Homicides involving knives and other sharp objects in Scotland, 1981–2003

Blueprints , Swiss Army knives , and other metaphors

combat battle. Moreover, it is often delayed in its onset. These observations have led McGaugh and other neuroscientists to speculate that perhaps a post-trauma drug could be given to trauma victims that would block the action of stress hormones, which might attenuate (or even prevent) the development of PTSD. Early work reveals the promise in this original idea. As a result, ethical issues hav...

Some Sharp Inequalities Involving Seiffert and Other Means and Their Concise Proofs

In the paper, by establishing the monotonicity of some functions involving the sine and cosine functions, the authors provide a unified and concise proof of some known inequalities and find some new sharp inequalities involving the Seiffert, contra-harmonic, centroidal, arithmetic, geometric, harmonic, and root-square means of two positive real numbers a and b with a = b . Mathematics subject c...

Weiss Knives

Frictional Collisions Off Sharp Objects

This work develops robust contact algorithms capable of dealing with multibody nonsmooth contact geometries for which neither normals nor gap functions can be defined. Such situations arise in the early stage of fragmentation when a number of angular fragments undergo complex collision sequences before eventually scattering. Such situations precludes the application of most contact algorithms p...

Sharp Sobolev inequalities involving boundary terms

Let (M, g) be a compact Riemannian manifold of dimension n (n ≥ 3) with smooth boundary. In [LZ], we established some sharp trace inequality on (M, g). In this paper we establish some sharp Sobolev inequalities using the method in [LZ]. For n ≥ 3, it was shown by Aubin [Au1] and Talenti [T] that, for p = 2n/(n − 2), 1 S 1 = inf R n |∇u| 2 R n |u| p 2/p u ∈ L p (R n) \ {0}, ∇u ∈ L 2 (R n) , (0.1...