23.8: Difference between revisions

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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/23.8.E5 23.8.E5] || [[Item:Q7287|<math>\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
| [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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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 η 1 = π 2 2 ⁢ ω 1 ⁢ ( 1 6 + ∑ n = 1 ∞ csc 2 ⁡ ( n ⁢ π ⁢ ω 3 ω 1 ) ) subscript 𝜂 1 superscript 𝜋 2 2 subscript 𝜔 1 1 6 superscript subscript 𝑛 1 2 𝑛 𝜋 subscript 𝜔 3 subscript 𝜔 1 {\displaystyle{\displaystyle\eta_{1}=\frac{\pi^{2}}{2\omega_{1}}\left(\frac{1}% {6}+\sum_{n=1}^{\infty}{\csc^{2}}\left(\frac{n\pi\omega_{3}}{\omega_{1}}\right% )\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)		 

eta[1] = ((Pi)^(2))/(2*omega[1])*((1)/(6)+ sum((csc((n*Pi*omega[3])/(omega[1])))^(2), n = 1..infinity))

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])
Failure Failure Skipped - Because timed out Skipped - Because timed out
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