Sentence examples for shows that the functional from inspiring English sources

This shows that the functional Φ is a contraction mapping in (B_{X_{T}} (0, R)).

The analysis of 71 shows that the functional category F can be overt (as realized as or), not necessarily emptyq.

The next proposition shows that the functional W p, i ( K, ⋅ ) 1 / p : K o n → ( 0, ∞ ) is Lipschitzian.

The following lemma shows that the functional I verifies the geometry conditions of the mountain pass theorem.

This shows that the functional J is coercive and bounded from below on (mathcal{N}) and (dge c_{3}>0).

This work shows that the functional response can vary both quantitatively and qualitatively, with habitat type and predator size indicating ontogenetic changes in foraging efficiency in different habitats.

These studies show that the functional MVB pathway is important for proper autophagic function [ 51, 224, 225].

Sufficient interest in late-term abortions to actually research them would, furthermore, show that the functional NHS time limit is not 24 weeks but 19, after which public health services become so foot-draggingly obstructive that women have to go private.

In the following, we show that the functional ψ satisfies the (P.S).

The arguments of Theorem 3.3 show that the functional φ satisfies the PS condition.

Finally, we show that the functional φ satisfies the assumption (ii) of Lemma 1.4.