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 \pi(x)}
... is translated to the CAS output ...
Semantic latex: \cpi(x)
Confidence: 0
Mathematica
Translation: Pi*(x)
Information
Sub Equations
- Pi*(x)
Free variables
- x
Symbol info
- Pi was translated to: Pi
Tests
Symbolic
Numeric
SymPy
Translation: pi*(x)
Information
Sub Equations
- pi*(x)
Free variables
- x
Symbol info
- Pi was translated to: pi
Tests
Symbolic
Numeric
Maple
Translation: Pi*(x)
Information
Sub Equations
- Pi*(x)
Free variables
- x
Symbol info
- Pi was translated to: Pi
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Is part of
Description
- prime number theorem state
- example
- number of prime
- Riemann hypothesis
Complete translation information:
{
"id" : "FORMULA_e5cb16c20d9f01bbbfe8f299e28d1f4b",
"formula" : "\\pi(x)",
"semanticFormula" : "\\cpi(x)",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "Pi*(x)",
"translationInformation" : {
"subEquations" : [ "Pi*(x)" ],
"freeVariables" : [ "x" ],
"tokenTranslations" : {
"\\cpi" : "Pi was translated to: Pi"
}
},
"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" : "pi*(x)",
"translationInformation" : {
"subEquations" : [ "pi*(x)" ],
"freeVariables" : [ "x" ],
"tokenTranslations" : {
"\\cpi" : "Pi was translated to: pi"
}
},
"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" : "Pi*(x)",
"translationInformation" : {
"subEquations" : [ "Pi*(x)" ],
"freeVariables" : [ "x" ],
"tokenTranslations" : {
"\\cpi" : "Pi was translated to: Pi"
}
},
"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" : 6,
"sentence" : 1,
"word" : 12
} ],
"includes" : [ "x)", "x" ],
"isPartOf" : [ "\\pi(x)\\sim\\operatorname{Li}(x)", "\\operatorname{Li}(x)-\\pi(x) = O(\\sqrt{x}\\log x)" ],
"definiens" : [ {
"definition" : "prime number theorem state",
"score" : 0.7125985104912714
}, {
"definition" : "example",
"score" : 0.6859086196238077
}, {
"definition" : "number of prime",
"score" : 0.6859086196238077
}, {
"definition" : "Riemann hypothesis",
"score" : 0.6205896994220499
} ]
}