This book covers a broad range of filter theories, algorithms, and numerical examples. The representative linear and nonlinear filters such as the Kalman filter, the steady-state Kalman filter, the H infinity filter, the extended Kalman filter, the Gaussian sum filter, the statistically linearized Kalman filter, the unscented Kalman filter, the Gaussian filter, the cubature Kalman filter are first visited. Then, the non-Gaussian filters such as the ensemble Kalman filter and the particle filters based on the sequential Bayesian filter and the sequential importance resampling are described, together with their recent advances. Moreover, the information matrix in the nonlinear filtering, the nonlinear smoother based on the Markov Chain Monte Carlo, the continuous-discrete filters, factorized filters, and nonlinear filters based on stochastic approximation method are detailed. 1 Review of the Kalman Filter and Related Filters 2 Information Matrix in Nonlinear Filtering 3 Extended Kalman Filter and Gaussian Sum Filter 4 Statistically Linearized Kalman Filter 5 The Unscented Kalman Filter 6 General Gaussian Filters and Applications 7 The Ensemble Kalman Filter 8 Particle Filter 9 Nonlinear Smoother with Markov Chain Monte Carlo 10 Continuous-Discrete Filters 11 Factorized Filters 12 Nonlinear Filters Based on Stochastic Approximation Method
This book covers a broad range of filter theories, algorithms, and numerical examples. The representative linear and nonlinear filters such as the Kalman filter, the steady-state Kalman filter, the H infinity filter, the extended Kalman filter, the Gaussian sum filter, the statistically linearized Kalman filter, the unscented Kalman filter, the Gaussian filter, the cubature Kalman filter are first visited. Then, the non-Gaussian filters such as the ensemble Kalman filter and the particle filters based on the sequential Bayesian filter and the sequential importance resampling are described, together with their recent advances. Moreover, the information matrix in the nonlinear filtering, the nonlinear smoother based on the Markov Chain Monte Carlo, the continuous-discrete filters, factorized filters, and nonlinear filters based on stochastic approximation method are detailed. 1 Review of the Kalman Filter and Related Filters 2 Information Matrix in Nonlinear Filtering 3 Extended Kalman Filter and Gaussian Sum Filter 4 Statistically Linearized Kalman Filter 5 The Unscented Kalman Filter 6 General Gaussian Filters and Applications 7 The Ensemble Kalman Filter 8 Particle Filter 9 Nonlinear Smoother with Markov Chain Monte Carlo 10 Continuous-Discrete Filters 11 Factorized Filters 12 Nonlinear Filters Based on Stochastic Approximation Method
Alkaloids are a large group of structurally complex natural products displaying a wide range of biological activities. The purpose of Alkaloids: A Treasury of Poisons and Medicines is to classify, for the first time, the alkaloids isolated from the natural sources until now. The book classifies all of the alkaloids by their biosynthetic origins. Of interest to the organic chemistry and medicinal chemistry communities involved in drug discovery and development, this book describes many alkaloids isolated from the medicinal plants, including those used in Japanese Kampo medicine. Classifies and lists alkaloids from natural sources Occurrence and biosynthetic pathways of alkaloids Indicates key uses and bioactivity of alkaloids
This book offers unique insights into how Adam Smith understood globalization, and examines how he incorporated his knowledge of the world and globalization into his classical political economy. Although Smith lived in society that was far from globalized, he experienced the beginning of globalization. Smith considered the most developed society the commercial society: the society that results from people meeting with strangers. Among Enlightenment thinkers, Smith was one of the most important figures with respect to interaction in the world, and it is through his lens that the authors view the impact of the mixing of diverse peoples. Firstly, the book describes how Smith was influenced by information from around the world. Leaving eighteenth-century Europe, including Smith’s native Scotland, people travelled, traded, and immigrated to far-flung parts of the globe, sometimes writing books and pamphlets about their travels. Informed by these writers, Smith took into consideration the world beyond Europe and strangers with non-European backgrounds. Against that background, the book reinterprets Smith’s moral philosophy. In The Theory of Moral Sentiments, Smith developed his moral philosophy, in which he examined how people form opinions through their meetings with strangers. He researched how encounters with strangers created the sharing of social rules. As such, the book studies how Smith believed that people in dissimilar communities come to share common concepts of morality and justice. Lastly, it provides an innovative reading of Smith’s political economy. In The Wealth of Nations, Smith established the market model of economic society. However, he saw the limitations of that model since it does not consider the impact of money on economy and international trade. He also recognized the limitations of his own equilibrium theory of market, the theory that is still influential today.
This book introduces the role of cation–π interactions in chemistry, biology, and polymer materials science. Since the cation–π interaction was defined in 1990, its importance has been recognized in a variety of fields due to its relatively significant interaction energy. A number of examples are introduced in which the contribution of cation-π interactions was evidenced by X-ray structures, spectroscopies, computations, and other means. The latest developments in these areas are remarkable; therefore, many recent examples are included.As this book covers the basic aspects of the applications of cation–π interactions it is useful for students and researchers in a wide variety of scientific fields. In addition, the book will not only facilitate understanding of the phenomena occurring in various systems but also provides insights into the design of new catalysts, reactions, and materials.
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