| 词汇 | product-rule |
| 释义 | BETA product rulecollocation in Englishmeanings of productand ruleThese words are often used together. Click on the links below to explore the meanings. product noun uk /ˈprɒd.ʌkt/ us /ˈprɑː.dʌkt/ something that is made to be sold, usually something that is produced by an industrial process or, less commonly, something that is grown or obtained ... See more at product rule noun uk /ruːl/ us /ruːl/ an accepted principle or instruction that states the way things are or should be done, and tells you what you are allowed or are not allowed ... See more at rule Examples of product ruleproduct rule The result then follows immediately from the productrule. Instead, we bring the variational principle and the productrule for metric pre-image entropy to the rescue. By the productrule we need only consider the effect of differentiating (19) and (20). This is simply a discrete version of productrule, which can be applied to any additive indices. For that reason, identities involving del must be derived with care, using both vector identities and "differentiation" identities such as the productrule. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The full domain of cases in which the productrule can be generalized is still a subject of research. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Furthermore, if two functions are given with value zero at "x", then their product has derivative 0 at "x", by the productrule. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. For example, the quotient rule is a consequence of the chain rule and the productrule. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This can be derived from reciprocal rule and the productrule. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In that case the more complicated proof of the productrule applies. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The rule can be derived in one line simply by integrating the productrule of differentiation. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. With this definition of multiplication by a smooth function, the ordinary productrule of calculus remains valid. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This follows from the productrule since the derivative of any constant is zero. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This can be proved by using the productrule and mathematical induction. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The third line was obtained by use of a productrule for divergence. 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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