Sentence examples for functional introduced from inspiring English sources

This functional (introduced by R.F.

In this paper, by using Minkowski functional introduced by Kadelburg et al. (Appl. Math. Lett. 24 370-374, 2011) or nonlinear scalarization function introduced by Du (Nonlinear Anal.

Due to the identity (2.3), in which the error bound T g ( f ; u ) can be represented as D ( u ; f ), where D ( u ; f ) = ∫ a b u ( t ) d f ( t ) − [ f ( b ) − f ( a ) ] ⋅ 1 b − a ∫ a b u ( t ) d t, is a Grüss type functional introduced in [8], any sharp bound for D ( u ; f ) will be a sharp bound for T g ( f ; u ).

Based on the appropriate Lyapunov Krasovskii functional, introducing some free weighting matrices and using convexity of matrix functions, a novel synchronization criterion is derived.

We have established a new sufficient condition which includes the diffusion coefficients by constructing the suitable Lyapunov functional, introducing many real parameters and applying inequality techniques.

On the basis of the appropriate Lyapunov-Krasovskii functional, introducing some free weighting matrices, new synchronization criteria are derived in terms of linear matrix inequalities (LMIs).

The formalism of influence functionals introduced by Feynman and Vernon (Ann. Phys. 281 (2000) 547) for open systems was applied to design a quantum computing system using nanowires or nanotubes.

A set of criteria is presented for the global exponential stability and the existence of periodic solutions of delayed cellular neural networks (DCNNs) by constructing suitable Lyapunov functionals, introducing many parameters and combining with the elementary inequality technique.

This specific functional response covers various types of incidence rate including the traditional bilinear incidence rate, the saturated incidence rate, the Beddington DeAngelis functional response introduced in [16, 17], and the Crowley Martin functional response presented in [18].

The MWCNTs were functionalized in nitric acid with functional groups introduced on the surface.

Although each of the functional groups introduced above has a characteristic set of favoured reactions, it is not always possible to predict the properties of organic compounds that contain several different functional groups.