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

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q12171 / rank
 
Normal rank
Property / Symbols used: Q12171 / qualifier
 
Defining formula:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q12171 / qualifier
 
xml-id: C26.S1.XMD5.m1gdec

Revision as of 01:08, 2 January 2020

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DLMF:26.3.E6
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    Statements

    Defining formula
    ( 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},}}
    0 references
    DLMF id
    DLMF:26.3.E6
    0 references
    constraint
    m ≥ n ≥ 1 𝑚 𝑛 1 {\displaystyle{\displaystyle m\geq n\geq 1}}
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    Symbols used
    Q10754
    Defining formula
    ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}
    xml-id
    C1.S2.SS1.m1agdec
    0 references
    Q12171
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C26.S1.XMD5.m1gdec
    0 references
     
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