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Essential supremum

Noun

Definitions

1.NounThe supremum (least upper bound) of a function which holds almost everywhere. In symbols, M\})=0\}}"> 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\}} M\})=0\}}">

Synonyms

essential infimumsupremummaximumlimit superiorlim supextremumextremizerextremalityinfimumglobal maximumupper limitminimum
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