beta function

collocation in English

meaningsofbetaandfunction

These words are often used together. Click on the links below to explore the meanings. Or,see other collocations withbetaorfunction.
beta
adjective[before noun]
uk
/ˈbiː.tə/us
/ˈbeɪ.t̬ə/
Beta software is at the second stage ...
See more atbeta
function
noun
uk
/ˈfʌŋk.ʃən/us
/ˈfʌŋk.ʃən/
the natural purpose (of something) or the duty (of ...
See more atfunction

(Definition ofbetaandfunctionfrom theCambridge English Dictionary© Cambridge University Press)

Examplesofbeta function

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.
Thebetafunction, on the other hand, is invariant.
From theCambridge English Corpus
Assuming abetafunctionof 100 m, the beam size is 0.88 mm.
From theCambridge English Corpus
It was thisbetafunctionwhich 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.
Thebetafunctioncan 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 itsbetafunctionis 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 thebetafunction.
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 itsbetafunction, 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 thebetafunctiongiving 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 thebetafunctionto 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 thebetafunctionat 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, thebetafunctionhas 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 ofbeta
Go to the definition offunction
See other collocations withbeta
See other collocations withfunction