This article investigates the stability analysis of discrete-time neural networks with time-varying delays by utilization quadratic delay information. First, three extended negative-definiteness lemmas for matrix-valued function different matrices injection are established. Second, a novel delay-product-type Lyapunov functional asymmetric summation is developed to relax positive-definiteness fu...

Intercausal reasoning is a common inference pattern involving probabilistic dependence of causes of an observed common effect. The sign of this dependence is captured by a qual­ itative property called product synergy. The current definition of product synergy is insuf­ ficient for intercausal reasoning where there are additional uninstantiated causes of the common effect. We propose a new defi...

Definiteness expresses a constellation of semantic, pragmatic, and discourse properties—the communicative functions—of an NP. We present a supervised classifier for English NPs that uses lexical, morphological, and syntactic features to predict an NP’s communicative function in terms of a language-universal classification scheme. Our classifiers establish strong baselines for future work in thi...

We provide a semantic account of the free ordering of NP-internal elements in Chinese and argue that this provides evidence for the lack of DP in Chinese. We also extend this account to the Mandarin plural marker –men, tying the definiteness of –men phrases and its number/definiteness interaction to the classifier status of –men and the lack of DP in Chinese. We show that the binding properties...

We establish the positive definiteness of some functions and of some matrices that arise as solutions of generalized Lyapunov equations. Mathematics Subject Classification (2000) : 42A82, 47A62, 15A24, 15A48.