Sentence examples for derive a characterization from inspiring English sources

We first provide a differentiable characterization for a mapping between arbitrary Banach spaces to be a contraction.3 This serves as a useful lemma from which we derive a characterization of the local contraction property.

We then derive a characterization for agreement.

In this section, we derive a characterization of the solutions of the VAFFP (Theorem 1 below) as constrained spanning arborescences of a directed acyclic graph (DAG) called the ancestry graph (Definition 4 below).

Remarkably, Stewart and Plotkin (2013, 2014) derived a characterization of all memory-one strategies which are robust in an evolutionary sense, for given population size N.

Using this we derive a variational characterization for the eigenvalues of the Cauchy process in D. This characterization leads to many detailed properties of the eigenvalues and eigenfunctions for the Cauchy process inspired by those for Brownian motion.

In this article we derive a complete characterization of the Solvent Excluded Surface (SES) for molecular systems including a complete characterization of singularities of the surface.

We study families of time-frequency localization operators and derive a new characterization of modulation spaces.

One approach is to employ qualitative probabilistic network theory in order to derive a qualitative characterization of ICI models.

This chapter describes a methodology to derive a simple characterization of a parallel program and models of its performance on target architecture.

During the next step, we try to derive a detailed characterization of every process node including decision-making entities as well as the respective context of the decision.

Finally, from Lemmas 5 and 6 and Theorem 3 in "The edge-covering problem" section, we derive a full characterization for the solvability of edge covering.