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 H_{i,j}^\ell = \operatorname{Hom}(V_{\ell}, V_i \otimes V_j)}
... is translated to the CAS output ...
Semantic latex: H_{i,j}^\ell = \operatorname{Hom}(V_{\ell}, V_i \otimes V_j)
Confidence: 0
Mathematica
Translation:
Information
Symbol info
- (LaTeX -> Mathematica) The input LaTeX is invalid: The element Hom cannot be tagged as a function [Hom]
Tests
Symbolic
Numeric
SymPy
Translation:
Information
Symbol info
- (LaTeX -> SymPy) The input LaTeX is invalid: The element Hom cannot be tagged as a function [Hom]
Tests
Symbolic
Numeric
Maple
Translation:
Information
Symbol info
- (LaTeX -> Maple) The input LaTeX is invalid: The element Hom cannot be tagged as a function [Hom]
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Description
- multiplicity space
- attention to irreducible object
- tensor product
- isomorphism class of irreducible object
- monoidal category
- sum
Complete translation information:
{
"id" : "FORMULA_93d941fff385295b863f45ac533b0d5e",
"formula" : "H_{i,j}^\\ell = \\operatorname{Hom}(V_{\\ell}, V_i \\otimes V_j)",
"semanticFormula" : "H_{i,j}^\\ell = \\operatorname{Hom}(V_{\\ell}, V_i \\otimes V_j)",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "",
"translationInformation" : {
"tokenTranslations" : {
"Error" : "(LaTeX -> Mathematica) The input LaTeX is invalid: The element Hom cannot be tagged as a function [Hom]"
}
},
"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" : "",
"translationInformation" : {
"tokenTranslations" : {
"Error" : "(LaTeX -> SymPy) The input LaTeX is invalid: The element Hom cannot be tagged as a function [Hom]"
}
},
"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" : "",
"translationInformation" : {
"tokenTranslations" : {
"Error" : "(LaTeX -> Maple) The input LaTeX is invalid: The element Hom cannot be tagged as a function [Hom]"
}
},
"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" : 5,
"sentence" : 3,
"word" : 20
} ],
"includes" : [ "\\theta_{i}", "m_{i}", "j", "J_{i}", "V" ],
"isPartOf" : [ ],
"definiens" : [ {
"definition" : "multiplicity space",
"score" : 0.722
}, {
"definition" : "attention to irreducible object",
"score" : 0.6460746792928004
}, {
"definition" : "tensor product",
"score" : 0.6460746792928004
}, {
"definition" : "isomorphism class of irreducible object",
"score" : 0.5988174995334326
}, {
"definition" : "monoidal category",
"score" : 0.5988174995334326
}, {
"definition" : "sum",
"score" : 0.5500952380952381
} ]
}