Sentence examples for exist robustly from inspiring English sources

In this case, W u ( p ) and W s ( q ) (and similarly, W u ( q ) and W s ( p ) ) intersect transversely, and therefore, a heteroclinic cycle between p and q can exist robustly.

Recall that the critical manifold S is a collection of families of equilibria of the fast subsystem of (1); the folds F 1 and F 2 are curves of saddle-node bifurcations that exist robustly in the ( m SO, h SI ) -parameter plane organised by the two slow variables.

But its campaign coverage will exist more robustly online, on a Web site that promotes voter registration and that will feature a fantasy election game.

The short answer is that the moral law most emphatically existed – a claim that can be robustly defended, in another time and place – and anyway, legal codes and principles everywhere existed which proscribed, within their own jurisdictions, the kinds of crimes that the Nazis committed; so the Nuremberg principles were, in effect, just an extension and application of them.

The results indicated that the miRNAs stably existed in plasma and could be robustly detectable through qRT-PCR assay.

The DSNN (1) is said to be robustly exponentially stable in the mean square if there exist constants α > 0 and μ ∈ ( 0, 1 ) such that every solution of the DSNN (1) satisfies that E { ∥ x ( k ) ∥ 2 } ≤ α μ k max − τ M ≤ i ≤ 0 E { ∥ x ( i ) ∥ 2 }, ∀ k ∈ N + (16).

There is no universal identification algorithm or protocol that can be robustly applied to all classes of molecules, and thus exists a major need for the further development of methods that can build on the recent progress made, including the work described in this Account.

He knows the England captain should always be robustly debated".

Let (f|_{Lambda}) be robustly chain transitive.

To be robustly scientific-.

And, as with Brecht, his characters existed in a robustly materialist world.