∙ A function is a rule that assigns to each objects in a set A exactly one object in a set B. The set A is called the domain of the function. The set of assigned abjects in B is called the range. ∙ (Domain Convention) If a formula (or several formulas) is used to define a function f , then we assume that the domain of f to be the set of all numbers for which f(x) is defined. ∙ A demand function...

abraham ungar is professor in the department of mathematics at north dakota state university. after gaining his b.sc. (1965) and m.sc. (1967) from the hebrew university in pure mathematics and ph.d. (1973) from tel-aviv university in applied mathematics, he held a postdoctoral position at the university of toronto (1974). ungar moved from toronto to pretoria where he held the position of a seni...

Last time, we introduced the task of hierarchical clustering, in which we aim to produce nested clusterings that reflect the similarity between clusters. This contrasts sharply with our former discussion of “flat” or structureless clustering methods like k-means which do not model relationships between clusters. In this lecture, we will continue our discussion of the standard model-free approac...

Dr Toby Smith – University Lecturer – School of Health Sciences, Faculty of Medicine and Health Sciences, University of East Anglia, Norwich – email: [email protected] Florence Penny BSc – Staff Grade Physiotherapist, Physiotherapy Department, St. Bartholomew's Hospital, London. – email: [email protected] Dr Robert Fleetcroft – Clinical Lecturer in General Practice, Norwich Medical Sch...

Bruce M. Biccard1,2,3 1Honorary Lecturer, Nelson R Mandela School of Medicine, Private Bag 7, Congella, 4013, South Africa. 2Honorary Senior Clinical Lecturer, Nuffield Department of Anaesthetics, University of Oxford, John Radcliffe Hospital, Headley Way, Headington, Oxford, OX3 9DU, United Kingdom. 3Principal Specialist, Inkosi Albert Luthuli Central Hospital, 800 Bellair Road, Mayville, 4091...

THE JOURNAL OF BONE AND JOINT SURGERY C. M. Gupte, MRCS, Research Fellow A. Smith, FRCS, Research Fellow I. D. McDermott, FRCS, Research Fellow A. M. J. Bull, PhD, Lecturer R. D. Thomas, FRCS Ed, Honorary Senior Lecturer A. A. Amis, DSc, Professor of Orthopaedic Biomechanics Departments of Mechanical Engineering, Musculoskeletal Surgery and Bioengineering, Imperial College, Exhibition Road, Lon...