MS36.26.5 Acta Cryst. (2005). A61, C51 Structure-based Vaccine Design of Human Rhinovirus: HIV Chimeras as Candidate AIDS Vaccines Eddy Arnold, Yulia V. Frenkel, Deena A. Oren, Scott A. Hughes, Denise A. Elsasser, Arthur D. Clark Jr., Paola A. Velasco, Jianping Ding, Gail Ferstandig Arnold. Center for Advanced Biotechnology and Medicine, and Department of Chemistry and Chemical Biology, Rutgers...

The structure of human rhinovirus 14 has been refined, by the method of restrained least squares, to an R factor of 0.16 for various random samples between 6 and 3 A, resolution with F > 3o-(F). As a first step the non-crystal lographic symmetry parameters were optimized using the initial atomic model * Present address: Center for Advanced Biotechnology and Medicine (CABM) and Department of Che...

We give an example of a measurable set E ⊆ R such that the set E ′ = {(x, y) : x + y ∈ E} is not in the σ-algebra generated by the rectangles with measurable sides. We also prove a stronger result that there exists an analytic (Σ1) set E such that E ′ is not in the σ-algebra generated by rectangles whose horizontal side is measurable and vertical side is arbitrary. The same results are true whe...

The goal of this paper is to present to non-specialists what is perhaps the simple possible geometrical picture explaining the mechanism of Arnold diffusion. We choose to speak of a specific model – that of geometric rays in a periodic optical medium. This model is equivalent to that of a particle in a periodic potential in R with energy prescribed and to the geodesic flow in a Riemannian metri...

Vladimir Arnold, an eminent mathematician of our time, passed away on June 3, 2010, nine days before his seventy-third birthday. This article, along with one in the next issue of the Notices, touches on his outstanding personality and his great contribution to mathematics. A word about spelling: we use “Arnold”, as opposed to “Arnol’d”; the latter is closer to theRussian pronunciation, but Vlad...

A famous phenomenon in circle-maps and synchronisation problems leads to a two-parameter bifurcation diagram commonly referred to as the Arnold tongue scenario. One considers a perturbation of a rigid rotation of a circle, or a system of coupled oscillators. In both cases we have two natural parameters, the coupling strength and a detuning parameter that controls the rotation number/frequency r...

We consider the approximation properties of finite element spaces on quadrilateral meshes. The finite element spaces are constructed starting with a given finite dimensional space of functions on a square reference element, which is then transformed to a space of functions on each convex quadrilateral element via a bilinear isomorphism of the square onto the element. It is known that for affine...

Vladimir Arnold, an eminent mathematician of our time, passed away on June 3, 2010, nine days before his seventy-third birthday. This article, along with one in the next issue of the Notices, touches on his outstanding personality and his great contribution to mathematics. A word about spelling: we use “Arnold”, as opposed to “Arnol’d”; the latter is closer to theRussian pronunciation, but Vlad...

1. Dima Arnold in my life, by Dmitry Fuchs Unfortunately, I have never been Arnold’s student, although as a mathematician, I owe him a lot. He was just two years older than I, and according to the University records, the time distance between us was still less: when I was admitted to the Moscow State University as a freshman, he was a sophomore. We knew each other, but did not communicate much....