Sentence examples for obtain characterizations from inspiring English sources

As applications we obtain characterizations of the concepts in terms of Lyapnov functions.

We also obtain characterizations of Kazhdan sets in second countable locally compact abelian groups, in the Heisenberg groups and in the group Aff+(R).

One possible reason that we do not obtain characterizations in the full range of Lebesgue parameters ((0,infty ]) is that new difficulties arise as soon as a Lebesgue parameter is smaller than one.

The goal of this work is to obtain characterizations of the holomorphic Triebel Lizorkin spaces in terms of Littlewood Paley functions, admissible area functions, complex tangential derivatives, and boundary values.

We obtain characterizations of positive Borel measures μ on Bn so that the nonisotropic potential space Kα[Lp(dσ)] is imbedded in the tent space T2q(dμ), where 1

Experiments on small elements of the separate components are performed to obtain characterization data for a discrete, two-phase modeling approach.

And then, Sawyer [18, 19] obtained characterizations of two-weighted norm inequalities for the Hardy-Littlewood maximal function and for the fractional and Poisson integral operators, respectively.

Mas-Colell ([1980]) proposed a voluntary financing process, which is a global analog of the MDP Procedure.5 He obtained characterizations of Pareto optimal and core states in terms of valuation functions.

Therefore in the case of discrete time linear stochastic systems subject to Markovian perturbations one obtains characterizations of the mean square exponential stability which do not have an analogous in the continuous time.

The obtained characterization generalizes our announced result in Boussejra and Intissar, C

The obtained characterization results present that copper foam possesses large pore structure, micro-/nanoscale two-tier surface roughness, high water contact angle (153.6°), and low sliding angle (4.5°).