LaTeX to CAS translator
Jump to navigation
Jump to search
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 \,\gamma}
... is translated to the CAS output ...
Semantic latex: \EulerConstant
Confidence: 0
Mathematica
Translation: EulerGamma
Information
Sub Equations
- EulerGamma
Symbol info
- Euler-Mascheroni constant was translated to: EulerGamma
Tests
Symbolic
Numeric
SymPy
Translation: EulerGamma
Information
Sub Equations
- EulerGamma
Symbol info
- Euler-Mascheroni constant was translated to: EulerGamma
Tests
Symbolic
Numeric
Maple
Translation: gamma
Information
Sub Equations
- gamma
Symbol info
- Euler-Mascheroni constant was translated to: gamma
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Is part of
Complete translation information:
{
"id" : "FORMULA_ae539dfcc999c28e25a0f3ae65c1de79",
"formula" : "\\gamma",
"semanticFormula" : "\\EulerConstant",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "EulerGamma",
"translationInformation" : {
"subEquations" : [ "EulerGamma" ],
"tokenTranslations" : {
"\\EulerConstant" : "Euler-Mascheroni constant was translated to: EulerGamma"
}
},
"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" : "EulerGamma",
"translationInformation" : {
"subEquations" : [ "EulerGamma" ],
"tokenTranslations" : {
"\\EulerConstant" : "Euler-Mascheroni constant was translated to: EulerGamma"
}
},
"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" : "gamma",
"translationInformation" : {
"subEquations" : [ "gamma" ],
"tokenTranslations" : {
"\\EulerConstant" : "Euler-Mascheroni constant was translated to: gamma"
}
},
"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" : [ "\\, \\gamma", "\\,\\gamma" ],
"isPartOf" : [ "\\begin{align}& \\int_0^z\\log\\Gamma(x)\\,dx=-\\int_0^z \\log\\left(\\frac{1}{\\Gamma(x)}\\right)\\,dx \\\\[5pt]= {} & {-(z\\log z-z)}-\\frac{z^2 \\gamma}{2}- \\sum_{k=1}^\\infty \\Bigg\\{ (k+z)\\log \\left(1+\\frac{z}{k}\\right)-\\frac{z^2}{2k}-z \\Bigg\\}\\end{align}", "\\, \\gamma", "\\log G(1+z) = \\frac{z}{2}\\log 2\\pi -\\left( \\frac{z+(1+\\gamma)z^2}{2} \\right) + \\sum_{k=2}^{\\infty}(-1)^k\\frac{\\zeta(k)}{k+1}z^{k+1}", "G(1+z)=(2\\pi)^{z/2} \\exp\\left(- \\frac{z+z^2(1+\\gamma)}{2} \\right) \\, \\prod_{k=1}^\\infty \\left\\{ \\left(1+\\frac{z}{k}\\right)^k \\exp\\left(\\frac{z^2}{2k}-z\\right) \\right\\}", "\\begin{align}& \\sum_{k=1}^\\infty \\Bigg\\{ (k+z)\\log \\left(1+\\frac{z}{k}\\right)-\\frac{z^2}{2k}-z \\Bigg\\} \\\\[5pt]= {} & {-z}\\log z-\\frac{z}{2}\\log 2\\pi +\\frac{z}{2} +\\frac{z^2}{2}- \\frac{z^2 \\gamma}{2}- z\\log\\Gamma(z) +\\log G(1+z)\\end{align}", "\\frac{1}{\\Gamma(z)}= z e^{\\gamma z} \\prod_{k=1}^\\infty \\left\\{ \\left(1+\\frac{z}{k}\\right)e^{-z/k} \\right\\}", "\\,\\gamma", "\\begin{align} G(1+z) &= \\exp \\left[ \\frac{z}{2}\\log 2\\pi -\\left( \\frac{z+(1+\\gamma)z^2}{2} \\right) + \\sum_{k=2}^{\\infty}(-1)^k\\frac{\\zeta(k)}{k+1}z^{k+1} \\right] \\\\&=(2\\pi)^{z/2}\\exp\\left[ -\\frac{z+(1+\\gamma)z^2}{2} \\right] \\exp \\left[\\sum_{k=2}^{\\infty}(-1)^k\\frac{\\zeta(k)}{k+1}z^{k+1} \\right].\\end{align}", "\\begin{align}& z\\log \\Gamma(z)-\\log G(1+z)=-z \\log\\left(\\frac{1}{\\Gamma (z)}\\right)-\\log G(1+z) \\\\[5pt]= {} & {-z} \\left[ \\log z+\\gamma z +\\sum_{k=1}^\\infty \\Bigg\\{ \\log\\left(1+\\frac{z}{k} \\right) -\\frac{z}{k} \\Bigg\\} \\right] \\\\[5pt]& {} -\\left[ \\frac{z}{2}\\log 2\\pi -\\frac{z}{2}-\\frac{z^2}{2} -\\frac{z^2 \\gamma}{2} + \\sum_{k=1}^\\infty \\Bigg\\{k\\log\\left(1+\\frac{z}{k}\\right) +\\frac{z^2}{2k} -z \\Bigg\\} \\right]\\end{align}" ],
"definiens" : [ ]
}