This textbook contains the lecture series originally delivered at the "Advanced Course on Limit Cycles of Differential Equations" in the Centre de Rechercha Mathematica Barcelona in 2006. It covers the center-focus problem for polynomial vector fields and the application of abelian integrals to limit cycle bifurcations. Both topics are related to the authors' interests in Hilbert's sixteenth problem, but would also be of interest to those working more generally in the qualitative theory of dynamical systems.
This book gathers a large amount of recent research results on this topic to better understand the static creep micro–macro fracture mechanics in brittle solids (e.g., glass, ceramic, concrete, ice, and rock). To be precise, this is about to explore the effects of the external factors of stress paths, water content, seepage pressure, dynamic disturbance, thermal treated temperature, and the internal factors of crack angle, size, recovery, and nucleation coalescence on the static creep fracture mechanical properties in brittle solids. This book provides important theoretical support in evaluation for long-term lifetime in the brittle solid engineering (e.g., deep underground engineering, architecture engineering, aerospace engineering, and mechanical manufacturing engineering).
This book is concerned with the bifurcation theory, the study of the changes in the structures of the solution of ordinary differential equations as parameters of the model vary.
Many probability books are written by mathematicians and have the built-in bias that the reader is assumed to be a mathematician coming to the material for its beauty. This textbook is geared towards beginning graduate students from a variety of disciplines whose primary focus is not necessarily mathematics for its own sake. Instead, A Probability Path is designed for those requiring a deep understanding of advanced probability for their research in statistics, applied probability, biology, operations research, mathematical finance and engineering. A one-semester course is laid out in an efficient and readable manner covering the core material. The first three chapters provide a functioning knowledge of measure theory. Chapter 4 discusses independence, with expectation and integration covered in Chapter 5, followed by topics on different modes of convergence, laws of large numbers with applications to statistics (quantile and distribution function estimation) and applied probability. Two subsequent chapters offer a careful treatment of convergence in distribution and the central limit theorem. The final chapter treats conditional expectation and martingales, closing with a discussion of two fundamental theorems of mathematical finance. Like Adventures in Stochastic Processes, Resnick’s related and very successful textbook, A Probability Path is rich in appropriate examples, illustrations and problems and is suitable for classroom use or self-study. The present uncorrected, softcover reprint is designed to make this classic textbook available to a wider audience. This book is different from the classical textbooks on probability theory in that it treats the measure theoretic background not as a prerequisite but as an integral part of probability theory. The result is that the reader gets a thorough and well-structured framework needed to understand the deeper concepts of current day advanced probability as it is used in statistics, engineering, biology and finance.... The pace of the book is quick and disciplined. Yet there are ample examples sprinkled over the entire book and each chapter finishes with a wealthy section of inspiring problems. —Publications of the International Statistical Institute This textbook offers material for a one-semester course in probability, addressed to students whose primary focus is not necessarily mathematics.... Each chapter is completed by an exercises section. Carefully selected examples enlighten the reader in many situations. The book is an excellent introduction to probability and its applications. —Revue Roumaine de Mathématiques Pures et Appliquées
This book interprets the close intimacy between poetry and painting from the perspective of intersemiotic translation, by providing a systematic examination of the bilingual and visual representation of landscape in the poetry of Wang Wei, a high Tang poet who won worldwide reputation. The author’s subtle analysis ranges from epistemological issues of language philosophy and poetry translation to the very depths where the later Heidegger and Tao-oriented Chinese wisdom can co-work to reveal their ontological inter-rootedness through a two-level cognitive-stylisitc research methodology.
This textbook contains the lecture series originally delivered at the "Advanced Course on Limit Cycles of Differential Equations" in the Centre de Rechercha Mathematica Barcelona in 2006. It covers the center-focus problem for polynomial vector fields and the application of abelian integrals to limit cycle bifurcations. Both topics are related to the authors' interests in Hilbert's sixteenth problem, but would also be of interest to those working more generally in the qualitative theory of dynamical systems.
This book is concerned with the bifurcation theory, the study of the changes in the structures of the solution of ordinary differential equations as parameters of the model vary.
This book interprets the close intimacy between poetry and painting from the perspective of intersemiotic translation, by providing a systematic examination of the bilingual and visual representation of landscape in the poetry of Wang Wei, a high Tang poet who won worldwide reputation. The author’s subtle analysis ranges from epistemological issues of language philosophy and poetry translation to the very depths where the later Heidegger and Tao-oriented Chinese wisdom can co-work to reveal their ontological inter-rootedness through a two-level cognitive-stylisitc research methodology.
This book gathers a large amount of recent research results on this topic to better understand the static creep micro–macro fracture mechanics in brittle solids (e.g., glass, ceramic, concrete, ice, and rock). To be precise, this is about to explore the effects of the external factors of stress paths, water content, seepage pressure, dynamic disturbance, thermal treated temperature, and the internal factors of crack angle, size, recovery, and nucleation coalescence on the static creep fracture mechanical properties in brittle solids. This book provides important theoretical support in evaluation for long-term lifetime in the brittle solid engineering (e.g., deep underground engineering, architecture engineering, aerospace engineering, and mechanical manufacturing engineering).
This book analyzes potential yields of six major food crops - rice, wheat, maize, potato, soybean and rapeseed worldwide using both qualitative and quantitative approaches to study both China’s and global food security under climate change. Firstly, it reviews previous studies on potential yields of rice, wheat, maize, potato, soybean and rapeseed worldwide to provide a detailed information of studying on China’s and global food security based on the product’s supply and demand of these crops. Secondly, average and top (national) yields of rice, wheat, maize, potato, soybean and rapeseed since 1961 on global scale are employed to analyze their temporal and spatial variation trends and potential limits. Thirdly, the effects of global warming in climate change on both average and top yields of rice, wheat, maize, potato, soybean and rapeseed since 1961 at global level are analyzed using regression model, and their differences between average and top yields among these crops are identified and compared. Fourthly, the yields and per capita quantity of rice, wheat, maize, potato, soybean and rapeseed in major producer-countries and the world are analyzed to assess the situation and trend of international trade for the products of these crops, respectively. Fifthly, potential yields of rice, wheat, maize, potato, soybean and rapeseed worldwide by 2030 are projected using both trend-regressed models and ARIMA models to estimate the per capita quantity of these crops based on the projection of world population and assess the status of Chinese and global food security in that future. Finally, it provides policy implications and advice on food security for China and the world directing food production by 2030 under climate change.
North America maintains the largest collection of archival materials relating to the Chinese Republican era (1911–1949) outside of China. Most of the archival materials are also unique, and the collections contain special materials supplementing historical records in China and Taiwan. In many cases, North America's holdings represent the best and only public access to the tumultuous Republican government and society of the first half of the twentieth century. An essential guide for researchers and students of Republican China, this volume, presented in both English and Chinese, covers personal papers, correspondences, memoirs, diaries, photographs, moving images, and other materials held at academic and research institutions across the United States and Canada. It includes concise descriptions of the people, organizations, and events connected to each entry and notes when certain collections are closely related and when materials are digitized for online access. The book corrects common errors associated with the library records of many archives and updates or completes information on the objects of these records. More than a straightforward itemization, this book adds significant depth to any research on the history and global import of China's modern development.
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