DLMF:2.6.E19 (Q844): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10915 / rank
 
Normal rank
Property / Symbols used: Q10915 / qualifier
 
Defining formula:

δ ⁡ ( x - a ) Dirac-delta 𝑥 𝑎 {\displaystyle{\displaystyle\delta\left(\NVar{x-a}\right)}}

\Diracdelta@{\NVar{x-a}}
Property / Symbols used: Q10915 / qualifier
 
xml-id: C1.S17.SS1.p1.m2aadec

Revision as of 17:12, 1 January 2020

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DLMF:2.6.E19
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    Statements

    Defining formula
    ⟨ δ ( s ) , ϕ ⟩ = ( - 1 ) s ⁢ ϕ ( s ) ⁢ ( 0 ) , distribution Dirac-delta 𝑠 italic-ϕ superscript 1 𝑠 superscript italic-ϕ 𝑠 0 {\displaystyle{\displaystyle\left\langle{\delta^{(s)}},\phi\right\rangle=(-1)^% {s}\phi^{(s)}(0),}}
    0 references
    DLMF id
    DLMF:2.6.E19
    0 references
    constraint
    s = 0 , 1 , 2 , … 𝑠 0 1 2 … {\displaystyle{\displaystyle s=0,1,2,\dots}}
    0 references
    Symbols used
    Q10915
    Defining formula
    δ ⁡ ( x - a ) Dirac-delta 𝑥 𝑎 {\displaystyle{\displaystyle\delta\left(\NVar{x-a}\right)}}
    xml-id
    C1.S17.SS1.p1.m2aadec
    0 references
     
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