Sentence examples for characterization of limit from inspiring English sources

The early "arithmetizers" found a way to avoid infinitesimals (in terms of the epsilon-delta characterization of limit processes familiar from current introductions to the calculus).

In this paper, the reasons for this are displayed, and a characterization of the limit LTI model is given under quite general conditions.

In the following theorems, we give the uniqueness and algebraic characterization of statistical limit for triple sequences of fuzzy numbers.

This paper reports an experimental and computational investigation aimed at understanding and quantifying the source of uncertainties associated with such characterization of extinction limits of fuel air mixtures, ranging from low extinction strain rate methane air flames to high-extinction strain rate ethylene air flames.

Cores of cooperative games are ubiquitous in information theory and arise most frequently in the characterization of fundamental limits in various scenarios involving multiple users.

Second, it allows for the characterization of species limits without use of a point estimate of the phylogeny.

I use the theories of duality and optimal branchings to find a necessary and sufficient characterization of stochastically stable limit sets (SSLS) that helps improve the radius — modified coradius test of Ellison (2000).

The idea of measuring secrecy using mutual information lends itself naturally to the investigation of how the channel can influence secrecy and further to the characterization of the fundamental limit of secure transmission rate.

To our knowledge, this study represents the first rigorous characterization of the detection limit of CuAAC in a complex protein mixture, paving the way for using this powerful chemistry to quantitatively analyze the dynamics of glycan biosynthesis.

Now recall that the sets N ∩ { x ˜ ∈ X : R (x ) - δ < R (x ˜ ) < R (x ) + δ } form a basis of neighborhoods of x for the topology τ R. Therefore (17) and (18), and the characterization of the upper limit of sets given in Remark 2.4 imply that x ∈ τ R - Lim sup k → ∞ Σ k.

Furthermore, recent developments in the characterization of sheet forming limits under non-proportional loading suggest that is advantageous to view forming limit behavior in terms of stresses rather than strains, a view that is adopted in this paper.