23.8: 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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| [https://dlmf.nist.gov/23.8.E5 23.8.E5] | | | [https://dlmf.nist.gov/23.8.E5 23.8.E5] || <math qid="Q7287">\eta_{1} = \frac{\pi^{2}}{2\omega_{1}}\left(\frac{1}{6}+\sum_{n=1}^{\infty}\csc^{2}@{\frac{n\pi\omega_{3}}{\omega_{1}}}\right)</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\eta_{1} = \frac{\pi^{2}}{2\omega_{1}}\left(\frac{1}{6}+\sum_{n=1}^{\infty}\csc^{2}@{\frac{n\pi\omega_{3}}{\omega_{1}}}\right)</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>eta[1] = ((Pi)^(2))/(2*omega[1])*((1)/(6)+ sum((csc((n*Pi*omega[3])/(omega[1])))^(2), n = 1..infinity))</syntaxhighlight> || <syntaxhighlight lang=mathematica>Subscript[\[Eta], 1] == Divide[(Pi)^(2),2*Subscript[\[Omega], 1]]*(Divide[1,6]+ Sum[(Csc[Divide[n*Pi*Subscript[\[Omega], 3],Subscript[\[Omega], 1]]])^(2), {n, 1, Infinity}, GenerateConditions->None])</syntaxhighlight> || Failure || Failure || Skipped - Because timed out || Skipped - Because timed out | ||
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</div> | </div> | ||
Latest revision as of 12:00, 28 June 2021
| DLMF | Formula | Constraints | Maple | Mathematica | Symbolic Maple |
Symbolic Mathematica |
Numeric Maple |
Numeric Mathematica |
|---|---|---|---|---|---|---|---|---|
| 23.8.E5 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \eta_{1} = \frac{\pi^{2}}{2\omega_{1}}\left(\frac{1}{6}+\sum_{n=1}^{\infty}\csc^{2}@{\frac{n\pi\omega_{3}}{\omega_{1}}}\right)}
\eta_{1} = \frac{\pi^{2}}{2\omega_{1}}\left(\frac{1}{6}+\sum_{n=1}^{\infty}\csc^{2}@{\frac{n\pi\omega_{3}}{\omega_{1}}}\right) |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | eta[1] = ((Pi)^(2))/(2*omega[1])*((1)/(6)+ sum((csc((n*Pi*omega[3])/(omega[1])))^(2), n = 1..infinity))
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Subscript[\[Eta], 1] == Divide[(Pi)^(2),2*Subscript[\[Omega], 1]]*(Divide[1,6]+ Sum[(Csc[Divide[n*Pi*Subscript[\[Omega], 3],Subscript[\[Omega], 1]]])^(2), {n, 1, Infinity}, GenerateConditions->None])
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Failure | Failure | Skipped - Because timed out | Skipped - Because timed out |