DLMF:1.16.E8 (Q608): 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
Property / Symbols used
 
Property / Symbols used: Q10905 / rank
 
Normal rank
Property / Symbols used: Q10905 / qualifier
 
test:

Λ , ϕ distribution Λ italic-ϕ {\displaystyle{\displaystyle\left\langle\NVar{\Lambda},\NVar{\phi}\right% \rangle}}

\intinnerprod{\NVar{\Lambda}}{\NVar{\phi}}
Property / Symbols used: Q10905 / qualifier
 
xml-id: C1.S16.SS1.p5.m5aedec
Property / Symbols used
 
Property / Symbols used: Q10784 / rank
 
Normal rank
Property / Symbols used: Q10784 / qualifier
 
test:

{\displaystyle{\displaystyle\in}}

\in
Property / Symbols used: Q10784 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r10.m2adec
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.m1gdec
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.m1adec
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.m1dec
Property / Symbols used
 
Property / Symbols used: Q10904 / rank
 
Normal rank
Property / Symbols used: Q10904 / qualifier
 
test:

Λ Λ {\displaystyle{\displaystyle\Lambda}}

\Lambda
Property / Symbols used: Q10904 / qualifier
 
xml-id: C1.S16.XMD4.m1gdec

Latest revision as of 15:34, 1 January 2020

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DLMF:1.16.E8
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    Statements

    Λ , ϕ = - Λ , ϕ , distribution superscript Λ italic-ϕ distribution Λ superscript italic-ϕ {\displaystyle{\displaystyle\left\langle\Lambda^{\prime},\phi\right\rangle=-% \left\langle\Lambda,\phi^{\prime}\right\rangle,}}
    0 references
    0 references
    ϕ 𝒟 ( I ) italic-ϕ 𝒟 𝐼 {\displaystyle{\displaystyle\phi\in\mathcal{D}(I)}}
    0 references
    Λ , ϕ distribution Λ italic-ϕ {\displaystyle{\displaystyle\left\langle\NVar{\Lambda},\NVar{\phi}\right% \rangle}}
    C1.S16.SS1.p5.m5aedec
    0 references
    {\displaystyle{\displaystyle\in}}
    introduction.Sx4.p1.t1.r10.m2adec
    0 references
    ϕ ( x ) italic-ϕ 𝑥 {\displaystyle{\displaystyle\phi(x)}}
    C1.S16.XMD1.m1gdec
    0 references
    I 𝐼 {\displaystyle{\displaystyle I}}
    C1.S16.XMD2.m1adec
    0 references
    𝒟 ( I ) 𝒟 𝐼 {\displaystyle{\displaystyle\mathcal{D}(I)}}
    C1.S16.XMD3.m1dec
    0 references
    Λ Λ {\displaystyle{\displaystyle\Lambda}}
    C1.S16.XMD4.m1gdec
    0 references