in this paper, we investigate the existence of infinitely many solutions for a bi-nonlocal equation with sign-changing weight functions. we use some natural constraints and the ljusternik-schnirelman critical point theory on c1-manifolds, to prove our main results.

The function in question is H(x) = ∑∞ k=1 sin(x/k)/k. In deference to the general theme of this conference, a summation procedure is first described using orthogonal polynomials and polynomial/rational Gauss quadrature. Its effectiveness is limited to relatively small (positive) values of x. Direct summation with acceleration is shown to be more powerful for very large values of x. Such values ...

Executive Summary Information and Communication Technology is the driving force in the information intensive global society. Information Technology (IT) professionals with skills and capabilities required by the IT industry are scarce. Industry and policy makers see education institutions as the vehicle to produce skilled IT professionals to bridge the gap between the changing technology and in...

In this paper, we suggest that cortical anatomy recapitulates the temporal hierarchy that is inherent in the dynamics of environmental states. Many aspects of brain function can be understood in terms of a hierarchy of temporal scales at which representations of the environment evolve. The lowest level of this hierarchy corresponds to fast fluctuations associated with sensory processing, wherea...

We provide the first evidence that stochastic resonance within the human brain can enhance behavioral responses to weak sensory inputs. We asked subjects to adjust handgrip force to a slowly changing, subthreshold gray level signal presented to their right eye. Behavioral responses were optimized by presenting randomly changing gray levels separately to the left eye. The results indicate that o...

Cheating is a key issue in multiplayer games as it causes unfairness which reduces legitimate users’ satisfaction and is thus detrimental to game revenue. Many commercial solutions prevent cheats by reacting to specific implementations of cheats. As a result, they respond more slowly to fast-changing cheat techniques. This work proposes a framework using Event-B to describe and detect cheats fr...

Introduction: The commercial 252Cf sources are too large in size and clinical applications of neutron brachytherapy (NBT) are limited to a small number of intracavitary treatments of cervical cancers. Recently, under the Cooperative Research and Development Agreement (CRADA) with Isotron Inc., the Oak Ridge National Laboratory (ORNL) encapsulated a new medical 252Cf sources, c...