Sentence examples for measured data satisfies from inspiring English sources

Furthermore, we assume that the measured data satisfies and.

We assume that the exact data (g(x)) and the measured data (g^{delta}(x)) satisfy biglVert g-g^{delta} bigrVert ledelta, (1.5) where (|cdot|) is the (L^{2}(Omega)) norm and (delta>0) is a noise level.

Suppose (g^{epsilon }) is for measured data in (L^{2}(0,2pi)) and satisfies begin{aligned} bigl| g^{epsilon }-gbigr| _{L^{2}(0,2pi)} le epsilon, end{aligned} (2) where (epsilon >0) represents a noisy level.

Wave modeling, also called tomographic, techniques perform a minimization process by solving iteratively Maxwell's equations for a set of possible scan scenarios until the difference between the measured data and the analytical solution satisfies a stop criterion [12 15].

Since the data g ( x ) is based on (physical) observation, there must exist measurement errors, and we assume the measured data g δ ( x ) ∈ L 2 ( R ), which satisfies ∥ g − g δ ∥ ≤ δ, (1.4).

There will be measured data function g δ ( x ) which is merely in L 2 ( R ) and satisfies ∥ g − g δ ∥ L 2 ( R ) ≤ δ, (1.2).

In applications, input data g ( x ) can only be measured, there will be measured data function g δ ( x ) which is merely in L 2 ( R ), and it satisfies ∥ g − g δ ∥ L 2 ( R ) ≤ δ, (1.2).

The tests were carried out on simulated and measured data and it was found that all-pole models are most suitable than all-zero models when both of the above two aspects must be satisfied by the approximation model.

models and measured data.

This is possible if the data satisfies certain constraints.

Assume that the initial data satisfies (2.6).