Sentence examples for dimensions s from inspiring English sources

More precisely, the graph G can be defined by the pair G = V, A, where the set V = v 1, …, v S K (nodes) represents the S K possible actions profiles of the game and A (edges) is a symmetric matrix (adjacency matrix of G) with dimensions S K × S KK and entries defined as follows ∀ ( n, m ) ∈ I 2 and n ≠ m, a n, m = a m, n = 1 if n ∈ V m 0 otherwise, (88).

Application of F filters simultaneously would result in constructing a vector of F filter scores that summarizes any of available patterns in F new dimensions: S T u = ∑ j = 1 n f i h j. pat u + h j ; i = 1, 2, …., F (1 where, S T (u) denotes the computed filter score and h j is the offset of each template node from the central node u.

Amoeboid movement is a typical persistent random walk [4], [5] following the equation

However, the Wilcoxon test of signed rank suggested no statistically significant difference between the PACIC scores of these two dimensions (S = -342.5, P-value = 0.5096).

This reduces the system to two dimensions, S and I. Thus, we study the control system in the (s, i -plane, defi -planeΩ = {(s, i), s, i ≥ 0, s + i ≤ 1}.

Both images have dimensions s and are defined in their spatial domain: (varOmega_{F} subset {mathbb{R}}^{d}) and (varOmega_{M} subset {mathbb{R}}^{d}) for fixed and moving images, respectively.

This yields a 3D curvature field, with two spatial dimensions (UV) and one scale dimension (S).

To this end, let C π ′ ∩ B s be of dimension s.

All conditional simplexes C π ∩ B s, π ∈ S N, of dimension s subdivide B s barycentrically.  .

If so, in what dimension(s) do these channels differ, and how?  .

The low-rank problem of dimension (s - 1) is caused by this design.