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 K_v(x,y)}
... is translated to the CAS output ...
Semantic latex: K_v(x,y)
Confidence: 0
Mathematica
Translation: Subscript[K, v][x , y]
Information
Sub Equations
- Subscript[K, v][x , y]
Free variables
- v
- x
- y
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
SymPy
Translation: Symbol('{K}_{v}')(x , y)
Information
Sub Equations
- Symbol('{K}_{v}')(x , y)
Free variables
- v
- x
- y
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
Maple
Translation: K[v](x , y)
Information
Sub Equations
- K[v](x , y)
Free variables
- v
- x
- y
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
Dependency Graph Information
Is part of
Description
- type incomplete-version of Bessel function
- advantage
- associated Anger -- Weber function
- mathematician
- recurrence relation
- example
- type generalized-version of incomplete gamma function
- Digital Library of Mathematical Functions
Complete translation information:
{
"id" : "FORMULA_05d0385b82c74db7aeb6284efd0fa10f",
"formula" : "K_v(x,y)",
"semanticFormula" : "K_v(x,y)",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "Subscript[K, v][x , y]",
"translationInformation" : {
"subEquations" : [ "Subscript[K, v][x , y]" ],
"freeVariables" : [ "v", "x", "y" ],
"tokenTranslations" : {
"K" : "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('{K}_{v}')(x , y)",
"translationInformation" : {
"subEquations" : [ "Symbol('{K}_{v}')(x , y)" ],
"freeVariables" : [ "v", "x", "y" ],
"tokenTranslations" : {
"K" : "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" : "K[v](x , y)",
"translationInformation" : {
"subEquations" : [ "K[v](x , y)" ],
"freeVariables" : [ "v", "x", "y" ],
"tokenTranslations" : {
"K" : "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" : 1,
"sentence" : 0,
"word" : 17
}, {
"section" : 2,
"sentence" : 0,
"word" : 0
} ],
"includes" : [ ],
"isPartOf" : [ "K_v(x,y)=\\int_1^\\infty\\frac{e^{-xt-\\frac{y}{t}}}{t^{v+1}}dt", "K_v(x,y)=x^v\\Gamma(-v,x;xy)", "K_v(x,y)+K_{-v}(y,x)=\\frac{2x^\\frac{v}{2}}{y^\\frac{v}{2}}K_v(2\\sqrt{xy})", "\\mathbf{A}_\\nu(z)=\\frac{1}{\\pi}\\int_0^\\infty e^{-\\nu t-z\\sinh t}dt=\\frac{1}{\\pi}\\int_0^\\infty e^{-(\\nu+1)t-\\frac{ze^t}{2}+\\frac{z}{2e^t}}d(e^t)=\\frac{1}{\\pi}\\int_1^\\infty\\frac{e^{-\\frac{zt}{2}+\\frac{z}{2t}}}{t^{\\nu+1}}dt=\\frac{1}{\\pi}K_\\nu\\left(\\frac{z}{2},-\\frac{z}{2}\\right)", "xK_{v-1}(x,y)+vK_v(x,y)-yK_{v+1}(x,y)=e^{-x-y}" ],
"definiens" : [ {
"definition" : "type incomplete-version of Bessel function",
"score" : 0.8487695096654806
}, {
"definition" : "advantage",
"score" : 0.6954080343007951
}, {
"definition" : "associated Anger -- Weber function",
"score" : 0.6288842031023242
}, {
"definition" : "mathematician",
"score" : 0.6042528684491243
}, {
"definition" : "recurrence relation",
"score" : 0.5775629775816605
}, {
"definition" : "example",
"score" : 0.5329047619047619
}, {
"definition" : "type generalized-version of incomplete gamma function",
"score" : 0.4904718574912855
}, {
"definition" : "Digital Library of Mathematical Functions",
"score" : 0.48771694939097315
} ]
}