Sentence examples for using the gamma function from inspiring English sources

This definition can be extended for fractional values using the gamma function as follows.

These constants can be explicitly expressed using the Gamma function of Euler.

The Weibull parameters are determined based on the wind distribution statistics calculated from the measured data, using the gamma function.

We compute P{S n mod N=k} by using the gamma function and the class discrete_distribution in C++.

Fractional calculus seeks to find the integrals and derivatives of a real or even complex order using the Gamma function, Euler's generalization of the factorials.

Frequency analysis of consecutive day's rainfall in Rajasthan, India, was studied (Bhakar et al. 2006) and gamma distribution was found to be the best fit for the region and the corresponding return period was estimated using the gamma function.

To resolve (103), we use the Gamma function Γ ( m ) = ∫ 0 ∞ y m − 1 e − y d y.

The software depends on the following Python packages for calculations and displaying results: Numpy: a library for array manipulation and calculations [14]; Scipy: the Python scientific library, from which we used the gamma function and the nonlinear least squares fitting function [14]; Matplotlib: a Matlab-like plotting library to generate information graphs of the results [15].

The quantiles of this distribution can therefore be computed using the inverse Gamma function being available in standard software.

by using the approximation of the gamma function: (Gamma (x approx sqrt {2pi }x^{x-1/2}e^{-x}~text {as}~xrightarrow infty).

Using the property of the Gamma function Γ(m+1)=m Γ(m), the ratio of Gammas reduces to Γ ( 7 2 ) / Γ ( 5 2 ) = 5 2 ; therefore, the expression in (108) finally reduces to β ̄ = 1 τ p 5 2 π. (109).