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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...
A generalized hybrid distance measure of a single value neutrosophic set (SVNS) is proposed to analyze the patient’s factors and diseases. Since Neutrosophic Set (NS) may communicate contradictory and ambiguous information, it is a crucial and useful tool for modelling uncertainty information. A distance measure for NS information is a key tool that is always employed in many approaches including medical diagnostics. Several distance measures in NS can be found in the literature, however, only a few of them proposed hybrid techniques. This paper aims to develop a new distance measure by considering exponential function and to define new hybrid distance measures for NS. The work also includes the formulation of the properties and application in the medical diagnosis for the validity phase. This study examines the possibility of cardiac problems in pregnant women. The eight factors considered in this study are age, obesity, smoking, family pathological history, personal pathological history, electrocardiogram, ultrasound, and functional class. The generalized hybrid distance measure has been used to discuss the factors of six different diseases, present consistent results.
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.
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation
Zusammenfassung: This is an open access book. It is my great pleasure to introduce the Proceedings of the International Conference on Governance, Management, Social Sciences, Education and Innovation (ICGMSI2023). The event was held at UST Angelicum College, Manila, Philippines on 20th - 21st September 2023. The conference convenes researchers, scientists, academics, and practitioners from various nations to facilitate conversations and debates on pertinent problems, opportunities, challenges, and research discoveries. It is one of its significant and valuable features. Building worldwide relationships and offering participants a fantastic venue to share and exchange outstanding original res...
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