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Mathematics and Computer Science in Medical Imaging
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 Digital Collection of Extended Abstracts from Research Exhibition in Mathematics and Computer Sciences (REMACS 6.0)
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.
Mathematics for Computer Science
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.
Research Exhibition in Mathematics and Computer Sciences (REMACS 5.0)
The abstracts in this book cover a wide range of topics, including algebra, analysis, logic, computer architecture, algorithms, artificial intelligence, machine learning, computer network, netcentric computing and many more. The work presented here is both theoretical and practical, and has the potential to impact many areas of society, from finance and healthcare to education and security.
