Computational Number Theory and Digital Signal Processing Fast Algorithms and Error Control Techniques

Design of fast computationally efficient algorithms has been a major force of research activity in digital signal processing. Number theory plays a fundamental role in the design of fast algorithms for performing some of the most computationally intensive tasks arising in digital signal processing. This text uses number theory to find the answers to many of the underlying questions that surround the behaviour of polynomial algebra over finite integer rings and their complex extensions. It presents the traditional Chinese remainder theorem as well as the classical factorization method known as the Hensel's theorem.

Military service involves exposure to multiple sources of chronic, acute, and potentially traumatic stress, especially during deployment and combat. Notoriously variable, the effects of stress can be subtle to severe, immediate or delayed, impairing individual and group readiness, operational performance, and—ultimately—survival. A comprehensive compilation on the state of the science, Biobehavioral Resilience to Stress identifies key factors and characteristics that are essential to a scientifically useful and behaviorally predictive understanding of resilience to stress. Contributions from Uniquely Qualified Military and Civilian Experts Initiated by the Military Operational Medicine Research Directorate of the US Army Medical Research and Material Command (USAMRMC), this seminal volume integrates recent research and experience from military and civilian experts in behavioral and social sciences, human performance, and physiology. Each chapter is grounded in vigorous research with emphasis on relevance to a variety of real-world operations and settings, including extreme environments encountered in modern war. Logical Progression, Cross-Disciplinary Appeal Organized into four sections, the text begins with a discussion of the relevant aspects of stress in the context of military life to offer civilian readers a window into contemporary military priorities. Later chapters consider biological, physiological, and genetic factors, psychosocial aspects of resilience, and “community capacity” variables that influence psychological responses to stressful events. This multidisciplinary effort concludes with an overview of emergent themes and related issues to advance the science of resilience toward predictive research, theory, and application for all those—military and civilian—who serve in the national defense.

STRESS AND RESILIENCE IN MILITARY LIFE Psychological Screening: Predicting Resilience to Stress, H.N. Garb and J. Cigrang Resilience and Military Psychiatry, E.C. Ritchie, B. Schneider, R.Forsten, and J. Bradley The Stresses of Modern War, G.R. Mastroianni, T.R. Mabry, D.M. Benedek, and R.J. Ursano Resilience through Leadership, D. Campbell, K. Campbell, and J.W. Ness PHYSIOLOGY OF STRESS AND RESILIENCE Adaptation to Stress and Psychobiological Mechanisms of Resilience, S.M. Southwick, F. Ozbay, D.Charney, and Bruce S. McEwen Psychophysiology of Resilience to Stress,C. Waugh, M. Tugade, and B. Fredrickson Resilience and Survival in Extreme Environments,K.E. Friedl and D.M. Penetar Posttraumatic Stress Disorder: Genetic and Environmental Risk Factors,D.G. Baker, V.B. Risbrough, and N.J. Schork  PSYCHOSOCIAL ASPECTS OF RESILIENCE Resilience and Personality, M. Westphal, G.A. Bonanno, and P. Bartone Cognitive Performance and Resilience to Stress,M.A. Staal, A.E. Bolton, R.A. Yaroush, and L.E. Bourne, Jr. The Impact of Social Structural Conditions on Psychological Resilience to Stress, D.E. Rohall and J.A. Martin RESILIENCE AS AN EMPIRICAL AND OPERATIONAL PRIORITY Resilience: Toward the State of the Possible,V. Tepe and B. Lukey Index