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Proofs and Ideas serves as a gentle introduction to advanced mathematics for students who previously have not had extensive exposure to proofs. It is intended to ease the student's transition from algorithmic mathematics to the world of mathematics that is built around proofs and concepts. The spirit of the book is that the basic tools of abstract mathematics are best developed in context and that creativity and imagination are at the core of mathematics. So, while the book has chapters on statements and sets and functions and induction, the bulk of the book focuses on core mathematical ideas and on developing intuition. Along with chapters on elementary combinatorics and beginning number theory, this book contains introductory chapters on real analysis, group theory, and graph theory that serve as gentle first exposures to their respective areas. The book contains hundreds of exercises, both routine and non-routine. This book has been used for a transition to advanced mathematics courses at California State University, Northridge, as well as for a general education course on mathematical reasoning at Krea University, India.
The first comprehensive coverage of this unique and interdisciplinary field provides a complete overview, covering such topics as chemoenzymatic synthesis, microbial production of DNA building blocks, asymmetric transformations by coupled enzymes and much more. By combining enzymatic and synthetic organic steps, the use of multi-enzyme complexes and other techniques opens the door to reactions hitherto unknown, making this monograph of great interest to biochemists, organic chemists, and chemists working with/on organometallics, as well as catalytic chemists, biotechnologists, and those working in the pharmaceutical and fine chemical industries.
This book constitutes the refereed proceedings of the 17th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-17, held in Bangalore, India, in December 2007. The 33 revised full papers presented together with 8 invited papers were carefully reviewed and selected from 61 submissions. Among the subjects addressed are block codes, including list-decoding algorithms; algebra and codes: rings, fields, algebraic geometry codes; algebra: rings and fields, polynomials, permutations, lattices; cryptography: cryptanalysis and complexity; computational algebra: algebraic algorithms and transforms; sequences and boolean functions.
Multiple antennas at both the transmitter and receiver ends of a wireless digital transmission channel may increase both data rate and reliability. Reliable high rate transmission over such channels can only be achieved through Space-Time coding. Rank and determinant code design criteria have been proposed to enhance diversity and coding gain. The special case of full-diversity criterion, requires that the difference of any two distinct codewords has full rank. Extensive work has been done on Space-Time coding, aiming to attain fully diverse codes with high rate. Division algebras have been proposed as a new tool for constructing Space-Time codes, since they are non-commutative algebras that...
This two-volume set, LNAI 9077 + 9078, constitutes the refereed proceedings of the 19th Pacific-Asia Conference on Advances in Knowledge Discovery and Data Mining, PAKDD 2015, held in Ho Chi Minh City, Vietnam, in May 2015. The proceedings contain 117 paper carefully reviewed and selected from 405 submissions. They have been organized in topical sections named: social networks and social media; classification; machine learning; applications; novel methods and algorithms; opinion mining and sentiment analysis; clustering; outlier and anomaly detection; mining uncertain and imprecise data; mining temporal and spatial data; feature extraction and selection; mining heterogeneous, high-dimensional and sequential data; entity resolution and topic-modeling; itemset and high-performance data mining; and recommendations.
The two LNCS volume set 9180-9181 constitutes the refereed proceedings of the 7th International Conference on Cross-Cultural Design, CCD 2015, held as part of the 17th International Conference on Human-Computer Interaction, HCII 2015, in Los Angeles, CA, USA in August 2015, jointly with 15 other thematically similar conferences. The total of 1462 papers and 246 posters presented at the HCII 2015 conferences were carefully reviewed and selected from 4843 submissions. These papers of the two volume set address as follows: LNCS 9180, Cross-Cultural Design: Methods, Practice and Impact (Part I), addressing the following major topics: cross-cultural product design, cross-cultural design methods and case studies, design, innovation, social development and sustainability and LNCS 9181, Cross-Cultural Design: Applications in Mobile Interaction, Education, Health, Transport and Cultural Heritage (Part II), addressing the following major topics: cultural aspects of social media and mobile services, culture for transport and travel, culture for design and design for culture and culture for health, learning and games.
Large amounts of data obtained through environmental monitoring of persistent organic pollutants (POPs) in 10 Asian countries and Australia have been compiled and explored using principles of environmental chemistry, toxicology, and risk assessment. This book also includes descriptions and discussions of current governmental policies, monitoring and surveillance programs, history of manufacturing and applications, emission sources, impacts on human health, and cross-boundary transport of POPs in these countries.* Compiles up-to-date sources, distributions, transport, and fates of highly concerned persistent organic pollutants (POPs) * Presents exploratory examinations of the data guided by the principles of environmental chemistry, toxicology, and risk assessment * Includes important context and insight regarding government policies, monitoring and surveillance programs, history of manufacturing and applications, emission sources, impact on human health, and cross-boundary transport of POPs
Electrochemical capacitors are most important for the development of future energy storage systems and sustainable power sources. New superior hybrid supercapacitors are based on binary and ternary thin film nanocomposites involving carbon, metal oxides and polymeric materials. The synthesis of materials and fabrication of electrodes for supercapacitor applications is discussed in detail. The book also presents the fundamental theory and a thorough literature review of supercapacitors. Energy Storage, Electrochemical Capacitors, Nanocomposites, Hybrid Supercapacitors, Carbon/Metal Oxide Composites, Metal Oxides/Hydroxides Composites, Polymer Type Capacitors, Nanoscience, Hydrothermal Synthesis, Graphene-based Composites, Ultrasonic Assisted Synthesis
Ideal for statisticians, this book will also interest probabilists, mathematicians, computer scientists, and morphometricians with mathematical training. It presents a systematic introduction to a general nonparametric theory of statistics on manifolds, with emphasis on manifolds of shapes. The theory has important applications in medical diagnostics, image analysis and machine vision.
Rare, unique and irreplaceable – precious native rainforests occupy a precariously small part of Australia while retaining a remarkable level of both biological and chemical diversity unrivalled by any other ecosystem. Australia's ancient history and traditions are intimately intertwined with the rainforest plants that humans have utilised as both food and medicine. Phytochemistry of Australia's Tropical Rainforest is a record of this history and details how our understanding of these plants has led to the discovery of anaesthetics, analgesics, steroids, antimalarials and more. It provides an insight into the habitat, ecology and family associations of hundreds of species and explores their future therapeutic potential, alongside phytochemical studies of the ancient plant lineages. Toxicological evaluations of important poisonous plants are also included. Rainforests provide shelter for unique flora and fauna that are counted among the rarest species on Earth, many of which are illustrated in this book. This comprehensive work is an essential reference for phytochemists, ethnobotanists and those with an interest in rainforests and their medicinal and botanical potential.