Sentence examples for and the vertices of from inspiring English sources

A mesh of nearly regular simplices is constructed and the vertices of the simplices are used as potential design points.

Throughout this paper, a path could be finite or infinite, and the vertices of the path are pairwise distinct.

Through this Voronoi cell merging, irregular convex and concave polygons are obtained and the vertices of which are modeled as control points of closed B-Spline curves.

We show that, besides other support points, the origin and the vertices of the simplex are necessarily the support points of the optimum design.

Then the images partially overlapping with the tile are added as well: for this purpose, the images neighbouring the center and the vertices of the tile are considered.

We assume that Ω ¯ h is convex and the vertices of T h placed on the boundary of Γ h are points of ∂ Ω.

ℛ is attached to the sweep−line status ℒ and records the vertices of the regions of intersection encountered thus far on the sweep.

We consider θ0 as the number of vertices of the maximal clique that contains v1, minus one; and we insert the vertices of this clique in (P^{theta_{0}}).

Assume we are given the problem of optimizing the number and positions of the vertices of a Hamiltonian cycle.

Some individual genomes are derived from a single ancestral population and lie at the vertices of the tetrahedron.

The iron atoms are close-to-coplanar and lie on the vertices of a square with Fe Fe distances of just over 1 nm.