Sentence examples for persistent solutions from inspiring English sources

One usually concerns the existence of special kind of persistent solutions under perturbation.

Among the most persistent solutions to the problem of randomness and the certainty of death is the belief that there is an organizing principle to human life that gives it meaning, something beyond our powers of reason or simple ideas about how to cope with unfairness.

Corollary 3.8 If max ℜ Σ p ( A ) < 0, then the persistent solution V f of (3) is asymptotically stable.

Thus the point spectrum is enough to characterize the linear stability: Proposition 3.10 If max ℜ Σ p ( A ) < 0 the persistent solution V f of (6) is asymptotically stable.

Since installing separate RSUs for each direction is not economically feasible, it is better, from a system point of view to deploy the S-persistent solution, which offers a very similar performance, while not suffering from the unfair WLAN sharing issue.

In the study of bifurcations, under a small forced perturbation, the existence of persistent periodic solutions usually needs a setting of nondegenerate conditions which include the nonvanishing of the derivative of the period function (see, for instance, Chicone [4]).

We will prove that the convexity of the potential and the oscillatory nonlinearity imply that the existence of the infinity of persistent subharmonic solutions, that is, we have the following.

The user is also charged for reserved storage on Amazon and for data transfer out of the AWS site and from/to persistent storage solutions.

A set is persistent if each solution of (2.1) with is persistent.

System (3) is said to be weakly persistent if every solution ((P t),Z(t))) satisfies two conditions: (1) (P(t)geq0), (Z(t geq0), (forall tgeq0).

The most remarkable aspects of the experiment are that brown dye is always the most persistent in the solution and that a catalyst is not needed to degrade the dyes quickly.