Sentence examples for solution is weak from inspiring English sources

So, in this article, we consider ε-approximate solutions defined as follows: x ¯ ∈ E is an ε-weak efficient solution of (P) if there does not exist any feasible solution x ∊ E such that f i ( x ) g i ( x ) < f i ( x ¯ ) g i ( x ¯ ) - ε i, i = 1, 2, …, p where ε = ( ε 1, ε 2, …, ε p ) with ε i ≥ 0, i = 1, 2, …, p, when ε = 0, an ε-weak efficient solution is weak efficient solution of (P).

The bending of the stable solution is weaker compared to the unstable solution.

The resulting linear programming bounds on the optimal integer solution are weak.

When most commercial solutions are weak, or make tall claims for solving the "security flavor of the day," we continue to feel vulnerable.

With the aid of Gehring's lemma, we prove that these very weak solutions are weak solutions.

Since every weak solution is a weak lower solution, is the greatest weak solution of (1.1) in.

We will show that, if u is solution of (AP), then u is weak solution of (AP 2).

In other words, the usual weak solution (for example, the measured value solution) is so weak that it lacks the regularity to ensure the stability or the uniqueness.

They are based on an 18th-century practice of diluting particular compounds in water or alcohol to the point where the solution is so weak as to contain no trace of the original compound at all.

Similarly, we show that every classical solution is a weak solution at the same time.

This analytical solution is a weak solution since it is continuous but not differentiable at the free boundary.