How and to what extent will new activities spread through social ties? Here, we develop a more sophisticated framework than the standard mean-field approach describe diffusion dynamics of multiple on complex networks. We show that follows saddle path can be highly unstable. In particular, when two are sufficiently substitutable, either them would dominate other by chance even if they equally at...

multiplanar or global laxity in arthritic knee is rare , most of this patients have neuromuscular disorder (post poliomyelitis , spinal dystrophy) or history of knee trauma. ligament insufficiency and severe bone loss is significant in this patient. the estimated prevalence for the concurrence of charcot marie-tooth (cmt) with myasthenia gravis (mg) suggests an extremely rare event. we have pre...

In this paper, we examine the divide between stable and unstable first-order theories in model theory. We begin by defining a stable theory and proving Shelah’s theorem, which reduces the question of stability to a problem of examining a single formula. Afterwards, we will provide some applications of the stability/instability divide to other model-theoretic questions, such as the question of c...

We study the behavior of several organizations for a market based distributed control of unstable physical systems and show how a hierarchical organization is a reasonable compromise between rapid local responses with simple communication and the use of global knowledge. We also introduce a new control organization, the multihierarchy, and show that it uses less power than a hierarchy in achiev...

In the 1980's, remarkable advances were made by Ravenel, Hopkins, Devinatz, and Smith toward a global understanding of stable homotopy theory, showing that some major features arise "chromatically" from an interplay of periodic phenomena arranged in a hierarchy (see [20], [21], [28]). We would like very much to achieve a similar understanding in unstable homotopy theory and shall describe some ...

T he establishment of a prognosis and the approach to the treatment of many diseases is aided greatly by a logical classification. For example, classification of a wide variety of neoplasms by anatomic extent, microscopic appearance, and the presence of special markers now forms the basis for selecting appropriate therapy. In cardiology, the classification of patients with acute myocardial infa...

Unstable angina. A classification. Print ISSN: 0009-7322. Online ISSN: 1524-4539 Copyright © 1989 American Heart Association, Inc. All rights reserved. is published by the American Heart Association, 7272 Greenville Avenue, Dallas, TX 75231 Circulation doi: 10.1161/01.CIR.80.2.41

The paper addresses dynamic and control issues related to a dynamical model called the classical shimmying wheel. The classical shimmying wheel models the rolling dynamics of many physical rolling systems such as aircraft nose wheels, motorcycles, automotive systems and tractor{ trailer systems. Such system can exhibit undesirable unstable rolling motion, i.e. shimmying, which can often lead to...

This article refers to the International Classification of Diseases 10th edition (ICD-10) which is the official classification system for mental health professionals working in NHS clinical practice. The literature occasionally refers to the Diagnostic and Statistical Manual of Mental Disorders (DSM) classification system which whilst used in clinical practice in the USA is primarily used for r...