19.19: Difference between revisions

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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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|- style="background: #dfe6e9;"
| [https://dlmf.nist.gov/19.19#Ex1 19.19#Ex1] || [[Item:Q6368|<math>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 || - || -
| [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] || [[Item:Q6369|<math>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 || - || -
| [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 || - || -
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|- style="background: #dfe6e9;"
| [https://dlmf.nist.gov/19.19#Ex3 19.19#Ex3] || [[Item:Q6370|<math>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 || - || -
| [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 || - || -
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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 A = 1 n j = 1 n z j 𝐴 1 𝑛 superscript subscript 𝑗 1 𝑛 subscript 𝑧 𝑗 {\displaystyle{\displaystyle A=\frac{1}{n}\sum_{j=1}^{n}z_{j}}}
A = \frac{1}{n}\sum_{j=1}^{n}z_{j}

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 Z j = 1 - ( z j / A ) subscript 𝑍 𝑗 1 subscript 𝑧 𝑗 𝐴 {\displaystyle{\displaystyle Z_{j}=1-(z_{j}/A)}}
Z_{j} = 1-(z_{j}/A)

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 E 1 ( 𝐙 ) = 0 subscript 𝐸 1 𝐙 0 {\displaystyle{\displaystyle E_{1}(\mathbf{Z})=0}}
E_{1}(\mathbf{Z}) = 0
| Z j | < 1 subscript 𝑍 𝑗 1 {\displaystyle{\displaystyle|Z_{j}|<1}}
E[1](Z) = 0
Subscript[E, 1][Z] == 0
Skipped - no semantic math Skipped - no semantic math - -