error function

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-20.9

Download RDF.jsonld .ttl

https://metanorma.github.io/isq-smart/math/part-2-20/t2-20.9
urn:iso:std:iso:80000:-2:ed-2:en:item:2-20.9

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-20.9

IEC

urn:iec:std:iec:80000-2:2019:::item:2-20.9

Designations

ENerror function

FRfonction erreur

Symbol

erf x

Notation systems

AsciiMath

"erf "x

LaTeX

\text{erf } x

Definition

error function

fonction erreur

Notes

$erf x = \frac{2}{\sqrt{π}} \int_{0}^{x} e^{- t^{2}} d t$

$erfc x = 1 - erf x$ is called the complementary error function.

In statistics, the distribution function

$Φ (x) = \frac{1}{\sqrt{2 π}} \int_{- \infty}^{x} e^{- t^{2} / 2} d t$

is used.

$erf x = \frac{2}{\sqrt{π}} \int_{0}^{x} e^{- t^{2}} d t$

$erfc x = 1 - erf x$ est appelée fonction erreur complémentaire.

En statistique, la fonction de répartition

$Φ (x) = \frac{1}{\sqrt{2 π}} \int_{- \infty}^{x} e^{- t^{2} / 2} d t$

est utilisée.

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:t2-20.9

Properties

isq:MathConceptShape

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-20.9
skosxl:prefLabel	"error function"@en
skosxl:altLabel	""erf "x"@en
skos:definition	error function
skos:note	stem:["erf "x = 2/(sqrt pi) int_0^x e^(-t^2) "d"t] stem:["erfc " x = 1 - "erf "x] is called the complementary error fun…
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-20

Related Entities

isq:MathConceptShape isq:part-2-20 smart:TermEntry