Sentence examples for provide characterizations from inspiring English sources

The main purpose of this section is to provide characterizations of L θ -convex functions.

In this paper, we provide characterizations and descriptions of incremental stability in terms of existence of coordinate-invariant notions of incremental Lyapunov functions and contraction metrics, respectively.

These methods arise from control theory and often provide characterizations of the asymptotic properties of dynamical systems in terms of the solvability of some associated control systems (see [4, 6, 13 21]).

One of our main aims in the present paper is to use these constraint qualifications (or their variations) involving subdifferentials, which have been studied and extensively used, see, for example, [2, 3, 6, 12, 26], to provide characterizations for the total Lagrangian duality.

Alternative methods resort on the factorization of the parameter marginal distribution as p(θ|y 1 T )∝p y 1 T |θ p and how Bayesian filters can be transformed to provide characterizations of the marginal likelihood distribution p y 1 T |θ) and related quantities.

The following two theorems provide characterizations of 2D peaks that may be translated into computer programs.

In summary, these data provide characterization of a new model of hip osteoarthritis.

CDEs also provide characterization of biospecimens collected at University of Pittsburgh Medical Center (UPMC).

In this study, we provide characterization of a sample of 254 unique full-length long terminal repeat (LTR) REs.

Recall that the predictive distribution p y k |y 1 k−1,θ) is composed of two distributions and that the PF provides characterizations of these two distributions.

High-throughput sequencing is capable of identifying thousands of loci, while providing characterizations of expression patterns and the molecular evolutionary forces acting within the venom gland.