Sentence examples for bounded we can take from inspiring English sources

for all If is bounded, we can take.

Since is bounded, we can take a constant such that (2.30).

If |u n |2 is bounded, we can take ϕ = u n.

Since, and are bounded, we can take a constant such that (3.125).

Since,, and are bounded, we can take a constant such that (3.64).

Since { x n } is bounded, we can take a constant M 3 > 0 such that M 3 ≥ M ( z ) ∥ x n + 1 − z ∥, n ≥ 1.

Moreover, for any and bounded set, we can take a sequence such that (see [23], P125).

In other words, for this bounded, we can write:.

If we take America's performance as a good estimate of potential rich-country growth (rather than, more likely, a very conservative lower bound), then we can take this growing Atlantic divergence as a measure of policy-induced macroeconomic failure: in other words, the gap in output and welfare that Europeans are needlessly costing themselves by behaving foolishly.

For every bounded set and any, we can take a sequence such that (see [32]), thus from Lemmas 2.6 2.8, and 2.12 and (H2), we have (3.30).

In fact, we only need to construct a bounded positive upper solution since that we can take ( 0, 0 ) as lower solution.