DLMF:26.11.E3 (Q7906): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(One intermediate revision by the same user not shown)
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.m1adec
Property / Symbols used
 
Property / Symbols used: Q12172 / rank
 
Normal rank
Property / Symbols used: Q12172 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q12172 / qualifier
 
xml-id: C26.S1.XMD6.m1dec

Latest revision as of 14:02, 2 January 2020

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DLMF:26.11.E3
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    Statements

    c m ( n ) = ( n - 1 m - 1 ) , number-of-compositions-C-into-parts 𝑚 𝑛 binomial 𝑛 1 𝑚 1 {\displaystyle{\displaystyle c_{m}\left(n\right)=\genfrac{(}{)}{0.0pt}{}{n-1}{% m-1},}}
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    DLMF:26.11.E3
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    ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}
    C1.S2.SS1.m1adec
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    c m ( n ) number-of-compositions-C-into-parts 𝑚 𝑛 {\displaystyle{\displaystyle c_{\NVar{m}}\left(\NVar{n}\right)}}
    C26.S11.p1.m5aadec
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    m 𝑚 {\displaystyle{\displaystyle m}}
    C26.S1.XMD5.m1adec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C26.S1.XMD6.m1dec
    0 references