DLMF:1.17.E3 (Q662): Difference between revisions

From DRMF
Jump to navigation Jump to search
Created a new Item: Wikidata Toolkit example test item creation
 
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.m6adec

Revision as of 16:42, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:1.17.E3
No description defined

    Statements

    lim n - δ n ( x - a ) ϕ ( x ) d x = ϕ ( a ) , subscript 𝑛 superscript subscript Dirac-delta-sequence 𝑛 𝑥 𝑎 italic-ϕ 𝑥 𝑥 italic-ϕ 𝑎 {\displaystyle{\displaystyle\lim_{n\to\infty}\int_{-\infty}^{\infty}\delta_{n}% \left(x-a\right)\phi(x)\mathrm{d}x=\phi(a),}}
    0 references
    DLMF:1.17.E3
    0 references
    δ n ( x ) Dirac-delta-sequence 𝑛 𝑥 {\displaystyle{\displaystyle\delta_{n}\left(\NVar{x}\right)}}
    C1.S17.SS1.p1.m6adec
    0 references