19.19: 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/19.19#Ex1 19.19#Ex1] | | | [https://dlmf.nist.gov/19.19#Ex1 19.19#Ex1] || <math qid="Q6368">A = \frac{1}{n}\sum_{j=1}^{n}z_{j}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A = \frac{1}{n}\sum_{j=1}^{n}z_{j}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">A = (1)/(n)*sum(z[j], j = 1..n)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">A == Divide[1,n]*Sum[Subscript[z, j], {j, 1, n}, GenerateConditions->None]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || - | ||
|- style="background: #dfe6e9;" | |- style="background: #dfe6e9;" | ||
| [https://dlmf.nist.gov/19.19#Ex2 19.19#Ex2] | | | [https://dlmf.nist.gov/19.19#Ex2 19.19#Ex2] || <math qid="Q6369">Z_{j} = 1-(z_{j}/A)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>Z_{j} = 1-(z_{j}/A)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Z[j] = 1 -(z[j]/A)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[Z, j] == 1 -(Subscript[z, j]/A)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || - | ||
|- style="background: #dfe6e9;" | |- style="background: #dfe6e9;" | ||
| [https://dlmf.nist.gov/19.19#Ex3 19.19#Ex3] | | | [https://dlmf.nist.gov/19.19#Ex3 19.19#Ex3] || <math qid="Q6370">E_{1}(\mathbf{Z}) = 0</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>E_{1}(\mathbf{Z}) = 0</syntaxhighlight> || <math>|Z_{j}| < 1</math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">E[1](Z) = 0</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[E, 1][Z] == 0</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || - | ||
|} | |} | ||
</div> | </div> | ||
Latest revision as of 11:51, 28 June 2021
| DLMF | Formula | Constraints | Maple | Mathematica | Symbolic Maple |
Symbolic Mathematica |
Numeric Maple |
Numeric Mathematica |
|---|---|---|---|---|---|---|---|---|
| 19.19#Ex1 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A = \frac{1}{n}\sum_{j=1}^{n}z_{j}}
A = \frac{1}{n}\sum_{j=1}^{n}z_{j} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | A = (1)/(n)*sum(z[j], j = 1..n) |
A == Divide[1,n]*Sum[Subscript[z, j], {j, 1, n}, GenerateConditions->None] |
Skipped - no semantic math | Skipped - no semantic math | - | - |
| 19.19#Ex2 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle Z_{j} = 1-(z_{j}/A)}
Z_{j} = 1-(z_{j}/A) |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Z[j] = 1 -(z[j]/A) |
Subscript[Z, j] == 1 -(Subscript[z, j]/A) |
Skipped - no semantic math | Skipped - no semantic math | - | - |
| 19.19#Ex3 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle E_{1}(\mathbf{Z}) = 0}
E_{1}(\mathbf{Z}) = 0 |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |Z_{j}| < 1} | E[1](Z) = 0 |
Subscript[E, 1][Z] == 0 |
Skipped - no semantic math | Skipped - no semantic math | - | - |