| 21. | The two-parameter generalization of the original Yule distribution replaces the beta function with an incomplete beta function.
|
| 22. | The use of the incomplete beta function has the effect of introducing an exponential cutoff in the upper tail.
|
| 23. | For proving the correctness of the above definition of the \ beta function, we shall use several lemmas.
|
| 24. | The beta function, \ Beta, is a normalization constant to ensure that the total probability integrates to 1.
|
| 25. | The one-loop beta function in quantum chromodynamics with n _ f flavours and n _ s scalar Higgs bosons is
|
| 26. | Note that non-perturbative processes may correct this, for example through contributions to the beta functions due to instantons.
|
| 27. | Euler integral of the second kind "'( the Euler integral of the first kind defines the beta function ).
|
| 28. | Perturbation theory permits to evaluate beta function in this limit producing the following result for SU ( " N ")
|
| 29. | This beta function tells us that the coupling increases with increasing energy scale, and QED becomes strongly coupled at high energy.
|
| 30. | Caswell did work in quantum gauge theory, most notably, his 1972 calculation of the beta function to two-loop accuracy.
|
