Sentence examples for finite sections from inspiring English sources

We particularly discuss the approximation by rectangular finite sections and the impact of the fundamental result of Shargorodsky on "jumping" pseudospectra.

The clusters are chosen as finite sections of the ideal MoO3 surface where cluster embedding is achieved by bond saturation with hydrogen terminator atoms yielding clusters up to Mo7O30H18.

In this paper we discuss the asymptotic distribution of the approximation numbers of the finite sections for a Toeplitz operator T a)∈L ℓp), 1

We prove that the behavior of the approximation numbers of the finite sections Tn(a)="PnT a Pn depends heavily on the Fredholm properties of the operators T(a) and T(˜a)(a˜(t)="a(1/t)).

These sequences, AN a), with a being in a Wiener type algebra and defined on an annular cylinder ([0,1]2×T), widely generalize the sequences of finite sections of a Toeplitz operator.

The universe may be infinite, but we can only see a finite section of it due to the finite speed of light.

The 3D case is hard to show in a diagram, since it involves a 3-hyperboloid projected into a ball -- a finite section of Euclidean 3-space.

Figure 3.7 shows the two-dimensional case: the surface of the hyperboloid projects into a disc -- a finite section of a Euclidean plane.

The method is based on the mass dependence of the flexural resonance frequencies of a finite section of a tube.

In this way, the model obtains accurate results when a finite section of railway track is considered.

This implies that the so-called finite section method for the approximate solution of a system A+x="b is applicable as soon as A+ is invertible, and that the finite section method for estimating the spectrum of A+ does not suffer from spectral pollution.