The variable-free semantics of Jacobson (1999, 2000, 2014) derives binding relations by the local application z-rule. This rule, however, under- generates binding. paper makes two contributions: (i) replacing z-rule with a more flexible rule called i (a la W-combinator Szabolcsi 1992), which allows for relations; (ii) enriching Jacobson’s system and proposing two-dimensional analysis to account...

Computational analysis, design and expression of hybrid antibody in Single Chain Fragment Variable (scFv) form for identifying surface antigen factor H binding protein (fHbp) Neisseria meningitidis

The neural binding problem (NBP) encompasses three distinct situations: feature binding, variable binding, and the subjective unity of perception. Feature binding involves associating the correct (visual) features with objects and is fairly well understood. Variable binding arises in natural language and other abstract thought; there are ingenious proposed models, but no experimental confirmati...

We discuss the Hegselmann-Krause model for opinion dynamics in discrete-time for a collection of homogeneous agents. Each agent opinion is modeled by a scalar variable, and the neighbors of an agent are defined by a symmetric confidence level. We provide an upper bound for the termination time of the dynamics by using a Lyapunov type approach. Specifically, through the use of a properly defined...

We consider the nonlinear stochastic heat equation in one dimension. Under some conditions on the nonlinearity, we show that the "peaks" of the solution are rare, almost fractal like. We also provide an upper bound on the length of the "islands", the regions of large values. These results are obtained by analyzing the correlation length of the solution.