LaTeX to CAS translator
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 K_v(x,y)=\int_1^\infty\frac{e^{-xt-\frac{y}{t}}}{t^{v+1}}~dt}
... is translated to the CAS output ...
Semantic latex: K_v(x , y) = \int_1^\infty \frac{\expe^{-xt-\frac{y}{t}}}{t^{v+1}} \diff{t}
Confidence: 0
Mathematica
Translation: Subscript[K, v][x , y] == Integrate[Divide[Exp[- x*t -Divide[y,t]],(t)^(v + 1)], {t, 1, Infinity}, GenerateConditions->None]
Information
Sub Equations
- Subscript[K, v][x , y] = Integrate[Divide[Exp[- x*t -Divide[y,t]],(t)^(v + 1)], {t, 1, Infinity}, GenerateConditions->None]
Free variables
- v
- x
- y
Symbol info
- Recognizes e with power as the exponential function. It was translated as a function.
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
SymPy
Translation: Symbol('{K}_{v}')(x , y) == integrate((exp(- x*t -(y)/(t)))/((t)**(v + 1)), (t, 1, oo))
Information
Sub Equations
- Symbol('{K}_{v}')(x , y) = integrate((exp(- x*t -(y)/(t)))/((t)**(v + 1)), (t, 1, oo))
Free variables
- v
- x
- y
Symbol info
- Recognizes e with power as the exponential function. It was translated as a function.
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
Maple
Translation: K[v](x , y) = int((exp(- x*t -(y)/(t)))/((t)^(v + 1)), t = 1..infinity)
Information
Sub Equations
- K[v](x , y) = int((exp(- x*t -(y)/(t)))/((t)^(v + 1)), t = 1..infinity)
Free variables
- v
- x
- y
Symbol info
- Recognizes e with power as the exponential function. It was translated as a function.
- 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
Complete translation information:
{
"id" : "FORMULA_d7109b5d2be1665478923c67cbbf80e2",
"formula" : "K_v(x,y)=\\int_1^\\infty\\frac{e^{-xt-\\frac{y}{t}}}{t^{v+1}}~dt",
"semanticFormula" : "K_v(x , y) = \\int_1^\\infty \\frac{\\expe^{-xt-\\frac{y}{t}}}{t^{v+1}} \\diff{t}",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "Subscript[K, v][x , y] == Integrate[Divide[Exp[- x*t -Divide[y,t]],(t)^(v + 1)], {t, 1, Infinity}, GenerateConditions->None]",
"translationInformation" : {
"subEquations" : [ "Subscript[K, v][x , y] = Integrate[Divide[Exp[- x*t -Divide[y,t]],(t)^(v + 1)], {t, 1, Infinity}, GenerateConditions->None]" ],
"freeVariables" : [ "v", "x", "y" ],
"tokenTranslations" : {
"\\expe" : "Recognizes e with power as the exponential function. It was translated as a function.",
"K" : "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" : "Symbol('{K}_{v}')(x , y) == integrate((exp(- x*t -(y)/(t)))/((t)**(v + 1)), (t, 1, oo))",
"translationInformation" : {
"subEquations" : [ "Symbol('{K}_{v}')(x , y) = integrate((exp(- x*t -(y)/(t)))/((t)**(v + 1)), (t, 1, oo))" ],
"freeVariables" : [ "v", "x", "y" ],
"tokenTranslations" : {
"\\expe" : "Recognizes e with power as the exponential function. It was translated as a function.",
"K" : "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" : "K[v](x , y) = int((exp(- x*t -(y)/(t)))/((t)^(v + 1)), t = 1..infinity)",
"translationInformation" : {
"subEquations" : [ "K[v](x , y) = int((exp(- x*t -(y)/(t)))/((t)^(v + 1)), t = 1..infinity)" ],
"freeVariables" : [ "v", "x", "y" ],
"tokenTranslations" : {
"\\expe" : "Recognizes e with power as the exponential function. It was translated as a function.",
"K" : "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" : [ ],
"includes" : [ "K_v(x,y)=\\int_1^\\infty\\frac{e^{-xt-\\frac{y}{t}}}{t^{v+1}}dt", "K_v(x,y)" ],
"isPartOf" : [ "K_v(x,y)=\\int_1^\\infty\\frac{e^{-xt-\\frac{y}{t}}}{t^{v+1}}dt" ],
"definiens" : [ ]
}