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An Introduction to Kolmogorov Complexity and Its Applications

by Ming Li Paul M. B. Vitányi

"The book is outstanding and admirable in many respects. ... is necessary reading for all kinds of readers from undergraduate students to top authorities in the field." Journal of Symbolic Logic Written by two experts in the field, this is the only comprehensive and unified treatment of the central ideas and applications of Kolmogorov complexity. The book presents a thorough treatment of the subject with a wide range of illustrative applications. Such applications include the randomness of finite objects or infinite sequences, Martin-Loef tests for randomness, information theory, computational learning theory, the complexity of algorithms, and the thermodynamics of computing. It will be ideal for advanced undergraduate students, graduate students, and researchers in computer science, mathematics, cognitive sciences, philosophy, artificial intelligence, statistics, and physics. The book is self-contained in that it contains the basic requirements from mathematics and computer science. Included are also numerous problem sets, comments, source references, and hints to solutions of problems. New topics in this edition include Omega numbers, Kolmogorov-Loveland randomness, universal learning, communication complexity, Kolmogorov's random graphs, time-limited universal distribution, Shannon information and others.

Multihop Wireless Networks

by Ming Li Kai Zeng Wenjing Lou

This book provides an introduction to opportunistic routing an emerging technology designed to improve the packet forwarding reliability, network capacity and energy efficiency of multihop wireless networksThis book presents a comprehensive background to the technological challenges lying behind opportunistic routing. The authors cover many fundamental research issues for this new concept, including the basic principles, performance limit and performance improvement of opportunistic routing compared to traditional routing, energy efficiency and distributed opportunistic routing protocol design, geographic opportunistic routing, opportunistic broadcasting, and security issues associated with opportunistic routing, etc. Furthermore, the authors discuss technologies such as multi-rate, multi-channel, multi-radio wireless communications, energy detection, channel measurement, etc. The book brings together all the new results on this topic in a systematic, coherent and unified presentation and provides a much needed comprehensive introduction to this topic.Key Features:Addresses opportunistic routing, an emerging technology designed to improve the packet forwarding reliability, network capacity and energy efficiency of multihop wireless networksDiscusses the technological challenges lying behind this new technology, and covers a wide range of practical implementation issuesExplores many fundamental research issues for this new concept, including the basic principles of opportunistic routing, performance limits and performance improvement, and compares them to traditional routing (e.g. energy efficiency and distributed opportunistic routing protocol design, broadcasting, and security issues)Covers technologies such as multi-rate, multi-channel, multi-radio wireless communications, energy detection, channel measurement, etc.This book provides an invaluable reference for researchers working in the field of wireless networks and wireless communications, and Wireless professionals. Graduate students will also find this book of interest.

Spectrum Trading in Multi-Hop Cognitive Radio Networks

by Ming Li Miao Pan Pan Li Yuguang Fang

This SpringerBrief focuses on spectrum trading designs in multi-hop cognitive radio networks. It starts with the motivation for spectrum trading and the review of existing spectrum trading designs. Then, it presents a novel CRN architecture for spectrum trading considering spectrum trading's economic features and wireless nature. Under this network architecture, it extends current single-hop per-user based spectrum trading design into a multi-hop transmission opportunity based one, and further into a session based one, while having economic properties guaranteed. This SpringerBrief not only provides a good review of current spectrum trading designs, it also touches on the cutting-edge interdisciplinary spectrum trading research on disparate fields of modeling, network architecture design, optimization theories, statistics, and economic theories. Advanced-level students studying computer science, electrical and computer engineering and economics, wireless network planners, and wireless spectrum engineers will find this book a useful tool.

T-type Calcium Channels in Basic and Clinical Science

by Ming Li Stephen W. Schaffer

T-type calcium channels are prevalent in every organ of the body, and are believed to play a part in a variety of physiological processes, including contraction, shape change, secretion, endo- and exocytosis, cell proliferation and differentiation, modulation of enzyme function, and cell cycle progression. As such, research on the roles of these channels in a wide range of diseases has attracted increasing attention in recent years. The purpose of this book is to present a series of unique and comprehensive reviews of our current understanding of T-type calcium channels at the level of the basic sciences as well as the clinical sciences. For key organ systems, information is provided on the correlation between the molecular, biophysical and pharmacological properties of the channels, their cellular mechanisms, and their potential roles in the pathogenesis of various diseases. The compilation presents both commonplace and less well-known findings on these channels in a format designed to appeal to both casual readers and specialists in basic and clinical research on these transporters.

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