DLMF:26.14.E1 (Q7952): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q12214 / rank
 
Normal rank
Property / Symbols used: Q12214 / qualifier
 
Defining formula:

σ 𝜎 {\displaystyle{\displaystyle\sigma}}

\sigma
Property / Symbols used: Q12214 / qualifier
 
xml-id: C26.S14.XMD1.m1dec

Latest revision as of 14:07, 2 January 2020

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DLMF:26.14.E1
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    Statements

    Defining formula
    inv ( σ ) = ∑ 1 ≤ j < k ≤ n σ ⁢ ( j ) > σ ⁢ ( k ) 1 . inv 𝜎 subscript 1 𝑗 𝑘 𝑛 𝜎 𝑗 𝜎 𝑘 1 {\displaystyle{\displaystyle\mathop{\mathrm{inv}}(\sigma)=\sum_{% \begin{subarray}{c}1\leq j<k\leq n\\ \sigma(j)>\sigma(k)\end{subarray}}1.}}
    0 references
    DLMF id
    DLMF:26.14.E1
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    Symbols used
    Q12176
    Defining formula
    j 𝑗 {\displaystyle{\displaystyle j}}
    xml-id
    C26.S1.XMD3.m1dec
    0 references
    Q12174
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C26.S1.XMD4.m1dec
    0 references
    Q12172
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C26.S1.XMD6.m1dec
    0 references
    Q12214
    Defining formula
    σ 𝜎 {\displaystyle{\displaystyle\sigma}}
    xml-id
    C26.S14.XMD1.m1dec
    0 references
     
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