Sentence examples for by the solution set from inspiring English sources

Denote by the solution set of (VQVI).

The problem (2.5) is called a fuzzy mixed variational-like inequality problem, and we will denote by the solution set of the problem (2.5).

This usually involves a symmetry-based approach to solving a given ordinary difference equation by considering the structure of the solution set.

Adding simple clustering measures from graph theoretic methods and gene co-expression information improves the results further by increasing the size of the solution set.

The solvability of GOCP is based on two crucial observations on the qualitative properties of the solution set of by Bothe [61] and Kryszewski [60].

Denote by S the solution set.

We denote by Ω the solution set of problem (2.1).

We denote by Sol ( P ) the solution set of problem (P).

If we denote by P ′ the solution set to the perturbed system A x ≤ b ′, then h ( P, P ′ ) ≤ α ∥ b − b ′ ∥ (2.1).

(1.1) Throughout this paper, we denote the solution set by (K^).

Let (Omega:={(x,y in Ctimes Q: Ax=By}) be the solution set of problem (SEP).