Sentence examples for approximation of the sphere from inspiring English sources

Our approach yields a metric space of "isometric" unital complete order isomorphism classes of metrized operator systems which in many cases exhibits the same convergence properties as those in the quantum metric setting, as for example in Rieffel's approximation of the sphere by matrix algebras using Berezin quantization.

Analogues of the direct and converse theorems in the case of approximation on the sphere are given, for instance, by Pawelke [71] and Lizorkin and Rustamov [35].

Theorems about Jacobi expansions translate easily into analogous theorems for approximation on the sphere.

Although the present paper considers only the sphere, the strength of this new method is that it can be extended easily to other curved manifolds by considering appropriate coarse approximations to the desired manifold (here we used the icosahedral approximation to the sphere at the coarsest level).

Based on the insight from this estimate, I set the cell's force-expansion centres to (an approximation of) the centre of the smallest sphere enclosing all its particles, when the cell size and hence the error estimates are minimal.

In this paper, we consider the approximation of the Jackson-Matsuoka polynomial on the unit sphere in the Ba space.

Thus, the candidate with the minimum Euclidean distance is chosen as an approximation of the ML solution in the hard-output sphere decoder.

For Microcystis, we estimated cell volumes using a sphere as an approximation of the coccoid form of Microcystis cells (Holm and Armstrong 1981).

Based on the descriptions for the velocity potential of the incident beam and the scattering coefficients of the sphere in the long-wavelength approximation limit, simplified expressions for the spin and orbital radiation torque components are derived.

We examine the dependence of the plasmon and surface-plasmon frequencies on the shell thickness d and the outer radius r2 of the sphere using the standard random-phase approximation.

Two circles with centers in atoms "0" and "1" shows the first two coordinative "spheres," which limit the consideration by the approximation of the nearest neighbors.