It is commonly believed that information processing in cortical networks involves the collective spiking activity of neuronal assemblies. Nevertheless, due to current technical limitations in multielectrodes recording methods, it is not possible to tackle this issue with direct experimental measurements. In this study we simulate spiking activity of large ensembles of cells focusing on the temp...

Introduction The business value research, after the initial findings of missing impact of IT systems, has focused on alternate mechanisms that affect performance of IT systems (Loveman 1994, Barua and Mukhopadhayay 2000, Brynjoffsson and Hitt 1996). Amongst the various processes that affect the value realization of IT, a critical factor is related to the complementary processes and mechanisms t...

Keratoconus causes a reduction in the optical quality of the eye as a result of corneal distortion, corneal scarring and higher-order aberrations. The correction of these optical aberrations would significantly improve the visual performance of keratoconic eyes. However the first step would be to measure the optical flaws in keratoconus accurately, which in itself presents a challenge. This pap...

We give an outline of the computation of the third order term in a generalization of the Strong Szegö Limit Theorem for a zeroth order pseudodifferential operator (PsDO) on a Zoll manifold of an arbitrary dimension, see [Gi2] for the detailed proof. This is a refinement of a result by V. Guillemin and K. Okikiolu who have computed the second order term in [GO2]. An important role in our proof i...

In this paper we present microlocalised time-decay rates of solutions to hyperbolic equations with constant coefficients with arbitrary lower order terms. A particular attention is paid to regions with multiplicities. AMS Mathematics Subject Classification (2000): 35L30, 35L45

We consider a second order operator with analytic coefficients whose principal symbol vanishes exactly to order two on a symplectic real analytic manifold. We assume that the first (non degenerate) eigenvalue vanishes on a symplectic submanifold of the characteristic manifold. In the C∞ framework this situation would mean a loss of 3/2 derivatives (see [5]). We prove that this operator is analy...

In technical practice often occur higher order processes when a design of an optimal controller leads to complicated control algorithms. One of possibilities of control of such processes is their approximation by lower-order model with time-delay (dead time). The contribution is focused on a choice of a suitable experimental identification method and a suitable excitation input signals for an e...

Initiating flight is challenging, and considerable effort has focused on understanding the energetics and aerodynamics of take-off for both machines and animals. For animal flight, the available evidence suggests that birds maximize their initial flight velocity using leg thrust rather than wing flapping. The smallest birds, hummingbirds (Order Apodiformes), are unique in their ability to perfo...

In this paper, we give a smoothing approximation to the lower order exact penalty functions for inequality-constrained optimization problems. Error estimations are obtained among the optimal objective function values of the smoothed penalty problem, of the nonsmooth penalty problem and of the original optimization problem. An algorithm based on the smoothed penalty function is presented, which ...