| 词汇 | example_english_beta-function |
| 释义 | beta functioncollocation in Englishmeanings of betaand functionThese words are often used together. Click on the links below to explore the meanings. Or, see other collocations with function or beta. beta adjective[before noun] uk /ˈbiː.tə/ us /ˈbeɪ.t̬ə/ Beta software is at the second stage ... See more at beta function noun uk /ˈfʌŋk.ʃən/ us /ˈfʌŋk.ʃən/ the natural purpose (of something) or the duty (of ... See more at function Examples of beta functionThese 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. The betafunction, on the other hand, is invariant. Assuming a betafunction of 100 m, the beam size is 0.88 mm. It was this betafunction which was apparently found before full string theory was developed. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The betafunction can be expressed in terms of the gamma function in much the same way that factorials are related to binomial coefficients. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Such a behavior can be obtained from a theory once its betafunction is known. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Jacobi sums are the analogues for finite fields of the betafunction. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A quantum field theory is trivial when the running coupling, computed through its betafunction, goes to zero when the cutoff is removed. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In particular the renormalization group defines a flow on the space of coupling constants, with the betafunction giving the corresponding vector field. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Caswell did work in quantum gauge theory, most notably, his 1972 calculation of the betafunction to two-loop accuracy. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. He was also the first to really understand that one can derive critical exponents through expansions of the betafunction at fixed dimensions, avoiding the convergence problems of the epsilon-expansion. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This means that, in this limit, the betafunction has a minus sign driving the behavior of the running coupling toward even smaller values as the energy increases. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Note that non-perturbative processes may correct this, for example through contributions to the beta functions due to instantons. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. If the beta functions of a quantum field theory vanish, then the theory is scale-invariant. 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. Want to learn more? Go to the definition of beta Go to the definition of function See other collocations with function See other collocations with beta |
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