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 x=cos(t+u)}

${\displaystyle x=cos(t+u)}$

... is translated to the CAS output ...

Semantic latex: x=cos(t+u)

Confidence: 0

Mathematica

Translation: x == cos[t + u]

Information

Sub Equations

x = cos[t + u]

Free variables

t

u

x

Symbol info

Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).

Tests

Symbolic

Test expression: (x)-(cos[t + u])

ERROR:

{
    "result": "ERROR",
    "testTitle": "Simple",
    "testExpression": null,
    "resultExpression": null,
    "wasAborted": false,
    "conditionallySuccessful": false
}

Numeric

SymPy

Translation: x == cos(t + u)

Information

Sub Equations

x = cos(t + u)

Free variables

t

u

x

Symbol info

Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).

Tests

Symbolic

Numeric

Maple

Translation: x = cos(t + u)

Information

Sub Equations

x = cos(t + u)

Free variables

t

u

x

Symbol info

Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).

Tests

Symbolic

Numeric

Dependency Graph Information

Description

polynomial

term of basic hypergeometric function

Pochhammer symbol

Complete translation information:

{
  "id" : "FORMULA_7036c76d0ea1aec0ed08f5754c66c2ee",
  "formula" : "x=cos(t+u)",
  "semanticFormula" : "x=cos(t+u)",
  "confidence" : 0.0,
  "translations" : {
    "Mathematica" : {
      "translation" : "x == cos[t + u]",
      "translationInformation" : {
        "subEquations" : [ "x = cos[t + u]" ],
        "freeVariables" : [ "t", "u", "x" ],
        "tokenTranslations" : {
          "cos" : "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" : "ERROR",
        "numberOfTests" : 1,
        "numberOfFailedTests" : 0,
        "numberOfSuccessfulTests" : 0,
        "numberOfSkippedTests" : 0,
        "numberOfErrorTests" : 1,
        "crashed" : false,
        "testCalculationsGroup" : [ {
          "lhs" : "x",
          "rhs" : "cos[t + u]",
          "testExpression" : "(x)-(cos[t + u])",
          "testCalculations" : [ {
            "result" : "ERROR",
            "testTitle" : "Simple",
            "testExpression" : null,
            "resultExpression" : null,
            "wasAborted" : false,
            "conditionallySuccessful" : false
          } ]
        } ]
      }
    },
    "SymPy" : {
      "translation" : "x == cos(t + u)",
      "translationInformation" : {
        "subEquations" : [ "x = cos(t + u)" ],
        "freeVariables" : [ "t", "u", "x" ],
        "tokenTranslations" : {
          "cos" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary)."
        }
      }
    },
    "Maple" : {
      "translation" : "x = cos(t + u)",
      "translationInformation" : {
        "subEquations" : [ "x = cos(t + u)" ],
        "freeVariables" : [ "t", "u", "x" ],
        "tokenTranslations" : {
          "cos" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary)."
        }
      }
    }
  },
  "positions" : [ {
    "section" : 1,
    "sentence" : 0,
    "word" : 16
  } ],
  "includes" : [ ],
  "isPartOf" : [ ],
  "definiens" : [ {
    "definition" : "polynomial",
    "score" : 0.6859086196238077
  }, {
    "definition" : "term of basic hypergeometric function",
    "score" : 0.6859086196238077
  }, {
    "definition" : "Pochhammer symbol",
    "score" : 0.5988174995334326
  } ]
}

Specify your own input

Formula input
Wikitext context	{{DISPLAYTITLE: Continuous ''q''-Hahn polynomials }} In mathematics, the '''continuous ''q''-Hahn polynomials''' are a family of basic hypergeometric [[orthogonal polynomials]] in the basic [[Askey scheme]]. {{harvs\|txt \| last1=Koekoek \| first1=Roelof \| last2=Lesky \| first2=Peter A. \| last3=Swarttouw \| first3=René F. \| title=Hypergeometric orthogonal polynomials and their q-analogues \| publisher=[[Springer-Verlag]] \| location=Berlin, New York \| series=Springer Monographs in Mathematics \| isbn=978-3-642-05013-8 \| doi=10.1007/978-3-642-05014-5 \| mr=2656096 \| year=2010\|loc=14}} give a detailed list of their properties. ==Definition== The polynomials are given in terms of [[basic hypergeometric function]]s and the [[Pochhammer symbol]] by <ref name=Roelof>Roelof p433,Springer 2010</ref> :<math>p_n(x;a,b,c\|q)=a^{-n}e^{-inu}(abe^{2iu},ac,ad;q)_n_4\Phi_3(q^{-n},abcdq^{n-1},ae^{i{(t+2u)}},ae^{-it};abe^{2iu},ac,ad;q;q)</math> <math>x=cos(t+u)</math> ==Orthogonality== {{Empty section\|date=September 2011}} ==Recurrence and difference relations== {{Empty section\|date=September 2011}} ==Rodrigues formula== {{Empty section\|date=September 2011}} ==Generating function== {{Empty section\|date=September 2011}} ==Relation to other polynomials== {{Empty section\|date=September 2011}} ==Gallery== {\| \|[[File:CONTINUOUS q hahn ABS COMPLEX3D Maple PLOT.gif\|thumb\|CONTINUOUS q hahn ABS COMPLEX3D Maple PLOT]] \|[[File:CONTINUOUS q hahn IIM COMPLEX3D Maple PLOT.gif\|thumb\|CONTINUOUS q hahn IIM COMPLEX3D Maple PLOT]] \|[[File:CONTINUOUS q hahn RE COMPLEX3D Maple PLOT.gif\|thumb\|CONTINUOUS q hahn RE COMPLEX3D Maple PLOT]] \|} {\| \|[[File:CONTINUOUS q hahn ABS densitu Maple PLOT.gif\|thumb\|CONTINUOUS q hahn ABS density Maple PLOT]] \|[[File:CONTINUOUS q hahn im densitu Maple PLOT.gif\|thumb\|CONTINUOUS q hahn im density Maple PLOT]] \|[[File:CONTINUOUS q hahn RE densitu Maple PLOT.gif\|thumb\|CONTINUOUS q hahn RE density Maple PLOT]] \|} ==References== {{Reflist}} {{Citation \| last1=Gasper \| first1=George \| last2=Rahman \| first2=Mizan \| title=Basic hypergeometric series \| publisher=[[Cambridge University Press]] \| edition=2nd \| series=Encyclopedia of Mathematics and its Applications \| isbn=978-0-521-83357-8 \| doi=10.2277/0521833574 \| mr=2128719 \| year=2004 \| volume=96}} {{Citation \| last1=Koekoek \| first1=Roelof \| last2=Lesky \| first2=Peter A. \| last3=Swarttouw \| first3=René F. \| title=Hypergeometric orthogonal polynomials and their q-analogues \| publisher=[[Springer-Verlag]] \| location=Berlin, New York \| series=Springer Monographs in Mathematics \| isbn=978-3-642-05013-8 \| doi=10.1007/978-3-642-05014-5 \| mr=2656096 \| year=2010}} {{dlmf\|id=18\|title=Chapter 18: Orthogonal Polynomials\|first=Tom H. \|last=Koornwinder\|first2=Roderick S. C.\|last2= Wong\|first3=Roelof \|last3=Koekoek\|\|first4=René F. \|last4=Swarttouw}} [[Category:Orthogonal polynomials]] [[Category:Q-analogs]] [[Category:Special hypergeometric functions]]
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LaTeX to CAS translator

Mathematica

Information

Tests

Symbolic

Numeric

SymPy

Information

Tests

Symbolic

Numeric

Maple

Information

Tests

Symbolic

Numeric

Dependency Graph Information

Specify your own input

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