27.10: 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/27.10.E7 27.10.E7] | | | [https://dlmf.nist.gov/27.10.E7 27.10.E7] || <math qid="Q8064">s_{k}(n) = \sum_{m=1}^{k}a_{k}(m)e^{2\cpi\iunit mn/k}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>s_{k}(n) = \sum_{m=1}^{k}a_{k}(m)e^{2\cpi\iunit mn/k}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>s[k](n) = sum(a[k](m)* exp(2*Pi*I*m*n/k), m = 1..k)</syntaxhighlight> || <syntaxhighlight lang=mathematica>Subscript[s, k][n] == Sum[Subscript[a, k][m]* Exp[2*Pi*I*m*n/k], {m, 1, k}, GenerateConditions->None]</syntaxhighlight> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Failed [297 / 300]<div class="mw-collapsible-content"><syntaxhighlight lang=mathematica>Result: 2971422279.-5146654356.*I | ||
Test Values: {a[k] = 1/2*3^(1/2)+1/2*I, s[k] = 1/2*3^(1/2)+1/2*I, k = 1, n = 1}</syntaxhighlight><br><syntaxhighlight lang=mathematica>Result: -1114283352.+1929995386.*I | Test Values: {a[k] = 1/2*3^(1/2)+1/2*I, s[k] = 1/2*3^(1/2)+1/2*I, k = 1, n = 1}</syntaxhighlight><br><syntaxhighlight lang=mathematica>Result: -1114283352.+1929995386.*I | ||
Test Values: {a[k] = 1/2*3^(1/2)+1/2*I, s[k] = 1/2*3^(1/2)+1/2*I, k = 1, n = 2}</syntaxhighlight><br>... skip entries to safe data</div></div> || <div class="toccolours mw-collapsible mw-collapsed">Failed [297 / 300]<div class="mw-collapsible-content"><syntaxhighlight lang=mathematica>Result: Indeterminate | Test Values: {a[k] = 1/2*3^(1/2)+1/2*I, s[k] = 1/2*3^(1/2)+1/2*I, k = 1, n = 2}</syntaxhighlight><br>... skip entries to safe data</div></div> || <div class="toccolours mw-collapsible mw-collapsed">Failed [297 / 300]<div class="mw-collapsible-content"><syntaxhighlight lang=mathematica>Result: Indeterminate | ||
Latest revision as of 12:06, 28 June 2021
| DLMF | Formula | Constraints | Maple | Mathematica | Symbolic Maple |
Symbolic Mathematica |
Numeric Maple |
Numeric Mathematica |
|---|---|---|---|---|---|---|---|---|
| 27.10.E7 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle s_{k}(n) = \sum_{m=1}^{k}a_{k}(m)e^{2\cpi\iunit mn/k}}
s_{k}(n) = \sum_{m=1}^{k}a_{k}(m)e^{2\cpi\iunit mn/k} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | s[k](n) = sum(a[k](m)* exp(2*Pi*I*m*n/k), m = 1..k)
|
Subscript[s, k][n] == Sum[Subscript[a, k][m]* Exp[2*Pi*I*m*n/k], {m, 1, k}, GenerateConditions->None]
|
Failure | Failure | Failed [297 / 300] Result: 2971422279.-5146654356.*I
Test Values: {a[k] = 1/2*3^(1/2)+1/2*I, s[k] = 1/2*3^(1/2)+1/2*I, k = 1, n = 1}
Result: -1114283352.+1929995386.*I
Test Values: {a[k] = 1/2*3^(1/2)+1/2*I, s[k] = 1/2*3^(1/2)+1/2*I, k = 1, n = 2}
... skip entries to safe data |
Failed [297 / 300]
Result: Indeterminate
Test Values: {Rule[k, 1], Rule[n, 1], Rule[Subscript[a, k], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[s, k], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}
Result: Indeterminate
Test Values: {Rule[k, 1], Rule[n, 2], Rule[Subscript[a, k], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[s, k], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}
... skip entries to safe data |