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 \Phi_n^*(z)=z^n\overline{\Phi_n(1/\overline{z})}}

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

Semantic latex: \Phi_n^*(z) = z^n{\conj{\Phi_n(1 / \overline{z})}}

Confidence: 0.93671046890158

Mathematica

Translation:

Information

Symbol info

  • (LaTeX -> Mathematica) No translation possible for given token: Accents are not supported.

Tests

Symbolic
Numeric

SymPy

Translation:

Information

Symbol info

  • (LaTeX -> SymPy) No translation possible for given token: Cannot extract information from feature set: \conj [\conj]

Tests

Symbolic
Numeric

Maple

Translation:

Information

Symbol info

  • (LaTeX -> Maple) No translation possible for given token: Accents are not supported.

Tests

Symbolic
Numeric

Dependency Graph Information

Description

  • z
  • phi_n
  • TeX Source
  • Formula
  • Gold ID
  • link
  • n
  • overline

Complete translation information:

{
  "id" : "FORMULA_f2d41903301a99a3fade5f2f49450694",
  "formula" : "\\Phi_n^*(z)=z^n\\overline{\\Phi_n(1/\\overline{z})}",
  "semanticFormula" : "\\Phi_n^*(z) = z^n{\\conj{\\Phi_n(1 / \\overline{z})}}",
  "confidence" : 0.9367104689015785,
  "translations" : {
    "Mathematica" : {
      "translation" : "",
      "translationInformation" : {
        "tokenTranslations" : {
          "Error" : "(LaTeX -> Mathematica) No translation possible for given token: Accents are not supported."
        }
      },
      "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: \\conj [\\conj]"
        }
      },
      "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: Accents are not supported."
        }
      },
      "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" : "z",
    "score" : 0.8492254761639996
  }, {
    "definition" : "phi_n",
    "score" : 0.7687941485698011
  }, {
    "definition" : "TeX Source",
    "score" : 0.722
  }, {
    "definition" : "Formula",
    "score" : 0.6896778755706364
  }, {
    "definition" : "Gold ID",
    "score" : 0.6629879847031728
  }, {
    "definition" : "link",
    "score" : 0.6231540443721655
  }, {
    "definition" : "n",
    "score" : 0.6231540443721655
  }, {
    "definition" : "overline",
    "score" : 0.5758968646127977
  } ]
}

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