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: Q10917 / rank
 
Normal rank
Property / Symbols used: Q10917 / qualifier
 
Defining formula:

δ n ( x ) Dirac-delta-sequence 𝑛 𝑥 {\displaystyle{\displaystyle\delta_{n}\left(\NVar{x}\right)}}

\Diracdeltaseq{n}@{\NVar{x}}
Property / Symbols used: Q10917 / qualifier
 
xml-id: C1.S17.SS1.p1.m6aadec

Revision as of 16:42, 1 January 2020

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DLMF:1.17.E4
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    Statements

    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),}}
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    DLMF:1.17.E4
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    x 𝑥 {\displaystyle{\displaystyle x\in\mathbb{R}}}
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    δ ( x - a ) Dirac-delta 𝑥 𝑎 {\displaystyle{\displaystyle\delta\left(\NVar{x-a}\right)}}
    C1.S17.SS1.p1.m2abdec
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    δ n ( x ) Dirac-delta-sequence 𝑛 𝑥 {\displaystyle{\displaystyle\delta_{n}\left(\NVar{x}\right)}}
    C1.S17.SS1.p1.m6aadec
    0 references