15.7: 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/15.7#Ex1 15.7#Ex1] | | | [https://dlmf.nist.gov/15.7#Ex1 15.7#Ex1] || <math qid="Q5049">t_{n} = c+n</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>t_{n} = c+n</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">t[n] = c + n</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[t, n] == c + n</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || - | ||
|- style="background: #dfe6e9;" | |- style="background: #dfe6e9;" | ||
| [https://dlmf.nist.gov/15.7#Ex2 15.7#Ex2] | | | [https://dlmf.nist.gov/15.7#Ex2 15.7#Ex2] || <math qid="Q5050">u_{2n+1} = (a+n)(c-b+n)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>u_{2n+1} = (a+n)(c-b+n)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">u[2*n + 1] = (a + n)*(c - b + n)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[u, 2*n + 1] == (a + n)*(c - b + n)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || - | ||
|- style="background: #dfe6e9;" | |- style="background: #dfe6e9;" | ||
| [https://dlmf.nist.gov/15.7#Ex3 15.7#Ex3] | | | [https://dlmf.nist.gov/15.7#Ex3 15.7#Ex3] || <math qid="Q5051">u_{2n} = (b+n)(c-a+n)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>u_{2n} = (b+n)(c-a+n)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">u[2*n] = (b + n)*(c - a + n)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[u, 2*n] == (b + n)*(c - a + n)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || - | ||
|- style="background: #dfe6e9;" | |- style="background: #dfe6e9;" | ||
| [https://dlmf.nist.gov/15.7#Ex4 15.7#Ex4] | | | [https://dlmf.nist.gov/15.7#Ex4 15.7#Ex4] || <math qid="Q5053">v_{n} = c+n+(b-a+n+1)z</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>v_{n} = c+n+(b-a+n+1)z</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">v[n] = c + n +(b - a + n + 1)*z</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[v, n] == c + n +(b - a + n + 1)*z</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || - | ||
|- style="background: #dfe6e9;" | |- style="background: #dfe6e9;" | ||
| [https://dlmf.nist.gov/15.7#Ex5 15.7#Ex5] | | | [https://dlmf.nist.gov/15.7#Ex5 15.7#Ex5] || <math qid="Q5054">w_{n} = (b+n)(c-a+n)z</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>w_{n} = (b+n)(c-a+n)z</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w[n] = (b + n)*(c - a + n)*z</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[w, n] == (b + n)*(c - a + n)*z</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || - | ||
|- style="background: #dfe6e9;" | |- style="background: #dfe6e9;" | ||
| [https://dlmf.nist.gov/15.7#Ex6 15.7#Ex6] | | | [https://dlmf.nist.gov/15.7#Ex6 15.7#Ex6] || <math qid="Q5056">x_{n} = c+n-(a+b+2n+1)z</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>x_{n} = c+n-(a+b+2n+1)z</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">x[n] = c + n -(a + b + 2*n + 1)*(x + y*I)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[x, n] == c + n -(a + b + 2*n + 1)*(x + y*I)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || - | ||
|- style="background: #dfe6e9;" | |- style="background: #dfe6e9;" | ||
| [https://dlmf.nist.gov/15.7#Ex7 15.7#Ex7] | | | [https://dlmf.nist.gov/15.7#Ex7 15.7#Ex7] || <math qid="Q5057">y_{n} = (a+n)(b+n)z(1-z)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>y_{n} = (a+n)(b+n)z(1-z)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">y[n] = (a + n)*(b + n)*(x + y*I)*(1 -(x + y*I))</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[y, n] == (a + n)*(b + n)*(x + y*I)*(1 -(x + y*I))</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || - | ||
|} | |} | ||
</div> | </div> | ||
Latest revision as of 12:39, 28 June 2021
| DLMF | Formula | Constraints | Maple | Mathematica | Symbolic Maple |
Symbolic Mathematica |
Numeric Maple |
Numeric Mathematica |
|---|---|---|---|---|---|---|---|---|
| 15.7#Ex1 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle t_{n} = c+n}
t_{n} = c+n |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | t[n] = c + n |
Subscript[t, n] == c + n |
Skipped - no semantic math | Skipped - no semantic math | - | - |
| 15.7#Ex2 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle u_{2n+1} = (a+n)(c-b+n)}
u_{2n+1} = (a+n)(c-b+n) |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | u[2*n + 1] = (a + n)*(c - b + n) |
Subscript[u, 2*n + 1] == (a + n)*(c - b + n) |
Skipped - no semantic math | Skipped - no semantic math | - | - |
| 15.7#Ex3 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle u_{2n} = (b+n)(c-a+n)}
u_{2n} = (b+n)(c-a+n) |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | u[2*n] = (b + n)*(c - a + n) |
Subscript[u, 2*n] == (b + n)*(c - a + n) |
Skipped - no semantic math | Skipped - no semantic math | - | - |
| 15.7#Ex4 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle v_{n} = c+n+(b-a+n+1)z}
v_{n} = c+n+(b-a+n+1)z |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | v[n] = c + n +(b - a + n + 1)*z |
Subscript[v, n] == c + n +(b - a + n + 1)*z |
Skipped - no semantic math | Skipped - no semantic math | - | - |
| 15.7#Ex5 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle w_{n} = (b+n)(c-a+n)z}
w_{n} = (b+n)(c-a+n)z |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | w[n] = (b + n)*(c - a + n)*z |
Subscript[w, n] == (b + n)*(c - a + n)*z |
Skipped - no semantic math | Skipped - no semantic math | - | - |
| 15.7#Ex6 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x_{n} = c+n-(a+b+2n+1)z}
x_{n} = c+n-(a+b+2n+1)z |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | x[n] = c + n -(a + b + 2*n + 1)*(x + y*I) |
Subscript[x, n] == c + n -(a + b + 2*n + 1)*(x + y*I) |
Skipped - no semantic math | Skipped - no semantic math | - | - |
| 15.7#Ex7 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle y_{n} = (a+n)(b+n)z(1-z)}
y_{n} = (a+n)(b+n)z(1-z) |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | y[n] = (a + n)*(b + n)*(x + y*I)*(1 -(x + y*I)) |
Subscript[y, n] == (a + n)*(b + n)*(x + y*I)*(1 -(x + y*I)) |
Skipped - no semantic math | Skipped - no semantic math | - | - |