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essential supremum

Noun

Meaning

English Wikipedia has an article on:Essential supremum and essential infimumWikipedia
essential supremum (plural essential suprema)

(mathematical analysis) The supremum (least upper bound) of a function which holds almost everywhere. In symbols,




e
s
s

sup
f
=
inf

{
M
:
μ
(
{
x
:
f
(
x
)
>
M
}
)
=
0
}


{\displaystyle \mathrm {ess} \sup f=\inf \ \{M:\mu (\{x:f(x)>M\})=0\}}

Source: en.wiktionary.org

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