DLMF:1.16.E3 (Q603): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10903 / rank
 
Normal rank
Property / Symbols used: Q10903 / qualifier
 
Defining formula:

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

\phi(x)
Property / Symbols used: Q10903 / qualifier
 
xml-id: C1.S16.XMD1.m1bdec

Revision as of 16:34, 1 January 2020

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DLMF:1.16.E3
No description defined

    Statements

    Defining formula
    ⟨ Λ , ϕ ⟩ = ∫ I f ⁢ ( x ) ⁢ ϕ ⁢ ( x ) ⁢ d x . distribution Λ italic-ϕ subscript 𝐼 𝑓 𝑥 italic-ϕ 𝑥 𝑥 {\displaystyle{\displaystyle\left\langle\Lambda,\phi\right\rangle=\int_{I}f(x)% \phi(x)\mathrm{d}x.}}
    0 references
    DLMF id
    DLMF:1.16.E3
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1adec
    0 references
    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.m5adec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3adec
    0 references
    Q10903
    Defining formula
    ϕ ⁢ ( x ) italic-ϕ 𝑥 {\displaystyle{\displaystyle\phi(x)}}
    xml-id
    C1.S16.XMD1.m1bdec
    0 references
     
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