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DLMF:26.14.E1
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Formula:8645
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MaRDI QID
Q8645
Label: DLMF:26.14.E1
Digital Library of Mathematical Functions ID
26.14.E1
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.}}
Constraint(s)
Symbols List
j
𝑗
{\displaystyle{\displaystyle j}}
: nonnegative integer
k
𝑘
{\displaystyle{\displaystyle k}}
: nonnegative integer
n
𝑛
{\displaystyle{\displaystyle n}}
: nonnegative integer
σ
𝜎
{\displaystyle{\displaystyle\sigma}}
: permutation
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