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 E[h(y)] \approx \frac{1}{\sqrt{\pi}} \sum_{i=1}^n w_i h(\sqrt{2} \sigma x_i + \mu)}
... is translated to the CAS output ...
Semantic latex: E [h(y)] \approx \frac{1}{\sqrt{\cpi}} \sum_{i=1}^n w_i h(\sqrt{2} \sigma x_i + \mu)
Confidence: 0
Mathematica
Translation:
Information
Symbol info
- (LaTeX -> Mathematica) No translation possible for given token: Unknown relation. Cannot translate: \approx [\approx]
Tests
Symbolic
Numeric
SymPy
Translation:
Information
Symbol info
- (LaTeX -> SymPy) No translation possible for given token: Unknown relation. Cannot translate: \approx [\approx]
Tests
Symbolic
Numeric
Maple
Translation:
Information
Symbol info
- (LaTeX -> Maple) No translation possible for given token: Unknown relation. Cannot translate: \approx [\approx]
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Description
- expectation
- integral
- integration by substitution
- variable
- Hermite polynomial
Complete translation information:
{
"id" : "FORMULA_dc84fcf54d7336804f1dbd88cad18715",
"formula" : "E[h(y)] \\approx \\frac{1}{\\sqrt{\\pi}} \\sum_{i=1}^n w_i h(\\sqrt{2} \\sigma x_i + \\mu)",
"semanticFormula" : "E [h(y)] \\approx \\frac{1}{\\sqrt{\\cpi}} \\sum_{i=1}^n w_i h(\\sqrt{2} \\sigma x_i + \\mu)",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "",
"translationInformation" : {
"tokenTranslations" : {
"Error" : "(LaTeX -> Mathematica) No translation possible for given token: Unknown relation. Cannot translate: \\approx [\\approx]"
}
},
"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: Unknown relation. Cannot translate: \\approx [\\approx]"
}
},
"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: Unknown relation. Cannot translate: \\approx [\\approx]"
}
},
"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" : 1,
"word" : 43
} ],
"includes" : [ "y", "h", "w_{i}", "x_{i}", "n" ],
"isPartOf" : [ ],
"definiens" : [ {
"definition" : "expectation",
"score" : 0.5500952380952381
}, {
"definition" : "integral",
"score" : 0.5500952380952381
}, {
"definition" : "integration by substitution",
"score" : 0.4364921621676916
}, {
"definition" : "variable",
"score" : 0.4145803640193895
}, {
"definition" : "Hermite polynomial",
"score" : 0.39967857142857144
} ]
}