Sentence examples for by using a graph from inspiring English sources
In this paper, we introduce the ( G, ψ ) -contraction and the ( G, ψ ) -graphic contraction in a metric space by using a graph.
Theorem 5 A constant c whose MNSD is S(c) > 2 p − 1 + 2 Ω(c) − 1 only can be obtained by using a graph with at least p + 1 A-operations.
Theorem 2 A constant c whose MNSD is S c) > 2 p − 1 + 2 q − 1 with q = {1, 2,…, (p − 1)} can be obtained by using a graph with p A-operations only if at least q of these operations are articulation points.
Theorem 6 A constant c whose MNSD is S(c) > 3 × 2p − 2+ 2Ω c) + q − 2with q = {1, 2,…, (p − Ω(c) − 1)} only can be obtained by using a graph with A-depth at least equal to p + 1 if up to p + q A-operations are used, or with at least p + q + 1 A-operations if the minimum A-depth equal to p is preserved.
Nonetheless, the current work provided new data, not only addressing the alteration in local networks, but also describing the alteration in global topological properties in mTLE patients by using a graph theoretical approach.
A more mathematical explanation for this result is as follows: Instead of determining partitions by using a graph invariant, e.g., number of vertices or edges, and then calculating a probability for each such partition, we assign a probability value to every vertex in a graph.
The storage requirement of the multiple bank implementation is the same as a single bank implementation by using a graph-based memory bank addressing scheme.
The composition layer for providing domain experts with the possibility of creating professional stories by using a graph-based authoring tool. 3.
The global stability of the endemic equilibrium is also proved by using a graph-theoretic approach to the method of Lyapunov functions.
Harel et al. [13] used Itti's model to create feature maps, which are integrated into activation maps by using a graph-based approach.
Variable side chains and main chains were constructed by using a graph-theory clique-finding approach, which explores a variety of possible conformations for the respective side chains and main chains and finds the optimal combination by using an all-atom scoring function.
