DLMF:26.4.E6 (Q7791): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q12179 / rank
 
Normal rank
Property / Symbols used: Q12179 / qualifier
 
Defining formula:

M 1 subscript 𝑀 1 {\displaystyle{\displaystyle M_{1}}}

M_{1}
Property / Symbols used: Q12179 / qualifier
 
xml-id: C26.S4.XMD3.m1dec

Latest revision as of 01:09, 2 January 2020

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DLMF:26.4.E6
No description defined

    Statements

    Defining formula
    M 1 = ( n 1 , … , 1 ⏞ a 1 , … , n , … , n ⏞ a n ) = n ! ( 1 ! ) a 1 ⁢ ( 2 ! ) a 2 ⁢ ⋯ ⁢ ( n ! ) a n . subscript 𝑀 1 𝑛 superscript ⏞ 1 … 1 subscript 𝑎 1 … superscript ⏞ 𝑛 … 𝑛 subscript 𝑎 𝑛 𝑛 superscript 1 subscript 𝑎 1 superscript 2 subscript 𝑎 2 ⋯ superscript 𝑛 subscript 𝑎 𝑛 {\displaystyle{\displaystyle M_{1}=\begin{pmatrix}n\\ \overbrace{1,\ldots,1}^{a_{1}},\ldots,\overbrace{n,\ldots,n}^{a_{n}}\end{% pmatrix}=\frac{n!}{(1!)^{a_{1}}(2!)^{a_{2}}\cdots(n!)^{a_{n}}}.}}
    0 references
    DLMF id
    DLMF:26.4.E6
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    Symbols used
    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5aadec
    0 references
    Q12172
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C26.S1.XMD6.m1edec
    0 references
    Q12177
    Defining formula
    a n subscript 𝑎 𝑛 {\displaystyle{\displaystyle a_{n}}}
    xml-id
    C26.S4.XMD1.m1cdec
    0 references
    Q12179
    Defining formula
    M 1 subscript 𝑀 1 {\displaystyle{\displaystyle M_{1}}}
    xml-id
    C26.S4.XMD3.m1dec
    0 references
     
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