21.3: Difference between revisions
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Admin moved page Main Page to Verifying DLMF with Maple and Mathematica |
Admin moved page Main Page to Verifying DLMF with Maple and Mathematica |
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! scope="col" style="position: sticky; top: 0;" | Numeric<br>Mathematica | ! scope="col" style="position: sticky; top: 0;" | Numeric<br>Mathematica | ||
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| [https://dlmf.nist.gov/21.3.E1 21.3.E1] | | | [https://dlmf.nist.gov/21.3.E1 21.3.E1] || <math qid="Q6869">\Riemanntheta@{-\mathbf{z}}{\boldsymbol{{\Omega}}} = \Riemanntheta@{\mathbf{z}}{\boldsymbol{{\Omega}}}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\Riemanntheta@{-\mathbf{z}}{\boldsymbol{{\Omega}}} = \Riemanntheta@{\mathbf{z}}{\boldsymbol{{\Omega}}}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>RiemannTheta(- z, Omega) = RiemannTheta(z, Omega)</syntaxhighlight> || <syntaxhighlight lang=mathematica>Error</syntaxhighlight> || Missing Macro Error || Missing Macro Error || - || - | ||
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| [https://dlmf.nist.gov/21.3.E2 21.3.E2] | | | [https://dlmf.nist.gov/21.3.E2 21.3.E2] || <math qid="Q6870">\Riemanntheta@{\mathbf{z}+\mathbf{m}_{1}}{\boldsymbol{{\Omega}}} = \Riemanntheta@{\mathbf{z}}{\boldsymbol{{\Omega}}}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\Riemanntheta@{\mathbf{z}+\mathbf{m}_{1}}{\boldsymbol{{\Omega}}} = \Riemanntheta@{\mathbf{z}}{\boldsymbol{{\Omega}}}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>RiemannTheta(z + m[1], Omega) = RiemannTheta(z, Omega)</syntaxhighlight> || <syntaxhighlight lang=mathematica>Error</syntaxhighlight> || Missing Macro Error || Missing Macro Error || - || - | ||
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| [https://dlmf.nist.gov/21.3.E3 21.3.E3] | | | [https://dlmf.nist.gov/21.3.E3 21.3.E3] || <math qid="Q6871">\Riemanntheta@{\mathbf{z}+\mathbf{m}_{1}+\boldsymbol{{\Omega}}\mathbf{m}_{2}}{\boldsymbol{{\Omega}}} = e^{-2\pi i\left(\frac{1}{2}\mathbf{m}_{2}\cdot\boldsymbol{{\Omega}}\cdot\mathbf{m}_{2}+\mathbf{m}_{2}\cdot\mathbf{z}\right)}\Riemanntheta@{\mathbf{z}}{\boldsymbol{{\Omega}}}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\Riemanntheta@{\mathbf{z}+\mathbf{m}_{1}+\boldsymbol{{\Omega}}\mathbf{m}_{2}}{\boldsymbol{{\Omega}}} = e^{-2\pi i\left(\frac{1}{2}\mathbf{m}_{2}\cdot\boldsymbol{{\Omega}}\cdot\mathbf{m}_{2}+\mathbf{m}_{2}\cdot\mathbf{z}\right)}\Riemanntheta@{\mathbf{z}}{\boldsymbol{{\Omega}}}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>RiemannTheta(z + m[1]+ Omega*m[2], Omega) = exp(- 2*Pi*I*((1)/(2)*m[2] * Omega * m[2]+ m[2] * z))*RiemannTheta(z, Omega)</syntaxhighlight> || <syntaxhighlight lang=mathematica>Error</syntaxhighlight> || Missing Macro Error || Missing Macro Error || - || - | ||
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</div> | </div> | ||
Latest revision as of 11:56, 28 June 2021
| DLMF | Formula | Constraints | Maple | Mathematica | Symbolic Maple |
Symbolic Mathematica |
Numeric Maple |
Numeric Mathematica |
|---|---|---|---|---|---|---|---|---|
| 21.3.E1 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Riemanntheta@{-\mathbf{z}}{\boldsymbol{{\Omega}}} = \Riemanntheta@{\mathbf{z}}{\boldsymbol{{\Omega}}}}
\Riemanntheta@{-\mathbf{z}}{\boldsymbol{{\Omega}}} = \Riemanntheta@{\mathbf{z}}{\boldsymbol{{\Omega}}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | RiemannTheta(- z, Omega) = RiemannTheta(z, Omega)
|
Error
|
Missing Macro Error | Missing Macro Error | - | - |
| 21.3.E2 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Riemanntheta@{\mathbf{z}+\mathbf{m}_{1}}{\boldsymbol{{\Omega}}} = \Riemanntheta@{\mathbf{z}}{\boldsymbol{{\Omega}}}}
\Riemanntheta@{\mathbf{z}+\mathbf{m}_{1}}{\boldsymbol{{\Omega}}} = \Riemanntheta@{\mathbf{z}}{\boldsymbol{{\Omega}}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | RiemannTheta(z + m[1], Omega) = RiemannTheta(z, Omega)
|
Error
|
Missing Macro Error | Missing Macro Error | - | - |
| 21.3.E3 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Riemanntheta@{\mathbf{z}+\mathbf{m}_{1}+\boldsymbol{{\Omega}}\mathbf{m}_{2}}{\boldsymbol{{\Omega}}} = e^{-2\pi i\left(\frac{1}{2}\mathbf{m}_{2}\cdot\boldsymbol{{\Omega}}\cdot\mathbf{m}_{2}+\mathbf{m}_{2}\cdot\mathbf{z}\right)}\Riemanntheta@{\mathbf{z}}{\boldsymbol{{\Omega}}}}
\Riemanntheta@{\mathbf{z}+\mathbf{m}_{1}+\boldsymbol{{\Omega}}\mathbf{m}_{2}}{\boldsymbol{{\Omega}}} = e^{-2\pi i\left(\frac{1}{2}\mathbf{m}_{2}\cdot\boldsymbol{{\Omega}}\cdot\mathbf{m}_{2}+\mathbf{m}_{2}\cdot\mathbf{z}\right)}\Riemanntheta@{\mathbf{z}}{\boldsymbol{{\Omega}}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | RiemannTheta(z + m[1]+ Omega*m[2], Omega) = exp(- 2*Pi*I*((1)/(2)*m[2] * Omega * m[2]+ m[2] * z))*RiemannTheta(z, Omega)
|
Error
|
Missing Macro Error | Missing Macro Error | - | - |