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 \frac{1-\left(\frac{x}{x_{i}}\right)^{k}}{x-x_{i}}}
... is translated to the CAS output ...
Semantic latex: \frac{1 -(\frac{x}{x_{i}})^{k}}{x-x_{i}}
Confidence: 0
Mathematica
Translation: Divide[1 -(Divide[x,Subscript[x, i]])^(k),x - Subscript[x, i]]
Information
Sub Equations
- Divide[1 -(Divide[x,Subscript[x, i]])^(k),x - Subscript[x, i]]
Free variables
- Subscript[x, i]
- i
- k
- x
Symbol info
- You use a typical letter for a constant [the imaginary unit == the principal square root of -1].
We keep it like it is! But you should know that Mathematica uses I for this constant. If you want to translate it as a constant, use the corresponding DLMF macro \iunit
Tests
Symbolic
Numeric
SymPy
Translation: (1 -((x)/(Symbol('{x}_{i}')))**(k))/(x - Symbol('{x}_{i}'))
Information
Sub Equations
- (1 -((x)/(Symbol('{x}_{i}')))**(k))/(x - Symbol('{x}_{i}'))
Free variables
- Symbol('{x}_{i}')
- i
- k
- x
Symbol info
- You use a typical letter for a constant [the imaginary unit == the principal square root of -1].
We keep it like it is! But you should know that SymPy uses I for this constant. If you want to translate it as a constant, use the corresponding DLMF macro \iunit
Tests
Symbolic
Numeric
Maple
Translation: (1 -((x)/(x[i]))^(k))/(x - x[i])
Information
Sub Equations
- (1 -((x)/(x[i]))^(k))/(x - x[i])
Free variables
- i
- k
- x
- x[i]
Symbol info
- You use a typical letter for a constant [the imaginary unit == the principal square root of -1].
We keep it like it is! But you should know that Maple uses I for this constant. If you want to translate it as a constant, use the corresponding DLMF macro \iunit
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Is part of
Description
- yield
- polynomial of degree
- integral expression for the weight
- integrand
- L'Hôpital 's rule
- limit
Complete translation information:
{
"id" : "FORMULA_911513a3e1bf881ba9fea84b3e24f26c",
"formula" : "\\frac{1-\\left(\\frac{x}{x_{i}}\\right)^{k}}{x-x_{i}}",
"semanticFormula" : "\\frac{1 -(\\frac{x}{x_{i}})^{k}}{x-x_{i}}",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "Divide[1 -(Divide[x,Subscript[x, i]])^(k),x - Subscript[x, i]]",
"translationInformation" : {
"subEquations" : [ "Divide[1 -(Divide[x,Subscript[x, i]])^(k),x - Subscript[x, i]]" ],
"freeVariables" : [ "Subscript[x, i]", "i", "k", "x" ],
"tokenTranslations" : {
"i" : "You use a typical letter for a constant [the imaginary unit == the principal square root of -1].\nWe keep it like it is! But you should know that Mathematica uses I for this constant.\nIf you want to translate it as a constant, use the corresponding DLMF macro \\iunit\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" : "(1 -((x)/(Symbol('{x}_{i}')))**(k))/(x - Symbol('{x}_{i}'))",
"translationInformation" : {
"subEquations" : [ "(1 -((x)/(Symbol('{x}_{i}')))**(k))/(x - Symbol('{x}_{i}'))" ],
"freeVariables" : [ "Symbol('{x}_{i}')", "i", "k", "x" ],
"tokenTranslations" : {
"i" : "You use a typical letter for a constant [the imaginary unit == the principal square root of -1].\nWe keep it like it is! But you should know that SymPy uses I for this constant.\nIf you want to translate it as a constant, use the corresponding DLMF macro \\iunit\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" : "(1 -((x)/(x[i]))^(k))/(x - x[i])",
"translationInformation" : {
"subEquations" : [ "(1 -((x)/(x[i]))^(k))/(x - x[i])" ],
"freeVariables" : [ "i", "k", "x", "x[i]" ],
"tokenTranslations" : {
"i" : "You use a typical letter for a constant [the imaginary unit == the principal square root of -1].\nWe keep it like it is! But you should know that Maple uses I for this constant.\nIf you want to translate it as a constant, use the corresponding DLMF macro \\iunit\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" : 5,
"sentence" : 4,
"word" : 37
} ],
"includes" : [ "w_{i}", "x_{i}", "x_i", "w_i", "i", "x", "x^{k}", "x_{j}", "x_j", "1" ],
"isPartOf" : [ "\\frac{1}{x-x_i} = \\frac{1 - \\left(\\frac{x}{x_i}\\right)^{k}}{x - x_i} + \\left(\\frac{x}{x_i}\\right)^{k} \\frac{1}{x - x_i}" ],
"definiens" : [ {
"definition" : "yield",
"score" : 0.8426021531523621
}, {
"definition" : "polynomial of degree",
"score" : 0.722
}, {
"definition" : "integral expression for the weight",
"score" : 0.6687181434333315
}, {
"definition" : "integrand",
"score" : 0.6687181434333315
}, {
"definition" : "L'Hôpital 's rule",
"score" : 0.6687181434333315
}, {
"definition" : "limit",
"score" : 0.6687181434333315
} ]
}