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 w(z) = \left(1-z^2\right)^{\alpha-\frac{1}{2}}.}
... is translated to the CAS output ...
Semantic latex: w(z) =(1 - z^2)^{\alpha-\frac{1}{2}}
Confidence: 0
Mathematica
Translation: w[z] == (1 - (z)^(2))^(\[Alpha]-Divide[1,2])
Information
Sub Equations
- w[z] = (1 - (z)^(2))^(\[Alpha]-Divide[1,2])
Free variables
- \[Alpha]
- z
Symbol info
- Could be the second Feigenbaum constant.
But this system doesn't know how to translate it as a constant. It was translated as a general letter.
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Test expression: (w*(z))-((1 - (z)^(2))^(\[Alpha]-Divide[1,2]))
ERROR:
{
"result": "ERROR",
"testTitle": "Simple",
"testExpression": null,
"resultExpression": null,
"wasAborted": false,
"conditionallySuccessful": false
}
Numeric
SymPy
Translation: w(z) == (1 - (z)**(2))**(Symbol('alpha')-(1)/(2))
Information
Sub Equations
- w(z) = (1 - (z)**(2))**(Symbol('alpha')-(1)/(2))
Free variables
- Symbol('alpha')
- z
Symbol info
- Could be the second Feigenbaum constant.
But this system doesn't know how to translate it as a constant. It was translated as a general letter.
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
Maple
Translation: w(z) = (1 - (z)^(2))^(alpha -(1)/(2))
Information
Sub Equations
- w(z) = (1 - (z)^(2))^(alpha -(1)/(2))
Free variables
- alpha
- z
Symbol info
- Could be the second Feigenbaum constant.
But this system doesn't know how to translate it as a constant. It was translated as a general letter.
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Description
- Abramowitz
- polynomial
- respect to the weighting function
- Stegun
Complete translation information:
{
"id" : "FORMULA_1221772e3f18ba5237fca9a8ce5cca8e",
"formula" : "w(z) = \\left(1-z^2\\right)^{\\alpha-\\frac{1}{2}}",
"semanticFormula" : "w(z) =(1 - z^2)^{\\alpha-\\frac{1}{2}}",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "w[z] == (1 - (z)^(2))^(\\[Alpha]-Divide[1,2])",
"translationInformation" : {
"subEquations" : [ "w[z] = (1 - (z)^(2))^(\\[Alpha]-Divide[1,2])" ],
"freeVariables" : [ "\\[Alpha]", "z" ],
"tokenTranslations" : {
"\\alpha" : "Could be the second Feigenbaum constant.\nBut this system doesn't know how to translate it as a constant. It was translated as a general letter.\n",
"w" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary)."
}
},
"numericResults" : {
"overallResult" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"wasAborted" : false,
"crashed" : false,
"testCalculationsGroups" : [ ]
},
"symbolicResults" : {
"overallResult" : "ERROR",
"numberOfTests" : 1,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 1,
"crashed" : false,
"testCalculationsGroup" : [ {
"lhs" : "w*(z)",
"rhs" : "(1 - (z)^(2))^(\\[Alpha]-Divide[1,2])",
"testExpression" : "(w*(z))-((1 - (z)^(2))^(\\[Alpha]-Divide[1,2]))",
"testCalculations" : [ {
"result" : "ERROR",
"testTitle" : "Simple",
"testExpression" : null,
"resultExpression" : null,
"wasAborted" : false,
"conditionallySuccessful" : false
} ]
} ]
}
},
"SymPy" : {
"translation" : "w(z) == (1 - (z)**(2))**(Symbol('alpha')-(1)/(2))",
"translationInformation" : {
"subEquations" : [ "w(z) = (1 - (z)**(2))**(Symbol('alpha')-(1)/(2))" ],
"freeVariables" : [ "Symbol('alpha')", "z" ],
"tokenTranslations" : {
"\\alpha" : "Could be the second Feigenbaum constant.\nBut this system doesn't know how to translate it as a constant. It was translated as a general letter.\n",
"w" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary)."
}
}
},
"Maple" : {
"translation" : "w(z) = (1 - (z)^(2))^(alpha -(1)/(2))",
"translationInformation" : {
"subEquations" : [ "w(z) = (1 - (z)^(2))^(alpha -(1)/(2))" ],
"freeVariables" : [ "alpha", "z" ],
"tokenTranslations" : {
"\\alpha" : "Could be the second Feigenbaum constant.\nBut this system doesn't know how to translate it as a constant. It was translated as a general letter.\n",
"w" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary)."
}
}
}
},
"positions" : [ {
"section" : 2,
"sentence" : 0,
"word" : 25
} ],
"includes" : [ "\\alpha" ],
"isPartOf" : [ ],
"definiens" : [ {
"definition" : "Abramowitz",
"score" : 0.7125985104912714
}, {
"definition" : "polynomial",
"score" : 0.6859086196238077
}, {
"definition" : "respect to the weighting function",
"score" : 0.6859086196238077
}, {
"definition" : "Stegun",
"score" : 0.6859086196238077
} ]
}