DLMF:1.16.E10 (Q610)

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DLMF:1.16.E10
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    Statements

    Defining formula
    ⟨ δ , ϕ ⟩ = ϕ ⁢ ( 0 ) , distribution delta-distribution italic-ϕ italic-ϕ 0 {\displaystyle{\displaystyle\left\langle\delta,\phi\right\rangle=\phi(0),}}
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    DLMF id
    DLMF:1.16.E10
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    constraint
    ϕ ∈ 𝒟 ⁢ ( I ) italic-ϕ 𝒟 𝐼 {\displaystyle{\displaystyle\phi\in\mathcal{D}(I)}}
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    Symbols used
    Q10908
    Defining formula
    δ x Dirac-delta-distribution 𝑥 {\displaystyle{\displaystyle\delta_{x}}}
    xml-id
    C1.S16.SS3.m1adec
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    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.m5agdec
    0 references
    Q10784
    Defining formula
    ∈ {\displaystyle{\displaystyle\in}}
    xml-id
    introduction.Sx4.p1.t1.r10.m2aadec
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    Q10903
    Defining formula
    ϕ ⁢ ( x ) italic-ϕ 𝑥 {\displaystyle{\displaystyle\phi(x)}}
    xml-id
    C1.S16.XMD1.m1idec
    0 references
    Q10906
    Defining formula
    I 𝐼 {\displaystyle{\displaystyle I}}
    xml-id
    C1.S16.XMD2.m1bdec
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    Q10907
    Defining formula
    𝒟 ⁢ ( I ) 𝒟 𝐼 {\displaystyle{\displaystyle\mathcal{D}(I)}}
    xml-id
    C1.S16.XMD3.m1adec
    0 references
     
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