researcher project had not been possible. Therefore I thank the following persons: Finally, I would like to thank the colleagues both in Nijmegen and Bonn. The former allowed me to go for a while, while leaving some uncompleted tasks behind, the latter warmly welcomed me in Bonn. I particularly liked the MPP seminars, football in the park on Wednesdays or Thurs-days, the World Cup matches of 'D...

We study algebras k[x1, ..., xn]/I which admit a grading by a subsemigroup of N such that every graded component is a one-dimensional k-vector space. V.I. Arnold and coworkers proved that for d = 1 and n ≤ 3 there are only finitely many isomorphism types of such A-graded algebras, and in these cases I is an initial ideal (in the sense of Gröbner bases) of a toric ideal. In this paper it is show...

The largest growth rate of technology requires a new method of storing and transmitting data or/and information. These methods may guarantee an important ratio of security and storage. So it is necessary to compress and encrypt data (image, text, register) before its transmission or archiving. In this context, this work presents an enhanced scheme which combines between compression and encrypti...

Decades of experimental studies are available on disparity selective cells in visual cortex of macaque and cat. Recently, local disparity map for iso-orientation sites for near-vertical edge preference is reported in area 18 of cat visual cortex. No experiment is yet reported on complete disparity map in V1. Disparity map for layer IV in V1 can provide insight into how disparity selective compl...

In this paper we answer certain questions posed by V.I. Arnold, namely, we study periods of continued fractions for solutions of quadratic equations in the form x + px = q with integer p and q, p + q ≤ R. Our results concern the average sum of period elements and Gauss–Kuzmin statistics as R → ∞.

The biblical book of Ecclesiastes is often claimed as a harbinger of modernity. In this essay, I compare Ecclesiastes with two overlapping constructions of modernity, taken from Matthew Arnold and Charles Taylor, focusing especially on Taylor’s motifs of inwardness, narrativity, meaninglessness, and ordinary life. I suggest that the likeness to modernity in Ecclesiastes is a complex bundle of e...

A. Piqué, R.C.Y.Auyeung, M.W. Nurnberger, D.J. Wendland, C.B. Arnold, A.R. Abbott and L.C. Schuette 1 Materials Science and Technology Division, Naval Research Laboratory, Washington, DC, USA 2 Naval Center for Space Technology, Naval Research Laboratory, Washington, DC, USA 3 ITT Industries, Alexandria, VA 22303, USA 4 Department of Mechanical and Aerospace Engineering, Princeton University, P...

We crosslink hemoglobin (Hb), superoxide dismutase (SOD), catalase (CAT), and carbonic anhydrase (CA) to form a soluble polyHb-SOD-CAT-CA nanobiotechnological complex. The obtained product is a soluble complex with three enhanced red blood cell (RBC) functions and without blood group antigens. In the present study, 2/3 of blood volume was removed to result in 90-min hemorrhagic shock at mean ar...

We discuss some recent results concerning the decoherence in controlled quantum open systems within the mathematical setting corresponding to motion reversal experiments (the Loschmidt echo). We compare the case of randomly chosen sequence of unitary dynamical maps with the case of a constant dynamics corresponding to a classically chaotic evolution. The interplay between chaos and decoherence ...