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Starting from simple generalizations of factorials and binomial coefficients, this book gives a friendly and accessible introduction to q q-analysis, a subject consisting primarily of identities between certain kinds of series and products. Many applications of these identities to combinatorics and number theory are developed in detail. There are numerous exercises to help students appreciate the beauty and power of the ideas, and the history of the subject is kept consistently in view. The book has few prerequisites beyond calculus. It is well suited to a capstone course, or for self-study in combinatorics or classical analysis. Ph.D. students and research mathematicians will also find it useful as a reference.
An Evolving Knowledge Base (EKB) is capable of self evolution by means of its internally specified behaviour. In this thesis the author incrementally specifies, semantically characterizes and illustrates with examples, the concepts and tools necessary to the development of EKBs.
The advancement of large scale integrated circuit technology has enabled the construction of complex interconnection networks. Graph theory provides a fundamental tool for designing and analyzing such networks. Graph Theory and Interconnection Networks provides a thorough understanding of these interrelated topics. After a brief introduction to gra
Smart cities with various technological innovations have played an important role and influenced society as well. Due to voluminous data transactions within smart cities, security and privacy concerns need to be dealt with. Though taking care of safety and privacy is challenging, it is essential for a smart city to understand the bio-inspired computing paradigms. This book discusses the utilization of bio-inspired computing procedures for effective computational devices. • Discusses real-world usage of bio-inspired computations • Highlights how bio-inspired computations hold the potential to significantly increase network security and privacy • Talks about how society can avoid consequences of cyber security breaches • Examines the combination of bio-inspired computational methods with IoT, AI and big data This book is primarily aimed at graduates, researchers, IT and industry professionals.
The World malaria report 2014 summarizes information received from 97 malaria endemic countries and other sources and updates the analyses presented in 2013. It assesses global and regional malaria trends highlights progress made towards global targets and describes opportunities and challenges in controlling and eliminating the disease. Most of the data presented in this report are for 2013.
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This book describes the latest advances in intelligent techniques such as fuzzy logic, neural networks, and optimization algorithms, and their relevance in building intelligent information systems in combination with applied mathematics. The authors also outline the applications of these systems in areas like intelligent control and robotics, pattern recognition, medical diagnosis, time series prediction, and optimization of complex problems. By sharing fresh ideas and identifying new targets/problems it offers young researchers and students new directions for their future research. The book is intended for readers from mathematics and computer science, in particular professors and students working on theory and applications of intelligent systems for real-world applications.
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