单词 bounded function 释义 BETA

Examples ofbounded function

Dictionary> Examples ofbounded functionbounded functionisn’t in the Cambridge Dictionary yet. You can help!Add a definitionCompare this with aboundedfunction, for which the constant does not depend on "x".FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.Since the empty set has measure 0, one can believe that everyboundedfunctionis essentially bounded.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.Aboundedfunctionis basically a function that is unbounded on the empty set (which is not mathematically precise but gives the basic idea).FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.By contrast, the characteristic function always exists (because it is the integral of aboundedfunction on a space of finite measure), and thus may be used instead.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.Rather, a bounded linear operator is a locallyboundedfunction.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.The essential range of an essentiallyboundedfunction"f" is always compact.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.The set of all bounded functions defined on 0, 1 is much bigger than the set of continuous functions on that interval.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.If we consider a family of bounded functions, this constant can vary across functions in the family.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.

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