AK Ayton MD, MSC, MRCPsych (Corresponding author) Hull and East Riding Community Health NHS Trust, Child and Adolescent Service, 2062-68 Hessle Rd, Hessle. East Yorkshire, HU13 9NW E-mail: [email protected] A Azaz MBBch, DCH, MRCP, MRCPCH Hull Royal Infirmary, Department of Paediatrics, Anlaby Rd, Hull HU3 2JZ DF Horrobin MA, DPhil, BM, BCh Laxdale Research, Kings Park House, Laurelhill Busi...

Department of Ecology, Evolution, and Organismal Biology, and Department of Statistics, Iowa State University, Ames, IA 50011 USA Anatomical and Human Sciences, Hull York Medical School, The University of York, York Y010 5DD, UK Museo di Paleobiologia e dell’Orto Botanico, Universitá di Modena e Reggio Emilia, via Università 4, 41100, Modena, Italy Department of Biological Sciences, The Univers...

Given two quasi-Banach ideals A and B we investigate the regular hull of their composition (A ◦ B). In concrete situations this regular hull appears more often than the composition itself. As a first example we obtain a description for the regular hull of the nuclear operators which is a ”reflected” Grothendieck representation: N reg 1 = I ◦W (theorem 2.1). Further we recognize that the class o...

If the condom doesn't fit, you must resize it Michael Cecil⁎, Anita L. Nelson, James Trussell, Robert Hatcher TheyFit Covington, GA 30014, USA David Geffen School of Medicine at UCLA, Torrance, CA 90502-2910, USA Office of Population Research, Princeton University, Princeton, NJ 08540, USA The Hull York Medical School, University of Hull, Hull HU6 7RX, England Emory University School of Medicin...

In this paper we will extend two known location problems from Euclidean n-space to all n-dimensional normed spaces, n¿ 2. Let X be a "nite set of weighted points whose a2ne hull is n-dimensional. Our "rst objective is to "nd a hyperplane minimizing (among all hyperplanes) the sum of weighted distances with respect to X. Such a hyperplane is called a median hyperplane with respect to X, and we w...

In this paper, the behavior of the pseudopolynomial numerical hull of a square complex matrix with respect to structured perturbations and its radius is investigated.

Classic convexity can be extended to graphs in a natural way by considering shortest paths, also called geodesics: a set S of vertices of a graph is convex if it contains all the vertices lying in some geodesic with endpoints in S and the convex hull of a set S of vertices is the minimum convex set containing S. Farber and Jamison [9] characterized the graphs such that every convex set is the c...

Consider a set of d-dimensional points where the existence or the location of each point is determined by a probability distribution. The convex hull of this set is a random variable distributed over exponentially many choices. We are interested in finding the most likely convex hull, namely, the one with the maximum probability of occurrence. We investigate this problem under two natural model...

We consider the problem of reporting convex hull points in an orthogonal range query in two dimensions. Formally, let P be a set of n points in R. A point lies on the convex hull of a point set S if it lies on the boundary of the minimum convex polygon formed by S. In this paper, we are interested in finding the points that lie on the boundary of the convex hull of the points in P that also fal...