Sentence examples for by considering the explicit from inspiring English sources

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In Theorem 3.2, for (p=1), we can show that the singular system (3.2) is exponentially practically stable in the pth-moment with respect to (w k)) by considering the explicit form of solution of the system.

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By considering the spatially explicit nature of emission sources and the changes in concentration which occur with transport in the channel system, the approach offers significant advantages over simple one-segment simulations while being more readily applicable than more sophisticated, highly segmented, GIS-based models.

By considering the interaction between the farm-level infectious period and explicit temporal pattern of catching-team visits, our results have implications for the between-farm spread, or the network dynamics, of HPAI.

In this section we consider the explicit affine solution to the two-dimensional Euler equations.

Our scheme algorithmically estimates the importance of each advertisement by considering both explicit interactions between advertisements and social media users and users' popularity.

In this section we give more explicit nonzero solutions by considering explicit twin wave solutions to the two-dimensional Euler equations.

Quantitative measures of complexity can be most readily introduced by considering an explicit example.

The key features of the proposed approach are: (i) all resources are treated in unified way for the first time, (ii) simplified handling of multiple orders using the concept of active task, (iii) handling of shared storage problems in non-aggregated storage tanks by considering explicit storage tasks.

The peer review part of the intervention was appreciated by the majority of the participants, despite it being of less value when considering the contribution to explicit outcome effects (i.e. new input to TMM and new suggestions for action).

Motivated by Theorem B, Halpern [3] considered the following explicit iteration: (1.3).

As motivated by Theorem B, Halpern [4] considered the following explicit iteration: x 0 ∈ C, x n + 1 = α n u + 1 - α n T x n, n ≥ 0, (1.1).

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