Sentence examples for of spherical design from inspiring English sources

It is well-known that an equivalent condition of spherical design is given in terms of harmonic polynomials.

The method is inspired by Delsarte, Goethals and Seidel work in the case of spherical designs.

This survey discusses recent developments in the context of spherical designs and minimal energy point configurations on spheres.

We study the connection between the theory of spherical designs and the question of extrema of the height function of lattices.

As a generalization of these results, we prove that a union of spherical designs with a certain property carries the structure of a coherent configuration.

We apply polynomial techniques to investigate the structure of spherical designs in an asymptotic process with fixed odd strength while the dimension and odd cardinality tend to infinity in a certain relation.

In this paper we first establish a new variational characterisation of spherical designs: it is shown that a set XN="{x1,…,xN}⊂Sd, where Sd:="{x∈Rd+1:∑j= 1dxj2="1}, is a spherical L-design if and only if a certain non-negative quantity AL,N XN) vanishes.

These definitions are of a different nature, illustrating the broadness of the concept of a spherical design.

Because of their spherical design and minimal surface area, dome homes are less susceptible to cold temperatures in the winter and heat in the summer, and they rarely experience radiant heat loss.

This paper is concerned with the equivalence of four definitions for spherical designs.

Thus, two dome-shaped skeletons represent halves of a more spherical design, which suggests that the role of the silicoflagellate basal ring is to enable double skeleton formation, but the full implications of this have yet to be explored.