| 词汇 | intermediate-value-theorem |
| 释义 | BETA intermediate value theoremcollocation in Englishmeanings of intermediate, valueand theoremThese words are often used together. Click on the links below to explore the meanings. intermediate adjective uk /ˌɪn.təˈmiː.di.ət/ us /ˌɪn.t̬ɚˈmiː.di.ət/ being between two other related things, levels, ... See more at intermediate value noun uk /ˈvæl.juː/ us /ˈvæl.juː/ the amount of money that can be received ... See more at value theorem noun[ C ] uk /ˈθɪə.rəm/ us /ˈθiː.rəm/ (especially in mathematics) a formal statement that can be shown to be true ... See more at theorem Examples of intermediate value theoremintermediate value theorem The proof of any such result would seem to require a higher-dimensional analogue of the intermediatevaluetheorem. These upper bounds, combined with an 'intermediatevaluetheorem' argument, then yield lower bounds on b(n) - a(n). The intermediatevaluetheorem establishes the second player must be satisfied the cake is halved at some point. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. However, as with the intermediatevaluetheorem, an alternative version survives; in constructive analysis, any "located" subset of the real line has a supremum. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It is reminiscent of the intermediatevaluetheorem for continuous functions. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This is one formulation of the intermediatevaluetheorem. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. By the intermediatevaluetheorem, "g" has a zero in "a", "b"; this zero is a fixed point. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Another characterization says that the intermediatevaluetheorem holds for all polynomials in one variable over the (ordered) field. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A proof of that fact requires the intermediatevaluetheorem from elementary calculus. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. These order-theoretic properties lead to a number of important results in real analysis, such as the monotone convergence theorem, the intermediatevaluetheorem and the mean value theorem. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Since the correlation is a continuous function of "c", the intermediatevaluetheorem implies there is some particular value of "c" that makes the correlation 0. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. We can imagine the intermediate value theorem's failure as resulting from the ability of an infinitesimal segment to straddle a line. 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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