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 f(t) }
... is translated to the CAS output ...
Semantic latex: f(t)
Confidence: 0
Mathematica
Translation: f[t]
Information
Sub Equations
- f[t]
Free variables
- t
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
SymPy
Translation: f(t)
Information
Sub Equations
- f(t)
Free variables
- t
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
Maple
Translation: f(t)
Information
Sub Equations
- f(t)
Free variables
- t
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Is part of
Description
- Hill equation
- periodic function by minimal period
- second-order linear ordinary differential equation
- equation
- mathematics
- number
- Hill differential equation
- Fourier series
- period
- exact shape
- solution
- amplitude of the oscillation
- time
Complete translation information:
{
"id" : "FORMULA_d6e3af948a34fd5f432cb9d377a98ef0",
"formula" : "f(t)",
"semanticFormula" : "f(t)",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "f[t]",
"translationInformation" : {
"subEquations" : [ "f[t]" ],
"freeVariables" : [ "t" ],
"tokenTranslations" : {
"f" : "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" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"crashed" : false,
"testCalculationsGroup" : [ ]
}
},
"SymPy" : {
"translation" : "f(t)",
"translationInformation" : {
"subEquations" : [ "f(t)" ],
"freeVariables" : [ "t" ],
"tokenTranslations" : {
"f" : "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" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"crashed" : false,
"testCalculationsGroup" : [ ]
}
},
"Maple" : {
"translation" : "f(t)",
"translationInformation" : {
"subEquations" : [ "f(t)" ],
"freeVariables" : [ "t" ],
"tokenTranslations" : {
"f" : "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" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"crashed" : false,
"testCalculationsGroup" : [ ]
}
}
},
"positions" : [ {
"section" : 0,
"sentence" : 0,
"word" : 24
}, {
"section" : 0,
"sentence" : 3,
"word" : 1
}, {
"section" : 0,
"sentence" : 3,
"word" : 17
}, {
"section" : 0,
"sentence" : 6,
"word" : 6
} ],
"includes" : [ "t" ],
"isPartOf" : [ "\\frac{d^2y}{dt^2} + f(t) y = 0", "f(t+\\pi)=f(t)", "f(t+p) = f(t)" ],
"definiens" : [ {
"definition" : "Hill equation",
"score" : 0.7543972134070743
}, {
"definition" : "periodic function by minimal period",
"score" : 0.722
}, {
"definition" : "second-order linear ordinary differential equation",
"score" : 0.7048095238095237
}, {
"definition" : "equation",
"score" : 0.6793245439387732
}, {
"definition" : "mathematics",
"score" : 0.6687181434333315
}, {
"definition" : "number",
"score" : 0.6432331635625809
}, {
"definition" : "Hill differential equation",
"score" : 0.6288842031023242
}, {
"definition" : "Fourier series",
"score" : 0.5235032723960333
}, {
"definition" : "period",
"score" : 0.4968133815285695
}, {
"definition" : "exact shape",
"score" : 0.3730866057293667
}, {
"definition" : "solution",
"score" : 0.3654644119836777
}, {
"definition" : "amplitude of the oscillation",
"score" : 0.2593055947715278
}, {
"definition" : "time",
"score" : 0.2593055947715278
} ]
}