We give several examples, in particular, based on the Gamma and Beta functions. Some of them have already been considered by previously, and other are new.doi:10.48550/arXiv.math/0104026T. MansourMathematicsToufik Mansour, Gamma function, beta function and combinatorial identities, arXiv preprint...
Two easily-evaluated approximations for the square of the modulus of the complex gamma-function as it appears in F( Z, W), the Fermi function for beta-decay, are presented, one for high and the other for low electron energies. When grafted together at the appropriate electron energy as a...
The Beta function is a function of two variables that is often found in probability theory and mathematical statistics (for example, as a normalizing constant in the probability density functions of the F distribution and of the Student's t distribution). We report here some basic facts about ...
This example solves the Brusselator PDE described in (Hairer E, Wanner G (2002) Solving Ordinary Differential Equations II Stiff and Differential-Algebraic Problems. Second Revised Edition. Corrected 2nd printing 2002. Springer Series in Computational Mathematics, 614p). See the code brusselator_pde_...
Hi! I was wondering whether there is a way to get an equivalent of the Gamma/Beta (and other standard distributions) quantile function: scipy.stats.gamma.ppf https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.gamma.html htt...
For more information about the new function, see the Beta_Inv(Double, Double, Double, Object, Object) method. The beta distribution can be used in project planning to model probable completion times given an expected completion time and variability....
The problems men are currently facing boil down to the fact that for a very long time we have been conditioned to think there are only 2 boxes to fit into and have pressured ourselves and those around us to “force-fit”, and that has led many of us to deep unhappiness. ...
We obtain the super stability of Cauchy's gamma–beta functional equation B(x,y)f(x+y)=f(x)f(y), where B(x,y) is the beta function and investigate the stability in the sense of R. Ger of this equation in the following setting: |B(x,y)f(x+y)f(x)f(y)−1|<δ.Previous...
Measuring radiation turns out to be one of those the-devil-is-in-the-details problems where a lot of things affect how accurately one is measuring a phenomena. Like all uncalibrated units this device is not an accurate measure of actual radiation dose and should not be employed for any criti...
In Gram-positive bacteria, which lack an outer membrane, only the inner P, MS and C rings are present. The MS- and C-rings are linked by a series of Mot proteins which drive rotation of the flagellum. The associated Fli proteins function as a motor switch, reversing the direction of ...