order comparable with or inferior to

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-12.15

https://metanorma.github.io/isq-smart/math/part-2-12/t2-12.15
urn:iso:std:iso:80000:-2:ed-2:en:item:2-12.15

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-12.15

IEC

urn:iec:std:iec:80000-2:2019:::item:2-12.15

Designations

ENorder comparable with or inferior to

FRordre comparable ou inférieur à

Symbol

f (x) = O (g (x))

Notation systems

AsciiMath

f(x) = "O"(g(x))

LaTeX

f ( x ) = \text{O} ( g ( x ) )

Definition

$f (x)$ is upper case $O$ of $g (x)$ , +

$| f (x) / g (x) |$ is bounded from above in the limit implied by the context, +

$f (x)$ is of the order comparable with or inferior to $g (x)$

$f (x)$ est grand $O$ de $g (x)$ , +

$| f (x) / g (x) |$ est majoré dans la limite impliquée par le contexte, +

$f (x)$ est d'ordre comparable ou inférieur à $g (x)$

The symbol "=" here is used for historical reasons and does not have the meaning of equality, because transitivity does not apply.

[example]

$sin x = O (x)$ , when $x \to 0$

Le symbole «=» est utilisé ici pour des raisons historiques mais n'a pas le sens d'égalité, parce que la transitivité ne s'applique pas.

[example]

$sin x = O (x)$ , lorsque $x \to 0$

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

isq:t2-12.15

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-12.15
skosxl:prefLabel	"order comparable with or inferior to"@en
skosxl:altLabel	"f(x) = "O"(g(x))"@en
skos:definition	stem:[f(x)] is upper case stem:["O"] of stem:[g(x)], + stem:[abs(f(x)//g(x))] is bounded from above in the limit implied…
skos:note	The symbol "=" here is used for historical reasons and does not have the meaning of equality, because transitivity does …
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-12