Sentence examples for unit spheres from inspiring English sources

This is a continuation of [23], which investigated the first eigenvalues of minimal isoparametric hypersurfaces with g= 4 distinct principal curvatures and focal submanifolds in unit spheres.

Building upon a recent existence result of Kuo and Sloan, this paper presents a component-by-component algorithm for constructing the m points of a quasi-Monte Carlo (QMC) rule for numerical integration over the d-fold product of unit spheres S2⊂R3.

In [35] the notion of Minkowski space is extended by considering unit spheres as closed, but in general nonsymmetric hypersurfaces, also called gauges.

(2) If geometric graphs G in which unit spheres have topological properties from spheres and fixed dimension are considered discrete analogues of manifolds and ℬ is a subgroup of automorphisms of G, then G / B plays the role of an orbifold.

(a,d) Tangent (red) and binormal (blue) vectors on a unit sphere.

The unit sphere is discretized into 42 integration points.

For example, if this was the unit sphere then I would just put x, y, z.

Thereby, the magnetization direction covers the entire unit sphere such that the topological charge Q amounts to one.

We want to study "good" finite subsets of the unit sphere.

# Compute the rectangular coordinates (x,y,z) of the location on the unit sphere of the Reichardt detectors.

In this case, numerical integration over the unit sphere is applied.