Central to associative learning theory is the proposal that the concurrent activation of a pair of event representations will establish or strengthen a link between them. Associative theorists have devoted much energy to establishing what representations are involved in any given learning paradigm and the rules that determine the degree to which the link is strengthened. They have paid less att...

The water-exchange mechanism of [UO(2)(OH(2))(5)](2+) has been reinvestigated by using ab initio molecular orbital (MO) methods. The geometries and the vibrational frequencies were computed with CAS-SCF(12/11)-SCRF and CAS-SCF(12/11)-PCM methods, which take into account static electron correlation (using the complete active space self-consistent field (CAS-SCF) technique, based on an active spa...

This paper studies some geometric aspects of indistinguishability operators (also called similarities and fuzzy equivalences). Concretely, it will be focused on the (geometric) group associated to a T-indistinguishability operator E on X (i.e., the group of all bijective maps h : X 4 X such that E ( x , y) = E(h(x) , h(Y)) b'x, Y E XI. The cases for E being one-dimensional and invariant under t...

In this paper, we study the two following minimization problems: S0(q, φ) = inf u∈H2 0 (Ω),‖u+φ‖q=1 ∫ Ω | u|2 and Sθ (q, φ) = inf u∈H2 θ (Ω),‖u+φ‖q=1 ∫ Ω | u|2. We prove that for a class of maps φ, we have Sθ (q, φ) < S0(q, φ) and for another class, we have Sθ (q, φ) = S0(q, φ). c © 2005 Elsevier Ltd. All rights reserved.

The interplay between modelling and experimental studies can support the exploration of the function of neuronal circuits in the cortex. We exemplify such an approach with a study on the role of spike timing and gamma-oscillations in associative memory in strongly connected circuits of cortical neurones. It is demonstrated how associative memory studies on different levels of abstraction can sp...