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

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Property / Symbols used
 
Property / Symbols used: Q10903 / rank
 
Normal rank
Property / Symbols used: Q10903 / qualifier
 
test:

ϕ ⁢ ( x ) italic-ϕ 𝑥 {\displaystyle{\displaystyle\phi(x)}}

\phi(x)
Property / Symbols used: Q10903 / qualifier
 
xml-id: C1.S16.XMD1.m1kdec
Property / Symbols used
 
Property / Symbols used: Q10906 / rank
 
Normal rank
Property / Symbols used: Q10906 / qualifier
 
test:

I 𝐼 {\displaystyle{\displaystyle I}}

I
Property / Symbols used: Q10906 / qualifier
 
xml-id: C1.S16.XMD2.m1ddec
Property / Symbols used
 
Property / Symbols used: Q10907 / rank
 
Normal rank
Property / Symbols used: Q10907 / qualifier
 
test:

𝒟 ⁢ ( I ) 𝒟 𝐼 {\displaystyle{\displaystyle\mathcal{D}(I)}}

\mathcal{D}(I)
Property / Symbols used: Q10907 / qualifier
 
xml-id: C1.S16.XMD3.m1cdec

Latest revision as of 15:35, 1 January 2020

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DLMF:1.16.E12
No description defined

    Statements

    test
    ⟨ 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}),}}
    0 references
    DLMF id
    DLMF:1.16.E12
    0 references
    constraint
    ϕ ∈ 𝒟 ⁢ ( I ) italic-ϕ 𝒟 𝐼 {\displaystyle{\displaystyle\phi\in\mathcal{D}(I)}}
    0 references
    Symbols used
    Q10908
    test
    δ x Dirac-delta-distribution 𝑥 {\displaystyle{\displaystyle\delta_{x}}}
    xml-id
    C1.S16.SS3.m1abdec
    0 references
    Q10905
    test
    ⟨ Λ , ϕ ⟩ distribution Λ italic-ϕ {\displaystyle{\displaystyle\left\langle\NVar{\Lambda},\NVar{\phi}\right% \rangle}}
    xml-id
    C1.S16.SS1.p5.m5aidec
    0 references
    Q10784
    test
    ∈ {\displaystyle{\displaystyle\in}}
    xml-id
    introduction.Sx4.p1.t1.r10.m2acdec
    0 references
    Q10757
    test
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C1.S1.XMD7.m1bdec
    0 references
    Q10903
    test
    ϕ ⁢ ( x ) italic-ϕ 𝑥 {\displaystyle{\displaystyle\phi(x)}}
    xml-id
    C1.S16.XMD1.m1kdec
    0 references
    Q10906
    test
    I 𝐼 {\displaystyle{\displaystyle I}}
    xml-id
    C1.S16.XMD2.m1ddec
    0 references
    Q10907
    test
    𝒟 ⁢ ( I ) 𝒟 𝐼 {\displaystyle{\displaystyle\mathcal{D}(I)}}
    xml-id
    C1.S16.XMD3.m1cdec
    0 references
     
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