Sentence examples for processes the generalized from inspiring English sources

For gene-regulatory processes, the generalized version of Hill's equation [ 79] was selected.

The third stage processes the information generated in the first two stages in a generalized process superstructure model.

In many cases, it is also necessary to regulate the dynamics produced along the trials, for which this paper gives new results using the theory of linear repetitive processes and the generalized form of the Kalman-Yakubovich-Popov lemma.

Define the Ishikawa iterative process involving the generalized asymptotically nonexpansive mappings in a Banach space as follows.

Now, we are in a position to consider the quantizer design process in the generalized Lloyd design framework.

The conditional density function of a duplication time given the previous duplication time is derived from the reconstructed process under the generalized birth-death model [ 35, 52].

Before a detailed technical discussion is given further below, the basic process sequence of the generalized TASTE method is illustrated in Figure 3 for the generation of asymmetric 3D grating elements with linear sloped and stepped contours.

Designing multi-loop PID controllers such that the process variables satisfy the generalized covariance constraints is studied in this paper.

In the process, we used the generalized mean value theorem (Odibat and Shawagfeh in Appl. Math. Comput. 186:2007293, 2007) extended to fractional calculus to conclude some of the properties.

The results show that the new construction of the operators, that is, the genuine generalized Bernstein Durrmeyer cases, are more effective in the approximation process than both the generalized Bernstein Durrmeyer and the classical Bernstein Durrmeyer operators.

To assess the quality of the numerical solutions presented in this paper, a verification process based on the generalized Richardson extrapolation technique and on the grid convergence index (GCI) has been applied.