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 \begin{pmatrix} j_1 & j_2 & j_3 \\ m_1 & m_2 & m_3 \end{pmatrix} \equiv \frac{(-1)^{j_1 - j_2 - m_3}}{\sqrt{2 j_3 + 1}} \langle j_1 \, m_1 \, j_2 \, m_2 | j_3 \, (-m_3) \rangle. }
... is translated to the CAS output ...
Semantic latex: \Wignerthreejsym{j_1}{j_2}{j_3}{m_1}{m_2}{m_3} \equiv \frac{(-1)^{j_1 - j_2 - m_3}}{\sqrt{2 j_3 + 1}} \langle j_1 m_1 j_2 m_2|j_3(- m_3) \rangle
Confidence: 0.66574040393935
Mathematica
Translation:
Information
Symbol info
- (LaTeX -> Mathematica) The input LaTeX is invalid: Unable to retrieve argument of the function Subscript[j, 1]
Tests
Symbolic
Numeric
SymPy
Translation:
Information
Symbol info
- (LaTeX -> SymPy) No translation possible for given token: Cannot extract information from feature set: \Wignerthreejsym [\Wignerthreejsym]
Tests
Symbolic
Numeric
Maple
Translation:
Information
Symbol info
- (LaTeX -> Maple) No translation possible for given token: Cannot extract information from feature set: \Wignerthreejsym [\Wignerthreejsym]
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Is part of
Complete translation information:
{
"id" : "FORMULA_12416bda9081be03adcaf1363ceb3516",
"formula" : "\\begin{pmatrix}\n j_1 & j_2 & j_3 \\\\\n m_1 & m_2 & m_3\n \\end{pmatrix}\n \\equiv\n \\frac{(-1)^{j_1 - j_2 - m_3}}{\\sqrt{2 j_3 + 1}}\n \\langle j_1 m_1 j_2 m_2 | j_3 (-m_3) \\rangle",
"semanticFormula" : "\\Wignerthreejsym{j_1}{j_2}{j_3}{m_1}{m_2}{m_3} \\equiv \\frac{(-1)^{j_1 - j_2 - m_3}}{\\sqrt{2 j_3 + 1}} \\langle j_1 m_1 j_2 m_2|j_3(- m_3) \\rangle",
"confidence" : 0.6657404039393544,
"translations" : {
"Mathematica" : {
"translation" : "",
"translationInformation" : {
"tokenTranslations" : {
"Error" : "(LaTeX -> Mathematica) The input LaTeX is invalid: Unable to retrieve argument of the function Subscript[j, 1]"
}
},
"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) No translation possible for given token: Cannot extract information from feature set: \\Wignerthreejsym [\\Wignerthreejsym]"
}
},
"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) No translation possible for given token: Cannot extract information from feature set: \\Wignerthreejsym [\\Wignerthreejsym]"
}
},
"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" : [ ],
"includes" : [ "j_{2}", "j_{3}", "j_{1}", "m_{3}", "\\begin{pmatrix} j_1 & j_2 & j_3 \\\\ m_1 & m_2 & m_3 \\end{pmatrix} \\equiv \\frac{(-1)^{j_1 - j_2 - m_3}}{\\sqrt{2 j_3 + 1}} \\langle j_1 \\, m_1 \\, j_2 \\, m_2 | j_3 \\, (-m_3) \\rangle", "j", "m_{2}", "m_{1}", "m" ],
"isPartOf" : [ "\\begin{pmatrix} j_1 & j_2 & j_3 \\\\ m_1 & m_2 & m_3 \\end{pmatrix} \\equiv \\frac{(-1)^{j_1 - j_2 - m_3}}{\\sqrt{2 j_3 + 1}} \\langle j_1 \\, m_1 \\, j_2 \\, m_2 | j_3 \\, (-m_3) \\rangle" ],
"definiens" : [ ]
}