Sentence examples for present the approximation from inspiring English sources

We now present the approximation solvability of the problem (1.1).

The next subsection will present the approximation of ergodic capacity and propose the ergodic capacity-based mode switching.

In this section, we present the approximation to the uniform attractor obtained in Theory A by the uniform attractor of following finite-dimensional lattice systems in : (51).

where ρ, η > 0, α n ∈ [ 0, 1 ] and β n ∈ [ 0, 1 ] for all n ≥ 0. In this section, based on Algorithm 2.1, we now present the approximation solvability of problem (1.1) involving relaxed g- ( γ, r ) -cocoercive and g-μ-Lipschitz continuous in the first variable mappings in Hilbert settings.

In Table 2, we present the approximations of the floating potential α and the computational times.

In this paper we present the first approximation to a fully coupled model for simulating chemical reactions between engineered coal combustion byproducts (specifically fixed scrubber sludge-FSS) and ambient groundwater.

We first present the difference approximation equations for the convenience of users.

In this section, we present the -harmonic approximation lemma, the key ingredient in proving our regularity result, and some useful preliminaries will be need in later.

In Section 4, we present the asymptotic approximations to the three different types of ruin probabilities by large deviation theorems for our models.

In the next theorem, we present the error estimate of our approximation.

In the area of inference algorithms, we present the first variational approximation for one class of these priors, demonstrating in what regimes they might be preferred over more traditional MCMC approaches.