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Section 2-196 entries

2-19.1Fourier transform 2-19.2Laplace transform 2-19.3Z transform 2-19.4Heaviside function 2-19.5Dirac delta distribution 2-19.6convolution

2-19.5

Dirac delta distribution

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-19.5

Download RDF.jsonld .ttl

https://metanorma.github.io/isq-smart/math/part-2-19/t2-19.5
urn:iso:std:iso:80000:-2:ed-2:en:item:2-19.5

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-19.5

IEC

urn:iec:std:iec:80000-2:2019:::item:2-19.5

Designations

ENDirac delta distribution

FRdistribution de Dirac

Symbol

δ (x)

Notation systems

AsciiMath

delta(x)

LaTeX

\delta ( x )

Definition

Dirac delta distribution, + Dirac delta function

distribution de Dirac

Notes

The Dirac delta distribution is defined by

$\int_{- \infty}^{+ \infty} φ (t) δ (t - x) d t = φ (x)$

The Dirac delta distribution can be interpreted as derivative of the Heaviside function. The name "unit pulse" is also used.

[example]

$𝓛 δ = 1$

See also item convolution and IEC 60027-6,clause=2.01.

La distribution de Dirac est définie par

$\int_{- \infty}^{+ \infty} φ (t) δ (t - x) d t = φ (x)$

La distribution de Dirac peut être interprétée comme une dérivée de la fonction échelon unité.

L'appellation «impulsion unité» est aussi utilisée.

[example]

$𝓛 δ = 1$

Voir aussi convolution et l'IEC 60027-6,clause=2.01.

Ontology
isq:MathConcept smart:TermEntry

Class Hierarchy

smart:Entity smart:TermEntryisq:MathConcept

A mathematical concept as defined in ISO/IEC 80000 Part 2.

Instance IRI

isq:t2-19.5

Properties

isq:MathConceptShape

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-19.5
skosxl:prefLabel	"Dirac delta distribution"@en
skosxl:altLabel	"delta(x)"@en
skos:definition	Dirac delta distribution, + Dirac delta function
skos:note	The Dirac delta distribution is defined by stem:[int_(-oo)^(+oo) varphi(t) delta(t-x) "d"t = varphi(x)] The Dirac delt…
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-19

Related Entities

isq:MathConceptShape isq:part-2-19 smart:TermEntry