14.14: 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 | ||
|- style="background: #dfe6e9;" | |- style="background: #dfe6e9;" | ||
| [https://dlmf.nist.gov/14.14#Ex1 14.14#Ex1] | | | [https://dlmf.nist.gov/14.14#Ex1 14.14#Ex1] || <math qid="Q4842">x_{k} = \tfrac{1}{4}(\nu-\mu-k+1)(\nu+\mu+k)\left(x^{2}-1\right)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>x_{k} = \tfrac{1}{4}(\nu-\mu-k+1)(\nu+\mu+k)\left(x^{2}-1\right)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">x[k] = (1)/(4)*(nu - mu - k + 1)*(nu + mu + k)*((x)^(2)- 1)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[x, k] == Divide[1,4]*(\[Nu]- \[Mu]- k + 1)*(\[Nu]+ \[Mu]+ k)*((x)^(2)- 1)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || - | ||
|- style="background: #dfe6e9;" | |- style="background: #dfe6e9;" | ||
| [https://dlmf.nist.gov/14.14#Ex2 14.14#Ex2] | | | [https://dlmf.nist.gov/14.14#Ex2 14.14#Ex2] || <math qid="Q4843">y_{k} = (\mu+k)x</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>y_{k} = (\mu+k)x</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">y[k] = (mu + k)*x</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[y, k] == (\[Mu]+ k)*x</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || - | ||
|- style="background: #dfe6e9;" | |- style="background: #dfe6e9;" | ||
| [https://dlmf.nist.gov/14.14#Ex3 14.14#Ex3] | | | [https://dlmf.nist.gov/14.14#Ex3 14.14#Ex3] || <math qid="Q4845">x_{k} = (\nu+\mu+k)(\nu-\mu+k)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>x_{k} = (\nu+\mu+k)(\nu-\mu+k)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">x[k] = (nu + mu + k)*(nu - mu + k)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[x, k] == (\[Nu]+ \[Mu]+ k)*(\[Nu]- \[Mu]+ k)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || - | ||
|- style="background: #dfe6e9;" | |- style="background: #dfe6e9;" | ||
| [https://dlmf.nist.gov/14.14#Ex4 14.14#Ex4] | | | [https://dlmf.nist.gov/14.14#Ex4 14.14#Ex4] || <math qid="Q4846">y_{k} = (2\nu+2k+1)x</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>y_{k} = (2\nu+2k+1)x</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">y[k] = (2*nu + 2*k + 1)*x</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[y, k] == (2*\[Nu]+ 2*k + 1)*x</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || - | ||
|} | |} | ||
</div> | </div> | ||
Latest revision as of 11:37, 28 June 2021
| DLMF | Formula | Constraints | Maple | Mathematica | Symbolic Maple |
Symbolic Mathematica |
Numeric Maple |
Numeric Mathematica |
|---|---|---|---|---|---|---|---|---|
| 14.14#Ex1 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x_{k} = \tfrac{1}{4}(\nu-\mu-k+1)(\nu+\mu+k)\left(x^{2}-1\right)}
x_{k} = \tfrac{1}{4}(\nu-\mu-k+1)(\nu+\mu+k)\left(x^{2}-1\right) |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | x[k] = (1)/(4)*(nu - mu - k + 1)*(nu + mu + k)*((x)^(2)- 1) |
Subscript[x, k] == Divide[1,4]*(\[Nu]- \[Mu]- k + 1)*(\[Nu]+ \[Mu]+ k)*((x)^(2)- 1) |
Skipped - no semantic math | Skipped - no semantic math | - | - |
| 14.14#Ex2 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle y_{k} = (\mu+k)x}
y_{k} = (\mu+k)x |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | y[k] = (mu + k)*x |
Subscript[y, k] == (\[Mu]+ k)*x |
Skipped - no semantic math | Skipped - no semantic math | - | - |
| 14.14#Ex3 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x_{k} = (\nu+\mu+k)(\nu-\mu+k)}
x_{k} = (\nu+\mu+k)(\nu-\mu+k) |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | x[k] = (nu + mu + k)*(nu - mu + k) |
Subscript[x, k] == (\[Nu]+ \[Mu]+ k)*(\[Nu]- \[Mu]+ k) |
Skipped - no semantic math | Skipped - no semantic math | - | - |
| 14.14#Ex4 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle y_{k} = (2\nu+2k+1)x}
y_{k} = (2\nu+2k+1)x |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | y[k] = (2*nu + 2*k + 1)*x |
Subscript[y, k] == (2*\[Nu]+ 2*k + 1)*x |
Skipped - no semantic math | Skipped - no semantic math | - | - |