Sentence examples for based at each vertex from inspiring English sources

If m = 2, then we will call the configuration v 1 ⟶ v 2 ⟶ v 1 a self-paired edge: it consists of a loop based at each vertex.

A nontrivial cyclic permutation of a cycle based at a vertex v is then a cycle based at a different vertex.

Suppose c is a cycle in a graph E based at a vertex v, and suppose e is an exit for c with s ( e ) = v.

In any graph E for which there exists a vertex having two distinct irreducible closed paths based at that vertex, it is not hard to show that there are uncountably many irrational infinite paths in E ∞.

Any vertex v is considered a path of length 0. A non-trivial path (mu ) (=e_{1}dots e_{n}) in E is closed if (r(e_{n} )=s(e_{1})), in which case (mu ) is said to be based at the vertex (s(e_{1})).

By cyclically permuting the edges of a closed path (mu =e_{1}dots e_{n}), we obtain a closed path (e_{k}dots e_{n}e_{1}dots e_{k-1}) based at the vertex (s(e_{k})) for any (k = 1, ldots, n).

Recursion: The score at each vertex is based on the scores of its children: where δ ¯ i, j = 0 i f i = j and 1 otherwise.

Based on graph theory, SCNVD can be described as a directed graph in which a system of stochastic time-varying delayed differential equations is assigned at each vertex, and the directed arcs indicate interconnections and interactions among vertex systems.

(c) The Pearson correlation coefficient between Δcurrent and ΔVAS at each vertex was colour-coded on the normalized brain (n=30).

We must also compute a weight at each vertex as described above.

Rendering then requires computing triple product integrals at each vertex, involving the lighting, visibility and BRDF.