27.9: 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/27.9.E1 27.9.E1] | | | [https://dlmf.nist.gov/27.9.E1 27.9.E1] || <math qid="Q8055">\Legendresym{-1}{p} = (-1)^{(p-1)/2}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\Legendresym{-1}{p} = (-1)^{(p-1)/2}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>LegendreSymbol(- 1, p) = (- 1)^((p - 1)/2)</syntaxhighlight> || <syntaxhighlight lang=mathematica>Error</syntaxhighlight> || Failure || Missing Macro Error || Error || - | ||
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| [https://dlmf.nist.gov/27.9.E2 27.9.E2] | | | [https://dlmf.nist.gov/27.9.E2 27.9.E2] || <math qid="Q8056">\Legendresym{2}{p} = (-1)^{(p^{2}-1)/8}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\Legendresym{2}{p} = (-1)^{(p^{2}-1)/8}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>LegendreSymbol(2, p) = (- 1)^(((p)^(2)- 1)/8)</syntaxhighlight> || <syntaxhighlight lang=mathematica>Error</syntaxhighlight> || Failure || Missing Macro Error || Error || - | ||
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| [https://dlmf.nist.gov/27.9.E3 27.9.E3] | | | [https://dlmf.nist.gov/27.9.E3 27.9.E3] || <math qid="Q8057">\Legendresym{p}{q}\Legendresym{q}{p} = (-1)^{(p-1)(q-1)/4}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\Legendresym{p}{q}\Legendresym{q}{p} = (-1)^{(p-1)(q-1)/4}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>LegendreSymbol(p, q)*LegendreSymbol(q, p) = (- 1)^((p - 1)*(q - 1)/4)</syntaxhighlight> || <syntaxhighlight lang=mathematica>Error</syntaxhighlight> || Failure || Missing Macro Error || Error || - | ||
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Latest revision as of 12:06, 28 June 2021
| DLMF | Formula | Constraints | Maple | Mathematica | Symbolic Maple |
Symbolic Mathematica |
Numeric Maple |
Numeric Mathematica |
|---|---|---|---|---|---|---|---|---|
| 27.9.E1 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Legendresym{-1}{p} = (-1)^{(p-1)/2}}
\Legendresym{-1}{p} = (-1)^{(p-1)/2} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | LegendreSymbol(- 1, p) = (- 1)^((p - 1)/2)
|
Error
|
Failure | Missing Macro Error | Error | - |
| 27.9.E2 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Legendresym{2}{p} = (-1)^{(p^{2}-1)/8}}
\Legendresym{2}{p} = (-1)^{(p^{2}-1)/8} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | LegendreSymbol(2, p) = (- 1)^(((p)^(2)- 1)/8)
|
Error
|
Failure | Missing Macro Error | Error | - |
| 27.9.E3 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Legendresym{p}{q}\Legendresym{q}{p} = (-1)^{(p-1)(q-1)/4}}
\Legendresym{p}{q}\Legendresym{q}{p} = (-1)^{(p-1)(q-1)/4} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | LegendreSymbol(p, q)*LegendreSymbol(q, p) = (- 1)^((p - 1)*(q - 1)/4)
|
Error
|
Failure | Missing Macro Error | Error | - |