Because the theory of equations with delay terms occurs in a variety of contexts, it is important to provide a framework, whenever possible, to handle as many cases as possible simultaneously so as to bring out a better insight and understanding of the subtle differences of the various equations with delays. Furthermore, such a unified theory would avoid duplication and expose open questions that are significant for future research. It is in this spirit that the authors view the importance of their monograph, which presents a systematic and unified theory of recent developments of equations with unbounded delay, describes the current state of the theory showing the essential unity achieved, and provides a general structure applicable to a variety of problems. It is the first book that: (i) presents a unified framework to investigate the basic existence theory for a variety of equations with delay; (ii) treats the classification of equations with memory precisely so as to bring out the subtle differences between them; (iii) develops a systematic study of stability theory in terms of two different measures which includes several known concepts; and (iv) exhibits the advantages of employing Lyapunov functions on product spaces as well as the method of perturbing Lyapunov functions. This book will be of value to researchers and advanced graduate students in mathematics, electrical engineering and biomathematics.
Because the theory of equations with delay terms occurs in a variety of contexts, it is important to provide a framework, whenever possible, to handle as many cases as possible simultaneously so as to bring out a better insight and understanding of the subtle differences of the various equations with delays. Furthermore, such a unified theory would avoid duplication and expose open questions that are significant for future research. It is in this spirit that the authors view the importance of their monograph, which presents a systematic and unified theory of recent developments of equations with unbounded delay, describes the current state of the theory showing the essential unity achieved, and provides a general structure applicable to a variety of problems. It is the first book that: (i) presents a unified framework to investigate the basic existence theory for a variety of equations with delay; (ii) treats the classification of equations with memory precisely so as to bring out the subtle differences between them; (iii) develops a systematic study of stability theory in terms of two different measures which includes several known concepts; and (iv) exhibits the advantages of employing Lyapunov functions on product spaces as well as the method of perturbing Lyapunov functions. This book will be of value to researchers and advanced graduate students in mathematics, electrical engineering and biomathematics.
Creation of the Universe traces the development of the Big Bang theory, from the expansion of the universe to quantum cosmology, from the formation of large scale structure to the physics of the Planck era. Fang Li Zhi, a leading Chinese astrophysicist and Li Shu Xian (co-author and wife) trace the advances in cosmology and recount experiences made by scientists — their frustrations and hardships, hopes and joys — in an easily comprehensible and often humorous manner. Complex topics are elucidated with anecdotes from Eastern and Western philosophy.
This book aims to theoretically and empirically enrich the GVC accounting framework with statistical physics and complex network theory from the perspective of econophysics, thus adding up to the existing theories. Besides, it also aims at capturing the essences of network models such as topological complexity, hierarchy, transmissibility, interaction, and causality and reflecting the objective interrelations among economies or between economies and economic systems on the GVC, so as to reveal the inherent evolution of the cross-regional and even global economic systems.
The rise of e-commerce has transformed China's economy over the past two decades. By late 2020, close to 800 million Chinese people had shopped online and more than 60 million citizens were directly or indirectly employed in e-commerce-related industries. Yet the rapid rise of the industry seems to defy conventional wisdom. For instance, China's e-commerce market took off without strong formal institutions to support it, challenging the prevailing notion in political economy that certain formal institutions like state-provided secure property rights, contract enforcement, and the rule of law are crucial pre-conditions for supporting efficient markets. Using a vast array of qualitative and quantitative data, Lizhi Liu reveals how, with weak rule of law, China instead outsourced part of its institutional functions to e-commerce companies themselves-prominent examples include Alibaba's Taobao.com and Tmall.com. Liu calls these companies "private regulatory intermediaries" (PRIs) and shows how they fulfill various legal, social, and political functions that the state might otherwise take on. Taobao, for example, has a complex reputation mechanism, a credit score, a fraud detection program, and even a jury-like system in which users can adjudicate cases or vote to change platform rules. Liu also explores how, beyond the systematic level, e-commerce has significant individual-level effects-namely, that e-commerce reduces the household cost of living but also distracts citizens from local political issues. Ultimately, this project goes beyond traditional analysis emphasizing either the rule of law or informal networks in supporting market development; it provides a lens to understand institutional experimentation broadly and deepens our understanding of state-business relationships in the Chinese context"--
Written by surgical pathologists for surgical pathologists, Surgical Pathology of the Liver focuses on sharpening your skills and knowledge in diagnostic histopathology, including laboratory and clinical findings that are directly useful when evaluating liver histology for clinical care. It offers comprehensive, superbly illustrated coverage of general liver pathology, as well as several chapters on topics that are not often included in liver pathology textbooks. Abundant high-quality illustrations have been carefully chosen to support and extend the information given in the text.
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