Sentence examples for bounded we can extract from inspiring English sources

As the sequence ( g n ) n is pointwise bounded, we can extract, by a diagonal procedure, a subsequence (not re-labeled) for which g n ( t k ) → g ˜ ( t k ), ∀ k ∈ N. (3).

Remark 5 We have proved that the sequence { u ( n ) } is bounded, so we can extract a subsequence, which we denote by { u ( n k ) } that is weakly convergent.

for all If is bounded, we can take.

If is bounded, we can easily know that is bounded [16].

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

Since the norm of Φ q is bounded uniformly in q, we can extract a sequence { q j } converging to 0 such that { Φ q j } converges in [ C 2, α ′ ( S 1 ) ] sym 3 for any fixed α ′ < α.

similarly we can get From the above two inequalities we know that the family is bounded, thus we know Therefore we can extract a subsequence which converges uniformly on compact sets of to a bounded uniformly continuous function of (3.47).

Since z j is uniformly bounded, standard parabolic estimates guarantee that we can extract once more a subsequence, still denoted by z j, such that z j converges uniformly on compact subsets to a function z∞ t, x).

We can extract the bounding box of the object in the surveillance video, using the background subtraction method of adaptive Gaussian mixture model [16, 17].

Since the synthesis procedure results in monotonic memory addressing functions, we can extract tight worst-case execution (WCET) bounds that are useful in system analysis.

We are running out of natural resources that we can extract at sufficiently low costs.