Sentence examples for behavior in the limiting from inspiring English sources

The Landau expansion allows us to express the phase behavior in the limiting cases of small and large coupling analytically.

Although the unsterilized Si-HPMC solutions demonstrate no detectable influence of pH upon the rheological behavior, a decrease in the limiting viscosities (η0) of solutions with increasing pH is observed following steam sterilization.

For these cases we can say that the "limiting behavior" as ε→0 equals the "behavior in the limit" where ε = 0.

We might expect two-dimensional behavior in the limit a → 0 both from the difference of effective mass in the interface and from the interface potential.

The equation suffers a reduction in order when ε = 0. Thus, the character of the behavior in the limit ε = 0 differs fundamentally from the character of its limiting behavior.

On the other hand, if the behavior in the limit is of a fundamentally different character than the nearby solutions one obtains as ε→0, then the schema will fail.

If mass transfer is not possible, the dispersed phase exhibits non-Gaussian behavior in the limit of no coalescence or breakage.

The numerical solution for a scheme of polynomial order P is composed of P+1 eigenmodes, of which, one and exactly one is 'physical' such that it exhibits the analytical dispersion behavior in the limit of asymptotic grid resolution.

We employ Duhamel's formula to devise a modified predictor step which accounts for the effects of stiff source terms on the conservative fluxes and recovers the correct isothermal behavior in the limit of an infinite cooling/reaction rate.

Mathematically, the use of a ratio-dependent infection rate (~ XY/(X+Y), where X and Y are the uninfected and infected cell populations) leads to interesting behavior in the limit of low cell concentrations, and the authors do a good job of deriving and explaining this behavior.

In this section, we are interested in the limiting behavior of the smallest possible, non-trivial, network of agents whose beliefs are updated according to Eq. 14.