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 m}
... is translated to the CAS output ...
Semantic latex: m
Confidence: 0
Mathematica
Translation: m
Information
Sub Equations
- m
Free variables
- m
Tests
Symbolic
Numeric
SymPy
Translation: m
Information
Sub Equations
- m
Free variables
- m
Tests
Symbolic
Numeric
Maple
Translation: m
Information
Sub Equations
- m
Free variables
- m
Tests
Symbolic
Numeric
Dependency Graph Information
Is part of
- Failed to parse (syntax error): {\displaystyle \frac{1 + m_1 m_2}{m_2 - m_1} = \cot\theta\}
- Failed to parse (syntax error): {\displaystyle \frac{1 + {\color{blue}q}\; m_1 m_2}{m_2 - m_1}\}
Description
- slope
- slope of the tangent
- tangent at a point
- derivative of the standard representation
- parametric representation
- help of trigonometric formula
- ellipse
- ellipse point
- standard representation yield
- lower half of the ellipse
- quotient
- angle
- point
- equation of the tangent
- coordinate
- order
- parameter
- line with equation
- incomplete elliptic integral of the second kind
- form
- angle by a degree
- following measurement
- function of the usual angle measure
- q-analog angle measure
- measure
- radian
- family of ellipsis
Complete translation information:
{
"id" : "FORMULA_6f8f57715090da2632453988d9a1501b",
"formula" : "m",
"semanticFormula" : "m",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "m",
"translationInformation" : {
"subEquations" : [ "m" ],
"freeVariables" : [ "m" ]
},
"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" : "m",
"translationInformation" : {
"subEquations" : [ "m" ],
"freeVariables" : [ "m" ]
},
"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" : "m",
"translationInformation" : {
"subEquations" : [ "m" ],
"freeVariables" : [ "m" ]
},
"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" : 12,
"sentence" : 0,
"word" : 8
}, {
"section" : 12,
"sentence" : 3,
"word" : 1
} ],
"includes" : [ ],
"isPartOf" : [ "\\vec x'(t) = (-a\\sin t,\\, b\\cos t)^\\mathsf{T} \\quad \\rightarrow \\quad m = -\\frac{b}{a}\\cot t\\quad \\rightarrow \\quad \\cot t = -\\frac{ma}{b}", "\\cos t = \\frac{\\cot t}{\\pm\\sqrt{1 + \\cot^2t}} = \\frac{-ma}{\\pm\\sqrt{m^2 a^2 + b^2}}\\ ,\\quad\\quad\\sin t = \\frac{1}{\\pm\\sqrt{1 + \\cot^2t}} = \\frac{b}{\\pm\\sqrt{m^2 a^2 + b^2}}", "\\vec c_\\pm(m) = \\left(-\\frac{ma^2}{\\pm\\sqrt{m^2 a^2 + b^2}},\\;\\frac{b^2}{\\pm\\sqrt{m^2a^2 + b^2}}\\right),\\, m \\in \\R", "\\vec c_\\pm(m)", "y = mx \\pm\\sqrt{m^2 a^2 + b^2}\\;", "y = m_1x + d_1,\\ y = m_2x + d_2,\\ m_1 \\ne m_2", "\\frac{1 + m_1 m_2}{m_2 - m_1} = \\cot\\theta\\", "\\frac{1 + {\\color{blue}q}\\; m_1 m_2}{m_2 - m_1}\\", "E(z \\mid m)", "m=k^{2}" ],
"definiens" : [ {
"definition" : "slope",
"score" : 0.722
}, {
"definition" : "slope of the tangent",
"score" : 0.722
}, {
"definition" : "tangent at a point",
"score" : 0.6954080343007951
}, {
"definition" : "derivative of the standard representation",
"score" : 0.6687181434333315
}, {
"definition" : "parametric representation",
"score" : 0.6687181434333315
}, {
"definition" : "help of trigonometric formula",
"score" : 0.6432331635625809
}, {
"definition" : "ellipse",
"score" : 0.6288842031023242
}, {
"definition" : "ellipse point",
"score" : 0.56547515228527
}, {
"definition" : "standard representation yield",
"score" : 0.4904718574912855
}, {
"definition" : "lower half of the ellipse",
"score" : 0.4569794411975623
}, {
"definition" : "quotient",
"score" : 0.4530375991008068
}, {
"definition" : "angle",
"score" : 0.41115056115555504
}, {
"definition" : "point",
"score" : 0.4111329742008307
}, {
"definition" : "equation of the tangent",
"score" : 0.3750415938246384
}, {
"definition" : "coordinate",
"score" : 0.3730866057293667
}, {
"definition" : "order",
"score" : 0.37131662082454775
}, {
"definition" : "parameter",
"score" : 0.361
}, {
"definition" : "line with equation",
"score" : 0.3605208759261228
}, {
"definition" : "incomplete elliptic integral of the second kind",
"score" : 0.35159851049127144
}, {
"definition" : "form",
"score" : 0.2879504737342633
}, {
"definition" : "angle by a degree",
"score" : 0.2378174995334326
}, {
"definition" : "following measurement",
"score" : 0.2378174995334326
}, {
"definition" : "function of the usual angle measure",
"score" : 0.2378174995334326
}, {
"definition" : "q-analog angle measure",
"score" : 0.1890952380952381
}, {
"definition" : "measure",
"score" : 0.14390742558144942
}, {
"definition" : "radian",
"score" : 0.14390742558144942
}, {
"definition" : "family of ellipsis",
"score" : 0.10555930748162859
} ]
}