Sentence examples for and the associated evolution from inspiring English sources

This is attributed to the transient state of the growth front to a steady state and the associated evolution of the large diffusion layer ahead of the solid liquid interface.

When increasing the number of matings, threshold branching and the associated evolution of specialization occurred in fewer and fewer simulations.

In [6], Aubert and Aujol proved the existence of a minimizer for a variational model and studied the associated evolution problem, for which they derived existence and uniqueness results for the solution.

Under these conditions find the effort plan c♥(t)≥0, for t≥0, that maximizes total discounted net utility and such that the associated evolution of both feeling and effort are sustainable in the long run.

A -semigroup is exponentially dichotomic if and only if the associated evolution family is exponentially dichotomic (see [12, Proposition 4.4]).

(ii) A -semigroup is exponentially dichotomic if and only if the associated evolution family is exponentially dichotomic (see [12, Proposition 4.4]).  .

They used novel fractional analytic methods to show the existence and uniqueness of the associated evolution equations.

Each time you catch a duplicate you still get the associated evolution candy, and you can transfer unwanted Pokémon to the professor for more candy.

In Section 2, we introduce the abstract framework for perturbed problem (1.6) as well as for the limiting one (1.9) and we prove the existence of the associated evolution process.

The associated evolution of on-plant (serotiny) and soil seed storage, and later ant dispersal, affirms them as ancient adaptations to fire among flowering plants.

Then, if q⩾2∨(m−1), the associated evolution is Lq−L∞ regularizing at any time t>0 and the bound ∥∥u(t)∥∥∞⩽C u0)/tβ holds for t<1 for suitable explicit C u0),γ.