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 \tau=\frac{\omega_2}{\omega_1}}
... is translated to the CAS output ...
Semantic latex: \tau=\frac{\omega_2}{\omega_1}
Confidence: 0
Mathematica
Translation: \[Tau] == Divide[Subscript[\[Omega], 2],Subscript[\[Omega], 1]]
Information
Sub Equations
- \[Tau] = Divide[Subscript[\[Omega], 2],Subscript[\[Omega], 1]]
Free variables
- Subscript[\[Omega], 1]
- Subscript[\[Omega], 2]
- \[Tau]
Tests
Symbolic
Numeric
SymPy
Translation: Symbol('tau') == (Symbol('{Symbol('omega')}_{2}'))/(Symbol('{Symbol('omega')}_{1}'))
Information
Sub Equations
- Symbol('tau') = (Symbol('{Symbol('omega')}_{2}'))/(Symbol('{Symbol('omega')}_{1}'))
Free variables
- Symbol('tau')
- Symbol('{Symbol('omega')}_{1}')
- Symbol('{Symbol('omega')}_{2}')
Tests
Symbolic
Numeric
Maple
Translation: tau = (omega[2])/(omega[1])
Information
Sub Equations
- tau = (omega[2])/(omega[1])
Free variables
- omega[1]
- omega[2]
- tau
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Description
- fundamental pair of period
- term of the Dedekind eta function
- term of the half-period
- theta function
- nome
- Weierstrass 's elliptic function
Complete translation information:
{
"id" : "FORMULA_a51a3da31cb3727bdb11c5de07a8ee09",
"formula" : "\\tau=\\frac{\\omega_2}{\\omega_1}",
"semanticFormula" : "\\tau=\\frac{\\omega_2}{\\omega_1}",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "\\[Tau] == Divide[Subscript[\\[Omega], 2],Subscript[\\[Omega], 1]]",
"translationInformation" : {
"subEquations" : [ "\\[Tau] = Divide[Subscript[\\[Omega], 2],Subscript[\\[Omega], 1]]" ],
"freeVariables" : [ "Subscript[\\[Omega], 1]", "Subscript[\\[Omega], 2]", "\\[Tau]" ]
},
"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('tau') == (Symbol('{Symbol('omega')}_{2}'))/(Symbol('{Symbol('omega')}_{1}'))",
"translationInformation" : {
"subEquations" : [ "Symbol('tau') = (Symbol('{Symbol('omega')}_{2}'))/(Symbol('{Symbol('omega')}_{1}'))" ],
"freeVariables" : [ "Symbol('tau')", "Symbol('{Symbol('omega')}_{1}')", "Symbol('{Symbol('omega')}_{2}')" ]
},
"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" : "tau = (omega[2])/(omega[1])",
"translationInformation" : {
"subEquations" : [ "tau = (omega[2])/(omega[1])" ],
"freeVariables" : [ "omega[1]", "omega[2]", "tau" ]
},
"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" : 2,
"sentence" : 1,
"word" : 45
} ],
"includes" : [ "\\tau", "\\omega" ],
"isPartOf" : [ ],
"definiens" : [ {
"definition" : "fundamental pair of period",
"score" : 0.7125985104912714
}, {
"definition" : "term of the Dedekind eta function",
"score" : 0.6460746792928004
}, {
"definition" : "term of the half-period",
"score" : 0.5500952380952381
}, {
"definition" : "theta function",
"score" : 0.5500952380952381
}, {
"definition" : "nome",
"score" : 0.5049074255814494
}, {
"definition" : "Weierstrass 's elliptic function",
"score" : 0.4364921621676916
} ]
}