DLMF:30.15.E8 (Q8950): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: Q12409 / rank
 
Normal rank
Property / Symbols used: Q12409 / qualifier
 
Defining formula:

n m 𝑛 𝑚 {\displaystyle{\displaystyle n\geq m}}

n\geq m
Property / Symbols used: Q12409 / qualifier
 
xml-id: C30.S1.XMD5.m1fdec
Property / Symbols used
 
Property / Symbols used: function (locally) / rank
 
Normal rank
Property / Symbols used: function (locally) / qualifier
 
Defining formula:

ϕ n ( t ) subscript italic-ϕ 𝑛 𝑡 {\displaystyle{\displaystyle\phi_{n}(t)}}

\phi_{n}(t)
Property / Symbols used: function (locally) / qualifier
 
xml-id: C30.S15.XMD3.m1edec

Latest revision as of 13:23, 2 January 2020

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DLMF:30.15.E8
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    Statements

    - ϕ k ( t ) ϕ n ( t ) d t = δ k , n . superscript subscript subscript italic-ϕ 𝑘 𝑡 subscript italic-ϕ 𝑛 𝑡 𝑡 Kronecker 𝑘 𝑛 {\displaystyle{\displaystyle\int_{-\infty}^{\infty}\phi_{k}(t)\phi_{n}(t)% \mathrm{d}t=\delta_{k,n}.}}
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    DLMF:30.15.E8
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    δ j , k Kronecker 𝑗 𝑘 {\displaystyle{\displaystyle\delta_{\NVar{j},\NVar{k}}}}
    introduction.Sx4.p1.t1.r4.m5aadec
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    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1addec
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    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3addec
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    n m 𝑛 𝑚 {\displaystyle{\displaystyle n\geq m}}
    C30.S1.XMD5.m1fdec
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    ϕ n ( t ) subscript italic-ϕ 𝑛 𝑡 {\displaystyle{\displaystyle\phi_{n}(t)}}
    C30.S15.XMD3.m1edec
    0 references