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 B_k}
... is translated to the CAS output ...
Semantic latex: \BernoullinumberB{k}
Confidence: 0.96037217676781
Mathematica
Translation: BernoulliB[k]
Information
Sub Equations
- BernoulliB[k]
Free variables
- k
Symbol info
- Bernoulli polynomial; Example: \BernoullinumberB{n}
Will be translated to: BernoulliB[$0] Relevant links to definitions: DLMF: http://dlmf.nist.gov/24.2#i Mathematica: https://reference.wolfram.com/language/ref/BernoulliB.html
Tests
Symbolic
Numeric
SymPy
Translation:
Information
Symbol info
- (LaTeX -> SymPy) No translation possible for given token: Cannot extract information from feature set: \BernoullinumberB [\BernoullinumberB]
Tests
Symbolic
Numeric
Maple
Translation: bernoulli(k)
Information
Sub Equations
- bernoulli(k)
Free variables
- k
Symbol info
- Bernoulli polynomial; Example: \BernoullinumberB{n}
Will be translated to: bernoulli($0) Relevant links to definitions: DLMF: http://dlmf.nist.gov/24.2#i Maple: https://www.maplesoft.com/support/help/maple/view.aspx?path=bernoulli
Tests
Symbolic
Numeric
Dependency Graph Information
Is part of
Description
- Bernoulli number
- note
- Glaisher -- Kinkelin
- asymptotic expansion
- logarithm
- convention
- time of Barnes
- Barnes
- equivalent formula
- simplification
- (1/2) - `` z
- previous reflection formula
- Bernoulli polynomial
Complete translation information:
{
"id" : "FORMULA_7bd1b4936c9b980674991d3f1633613a",
"formula" : "B_k",
"semanticFormula" : "\\BernoullinumberB{k}",
"confidence" : 0.9603721767678143,
"translations" : {
"Mathematica" : {
"translation" : "BernoulliB[k]",
"translationInformation" : {
"subEquations" : [ "BernoulliB[k]" ],
"freeVariables" : [ "k" ],
"tokenTranslations" : {
"\\BernoullinumberB" : "Bernoulli polynomial; Example: \\BernoullinumberB{n}\nWill be translated to: BernoulliB[$0]\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/24.2#i\nMathematica: https://reference.wolfram.com/language/ref/BernoulliB.html"
}
},
"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: \\BernoullinumberB [\\BernoullinumberB]"
}
},
"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" : "bernoulli(k)",
"translationInformation" : {
"subEquations" : [ "bernoulli(k)" ],
"freeVariables" : [ "k" ],
"tokenTranslations" : {
"\\BernoullinumberB" : "Bernoulli polynomial; Example: \\BernoullinumberB{n}\nWill be translated to: bernoulli($0)\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/24.2#i\nMaple: https://www.maplesoft.com/support/help/maple/view.aspx?path=bernoulli"
}
},
"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" : 7,
"sentence" : 0,
"word" : 18
} ],
"includes" : [ ],
"isPartOf" : [ "\\begin{align}\\log G(z+1) = {} & \\frac{z^2}{2} \\log z - \\frac{3z^2}{4} + \\frac{z}{2}\\log 2\\pi -\\frac{1}{12} \\log z \\\\ & {} + \\left(\\frac{1}{12}-\\log A \\right) +\\sum_{k=1}^N \\frac{B_{2k + 2}}{4k\\left(k + 1\\right)z^{2k}}+O\\left(\\frac{1}{z^{2N + 2}}\\right).\\end{align}", "\\log \\Gamma \\left(\\frac{1}{2}-z \\right) + B_1(z) \\log 2\\pi+\\frac{1}{2}\\log 2+\\pi \\int_0^z B_1(x) \\tan \\pi x \\,dx", "B_{2k}", "(-1)^{k+1} B_k" ],
"definiens" : [ {
"definition" : "Bernoulli number",
"score" : 0.8811165303034428
}, {
"definition" : "note",
"score" : 0.6699230544300447
}, {
"definition" : "Glaisher -- Kinkelin",
"score" : 0.6687181434333315
}, {
"definition" : "asymptotic expansion",
"score" : 0.6288842031023242
}, {
"definition" : "logarithm",
"score" : 0.6288842031023242
}, {
"definition" : "convention",
"score" : 0.6033992232315736
}, {
"definition" : "time of Barnes",
"score" : 0.6033992232315736
}, {
"definition" : "Barnes",
"score" : 0.5329047619047619
}, {
"definition" : "equivalent formula",
"score" : 0.28756158979232216
}, {
"definition" : "simplification",
"score" : 0.28756158979232216
}, {
"definition" : "(1/2) - `` z",
"score" : 0.19158214859475978
}, {
"definition" : "previous reflection formula",
"score" : 0.19158214859475978
}, {
"definition" : "Bernoulli polynomial",
"score" : 0.14639433608097108
} ]
}