DLMF:1.16.E26 (Q626)

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DLMF:1.16.E26
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    Statements

    test
    ⟨ Λ f , ϕ ⟩ = ∫ ℝ n f ⁢ ( x ) ⁢ ϕ ⁢ ( x ) ⁢ d x , distribution subscript Λ 𝑓 italic-ϕ subscript 𝑛 𝑓 𝑥 italic-ϕ 𝑥 𝑥 {\displaystyle{\displaystyle\left\langle\Lambda_{f},\phi\right\rangle=\int_{{% \mathbb{R}^{n}}}f(x)\phi(x)\mathrm{d}x,}}
    0 references
    DLMF id
    DLMF:1.16.E26
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    constraint
    ϕ ∈ 𝒟 n italic-ϕ subscript 𝒟 𝑛 {\displaystyle{\displaystyle\phi\in\mathcal{D}_{n}}}
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    Symbols used
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aadec
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    Q10905
    test
    ⟨ Λ , ϕ ⟩ distribution Λ italic-ϕ {\displaystyle{\displaystyle\left\langle\NVar{\Lambda},\NVar{\phi}\right% \rangle}}
    xml-id
    C1.S16.SS1.p5.m5akdec
    0 references
    Q10784
    test
    ∈ {\displaystyle{\displaystyle\in}}
    xml-id
    introduction.Sx4.p1.t1.r10.m2addec
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    Q10771
    test
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3aadec
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    Q10812
    test
    ℝ {\displaystyle{\displaystyle\mathbb{R}}}
    xml-id
    introduction.Sx4.p2.t1.r14.m2adec
    0 references
    Q10757
    test
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C1.S1.XMD7.m1hdec
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