DLMF:17.2.E36 (Q5326): 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.m1aldec

Revision as of 14:50, 2 January 2020

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DLMF:17.2.E36
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    Statements

    j = 0 n ( n j ) ( - z ) j = ( 1 - z ) n . superscript subscript 𝑗 0 𝑛 binomial 𝑛 𝑗 superscript 𝑧 𝑗 superscript 1 𝑧 𝑛 {\displaystyle{\displaystyle\sum_{j=0}^{n}\genfrac{(}{)}{0.0pt}{}{n}{j}(-z)^{j% }=(1-z)^{n}.}}
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    DLMF:17.2.E36
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    ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}
    C1.S2.SS1.m1aldec
    0 references