Sentence examples for by first considering a from inspiring English sources

We have established the kinetic model by steps, by first considering a homogeneous model and then by taking into account the heterogeneity of the medium.

A new approach is presented to resolve Cauchy integral equations of the first kind in the general case by first considering a regularized integral equation and then transforming it into a canonical form suitable for applying the Adomian decomposition method (ADM).

The link between these signals with chemiluminescence is examined in the present study by first considering a theoretical analysis to determine the relationships between the LIV, density and heat release rate perturbation signals in a multi-species reactive mixture of gases.

Voronoi tessellations are produced by first considering a set of points (known as nuclei) in d-space, and then defining cells as the set of points which are closest to each nuclei.

We begin the development of our spatial metapopulation model by first considering a simple non-spatial population where each individual produces on average a certain number of eggs, b(f).

This is achieved by first considering a genome-wide gene list and then, for each gene on the list, defining an interval made of 2 r + 1 genes: the gene itself, its r neighbors to the left, and r neighbors to the right.

This theorem can be proven by first considering an extreme case, in which for any two vertices (links) of F G K, they are not incident on any vertex of G.

This has been shown by first considering an auxiliary (larger) valuation bound for which the associated hedging strategy automatically satisfies the robustness property and then using a saddle point result (cf. Becherer and Kentia 2017, Theorem 4.13) to identify the auxiliary bound and hedging strategy with the standard good-deal bound and hedging strategy respectively.

We defined a nominal screening variable by first considering the receipt of a sigmoidoscopy/colonoscopy within five years of the interview date and then FOBT within one year, in a mutually exclusive manner.

We motivate our approach by first considering the case of a linear model, u i = M i u i -1, whose observations are a linear combination of the system state: y i = H i u i + ε i. (We follow the development in [ 17] here).

On the other hand, a good understanding could be obtained by first considering the axisymmetric regime when such a regime exists.