26.11: 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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| [https://dlmf.nist.gov/26.11.E2 26.11.E2] || [[Item:Q7905|<math>\ncompositions[m]@{0} = \Kroneckerdelta{0}{m}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\ncompositions[m]@{0} = \Kroneckerdelta{0}{m}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>numbcomp(0, m) = KroneckerDelta[0, m]</syntaxhighlight> || <syntaxhighlight lang=mathematica>Error</syntaxhighlight> || Error || Missing Macro Error || - || -
| [https://dlmf.nist.gov/26.11.E2 26.11.E2] || <math qid="Q7905">\ncompositions[m]@{0} = \Kroneckerdelta{0}{m}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\ncompositions[m]@{0} = \Kroneckerdelta{0}{m}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>numbcomp(0, m) = KroneckerDelta[0, m]</syntaxhighlight> || <syntaxhighlight lang=mathematica>Error</syntaxhighlight> || Error || Missing Macro Error || - || -
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| [https://dlmf.nist.gov/26.11.E3 26.11.E3] || [[Item:Q7906|<math>\ncompositions[m]@{n} = \binom{n-1}{m-1}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\ncompositions[m]@{n} = \binom{n-1}{m-1}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>numbcomp(n, m) = binomial(n - 1,m - 1)</syntaxhighlight> || <syntaxhighlight lang=mathematica>Error</syntaxhighlight> || Error || Missing Macro Error || - || -
| [https://dlmf.nist.gov/26.11.E3 26.11.E3] || <math qid="Q7906">\ncompositions[m]@{n} = \binom{n-1}{m-1}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\ncompositions[m]@{n} = \binom{n-1}{m-1}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>numbcomp(n, m) = binomial(n - 1,m - 1)</syntaxhighlight> || <syntaxhighlight lang=mathematica>Error</syntaxhighlight> || Error || Missing Macro Error || - || -
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| [https://dlmf.nist.gov/26.11.E4 26.11.E4] || [[Item:Q7907|<math>\sum_{n=0}^{\infty}\ncompositions[m]@{n}q^{n} = \frac{q^{m}}{(1-q)^{m}}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\sum_{n=0}^{\infty}\ncompositions[m]@{n}q^{n} = \frac{q^{m}}{(1-q)^{m}}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>sum(numbcomp(n, m)*(q)^(n), n = 0..infinity) = ((q)^(m))/((1 - q)^(m))</syntaxhighlight> || <syntaxhighlight lang=mathematica>Error</syntaxhighlight> || Error || Missing Macro Error || - || -
| [https://dlmf.nist.gov/26.11.E4 26.11.E4] || <math qid="Q7907">\sum_{n=0}^{\infty}\ncompositions[m]@{n}q^{n} = \frac{q^{m}}{(1-q)^{m}}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\sum_{n=0}^{\infty}\ncompositions[m]@{n}q^{n} = \frac{q^{m}}{(1-q)^{m}}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>sum(numbcomp(n, m)*(q)^(n), n = 0..infinity) = ((q)^(m))/((1 - q)^(m))</syntaxhighlight> || <syntaxhighlight lang=mathematica>Error</syntaxhighlight> || Error || Missing Macro Error || - || -
|- style="background: #dfe6e9;"
|- style="background: #dfe6e9;"
| [https://dlmf.nist.gov/26.11#Ex1 26.11#Ex1] || [[Item:Q7908|<math>F_{0} = 0</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>F_{0} = 0</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">F[0] = 0</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[F, 0] == 0</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/26.11#Ex1 26.11#Ex1] || <math qid="Q7908">F_{0} = 0</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>F_{0} = 0</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">F[0] = 0</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[F, 0] == 0</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
|- style="background: #dfe6e9;"
|- style="background: #dfe6e9;"
| [https://dlmf.nist.gov/26.11#Ex2 26.11#Ex2] || [[Item:Q7909|<math>F_{1} = 1</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>F_{1} = 1</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">F[1] = 1</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[F, 1] == 1</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/26.11#Ex2 26.11#Ex2] || <math qid="Q7909">F_{1} = 1</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>F_{1} = 1</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">F[1] = 1</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[F, 1] == 1</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
|- style="background: #dfe6e9;"
|- style="background: #dfe6e9;"
| [https://dlmf.nist.gov/26.11#Ex3 26.11#Ex3] || [[Item:Q7910|<math>F_{n} = F_{n-1}+F_{n-2}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>F_{n} = F_{n-1}+F_{n-2}</syntaxhighlight> || <math>n \geq 2</math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">F[n] = F[n - 1]+ F[n - 2]</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[F, n] == Subscript[F, n - 1]+ Subscript[F, n - 2]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/26.11#Ex3 26.11#Ex3] || <math qid="Q7910">F_{n} = F_{n-1}+F_{n-2}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>F_{n} = F_{n-1}+F_{n-2}</syntaxhighlight> || <math>n \geq 2</math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">F[n] = F[n - 1]+ F[n - 2]</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[F, n] == Subscript[F, n - 1]+ Subscript[F, n - 2]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
|- style="background: #dfe6e9;"
|- style="background: #dfe6e9;"
| [https://dlmf.nist.gov/26.11.E7 26.11.E7] || [[Item:Q7912|<math>F_{n} = \frac{(1+\sqrt{5})^{n}-(1-\sqrt{5})^{n}}{2^{n}\,\sqrt{5}}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>F_{n} = \frac{(1+\sqrt{5})^{n}-(1-\sqrt{5})^{n}}{2^{n}\,\sqrt{5}}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">F[n] = ((1 +sqrt(5))^(n)-(1 -sqrt(5))^(n))/((2)^(n)*sqrt(5))</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[F, n] == Divide[(1 +Sqrt[5])^(n)-(1 -Sqrt[5])^(n),(2)^(n)*Sqrt[5]]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/26.11.E7 26.11.E7] || <math qid="Q7912">F_{n} = \frac{(1+\sqrt{5})^{n}-(1-\sqrt{5})^{n}}{2^{n}\,\sqrt{5}}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>F_{n} = \frac{(1+\sqrt{5})^{n}-(1-\sqrt{5})^{n}}{2^{n}\,\sqrt{5}}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">F[n] = ((1 +sqrt(5))^(n)-(1 -sqrt(5))^(n))/((2)^(n)*sqrt(5))</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[F, n] == Divide[(1 +Sqrt[5])^(n)-(1 -Sqrt[5])^(n),(2)^(n)*Sqrt[5]]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
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Latest revision as of 12:06, 28 June 2021


DLMF Formula Constraints Maple Mathematica Symbolic
Maple 		Symbolic
Mathematica 		Numeric
Maple 		Numeric
Mathematica
26.11.E2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ncompositions[m]@{0} = \Kroneckerdelta{0}{m}}
\ncompositions[m]@{0} = \Kroneckerdelta{0}{m}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
numbcomp(0, m) = KroneckerDelta[0, m]

Error
Error Missing Macro Error - -
26.11.E3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ncompositions[m]@{n} = \binom{n-1}{m-1}}
\ncompositions[m]@{n} = \binom{n-1}{m-1}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
numbcomp(n, m) = binomial(n - 1,m - 1)

Error
Error Missing Macro Error - -
26.11.E4 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sum_{n=0}^{\infty}\ncompositions[m]@{n}q^{n} = \frac{q^{m}}{(1-q)^{m}}}
\sum_{n=0}^{\infty}\ncompositions[m]@{n}q^{n} = \frac{q^{m}}{(1-q)^{m}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
sum(numbcomp(n, m)*(q)^(n), n = 0..infinity) = ((q)^(m))/((1 - q)^(m))

Error
Error Missing Macro Error - -
26.11#Ex1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle F_{0} = 0}
F_{0} = 0		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
F[0] = 0
 
Subscript[F, 0] == 0
 Skipped - no semantic math Skipped - no semantic math - -
26.11#Ex2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle F_{1} = 1}
F_{1} = 1		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
F[1] = 1
 
Subscript[F, 1] == 1
 Skipped - no semantic math Skipped - no semantic math - -
26.11#Ex3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle F_{n} = F_{n-1}+F_{n-2}}
F_{n} = F_{n-1}+F_{n-2}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n \geq 2} 
F[n] = F[n - 1]+ F[n - 2]
 
Subscript[F, n] == Subscript[F, n - 1]+ Subscript[F, n - 2]
 Skipped - no semantic math Skipped - no semantic math - -
26.11.E7 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle F_{n} = \frac{(1+\sqrt{5})^{n}-(1-\sqrt{5})^{n}}{2^{n}\,\sqrt{5}}}
F_{n} = \frac{(1+\sqrt{5})^{n}-(1-\sqrt{5})^{n}}{2^{n}\,\sqrt{5}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
F[n] = ((1 +sqrt(5))^(n)-(1 -sqrt(5))^(n))/((2)^(n)*sqrt(5))
 
Subscript[F, n] == Divide[(1 +Sqrt[5])^(n)-(1 -Sqrt[5])^(n),(2)^(n)*Sqrt[5]]
 Skipped - no semantic math Skipped - no semantic math - -
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