbf{j}_1", "j", "\\mathbf{j}_2" ],
"isPartOf" : [ ],
"definiens" : [ {
"definition" : "construction of simultaneous eigenfunction",
"score" : 0.7125985104912714
}, {
"definition" : "coupling",
"score" : 0.6859086196238077
}, {
"definition" : "angular momenta",
"score" : 0.6460746792928004
}, {
"definition" : "article on Clebsch -- Gordan coefficient",
"score" : 0.6460746792928004
} ]
}