DLMF:26.3.E6 (Q7779): Difference between revisions

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Property / constraint
 

m n 1 𝑚 𝑛 1 {\displaystyle{\displaystyle m\geq n\geq 1}}

m\geq n\geq 1
Property / constraint: m n 1 𝑚 𝑛 1 {\displaystyle{\displaystyle m\geq n\geq 1}} / rank
 
Normal rank

Revision as of 18:19, 30 December 2019

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DLMF:26.3.E6
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    ( m n ) = m n ( m - 1 n - 1 ) = m - n + 1 n ( m n - 1 ) , binomial 𝑚 𝑛 𝑚 𝑛 binomial 𝑚 1 𝑛 1 𝑚 𝑛 1 𝑛 binomial 𝑚 𝑛 1 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{m}{n}=\frac{m}{n}\genfrac{% (}{)}{0.0pt}{}{m-1}{n-1}=\frac{m-n+1}{n}\genfrac{(}{)}{0.0pt}{}{m}{n-1},}}
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    DLMF:26.3.E6
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    m n 1 𝑚 𝑛 1 {\displaystyle{\displaystyle m\geq n\geq 1}}
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