Sentence examples for satisfied the solution from inspiring English sources

When the uniqueness condition is not satisfied, the solution of the algorithm is discarded, and the process ends.

Since all the three properties are satisfied, the solution which exists in the SABG, and hence the corresponding NE, is unique.

Therefore, if (alpha< 1) and the condition (52) is not satisfied, the solution of Problem D2 does not belong to (C^{2}(Q_{0}) cap C ( overline{Q} ) ) in general.

It is interesting to note that when a non-uniform PSD mask has to be satisfied, the solution to problem (9) remains the same as in (11), provided that the maximum allowable power in each sub-channel is set equal to the corresponding power constraint [25].

Thus in the case ϕ ≤ θ (i.e., if condition C is not satisfied), the solution of problem (61) obtained by using bracketing method[30, 31] lies at most away from the optimal solution.

When the inequality is not satisfied, the solutions do not oscillate in the sense that they do not possess an infinite number of zeros along the x-axis.

If (3.1) and (3.5) are satisfied, the solutions of (1.1) in X ( I ; M ) is continuously dependent on the given function g ( x ) in X ( I ; M 1 ).

If (28b) cannot be satisfied, the optimal solution of problem (28) is obtained when the equality in (28b) holds.

Since all conditions of Theorem 2.5 are satisfied, the zero solution of system (4.2) is asymptotically stable in the metric.

For example, if the condition (2.16) is satisfied, the following solutions are obtained.

For example, if the conditions (1.2)–(2.5) are satisfied, the following solutions are obtained [8].