Sentence examples for assumption of large from inspiring English sources

Classical continuum theories are formulated based on the assumption of large scale separation.

Furthermore, analytical solutions are obtained for the closing crack under the assumption of large static deflections, a situation common in turbomachinery.

More specifically, we deal with finding the best way of mixing fixed amounts of two different elastic materials, so as to minimize the tip deflection of a cantilever beam loaded on its free extreme under the assumption of large deflections.

In recent years, the EV integration and vehicle-to-grid (V2G) technologies have been researched with the assumption of large scale deployment of EVs in [10, 14, 15, 16, 17, 18, 19, 20, 21].

With the aid of extrinsic information transfer (EXIT) charts [11,12], near capacity iterative decoding could be achieved through EXIT curve matching, under the assumption of large block size.

Thus, under the assumption of large number of transmitters and for any action profile p ∈ P ( b ), it follows that, ∀ s ∈ S, 1 K s ( p ) ∑ k ∈ K s ( p ) g k, s → K → ∞ ∫ 0 ∞ λ F̣ g s = Ω s, where F g s is the cumulative probability function associated with the channel gains over dimension s.

This corresponds to the assumption of large-angle scattering, which may represent the scattering due to a strongly turbulent magnetic field, or an approximation of successive small-angle scattering, such as the pitch-angle scattering by small-amplitude waves.

However, in suburban areas, open areas, or light traffic conditions, the assumptions of large number of surroundings and no line of sight become invalid and, therefore, a more realistic channel model is required.

Therefore, in the present study, first order shear deformation plate theory is considered with the assumptions of large deflections to perform the geometrically nonlinear and progressive failure analysis of moderately thick composite plates.

Despite the fact that the variable-user density is used in this article, the analysis is only valid under the asymptotic assumptions of large number of MTs K, i.e., K → ∞ and infinite configuration of number of cooperating BSs N, i.e., N → ∞ such that K N → c ∈ ( 0, 1 ) [17, 21, 23, 24].

As our results of GeSi QDs are very similar to that of InAs QDs, we applied the above concept to explain why the GeSi QDs are more conductive than the wetting layer, and why the larger QDs are more conductive by the assumption of the larger band lowering effects on larger QDs.