Sentence examples for analytically established from inspiring English sources

Simulations confirm analytically established assessments.

As shown in Figure 5, the empirically calculated moments are almost equal to the analytically established ones.

Its statistical performances are analytically established; this highlights the impact of quantization on the most powerful steganalyzer.

In the present paper, the moments of the LR (15) are not analytically established; the interested reader can refer to [22].

With the consideration of both longitudinal and hoop deformation behavior of pipeline, a ring-truss theory was analytically established in this study.

Since free-tunable product of two eigenfunctions also controls stability of the model, the validity of the analytically established von Neumann stability diagram is examined in Poiseuille profile.

The objective of this paper is to analytically establish the effects of bidirectional loading on the response of reinforced masonry shear walls.

Section 3 analytically establishes the criteria for the existence of at least two positive solutions in the boundary value problems (1.9) and (1.10) with the aid of the Avery-Henderson fixed point theorem.

We also analytically establish the relationship between the mass exchange rates of solutes with different molecular diffusion coefficients, and verify this relationship against the results directly calculated from the pore-scale simulations.

In particular, although we will not specify an optimal β, we will analytically establish some results about how spike times depend on β, including the fact that the number of spikes saturates as β grows, which is consistent with [13] and contrasts with the non-monotone dependence of θ ( P ) on β seen in the previous section.

We analytically establish the conditions for the existence of at least two or three positive solutions in the generalized -point boundary value problem for the -Laplacian dynamic equations on time scales by means of the Avery-Henderson fixed point theorem and the five functionals fixed point theorem.