DLMF:5.20.E1 (Q2206)

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DLMF:5.20.E1
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    Statements

    Defining formula
    W = 1 2 ⁢ ∑ ℓ = 1 n x ℓ 2 - ∑ 1 ≤ ℓ < j ≤ n ln ⁡ | x ℓ - x j | . 𝑊 1 2 superscript subscript ℓ 1 𝑛 superscript subscript 𝑥 ℓ 2 subscript 1 ℓ 𝑗 𝑛 subscript 𝑥 ℓ subscript 𝑥 𝑗 {\displaystyle{\displaystyle W=\frac{1}{2}\sum_{\ell=1}^{n}x_{\ell}^{2}-\sum_{% 1\leq\ell<j\leq n}\ln|x_{\ell}-x_{j}|.}}
    0 references
    DLMF id
    DLMF:5.20.E1
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    Symbols used
    principal branch of logarithm function
    Defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2adec
    0 references
    Q11292
    Defining formula
    j 𝑗 {\displaystyle{\displaystyle j}}
    xml-id
    C5.S1.XMD1.m1dec
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    Q11274
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C5.S1.XMD3.m1dec
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    Q11281
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C5.S1.XMD5.m1dec
    0 references
    Q11300
    Defining formula
    W 𝑊 {\displaystyle{\displaystyle W}}
    xml-id
    C5.S20.XMD1.m1dec
    0 references
     
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