7.13: Difference between revisions
Jump to navigation
Jump to search
Admin moved page Main Page to Verifying DLMF with Maple and Mathematica |
Admin moved page Main Page to Verifying DLMF with Maple and Mathematica |
||
| Line 14: | Line 14: | ||
! scope="col" style="position: sticky; top: 0;" | Numeric<br>Mathematica | ! scope="col" style="position: sticky; top: 0;" | Numeric<br>Mathematica | ||
|- style="background: #dfe6e9;" | |- style="background: #dfe6e9;" | ||
| [https://dlmf.nist.gov/7.13#Ex13 7.13#Ex13] | | | [https://dlmf.nist.gov/7.13#Ex13 7.13#Ex13] || <math qid="Q2431">\lambda = 2\sqrt{n}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\lambda = 2\sqrt{n}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(sqrt(4*n - 1)) = 2*sqrt(n)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Sqrt[4*n - 1]) == 2*Sqrt[n]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || - | ||
|- | |- | ||
| [https://dlmf.nist.gov/7.13#Ex14 7.13#Ex14] | | | [https://dlmf.nist.gov/7.13#Ex14 7.13#Ex14] || <math qid="Q2432">\alpha = (2/\pi)\ln@{\pi\lambda}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\alpha = (2/\pi)\ln@{\pi\lambda}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>alpha = (2/Pi)*ln(Pi*(sqrt(4*n - 1)))</syntaxhighlight> || <syntaxhighlight lang=mathematica>\[Alpha] == (2/Pi)*Log[Pi*(Sqrt[4*n - 1])]</syntaxhighlight> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Failed [9 / 9]<div class="mw-collapsible-content"><syntaxhighlight lang=mathematica>Result: .421543168 | ||
Test Values: {alpha = 1.5, n = 1}</syntaxhighlight><br><syntaxhighlight lang=mathematica>Result: .151839883 | Test Values: {alpha = 1.5, n = 1}</syntaxhighlight><br><syntaxhighlight lang=mathematica>Result: .151839883 | ||
Test Values: {alpha = 1.5, n = 2}</syntaxhighlight><br>... skip entries to safe data</div></div> || <div class="toccolours mw-collapsible mw-collapsed">Failed [9 / 9]<div class="mw-collapsible-content"><syntaxhighlight lang=mathematica>Result: 0.4215431680821278 | Test Values: {alpha = 1.5, n = 2}</syntaxhighlight><br>... skip entries to safe data</div></div> || <div class="toccolours mw-collapsible mw-collapsed">Failed [9 / 9]<div class="mw-collapsible-content"><syntaxhighlight lang=mathematica>Result: 0.4215431680821278 | ||
Latest revision as of 11:16, 28 June 2021
| DLMF | Formula | Constraints | Maple | Mathematica | Symbolic Maple |
Symbolic Mathematica |
Numeric Maple |
Numeric Mathematica |
|---|---|---|---|---|---|---|---|---|
| 7.13#Ex13 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \lambda = 2\sqrt{n}}
\lambda = 2\sqrt{n} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | (sqrt(4*n - 1)) = 2*sqrt(n) |
(Sqrt[4*n - 1]) == 2*Sqrt[n] |
Skipped - no semantic math | Skipped - no semantic math | - | - |
| 7.13#Ex14 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \alpha = (2/\pi)\ln@{\pi\lambda}}
\alpha = (2/\pi)\ln@{\pi\lambda} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | alpha = (2/Pi)*ln(Pi*(sqrt(4*n - 1)))
|
\[Alpha] == (2/Pi)*Log[Pi*(Sqrt[4*n - 1])]
|
Failure | Failure | Failed [9 / 9] Result: .421543168
Test Values: {alpha = 1.5, n = 1}
Result: .151839883
Test Values: {alpha = 1.5, n = 2}
... skip entries to safe data |
Failed [9 / 9]
Result: 0.4215431680821278
Test Values: {Rule[n, 1], Rule[α, 1.5]}
Result: 0.15183988257850767
Test Values: {Rule[n, 2], Rule[α, 1.5]}
... skip entries to safe data |