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 \Omega}
... is translated to the CAS output ...
Semantic latex: \Omega
Confidence: 0
Mathematica
Translation: \[CapitalOmega]
Information
Sub Equations
- \[CapitalOmega]
Free variables
- \[CapitalOmega]
Symbol info
- Could be The omega constant == the Adamchik constant.
But this system doesn't know how to translate it as a constant. It was translated as a general letter.
Tests
Symbolic
Numeric
SymPy
Translation: Symbol('Omega')
Information
Sub Equations
- Symbol('Omega')
Free variables
- Symbol('Omega')
Symbol info
- Could be The omega constant == the Adamchik constant.
But this system doesn't know how to translate it as a constant. It was translated as a general letter.
Tests
Symbolic
Numeric
Maple
Translation: Omega
Information
Sub Equations
- Omega
Free variables
- Omega
Symbol info
- Could be The omega constant == the Adamchik constant.
But this system doesn't know how to translate it as a constant. It was translated as a general letter.
Tests
Symbolic
Numeric
Dependency Graph Information
Is part of
Description
- equation
- constant
- ellipsoidal equation
- ellipsoidal wave equation
- elliptic modulus of the Jacobian elliptic function
- general form of Lamé 's equation
- Lamé equation
- Mathieu equation
- term
- asymptotic expansion
- boundary condition
- eigenvalue
- Ince
- Müller
- odd integer
Complete translation information:
{
"id" : "FORMULA_2e9ef3d6ef62a48d70720728d3e90e31",
"formula" : "\\Omega",
"semanticFormula" : "\\Omega",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "\\[CapitalOmega]",
"translationInformation" : {
"subEquations" : [ "\\[CapitalOmega]" ],
"freeVariables" : [ "\\[CapitalOmega]" ],
"tokenTranslations" : {
"\\Omega" : "Could be The omega constant == the Adamchik constant.\nBut this system doesn't know how to translate it as a constant. It was translated as a general letter.\n"
}
},
"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" : "Symbol('Omega')",
"translationInformation" : {
"subEquations" : [ "Symbol('Omega')" ],
"freeVariables" : [ "Symbol('Omega')" ],
"tokenTranslations" : {
"\\Omega" : "Could be The omega constant == the Adamchik constant.\nBut this system doesn't know how to translate it as a constant. It was translated as a general letter.\n"
}
},
"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" : "Omega",
"translationInformation" : {
"subEquations" : [ "Omega" ],
"freeVariables" : [ "Omega" ],
"tokenTranslations" : {
"\\Omega" : "Could be The omega constant == the Adamchik constant.\nBut this system doesn't know how to translate it as a constant. It was translated as a general letter.\n"
}
},
"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" : 4,
"word" : 48
} ],
"includes" : [ ],
"isPartOf" : [ "\\frac{d^2y}{dx^2} + (\\Lambda - \\kappa^2 \\operatorname{sn}^2x - \\Omega^2k^4 \\operatorname{sn}^4x)y = 0", "\\Omega = 0", "\\Omega = 0, k = 0, \\kappa = 2h, \\Lambda -2h^2 = \\lambda, x= z \\pm \\frac{\\pi}{2}", "\\begin{align}\\Lambda(q) = {} & q\\kappa - \\frac{1}{2^3}(1+k^2)(q^2+1) - \\frac{q}{2^6\\kappa}\\{(1+k^2)^2(q^2+3) - 4k^2(q^2+5)\\} \\\\[6pt]& {} -\\frac{1}{2^{10}\\kappa^2} \\Big\\{(1+k^2)^3(5q^4+34q^2+9) - 4k^2(1+k^2)(5q^4+34q^2+9) \\\\[6pt]& {} - 384\\Omega^2k^4(q^2+1)\\Big\\} - \\cdots ,\\end{align}" ],
"definiens" : [ {
"definition" : "equation",
"score" : 0.7751754969920388
}, {
"definition" : "constant",
"score" : 0.722
}, {
"definition" : "ellipsoidal equation",
"score" : 0.6601229053380933
}, {
"definition" : "ellipsoidal wave equation",
"score" : 0.6601229053380933
}, {
"definition" : "elliptic modulus of the Jacobian elliptic function",
"score" : 0.6601229053380933
}, {
"definition" : "general form of Lamé 's equation",
"score" : 0.6601229053380933
}, {
"definition" : "Lamé equation",
"score" : 0.6346379254673428
}, {
"definition" : "Mathieu equation",
"score" : 0.5689677394864224
}, {
"definition" : "term",
"score" : 0.3999578143176412
}, {
"definition" : "asymptotic expansion",
"score" : 0.31698488450476003
}, {
"definition" : "boundary condition",
"score" : 0.31698488450476003
}, {
"definition" : "eigenvalue",
"score" : 0.31698488450476003
}, {
"definition" : "Ince",
"score" : 0.31698488450476003
}, {
"definition" : "Müller",
"score" : 0.31698488450476003
}, {
"definition" : "odd integer",
"score" : 0.31698488450476003
} ]
}