Sentence examples for approximation of various from inspiring English sources

This work is concerned with the Fourier spectral approximation of various integral differential equations associated with some linear nonlocal diffusion and peridynamic operators under periodic boundary conditions.

There has been extensive theoretical research for finite element approximation of various optimal control problems (see, e.g., [1 12]), and some scholars have been paying much attention to the mixed finite element methods for PDEs (see, e.g., [13 21]).

Nonetheless, the approaches here provide a first, albeit imperfect, approximation of various features of a previously unexplored genome, and several of our conclusions do not depend upon a truly random sampling of the genome.

The exact designs constructed for multiwavelet approximations of various orders are found to be symmetric and periodic, as anticipated in Oyet and Wiens (J. Nonparametric Stat. 12 (2000) 837).

Figure 8 Curves of 16-QAM SER vs. SNR for low-order approximation algorithms with δ = 0.18. Figure 9 Curves of 16-QAM SER vs. SNR for approximation algorithms of various orders with δ = 0.6.

In both the continuous and discrete optimization, the idea of various function approximations is employed to decrease the computation time required by the design process.

Also the authors in [24 31] extended the spectral method to find a smooth approximation to various classes of FDEs and FPDEs.

The following hybrid fixed point result of [19] is often applied to establish the existence and approximation of solutions of various differential and integral equations.

The collocation technique based on Bernstein polynomials is used for approximation the solution of various cases of CSFIEs.

Sometimes the effort to render a given original in a given medium requires approximation and elaboration of various sorts, so that any rendering of the given original in the given medium will be correct only up to a point and incorrect thereafter (such is approximation) and more complex or longwinded than the thing rendered (such is elaboration).

We also show that using a cubic spline fit yields accurate approximations of the various radii.