Sentence examples for processes as special from inspiring English sources

It is clear that the iterative processes (2.1) include many iterative processes as special cases.

Iteration (4.1) includes the Picard-Mann iterative process due to Khan [18], Picard iterative process, Mann iterative process and other related iterative processes as special cases.

The purpose of this paper is to introduce and consider a general implicit iterative process which includes Schu's explicit iterative processes and Sun's implicit iterative processes as special cases for a finite family of generalized asymptotically quasi-nonexpansive mappings.

Further, Lan [3] remarked that the above iterative processes include many iterative processes as special cases and he gave a sufficient and necessary condition for the iterative sequence to converge to the common fixed points for two generalized asymptotically quasi-nonexpansive mappings.

It contains both the Poisson square wave process and the compound Poisson process as special cases.

Note that the iteration processes considered in [1, 2, 4, 6] can be obtained from the above process as special cases by suitably choosing the space, the mappings, and the parameters.

Elementary biological processes provide as special challenge the presence of partial disorder in the structure which does not destroy the basic reproducibility of the processes.

We remark that our implicit iterative process (1.18) which includes the explicit iterative process (1.13) and the implicit iterative process (1.16) as special cases is general.

He criticized the current budget process as a "special interest protection program" that resulted in too much spending with too little accountability for performance, and called for a return to what he described as reality-based budgeting.

Hence, the LSS process has the desirable property of including WSS process as a special case.

Prime Minister Singh described the start of the process as a "special moment" that would empower the most marginalised in society.