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 p_n(x;a,b,c\mid q)=\frac{(ab,ac;q)_n}{a^n}\cdot {_3\Phi_2}(q^-n,ae^{i\theta},ae^{-i\theta}; ab, ac \mid q;q)}

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

Semantic latex: p_n(x ; a , b , c \mid q) = \frac{(ab,ac;q)_n}{a^n} \cdot{_3\Phi_2}(q^- n , ae^{\iunit \theta} , ae^{- \iunit \theta} ; ab , ac \mid q ; q)

Confidence: 0

Mathematica

Translation:

Information

Symbol info

  • (LaTeX -> Mathematica) No translation possible for given token: Unknown relation. Cannot translate: \mid [\mid]

Tests

Symbolic
Numeric

SymPy

Translation:

Information

Symbol info

  • (LaTeX -> SymPy) No translation possible for given token: Unknown relation. Cannot translate: \mid [\mid]

Tests

Symbolic
Numeric

Maple

Translation:

Information

Symbol info

  • (LaTeX -> Maple) No translation possible for given token: Unknown relation. Cannot translate: \mid [\mid]

Tests

Symbolic
Numeric

Dependency Graph Information

Description

  • q
  • ab
  • ac
  • ae
  • mid q
  • n
  • theta
  • TeX Source
  • b
  • c
  • cdot
  • Formula
  • Gold ID
  • i
  • link
  • p_n
  • x

Complete translation information:

{
  "id" : "FORMULA_95daf919f18506606090e49a38d1c1a6",
  "formula" : "p_n(x;a,b,c\\mid q)=\\frac{(ab,ac;q)_n}{a^n}\\cdot {_3\\Phi_2}(q^-n,ae^{i\\theta},ae^{-i\\theta}; ab, ac \\mid q;q)",
  "semanticFormula" : "p_n(x ; a , b , c \\mid q) = \\frac{(ab,ac;q)_n}{a^n} \\cdot{_3\\Phi_2}(q^- n , ae^{\\iunit \\theta} , ae^{- \\iunit \\theta} ; ab , ac \\mid q ; q)",
  "confidence" : 0.0,
  "translations" : {
    "Mathematica" : {
      "translation" : "",
      "translationInformation" : {
        "tokenTranslations" : {
          "Error" : "(LaTeX -> Mathematica) No translation possible for given token: Unknown relation. Cannot translate: \\mid [\\mid]"
        }
      },
      "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: Unknown relation. Cannot translate: \\mid [\\mid]"
        }
      },
      "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" : "",
      "translationInformation" : {
        "tokenTranslations" : {
          "Error" : "(LaTeX -> Maple) No translation possible for given token: Unknown relation. Cannot translate: \\mid [\\mid]"
        }
      },
      "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" : 8
  } ],
  "includes" : [ ],
  "isPartOf" : [ ],
  "definiens" : [ {
    "definition" : "q",
    "score" : 0.8880695149604544
  }, {
    "definition" : "ab",
    "score" : 0.8172610534710303
  }, {
    "definition" : "ac",
    "score" : 0.8172610534710303
  }, {
    "definition" : "ae",
    "score" : 0.8172610534710303
  }, {
    "definition" : "mid q",
    "score" : 0.8172610534710303
  }, {
    "definition" : "n",
    "score" : 0.8172610534710303
  }, {
    "definition" : "theta",
    "score" : 0.8172610534710303
  }, {
    "definition" : "TeX Source",
    "score" : 0.722
  }, {
    "definition" : "b",
    "score" : 0.6584038577190456
  }, {
    "definition" : "c",
    "score" : 0.6584038577190456
  }, {
    "definition" : "cdot",
    "score" : 0.6584038577190456
  }, {
    "definition" : "Formula",
    "score" : 0.6584038577190456
  }, {
    "definition" : "Gold ID",
    "score" : 0.6584038577190456
  }, {
    "definition" : "i",
    "score" : 0.6584038577190456
  }, {
    "definition" : "link",
    "score" : 0.6584038577190456
  }, {
    "definition" : "p_n",
    "score" : 0.6584038577190456
  }, {
    "definition" : "x",
    "score" : 0.6584038577190456
  } ]
}

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