26.4: 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 | ||
|- | |- | ||
| [https://dlmf.nist.gov/26.4.E1 26.4.E1] | | | [https://dlmf.nist.gov/26.4.E1 26.4.E1] || <math qid="Q7786">\multinomial{n_{1}+n_{2}}{n_{1},n_{2}} = \binom{n_{1}+n_{2}}{n_{1}}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\multinomial{n_{1}+n_{2}}{n_{1},n_{2}} = \binom{n_{1}+n_{2}}{n_{1}}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>multinomial(n[1]+ n[2], n[1], n[2]) = binomial(n[1]+ n[2],n[1])</syntaxhighlight> || <syntaxhighlight lang=mathematica>Multinomial[Subscript[n, 1]+ Subscript[n, 2]] == Binomial[Subscript[n, 1]+ Subscript[n, 2],Subscript[n, 1]]</syntaxhighlight> || Failure || Failure || Error || <div class="toccolours mw-collapsible mw-collapsed">Failed [100 / 100]<div class="mw-collapsible-content"><syntaxhighlight lang=mathematica>Result: Complex[-0.4855310647423219, -0.7913166384345096] | ||
Test Values: {Rule[Subscript[n, 1], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[n, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}</syntaxhighlight><br><syntaxhighlight lang=mathematica>Result: Complex[0.5823425344168771, -0.5778520047366285] | Test Values: {Rule[Subscript[n, 1], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[n, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}</syntaxhighlight><br><syntaxhighlight lang=mathematica>Result: Complex[0.5823425344168771, -0.5778520047366285] | ||
Test Values: {Rule[Subscript[n, 1], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[n, 2], Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}</syntaxhighlight><br>... skip entries to safe data</div></div> | Test Values: {Rule[Subscript[n, 1], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[n, 2], Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}</syntaxhighlight><br>... skip entries to safe data</div></div> | ||
|- | |- | ||
| [https://dlmf.nist.gov/26.4.E1 26.4.E1] | | | [https://dlmf.nist.gov/26.4.E1 26.4.E1] || <math qid="Q7786">\binom{n_{1}+n_{2}}{n_{1}} = \binom{n_{1}+n_{2}}{n_{2}}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\binom{n_{1}+n_{2}}{n_{1}} = \binom{n_{1}+n_{2}}{n_{2}}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>binomial(n[1]+ n[2],n[1]) = binomial(n[1]+ n[2],n[2])</syntaxhighlight> || <syntaxhighlight lang=mathematica>Binomial[Subscript[n, 1]+ Subscript[n, 2],Subscript[n, 1]] == Binomial[Subscript[n, 1]+ Subscript[n, 2],Subscript[n, 2]]</syntaxhighlight> || Failure || Successful || Error || <div class="toccolours mw-collapsible mw-collapsed">Failed [6 / 100]<div class="mw-collapsible-content"><syntaxhighlight lang=mathematica>Result: Indeterminate | ||
Test Values: {Rule[Subscript[n, 1], -1.5], Rule[Subscript[n, 2], -1.5]}</syntaxhighlight><br><syntaxhighlight lang=mathematica>Result: Indeterminate | Test Values: {Rule[Subscript[n, 1], -1.5], Rule[Subscript[n, 2], -1.5]}</syntaxhighlight><br><syntaxhighlight lang=mathematica>Result: Indeterminate | ||
Test Values: {Rule[Subscript[n, 1], -1.5], Rule[Subscript[n, 2], -0.5]}</syntaxhighlight><br>... skip entries to safe data</div></div> | Test Values: {Rule[Subscript[n, 1], -1.5], Rule[Subscript[n, 2], -0.5]}</syntaxhighlight><br>... skip entries to safe data</div></div> | ||
|} | |} | ||
</div> | </div> | ||
Latest revision as of 12:05, 28 June 2021
| DLMF | Formula | Constraints | Maple | Mathematica | Symbolic Maple |
Symbolic Mathematica |
Numeric Maple |
Numeric Mathematica |
|---|---|---|---|---|---|---|---|---|
| 26.4.E1 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \multinomial{n_{1}+n_{2}}{n_{1},n_{2}} = \binom{n_{1}+n_{2}}{n_{1}}}
\multinomial{n_{1}+n_{2}}{n_{1},n_{2}} = \binom{n_{1}+n_{2}}{n_{1}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | multinomial(n[1]+ n[2], n[1], n[2]) = binomial(n[1]+ n[2],n[1])
|
Multinomial[Subscript[n, 1]+ Subscript[n, 2]] == Binomial[Subscript[n, 1]+ Subscript[n, 2],Subscript[n, 1]]
|
Failure | Failure | Error | Failed [100 / 100]
Result: Complex[-0.4855310647423219, -0.7913166384345096]
Test Values: {Rule[Subscript[n, 1], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[n, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}
Result: Complex[0.5823425344168771, -0.5778520047366285]
Test Values: {Rule[Subscript[n, 1], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[n, 2], Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}
... skip entries to safe data |
| 26.4.E1 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \binom{n_{1}+n_{2}}{n_{1}} = \binom{n_{1}+n_{2}}{n_{2}}}
\binom{n_{1}+n_{2}}{n_{1}} = \binom{n_{1}+n_{2}}{n_{2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | binomial(n[1]+ n[2],n[1]) = binomial(n[1]+ n[2],n[2])
|
Binomial[Subscript[n, 1]+ Subscript[n, 2],Subscript[n, 1]] == Binomial[Subscript[n, 1]+ Subscript[n, 2],Subscript[n, 2]]
|
Failure | Successful | Error | Failed [6 / 100]
Result: Indeterminate
Test Values: {Rule[Subscript[n, 1], -1.5], Rule[Subscript[n, 2], -1.5]}
Result: Indeterminate
Test Values: {Rule[Subscript[n, 1], -1.5], Rule[Subscript[n, 2], -0.5]}
... skip entries to safe data |