Sentence examples for every feasible solution from inspiring English sources

All fractional terms are conditional, i.e. in every feasible solution only a subset of the fractional terms is actually defined.

Since U Σ Σ H U H -D B  ≽ 0 for every feasible solution of (47), U has to satisfy U Σ Σ H U H  = D B. Lemma 2 then establishes that the first n columns of U are of the form [ diag ( u 1, 1, …, u n, n ) 0 N - m, n ] T, where |ui,i| = 1 for i = 1, …, n.

Proof: For the correctness of the above dynamic programming algorithm, we need to show that (i) every feasible solution of the SNP -  M S P problem would be essentially evaluated by the dynamic programming algorithm, and (ii) every string evaluated by the dynamic programming algorithm must be a feasible solution of the SNP -  M S P problem.

Next, we show that every feasible solution s″ to the reduced instance s, C ∑ of the SNP - M S Q problem is such that (i) C T (s ″ ) = C T, (ii) s″ contains exactly 3 m − 1 base Ts, and (iii) d H (s, s″) ≥ 2 m.

Every corner feasible solution of (P4) provides a basic feasible solution to (P3) and conversely.

This property theoretically guarantee that every basic feasible solution of the LP relaxation of seed finding model defined by constraint (8) is integer.

Given the known properties of the DC algorithm [15], the proposed approach, summarized in Algorithm 1, provides a feasible solution at every iteration and converges to a local minimum of problem (25).

Clearly, not every distance combination is a feasible solution: We say that an integral distance vector { d uv } uv  ∈  E is embeddable, if there exists a 2D arrangement of the nodes V on the grid such that the Manhattan distance of u and v is exactly d uv for every edge uv.

In this work, every local search MILP indeed found a feasible solution even if the timeout threshold was met.

"And after 12 months, we stopped without a feasible solution".

"Changing the local roadways is not a feasible solution".