N-body simulations of collisionless collapse have offered important clues to the construction of realistic stellar dynamical models of elliptical galaxies. Such simulations confirm and quantify the qualitative expectation that rapid collapse of a self-gravitating collisionless system, initially cool and significantly far from equilibrium, leads to incomplete relaxation, that is to a quasi-equil...

The analysis of trauma to the skeleton is an important aspect of forensic case work, but most major pathology references devote limited attention to this topic. The aim of this paper is to analyze bevelling in exit gunshot wounds from a series of 14 cases with 17 exit wounds. Assessment of bevelling was made by measuring the endocranial and ectrocranial size of the wound, locating the most pron...

The magnetoresistance of a one-dimensional electron gas in a metallic ferromagnetic nanowire containing two atomic-size domain walls has been investigated in the presence of spin-orbit interaction. The magnetoresistance is calculated in the ballistic regime, within the Landauer-Büttiker formalism. It has been demonstrated that the conductance of a magnetic nanowire with double domain walls...

The 13 th edition of History of On-Orbit Satellite Fragmentations, JSC-62530, has recently been published. This document details the 173 known breakups and 43 anomalous events of on-orbit objects from the first known breakup in June 1961 through 31 December 2003. This edition of the document discusses low Earth orbit and geosynchronous orbit spatial density, in-orbit and decayed object analysis...

I review the arguments for the importance of halo structure in driving galaxy evolution and coupling a galaxy to its environment. We begin with a general discussion of the key dynamics and examples of structure dominated by modes. We find that simulations with large numbers of particles (N ∼> 10 ) are required to resolve the dynamics. Finally, I will describe some new results which demonstrates...

Given a compact convex plane domain P , one defines the dual billiard transformation F of its exterior as follows. Let x be a point outside of P . There are two support lines to P through x; choose one of them, say, the right one from x’s view-point, and define F (x) to be the reflection of x in the support point. This definition applies if the support point is unique; otherwise F (x) is not de...

Throughout this paper, let k be a field of characteristic 2. Let G be a classical group over k and g be its Lie algebra. Let g be the dual vector space of g. Fix a Borel subgroup B and a maximal torus T ⊂ B of G. Let B = TU be the Levi decomposition of B. Let b, t and n be the Lie algebra of B, T and U respectively. We have a natural action of G on g, g.ξ(x) = ξ(Ad(g)x) for g ∈ G, ξ ∈ g and x ∈...

Bars in galaxies are mainly supported by particles trapped around stable periodic orbits. These orbits represent oscillatory motion with only one frequency, which is the bar driving frequency, and miss free oscillations. We show that a similar situation takes place in double bars: particles get trapped around parent orbits, which in this case represent oscillatory motion with two frequencies of...

In this paper we construct a holomorphic polynomial first order differential representation of the Lie algebra which is the semidirect sum hn o sp(2n,R), on the manifold Cn × Dn, different from the extended metaplectic representation [6]. The case n = 1 corresponding to the Lie algebra h1 o su(1, 1) was considered in [3]. The natural framework of such an approach is furnished by the so called c...

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