Cauchy principal value, infinite interval

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-12.27

https://metanorma.github.io/isq-smart/math/part-2-12/t2-12.27
urn:iso:std:iso:80000:-2:ed-2:en:item:2-12.27

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-12.27

IEC

urn:iec:std:iec:80000-2:2019:::item:2-12.27

Designations

ENCauchy principal value, infinite interval

FRvaleur principale de Cauchy, intervalle infini

Symbol

⨍_{- \infty}^{+ \infty} f (x) d x

Notation systems

AsciiMath

⨍_(-oo)^(+oo) f(x)"d"x

LaTeX

⨍_{- \infty}^{+ \infty} f ( x ) \text{d} x

Definition

Cauchy principal value of the integral of $f$

valeur principale de Cauchy de l'intégrale d'une fonction $f$

$lim_{a \to \infty} ⨍_{- a}^{+ a} f (x) d x$

$lim_{a \to \infty} ⨍_{- a}^{+ a} f (x) d x$

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

isq:t2-12.27

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-12.27
skosxl:prefLabel	"Cauchy principal value, infinite interval"@en
skosxl:altLabel	"⨍_(-oo)^(+oo) f(x)"d"x"@en
skos:definition	Cauchy principal value of the integral of stem:[f]
skos:note	stem:[lim_(a -> oo) ⨍_{-a}^{+a} f(x)"d"x] See <<t2-12.26>>.
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-12