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This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions.
Medical imaging is an important and rapidly expanding area in medical science. Many of the methods employed are essentially digital, for example computerized tomography, and the subject has become increasingly influenced by develop ments in both mathematics and computer science. The mathematical problems have been the concern of a relatively small group of scientists, consisting mainly of applied mathematicians and theoretical physicists. Their efforts have led to workable algorithms for most imaging modalities. However, neither the fundamentals, nor the limitations and disadvantages of these algorithms are known to a sufficient degree to the physicists, engineers and physicians trying to im...
The objective of this publication is to highlight the extensive range and profundity of research across these intimately connected disciplines. The intersection of Mathematics and Computer Science continues to be a dynamic area of exploration, witnessing remarkable progress and innovation over recent years. In an era dominated by technological breakthroughs and an ever-growing reliance on data-centric methodologies, researchers within these domains are relentlessly pursuing novel theories, algorithms, and models aimed at addressing some of the most challenging and pertinent issues of our contemporary society. This publication stands as a tribute to their unwavering commitment and scholarly rigor.
This book is a platform to publish new progress in the field of materials and technologies that can offer significant developments with the possibility of changing the future. These emerging developments will change the way we live now at an unprecedented pace across our society. It is important to note that such modern developments are no longer restricted to a single discipline, but are the outcome of a multidisciplinary approach, which combines many different engineering disciplines. This book explores the new technology landscape that will have the direct impact on production-related sectors, individually and in combination with different disciplines. A major driver for this actual research is the efficiency, many times connected with a focus on environmental sustainability.
This book explores a dynamic landscape where cutting-edge technologies are revolutionizing various domains. This captivating book delves into the advancements in security, communication, and environmental management, highlighting their profound impact on society. The developments bridge the gap between human needs and technological innovation. Readers will uncover the fascinating world of IoT-driven devices that seamlessly integrate into our lives, ensuring enhanced safety and communication efficiency. This book is a must-read for technology enthusiasts, researchers, and anyone curious about the transformative power of technology in shaping our present and future.
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