DLMF:2.6.E16 (Q841): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10784 / rank
 
Normal rank
Property / Symbols used: Q10784 / qualifier
 
Defining formula:

∈ {\displaystyle{\displaystyle\in}}

\in
Property / Symbols used: Q10784 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r10.m2addec

Revision as of 17:11, 1 January 2020

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DLMF:2.6.E16
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    Statements

    Defining formula
    ⟨ f n , ϕ ⟩ = ( - 1 ) n ⁢ ∫ 0 ∞ f n , n ⁢ ( t ) ⁢ ϕ ( n ) ⁢ ( t ) ⁢ d t , distribution subscript 𝑓 𝑛 italic-ϕ superscript 1 𝑛 superscript subscript 0 subscript 𝑓 𝑛 𝑛 𝑡 superscript italic-ϕ 𝑛 𝑡 𝑡 {\displaystyle{\displaystyle\left\langle f_{n},\phi\right\rangle=(-1)^{n}\int_% {0}^{\infty}f_{n,n}(t)\phi^{(n)}(t)\mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:2.6.E16
    0 references
    constraint
    ϕ ∈ 𝒯 italic-ϕ 𝒯 {\displaystyle{\displaystyle\phi\in\mathcal{T}}}
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1ajdec
    0 references
    Q10905
    Defining formula
    ⟨ Λ , ϕ ⟩ distribution Λ italic-ϕ {\displaystyle{\displaystyle\left\langle\NVar{\Lambda},\NVar{\phi}\right% \rangle}}
    xml-id
    C1.S16.SS1.p5.m5addec
    0 references
    Q10784
    Defining formula
    ∈ {\displaystyle{\displaystyle\in}}
    xml-id
    introduction.Sx4.p1.t1.r10.m2addec
    0 references
     
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