Sentence examples for an initial data from inspiring English sources

Algorithm 3.1 Choose an initial data x 1 ∈ H 1 arbitrarily.

Under such assumptions, equation (2) with an initial data admits a unique solutions.

Firstly, an initial data thinning is performed, to reduce the copious data set size, employing 3D spatial filtering.

Fig. 1 Total neural activity N ( t ) computed with α = 2 and an initial data as e − s.

Our implementation consists of three steps: (i) an initial data exploration for scanning the clustering parameter space; (ii) determination of the optimal clustering parameters; and (iii) final clustering.

In this theoretical work, we modify a well-known sticker model to design an algorithm that does not require an initial data pool for SAT problem.

Given an arbitrary initial data x 1 ∈ H 1. Assume that x n is the current value for n ≥ 1.

Algorithm 3.5 Choose an arbitrary initial data x 1 ∈ H 1. Assume that the n th iteration x n ∈ H 1 has been constructed.

The above conditions guarantee (see, e.g., [1]) the existence of a unique solution of (1.1) for a given initial data (X_{0}=xinmathbb{R}).

Specifically, we consider the two following cases: (a) Töplitz initial data and Lipschitz interaction forces, and (b) analytic initial data and interaction potential, over short time intervals independent of ħ.

Recently, Liu and Wei [18] used a quasi-reversibility regularization method for solving an IHCP without initial data.