10.37: 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/10.37.E1 10.37.E1] | | | [https://dlmf.nist.gov/10.37.E1 10.37.E1] || <math qid="Q3559">|\modBesselK{\nu}@{z}| < |\modBesselK{\mu}@{z}|</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>|\modBesselK{\nu}@{z}| < |\modBesselK{\mu}@{z}|</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>abs(BesselK(nu, z)) < abs(BesselK(mu, z))</syntaxhighlight> || <syntaxhighlight lang=mathematica>Abs[BesselK[\[Nu], z]] < Abs[BesselK[\[Mu], z]]</syntaxhighlight> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Failed [204 / 300]<div class="mw-collapsible-content"><syntaxhighlight lang=mathematica>Result: .6496143723 < .6496143723 | ||
Test Values: {mu = 1/2*3^(1/2)+1/2*I, nu = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I}</syntaxhighlight><br><syntaxhighlight lang=mathematica>Result: 3.110500858 < 3.110500858 | Test Values: {mu = 1/2*3^(1/2)+1/2*I, nu = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I}</syntaxhighlight><br><syntaxhighlight lang=mathematica>Result: 3.110500858 < 3.110500858 | ||
Test Values: {mu = 1/2*3^(1/2)+1/2*I, nu = 1/2*3^(1/2)+1/2*I, z = -1/2+1/2*I*3^(1/2)}</syntaxhighlight><br>... skip entries to safe data</div></div> || <div class="toccolours mw-collapsible mw-collapsed">Failed [184 / 300]<div class="mw-collapsible-content"><syntaxhighlight lang=mathematica>Result: False | Test Values: {mu = 1/2*3^(1/2)+1/2*I, nu = 1/2*3^(1/2)+1/2*I, z = -1/2+1/2*I*3^(1/2)}</syntaxhighlight><br>... skip entries to safe data</div></div> || <div class="toccolours mw-collapsible mw-collapsed">Failed [184 / 300]<div class="mw-collapsible-content"><syntaxhighlight lang=mathematica>Result: False | ||
Latest revision as of 11:25, 28 June 2021
| DLMF | Formula | Constraints | Maple | Mathematica | Symbolic Maple |
Symbolic Mathematica |
Numeric Maple |
Numeric Mathematica |
|---|---|---|---|---|---|---|---|---|
| 10.37.E1 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\modBesselK{\nu}@{z}| < |\modBesselK{\mu}@{z}|}
|\modBesselK{\nu}@{z}| < |\modBesselK{\mu}@{z}| |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | abs(BesselK(nu, z)) < abs(BesselK(mu, z))
|
Abs[BesselK[\[Nu], z]] < Abs[BesselK[\[Mu], z]]
|
Failure | Failure | Failed [204 / 300] Result: .6496143723 < .6496143723
Test Values: {mu = 1/2*3^(1/2)+1/2*I, nu = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I}
Result: 3.110500858 < 3.110500858
Test Values: {mu = 1/2*3^(1/2)+1/2*I, nu = 1/2*3^(1/2)+1/2*I, z = -1/2+1/2*I*3^(1/2)}
... skip entries to safe data |
Failed [184 / 300]
Result: False
Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[μ, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[ν, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}
Result: False
Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[μ, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[ν, Power[E, Times[Complex[0, Rational[-5, 6]], Pi]]]}
... skip entries to safe data |