DLMF:1.17.E4 (Q663): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10812 / rank
 
Normal rank
Property / Symbols used: Q10812 / qualifier
 
Defining formula:

ℝ {\displaystyle{\displaystyle\mathbb{R}}}

\Reals
Property / Symbols used: Q10812 / qualifier
 
xml-id: introduction.Sx4.p2.t1.r14.m2abdec

Revision as of 16:42, 1 January 2020

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DLMF:1.17.E4
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    Statements

    Defining formula
    lim n → ∞ ⁡ δ n ⁡ ( x ) = δ ⁡ ( x ) , subscript → 𝑛 Dirac-delta-sequence 𝑛 𝑥 Dirac-delta 𝑥 {\displaystyle{\displaystyle\lim_{n\to\infty}\delta_{n}\left(x\right)=\delta% \left(x\right),}}
    0 references
    DLMF id
    DLMF:1.17.E4
    0 references
    constraint
    x ∈ ℝ 𝑥 {\displaystyle{\displaystyle x\in\mathbb{R}}}
    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.m2abdec
    0 references
    Q10917
    Defining formula
    δ n ⁡ ( x ) Dirac-delta-sequence 𝑛 𝑥 {\displaystyle{\displaystyle\delta_{n}\left(\NVar{x}\right)}}
    xml-id
    C1.S17.SS1.p1.m6aadec
    0 references
    Q10784
    Defining formula
    ∈ {\displaystyle{\displaystyle\in}}
    xml-id
    introduction.Sx4.p1.t1.r10.m2abdec
    0 references
    Q10812
    Defining formula
    ℝ {\displaystyle{\displaystyle\mathbb{R}}}
    xml-id
    introduction.Sx4.p2.t1.r14.m2abdec
    0 references
     
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