DLMF:26.15.E10 (Q7977): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10754 / rank
 
Normal rank
Property / Symbols used: Q10754 / qualifier
 
Defining formula:

( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}

\binom{\NVar{m}}{\NVar{n}}
Property / Symbols used: Q10754 / qualifier
 
xml-id: C1.S2.SS1.m1aadec

Revision as of 14:11, 2 January 2020

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DLMF:26.15.E10
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    Statements

    2 ( n ! ) N 0 ( B ) = 2 ( n ! ) k = 0 n ( - 1 ) k 2 n 2 n - k ( 2 n - k k ) ( n - k ) ! . 2 𝑛 subscript 𝑁 0 𝐵 2 𝑛 superscript subscript 𝑘 0 𝑛 superscript 1 𝑘 2 𝑛 2 𝑛 𝑘 binomial 2 𝑛 𝑘 𝑘 𝑛 𝑘 {\displaystyle{\displaystyle 2(n!)N_{0}(B)=2(n!)\sum_{k=0}^{n}(-1)^{k}\frac{2n% }{2n-k}\genfrac{(}{)}{0.0pt}{}{2n-k}{k}{(n-k)!}.}}
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    DLMF:26.15.E10
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    ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}
    C1.S2.SS1.m1aadec
    0 references