The present research tested the hypothesis that false recognition in confabulating patients results, at least in part, from sustained processing of irrelevant information about test items. Thus, we predicted that false recognition would be reduced if cognitive resources available for such a processing are experimentally reduced. Two experiments provided evidence consistent with this proposal. I...

Kumar described the Schubert classes which are the dual to the closures of the Bruhat cells in the flag varieties of the Kac-Moody groups associated to the infinite dimensional KacMoody algebras [17]. These classes are indexed by affine Weyl groups and can be chosen as elements of integral cohomologies of the homogeneous space L̂polGC/B̂ for any compact simply connected semisimple Lie groupG. Lat...

Let k be a perfect field, H a irreducible cocommutative Hopf k-algebra and P (H) the space of primitive elements of H, R a k-algebra on which acts locally finitely H and R#H the associated smash product. Assume that H is almost solvable with P (H) finite-dimensional n and the sequences of divided powers are all infinite. Then the Gelfand-Kirillov dimension of R#H is GK(R) + n.

An adaptive Divided Difference filter for joint estimation of parameters and states of a nonlinear system has been proposed in this work. The adaptive filter is proposed for improved estimation specifically in the situation when knowledge about the process noise statistics is unavailable. The innovation sequence has been employed for adaptation of the unknown process noise covariance. The evolv...

Some inequalities for the Stieltjes integral and applications in numerical integration are given. The Stieltjes integral is approximated by the product of the divided difference of the integrator and the Lebesgue integral of the integrand. Bounds on the approximation error are provided. Applications for the Fourier Sine and Cosine transforms on finite intervals are mentioned as well.