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 (q)_n}
... is translated to the CAS output ...
Semantic latex: \Pochhammersym{q}{n}
Confidence: 0.90733333333333
Mathematica
Translation: Pochhammer[q, n]
Information
Sub Equations
- Pochhammer[q, n]
Free variables
- n
- q
Symbol info
- Pochhammer symbol; Example: \Pochhammersym{a}{n}
Will be translated to: Pochhammer[$0, $1] Relevant links to definitions: DLMF: http://dlmf.nist.gov/5.2#iii Mathematica: https://reference.wolfram.com/language/ref/Pochhammer.html
Tests
Symbolic
Numeric
SymPy
Translation:
Information
Symbol info
- (LaTeX -> SymPy) No translation possible for given token: Cannot extract information from feature set: \Pochhammersym [\Pochhammersym]
Tests
Symbolic
Numeric
Maple
Translation: pochhammer(q, n)
Information
Sub Equations
- pochhammer(q, n)
Free variables
- n
- q
Symbol info
- Pochhammer symbol; Example: \Pochhammersym{a}{n}
Will be translated to: pochhammer($0, $1) Relevant links to definitions: DLMF: http://dlmf.nist.gov/5.2#iii Maple: https://www.maplesoft.com/support/help/maple/view.aspx?path=pochhammer
Tests
Symbolic
Numeric
Dependency Graph Information
Is part of
Description
- double series
- Pochhammer symbol
- series
- Appell series
- function
- A system
- Appell
- definition
- partial differential equation
- solution
- system
- derivative
- derivative result from the definition
- system of differential equation
- system of second-order differential equation
Complete translation information:
{
"id" : "FORMULA_a522b876590f6e9f2fa229ee885e4acb",
"formula" : "(q)_n",
"semanticFormula" : "\\Pochhammersym{q}{n}",
"confidence" : 0.9073333333333333,
"translations" : {
"Mathematica" : {
"translation" : "Pochhammer[q, n]",
"translationInformation" : {
"subEquations" : [ "Pochhammer[q, n]" ],
"freeVariables" : [ "n", "q" ],
"tokenTranslations" : {
"\\Pochhammersym" : "Pochhammer symbol; Example: \\Pochhammersym{a}{n}\nWill be translated to: Pochhammer[$0, $1]\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/5.2#iii\nMathematica: https://reference.wolfram.com/language/ref/Pochhammer.html"
}
},
"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" : "",
"translationInformation" : {
"tokenTranslations" : {
"Error" : "(LaTeX -> SymPy) No translation possible for given token: Cannot extract information from feature set: \\Pochhammersym [\\Pochhammersym]"
}
},
"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" : "pochhammer(q, n)",
"translationInformation" : {
"subEquations" : [ "pochhammer(q, n)" ],
"freeVariables" : [ "n", "q" ],
"tokenTranslations" : {
"\\Pochhammersym" : "Pochhammer symbol; Example: \\Pochhammersym{a}{n}\nWill be translated to: pochhammer($0, $1)\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/5.2#iii\nMaple: https://www.maplesoft.com/support/help/maple/view.aspx?path=pochhammer"
}
},
"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" : 16
} ],
"includes" : [ ],
"isPartOf" : [ "F_1(a,b_1,b_2;c;x,y) = \\sum_{m,n=0}^\\infty \\frac{(a)_{m+n} (b_1)_m (b_2)_n} {(c)_{m+n} \\,m! \\,n!} \\,x^m y^n", "F_2(a,b_1,b_2;c_1,c_2;x,y) = \\sum_{m,n=0}^\\infty \\frac{(a)_{m+n} (b_1)_m (b_2)_n} {(c_1)_m (c_2)_n \\,m! \\,n!} \\,x^m y^n", "F_3(a_1,a_2,b_1,b_2;c;x,y) = \\sum_{m,n=0}^\\infty \\frac{(a_1)_m (a_2)_n (b_1)_m (b_2)_n} {(c)_{m+n} \\,m! \\,n!} \\,x^m y^n", "F_4(a,b;c_1,c_2;x,y) = \\sum_{m,n=0}^\\infty \\frac{(a)_{m+n} (b)_{m+n}} {(c_1)_m (c_2)_n \\,m! \\,n!} \\,x^m y^n", "\\frac {\\partial^n} {\\partial x^n} F_1(a,b_1,b_2,c; x,y) = \\frac {\\left(a\\right)_n \\left(b_1\\right)_n} {\\left(c\\right)_n} F_1(a+n,b_1+n,b_2,c+n; x,y)", "\\frac {\\partial^n} {\\partial y^n} F_1(a,b_1,b_2,c; x,y) = \\frac {\\left(a\\right)_n \\left(b_2\\right)_n} {\\left(c\\right)_n} F_1(a+n,b_1,b_2+n,c+n; x,y)" ],
"definiens" : [ {
"definition" : "double series",
"score" : 0.7861085151706015
}, {
"definition" : "Pochhammer symbol",
"score" : 0.722
}, {
"definition" : "series",
"score" : 0.7037873237320742
}, {
"definition" : "Appell series",
"score" : 0.6629879847031728
}, {
"definition" : "function",
"score" : 0.6621997121168637
}, {
"definition" : "A system",
"score" : 0.4063630428911055
}, {
"definition" : "Appell",
"score" : 0.4063630428911055
}, {
"definition" : "definition",
"score" : 0.4063630428911055
}, {
"definition" : "partial differential equation",
"score" : 0.4063630428911055
}, {
"definition" : "solution",
"score" : 0.4063630428911055
}, {
"definition" : "system",
"score" : 0.4063630428911055
}, {
"definition" : "derivative",
"score" : 0.319333892799869
}, {
"definition" : "derivative result from the definition",
"score" : 0.319333892799869
}, {
"definition" : "system of differential equation",
"score" : 0.319333892799869
}, {
"definition" : "system of second-order differential equation",
"score" : 0.319333892799869
} ]
}