DLMF:1.16.E12 (Q612): Difference between revisions

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Property / constraint
 

ϕ 𝒟 ( I ) italic-ϕ 𝒟 𝐼 {\displaystyle{\displaystyle\phi\in\mathcal{D}(I)}}

\phi\in\mathcal{D}(I)
Property / constraint: ϕ 𝒟 ( I ) italic-ϕ 𝒟 𝐼 {\displaystyle{\displaystyle\phi\in\mathcal{D}(I)}} / rank
 
Normal rank

Revision as of 15:50, 30 December 2019

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DLMF:1.16.E12
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    Statements

    δ x 0 ( n ) , ϕ = ( - 1 ) n ϕ ( n ) ( x 0 ) , distribution Dirac-delta-distribution subscript 𝑥 0 𝑛 italic-ϕ superscript 1 𝑛 superscript italic-ϕ 𝑛 subscript 𝑥 0 {\displaystyle{\displaystyle\left\langle{\delta_{x_{0}}^{(n)}},\phi\right% \rangle=(-1)^{n}\phi^{(n)}(x_{0}),}}
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    ϕ 𝒟 ( I ) italic-ϕ 𝒟 𝐼 {\displaystyle{\displaystyle\phi\in\mathcal{D}(I)}}
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