LaTeX to CAS translator
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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 H_n}
... is translated to the CAS output ...
Semantic latex: H_n
Confidence: 0
Mathematica
Translation: Subscript[H, n]
Information
Sub Equations
- Subscript[H, n]
Free variables
- Subscript[H, n]
- n
Tests
Symbolic
Numeric
SymPy
Translation: Symbol('{H}_{n}')
Information
Sub Equations
- Symbol('{H}_{n}')
Free variables
- Symbol('{H}_{n}')
- n
Tests
Symbolic
Numeric
Maple
Translation: H[n]
Information
Sub Equations
- H[n]
Free variables
- H[n]
- n
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Is part of
Description
- example
- recurrence relation
- polynomial
- derivative
- change of variable
- result
Complete translation information:
{
"id" : "FORMULA_d7f295cb8499408dbee77e8cd68ae9af",
"formula" : "H_n",
"semanticFormula" : "H_n",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "Subscript[H, n]",
"translationInformation" : {
"subEquations" : [ "Subscript[H, n]" ],
"freeVariables" : [ "Subscript[H, n]", "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('{H}_{n}')",
"translationInformation" : {
"subEquations" : [ "Symbol('{H}_{n}')" ],
"freeVariables" : [ "Symbol('{H}_{n}')", "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" : "H[n]",
"translationInformation" : {
"subEquations" : [ "H[n]" ],
"freeVariables" : [ "H[n]", "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" : 2,
"sentence" : 11,
"word" : 2
} ],
"includes" : [ "n" ],
"isPartOf" : [ "H_1=-\\pi^{-1/2}y+2\\pi^{-1/2}y^2F(y)", "H_a = \\pi^{-1} \\operatorname{P.V.} \\int_{-\\infty}^\\infty {e^{-ax^2} \\over y-x} \\, dx", "H_a=2\\pi^{-1/2}F(y\\sqrt a)", "\\left . H_n=(-1)^n \\frac{\\partial^nH_a}{\\partial a^n} \\right |_{a=1}", "H_n = \\pi^{-1} \\operatorname{P.V.} \\int_{-\\infty}^\\infty \\frac{x^{2n}e^{-x^2}}{y-x} \\, dx", "H_n = P_1(y)+P_2(y)F(y)", "{\\partial^nH_a \\over \\partial a^n} = (-1)^n\\pi^{-1} \\operatorname{P.V.} \\int_{-\\infty}^\\infty \\frac{x^{2n}e^{-ax^2}}{y-x} \\, dx", "H_{n+1}(y) = y^2 H_n(y) - \\frac{(2n-1)!!}{\\sqrt{\\pi} 2^n} y" ],
"definiens" : [ {
"definition" : "example",
"score" : 0.6699230544300447
}, {
"definition" : "recurrence relation",
"score" : 0.6687181434333315
}, {
"definition" : "polynomial",
"score" : 0.5775629775816605
}, {
"definition" : "derivative",
"score" : 0.5701117521354073
}, {
"definition" : "change of variable",
"score" : 0.4968133815285695
}, {
"definition" : "result",
"score" : 0.451864458892933
} ]
}