DLMF:3.11.E39 (Q1487): Difference between revisions

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Property / constraint
 

k = 0 , 1 , , n - 1 𝑘 0 1 𝑛 1 {\displaystyle{\displaystyle k=0,1,\dots,n-1}}

k=0,1,\dots,n-1
Property / constraint: k = 0 , 1 , , n - 1 𝑘 0 1 𝑛 1 {\displaystyle{\displaystyle k=0,1,\dots,n-1}} / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: complex conjugate / rank
 
Normal rank
Property / Symbols used: complex conjugate / qualifier
 
test:

z ¯ 𝑧 {\displaystyle{\displaystyle\overline{\NVar{z}}}}

\conj{\NVar{z}}
Property / Symbols used: complex conjugate / qualifier
 
xml-id: C1.S9.E11.m2aadec
Property / Symbols used
 
Property / Symbols used: Q11215 / rank
 
Normal rank
Property / Symbols used: Q11215 / qualifier
 
test:

ϕ k ( x ) subscript italic-ϕ 𝑘 𝑥 {\displaystyle{\displaystyle\phi_{k}(x)}}

\phi_{k}(x)
Property / Symbols used: Q11215 / qualifier
 
xml-id: C3.S11.XMD19.m1fdec

Latest revision as of 17:00, 1 January 2020

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DLMF:3.11.E39
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    Statements

    a k = 1 n j = 0 n - 1 f j ϕ k ( x j ) ¯ , subscript 𝑎 𝑘 1 𝑛 superscript subscript 𝑗 0 𝑛 1 subscript 𝑓 𝑗 subscript italic-ϕ 𝑘 subscript 𝑥 𝑗 {\displaystyle{\displaystyle a_{k}=\frac{1}{n}\sum_{j=0}^{n-1}f_{j}\overline{% \phi_{k}(x_{j})},}}
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    k = 0 , 1 , , n - 1 𝑘 0 1 𝑛 1 {\displaystyle{\displaystyle k=0,1,\dots,n-1}}
    0 references
    z ¯ 𝑧 {\displaystyle{\displaystyle\overline{\NVar{z}}}}
    C1.S9.E11.m2aadec
    0 references
    ϕ k ( x ) subscript italic-ϕ 𝑘 𝑥 {\displaystyle{\displaystyle\phi_{k}(x)}}
    C3.S11.XMD19.m1fdec
    0 references