词汇 | bounded-function |
释义 | BETA bounded functioncollocation in Englishmeanings of functionThese words are often used together. Click on the links below to explore the meanings. function noun uk /ˈfʌŋk.ʃən/ us /ˈfʌŋk.ʃən/ the natural purpose (of something) or the duty (of ... See more at function Examples of bounded functionbounded function Compare this with a boundedfunction, for which the constant does not depend on "x". From Wikipedia This 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 every boundedfunction is essentially bounded. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A boundedfunction is basically a function that is unbounded on the empty set (which is not mathematically precise but gives the basic idea). From Wikipedia This 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 a bounded function on a space of finite measure), and thus may be used instead. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Rather, a bounded linear operator is a locally boundedfunction. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The essential range of an essentially boundedfunction "f" is always compact. From Wikipedia This 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. From Wikipedia This 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. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. |
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