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First, since (p(B_{l})) is relatively compact in X and (T cdot)) is strongly continuous, applying the Arzelà-Ascoli theorem, we infer that the set ({T cdot p(x): xin B_{l}}) is relatively compact in (C(J X)).
Through this process of continuous applying and reapplication of makeup, your brush too gets dirty and damaged.
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Thus (otimes ) indeed gives a k-linear structure; to prove that it is continuous, apply the same argument to (I times [1]).
Consequently (mathcal{K}) is completely continuous by applying the Azelá-Ascoli theorem.
In this study the same concept was successfully applied in continuous mode applying a three-phase structured reactor in the hydrogenation of citral.
Worldwide, accreditation focuses on promoting continuous improvements, applying standards and providing feedback [ 2].
for any bounded Lipschitz-continuous function ; applying Toeplitz Lemma (2.16).
Light and continuous forces applied to the dentoalveolar complex produce ideal rates of alignment.
Continuous queries applied over nonterminating data streams usually specify windows in order to obtain an evolving yet restricted set of tuples and thus provide timely and incremental results.
This technique provides a promising and straightforward way to fabricate infinite and continuous fibers applied as nanostructure and biomedical materials [10].
Because of the continuous flow applied during HFPV the patient is able to breathe spontaneously at any time during the respiratory cycle, and respiratory weaning can be performed.
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