DLMF:5.20.E1 (Q2206): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(2 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q11274 / rank
 
Normal rank
Property / Symbols used: Q11274 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11274 / qualifier
 
xml-id: C5.S1.XMD3.m1dec
Property / Symbols used
 
Property / Symbols used: Q11281 / rank
 
Normal rank
Property / Symbols used: Q11281 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11281 / qualifier
 
xml-id: C5.S1.XMD5.m1dec
Property / Symbols used
 
Property / Symbols used: Q11300 / rank
 
Normal rank
Property / Symbols used: Q11300 / qualifier
 
Defining formula:

W 𝑊 {\displaystyle{\displaystyle W}}

W
Property / Symbols used: Q11300 / qualifier
 
xml-id: C5.S20.XMD1.m1dec

Latest revision as of 01:11, 2 January 2020

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DLMF:5.20.E1
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    Statements

    W = 1 2 = 1 n x 2 - 1 < j n ln | x - x j | . 𝑊 1 2 superscript subscript 1 𝑛 superscript subscript 𝑥 2 subscript 1 𝑗 𝑛 subscript 𝑥 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}|.}}
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    DLMF:5.20.E1
    0 references
    ln z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    C4.S2.E2.m2adec
    0 references
    j 𝑗 {\displaystyle{\displaystyle j}}
    C5.S1.XMD1.m1dec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C5.S1.XMD3.m1dec
    0 references
    x 𝑥 {\displaystyle{\displaystyle x}}
    C5.S1.XMD5.m1dec
    0 references
    W 𝑊 {\displaystyle{\displaystyle W}}
    C5.S20.XMD1.m1dec
    0 references