| 词汇 | divergent-series |
| 释义 | BETA divergent seriescollocation in Englishmeanings of divergentand seriesThese words are often used together. Click on the links below to explore the meanings. divergent adjective uk /daɪˈvɜː.dʒənt/ us /dɪˈvɝː.dʒənt/ different or becoming different from ... See more at divergent series noun[ C ] uk /ˈsɪə.riːz/ us /ˈsɪr.iːz/ a number of similar or related events or things, one ... See more at series Examples of divergent seriesdivergent series There are usually five cribriform circular plates arranged in two longitudinal and slightly divergentseries. Understanding the meaning of algebraically generated divergentseries remained a frustration, but one he was willing to leave to future generations. Taking regularity, linearity and stability as axioms, it is possible to sum many divergentseries by elementary algebraic manipulations. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. He also made major investigations in the areas of gamma functions, modular forms, divergentseries, hypergeometric series and prime number theory. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Summation of divergentseries is also related to extrapolation methods and sequence transformations as numerical techniques. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Many summation methods are used in mathematics to assign numerical values even to a divergentseries. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Generally speaking, it is dangerous to manipulate infinite series as if they were finite sums, and it is especially dangerous for divergentseries. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It is a divergentseries, meaning that it lacks a sum in the usual sense. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The harmonic series is a classic example of a divergentseries whose terms limit to zero. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Divergentseries are on the whole devil's work, and it is a shame that one dares to found any proof on them. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Zeta function regularization is used as one possible means of regularization of divergentseries and divergent integrals in quantum field theory. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Since then, mathematicians have explored many different summability methods for divergentseries. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. However, such theoretically efficient methods use divergent-series stepsize rules, which were first developed for classical subgradient methods. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Since justifications were given that used divergentseries, these methods had a bad reputation from the point of view of pure mathematics. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Classical subgradient methods using divergent-series rules are much slower than modern methods of convex minimization, such as subgradient projection methods, bundle methods of descent, and nonsmooth filter methods. 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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