Sentence examples for existence of limits from inspiring English sources

Most importantly and disturbingly, as Clive Hamilton has best demonstrated in his seminal work, Requiem for a Species, it expresses the psychological unwillingness of the character type produced within the consumer society to recognise the necessity for material sacrifice and even the existence of limits.

The Winsor-III-like behavior associated with the presence of alkanes in the hydro-alcoholic reaction media used in the surfactant-assisted preparative procedure allows explaining the existence of limits to the mesopore size expansion.

It is shown that, in the approximation used, the optimal configurations in the general case contain end faces and cylindrical segments of the boundary extremum, which appear due to the existence of limits of applicability of local models.

We extend to the case p = 1 a characterization of the Radon-Nikodym property based on the existence of limits at the boundary for harmonic functions with maximal function in L1.

This result will be combined with some issues concerning the existence of limits of all the partial population at infinite time to conclude that there is a unique total population at the endemic equilibrium points so that, from Theorem 3.4, there is a unique endemic equilibrium point (see Remark 5.1 and Theorem 5.2 in Section 5).

\sqrt 2 A way to ensure the existence of limits of certain infinite series is to restrict attention to spaces where any Cauchy sequence has a limit; such a vector space is called complete.

The existence of limit cycles and their behavior are also presented.

Section 4 is devoted to deriving the existence of limit cycle.

Numerical simulations illustrate the validity of these conditions and the existence of limit cycles.

In this case the existence of limit cycles is granted (see, for instance, [6]).

Modelling results and experimental verification confirmed the existence of limit-cycle attractors for a laboratory scale reactor.