Laplace transform

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-19.2

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https://metanorma.github.io/isq-smart/math/part-2-19/t2-19.2
urn:iso:std:iso:80000:-2:ed-2:en:item:2-19.2

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-19.2

IEC

urn:iec:std:iec:80000-2:2019:::item:2-19.2

Designations

ENLaplace transform

FRtransformée de Laplace

Symbol

𝓛 f

Notation systems

AsciiMath

𝓛 f

LaTeX

𝓛 f

Definition

Laplace transform of $f$

transformée de Laplace de $f$

$(𝓛 f) (s) = \int_{0}^{\infty} e^{- s t} f (t) d t$

(where $s \in C$ )

This is often denoted by $𝓛 (s)$ .

The two-sided Laplace transform is also used, defined by the same formula, but with minus infinity instead of zero.

$(𝓛 f) (s) = \int_{0}^{\infty} e^{- s t} f (t) d t$

(où $s \in C$ )

Cela est souvent noté $𝓛 (s)$ .

La transformée de Laplace bilatérale est aussi utilisée, définie par la même formule, mais avec moins l'infini au lieu de zéro.

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

isq:t2-19.2

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-19.2
skosxl:prefLabel	"Laplace transform"@en
skosxl:altLabel	"𝓛 f"@en
skos:definition	Laplace transform of stem:[f]
skos:note	stem:[(𝓛 f)(s) = int_0^(oo) e^(-st) f(t) "d"t] (where stem:[s in bb(sf(C))]) This is often denoted by stem:[&#…
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-19