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 R_N(x) = O\left(x^{1 - 2N} e^{-x^2}\right)}
... is translated to the CAS output ...
Semantic latex: R_N(x) = O(x^{1 - 2N} \expe^{-x^2})
Confidence: 0
Mathematica
Translation: Subscript[R, N][x] == O[(x)^(1 - 2*N)* Exp[- (x)^(2)]]
Information
Sub Equations
- Subscript[R, N][x] = O[(x)^(1 - 2*N)* Exp[- (x)^(2)]]
Free variables
- N
- x
Symbol info
- Recognizes e with power as the exponential function. It was translated as a function.
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
SymPy
Translation: Symbol('{R}_{N}')(x) == O((x)**(1 - 2*N)* exp(- (x)**(2)))
Information
Sub Equations
- Symbol('{R}_{N}')(x) = O((x)**(1 - 2*N)* exp(- (x)**(2)))
Free variables
- N
- x
Symbol info
- Recognizes e with power as the exponential function. It was translated as a function.
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
Maple
Translation: R[N](x) = O((x)^(1 - 2*N)* exp(- (x)^(2)))
Information
Sub Equations
- R[N](x) = O((x)^(1 - 2*N)* exp(- (x)^(2)))
Free variables
- N
- x
Symbol info
- Recognizes e with power as the exponential function. It was translated as a function.
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Description
- remainder
- Landau notation
- one
- meaning as asymptotic expansion
- finite
- series
Complete translation information:
{
"id" : "FORMULA_d22fcf17559bdb137ac6d9a4bbf35430",
"formula" : "R_N(x) = O\\left(x^{1 - 2N} e^{-x^2}\\right)",
"semanticFormula" : "R_N(x) = O(x^{1 - 2N} \\expe^{-x^2})",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "Subscript[R, N][x] == O[(x)^(1 - 2*N)* Exp[- (x)^(2)]]",
"translationInformation" : {
"subEquations" : [ "Subscript[R, N][x] = O[(x)^(1 - 2*N)* Exp[- (x)^(2)]]" ],
"freeVariables" : [ "N", "x" ],
"tokenTranslations" : {
"\\expe" : "Recognizes e with power as the exponential function. It was translated as a function.",
"R" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary).",
"O" : "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" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"crashed" : false,
"testCalculationsGroup" : [ ]
}
},
"SymPy" : {
"translation" : "Symbol('{R}_{N}')(x) == O((x)**(1 - 2*N)* exp(- (x)**(2)))",
"translationInformation" : {
"subEquations" : [ "Symbol('{R}_{N}')(x) = O((x)**(1 - 2*N)* exp(- (x)**(2)))" ],
"freeVariables" : [ "N", "x" ],
"tokenTranslations" : {
"\\expe" : "Recognizes e with power as the exponential function. It was translated as a function.",
"R" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary).",
"O" : "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" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"crashed" : false,
"testCalculationsGroup" : [ ]
}
},
"Maple" : {
"translation" : "R[N](x) = O((x)^(1 - 2*N)* exp(- (x)^(2)))",
"translationInformation" : {
"subEquations" : [ "R[N](x) = O((x)^(1 - 2*N)* exp(- (x)^(2)))" ],
"freeVariables" : [ "N", "x" ],
"tokenTranslations" : {
"\\expe" : "Recognizes e with power as the exponential function. It was translated as a function.",
"R" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary).",
"O" : "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" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"crashed" : false,
"testCalculationsGroup" : [ ]
}
}
},
"positions" : [ {
"section" : 8,
"sentence" : 2,
"word" : 32
} ],
"includes" : [ "e^{-t^2}", "x", "e", "x)", "x) =", "N" ],
"isPartOf" : [ ],
"definiens" : [ {
"definition" : "remainder",
"score" : 0.7125985104912714
}, {
"definition" : "Landau notation",
"score" : 0.6859086196238077
}, {
"definition" : "one",
"score" : 0.6460746792928004
}, {
"definition" : "meaning as asymptotic expansion",
"score" : 0.5988174995334326
}, {
"definition" : "finite",
"score" : 0.5500952380952381
}, {
"definition" : "series",
"score" : 0.5500952380952381
} ]
}