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 \Phi_{i,j}^{k,m}: \bigoplus_{\ell} H_{i,j}^\ell \otimes H_{\ell,k}^m \to \bigoplus_n H_{i,n}^m \otimes H_{j,k}^n}
... is translated to the CAS output ...
Semantic latex: \Phi_{i,j}^{k,m}: \bigoplus_{\ell} H_{i,j}^\ell \otimes H_{\ell,k}^m \to \bigoplus_n H_{i,n}^m \otimes H_{j,k}^n
Confidence: 0
Mathematica
Translation:
Information
Symbol info
- (LaTeX -> Mathematica) An unknown or missing element occurred: Unknown MathTerm Tag: colon for : [:]
Tests
Symbolic
Numeric
SymPy
Translation:
Information
Symbol info
- (LaTeX -> SymPy) An unknown or missing element occurred: Unknown MathTerm Tag: colon for : [:]
Tests
Symbolic
Numeric
Maple
Translation:
Information
Symbol info
- (LaTeX -> Maple) An unknown or missing element occurred: Unknown MathTerm Tag: colon for : [:]
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Description
- vector space isomorphism
- 6j symbol
- associativity isomorphism
- canonical basis element
- case of SU
- component
- component map
- dimension
- multiplicity space
- number
- ordinary matrix coefficient
- symbol
- traditional setting
Complete translation information:
{
"id" : "FORMULA_6894c11ad3446346113fce9039e795db",
"formula" : "\\Phi_{i,j}^{k,m}: \\bigoplus_{\\ell} H_{i,j}^\\ell \\otimes H_{\\ell,k}^m \\to \\bigoplus_n H_{i,n}^m \\otimes H_{j,k}^n",
"semanticFormula" : "\\Phi_{i,j}^{k,m}: \\bigoplus_{\\ell} H_{i,j}^\\ell \\otimes H_{\\ell,k}^m \\to \\bigoplus_n H_{i,n}^m \\otimes H_{j,k}^n",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "",
"translationInformation" : {
"tokenTranslations" : {
"Error" : "(LaTeX -> Mathematica) An unknown or missing element occurred: Unknown MathTerm Tag: colon for : [:]"
}
},
"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) An unknown or missing element occurred: Unknown MathTerm Tag: colon for : [:]"
}
},
"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) An unknown or missing element occurred: Unknown MathTerm Tag: colon for : [:]"
}
},
"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" : 4,
"word" : 11
} ],
"includes" : [ "j" ],
"isPartOf" : [ ],
"definiens" : [ {
"definition" : "vector space isomorphism",
"score" : 0.722
}, {
"definition" : "6j symbol",
"score" : 0.6687181434333315
}, {
"definition" : "associativity isomorphism",
"score" : 0.6687181434333315
}, {
"definition" : "canonical basis element",
"score" : 0.6687181434333315
}, {
"definition" : "case of SU",
"score" : 0.6687181434333315
}, {
"definition" : "component",
"score" : 0.6687181434333315
}, {
"definition" : "component map",
"score" : 0.6687181434333315
}, {
"definition" : "dimension",
"score" : 0.6687181434333315
}, {
"definition" : "multiplicity space",
"score" : 0.6687181434333315
}, {
"definition" : "number",
"score" : 0.6687181434333315
}, {
"definition" : "ordinary matrix coefficient",
"score" : 0.6687181434333315
}, {
"definition" : "symbol",
"score" : 0.6687181434333315
}, {
"definition" : "traditional setting",
"score" : 0.6687181434333315
} ]
}