Medical terminologies and ontologies are important tools for natural language processing of health record narratives. To account for the variability of language use, synonyms need to be stored in a semantic resource as textual instantiations of a concept. Developing such resources manually is, however, prohibitively expensive and likely to result in low coverage. To facilitate and expedite the ...

It is shown that the limit in an abstract version of Szegő’s limit theorem can be expressed in terms of the antistable dynamics of the system. When the system dynamics are regular, it is shown that the limit equals the difference between the antistable Lyapunov exponents of the system and those of its inverse. In the general case, the elements of the dichotomy spectrum give lower and upper bounds.

and Applied Analysis 3 H2 for all t > 0 and i, j ∈ {1, 2, . . . , n}, there exist constants η > 0, λ > 0 and ξi > 0 such that ∫∞ 0 ∣ ∣Kij u ∣ ∣edu < ∞, −η > − [ ci t − λe−ληi t − ηi t ci t ( λ c i e λη i )] ei t ξi n ∑ j 1 L̃j (∣ ∣aij t ∣ ∣eij t a ijηi t ci t e ληi t e ij ) ξj n ∑ j 1 Lj ∫∞ 0 ∣ ∣Kij u ∣ ∣edu (∣ ∣bij t ∣ ∣ b ijηi t ci t e ληi t ) ξj ; 1.5 H3 Ii t O e−λt t → ±∞ , i 1, 2, . . . , n...

In this paper we present a promising technique that enhances the efficiency of GAs, when they are applied to constrained optimisation problems. According to this technique, the problem constraints are included in the fitness function as penalty terms, that vary during the GA evolution, facilitating thus the location of the global optimum and the avoidance of local optima. Moreover we proceed to...

and Applied Analysis 3 In the light of (H1)–(H4), it is easy to see that problems (1)-(2) admit an equilibrium point u = 0. Definition 1. The equilibrium point u = 0 of problems (1)(2) is said to be globally exponentially stable if there exist constants κ > 0 andM ≥ 1 such that 󵄩󵄩󵄩󵄩u (t, x; t0, φ) 󵄩󵄩󵄩󵄩Ω ≤ M 󵄩󵄩󵄩󵄩φ 󵄩󵄩󵄩󵄩Ω e −κ(t−t 0 ) , t ≥ t 0 , (10) where ‖φ‖ 2 Ω = sup t 0 −τ≤s≤t 0 ∑ n i=1 ∫ Ω φ...

and Applied Analysis 3 So, if |x i (t + k )| > γ, then |x i (t k )| > γ.Thus, wemay assume that there exist i ∈ {1, 2, . . . , n} and t ∗ ∈ (t k , t k+1 ) such that 󵄨 󵄨 󵄨 󵄨 x i (t ∗ ) 󵄨 󵄨 󵄨 󵄨 = ξ i γ η , 󵄨 󵄨 󵄨 󵄨 󵄨 x j (t) 󵄨 󵄨 󵄨 󵄨 󵄨 < ξ j γ

Impulsive bidirectional associative memory neural network model with time-varying delays and reaction-diffusion terms is considered. Several sufficient conditions ensuring the existence, uniqueness, and global exponential stability of equilibrium point for the addressed neural network are derived by M-matrix theory, analytic methods, and inequality techniques. Moreover, the exponential converge...

This paper describes alternative approaches to estimate the Value at Risk (VaR) of a position. Four methods are compared: the unconditional case, the model with time varying drift (modeled as an AR(l) process), the model with time varying drift and time varying volatility (modeled as a GARCH(I,l) process) with error terms that are normally distributed, and the model with time varying drift and ...

fuzzy segmentation is an effective way of segmenting out objects in images containing both random noise and varying illumination. in this paper, a modified method based on the comprehensive learning particle swarm optimization (clpso) is proposed for pixel classification in hsi color space by selecting a fuzzy classification system with minimum number of fuzzy rules and minimum number of incorr...