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Stationary Processes and Discrete Parameter Markov Processes
This textbook explores two distinct stochastic processes that evolve at random: weakly stationary processes and discrete parameter Markov processes.Building from simple examples, the authors focus on developing context and intuition before formalizing the theory of each topic.This inviting approach illuminates the key ideas and computations in the proofs, forming an ideal basis for further study. After recapping the essentials from Fourier analysis, the book begins with an introduction to the spectral representation of a stationary process.Topics in ergodic theory follow, including Birkhoff's Ergodic Theorem and an introduction to dynamical systems.From here, the Markov property is assumed and the theory of discrete parameter Markov processes is explored on a general state space.Chapters cover a variety of topics, including birth-death chains, hitting probabilities and absorption, the representation of Markov processes as iterates of random maps, and large deviation theory for Markov processes.A chapter on geometric rates of convergence to equilibrium includes a splitting condition that captures the recurrence structure of certain iterated maps in a novel way.A selection of special topics concludes the book, including applications of large deviation theory, the FKG inequalities, coupling methods, and the Kalman filter. Featuring many short chapters and a modular design, this textbook offers an in-depth study of stationary and discrete-time Markov processes.Students and instructors alike will appreciate the accessible, example-driven approach and engaging exercises throughout.A single, graduate-level course in probability is assumed.
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Diffusion Processes, Jump Processes, and Stochastic Differential Equations
Diffusion Processes, Jump Processes, and Stochastic Differential Equations provides a compact exposition of the results explaining interrelations between di?usion stochastic processes, stochastic di?erential equations and the fractional in?nitesimal operators.The draft of this book has been extensively classroom tested by the author at Case Western Reserve University in a course that enrolled seniors and graduate students majoring in mathematics, statistics, engineering, physics, chemistry, economics and mathematical ?nance.The last topic proved to be particularly popular among students looking for careers on Wall Street and in research organizations devoted to ?nancial problems.Features Quickly and concisely builds from basic probability theory to advanced topics Suitable as a primary text for an advanced course in diffusion processes and stochastic differential equations Useful as supplementary reading across a range of topics.
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Diffusion Processes, Jump Processes, and Stochastic Differential Equations
Diffusion Processes, Jump Processes, and Stochastic Differential Equations provides a compact exposition of the results explaining interrelations between di?usion stochastic processes, stochastic di?erential equations and the fractional in?nitesimal operators.The draft of this book has been extensively classroom tested by the author at Case Western Reserve University in a course that enrolled seniors and graduate students majoring in mathematics, statistics, engineering, physics, chemistry, economics and mathematical ?nance.The last topic proved to be particularly popular among students looking for careers on Wall Street and in research organizations devoted to ?nancial problems.Features Quickly and concisely builds from basic probability theory to advanced topics Suitable as a primary text for an advanced course in diffusion processes and stochastic differential equations Useful as supplementary reading across a range of topics.
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Language Planning Processes
CONTRIBUTIONS TO THE SOCIOLOGY OF LANGUAGE brings to students, researchers and practitioners in all of the social and language-related sciences carefully selected book-length publications dealing with sociolinguistic theory, methods, findings and applications. It approaches the study of language in society in its broadest sense, as a truly international and interdisciplinary field in which various approaches, theoretical and empirical, supplement and complement each other. The series invites the attention of linguists, language teachers of all interests, sociologists, political scientists, anthropologists, historians etc. to the development of the sociology of language.
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What are maturation processes and learning processes?
Maturation processes refer to the natural biological development and growth that occurs in an individual over time. These processes are largely influenced by genetics and occur without direct instruction or external influence. On the other hand, learning processes involve the acquisition of new knowledge, skills, or behaviors through experiences, instruction, and practice. Learning processes are influenced by environmental factors, social interactions, and cognitive development. Both maturation processes and learning processes play important roles in an individual's overall development and ability to adapt to their environment.
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What is the difference between LMI processes and LMN processes?
LMI (Linear Matrix Inequality) processes and LMN (Linear Matrix Norm) processes are both used in control theory to analyze and design control systems. The main difference between the two is that LMI processes focus on finding solutions to a set of linear matrix inequalities, while LMN processes focus on analyzing the norms of linear matrix equations. LMI processes are used to solve optimization problems and design robust control systems, while LMN processes are used to analyze the stability and performance of control systems. In summary, LMI processes are more focused on optimization and design, while LMN processes are more focused on analysis and stability.
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What is the difference between heat treatment processes and hardening processes?
Heat treatment processes refer to a range of techniques used to alter the physical and sometimes chemical properties of a material, typically through heating and cooling. This can include processes such as annealing, tempering, and quenching. Hardening processes, on the other hand, specifically refer to the heat treatment technique used to increase the hardness of a material, typically through heating and then rapidly cooling, or quenching, the material. In essence, hardening is a specific type of heat treatment process focused on increasing the hardness of a material, while heat treatment processes encompass a broader range of techniques aimed at altering various properties of a material.
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What are warehouse processes?
Warehouse processes refer to the series of activities and operations involved in the management and movement of goods within a warehouse. These processes include receiving, storing, picking, packing, and shipping of products. Additionally, warehouse processes also involve inventory management, order fulfillment, and maintaining the overall organization and efficiency of the warehouse. These processes are crucial for ensuring the smooth and accurate flow of goods in and out of the warehouse, ultimately contributing to the success of the supply chain and customer satisfaction.
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Sustainable Manufacturing Processes
Sustainable Manufacturing Processes provides best practice advice on sustainable manufacturing methods, with examples from industry as well as important supporting theory.In the current manufacturing industry, processes and materials are developed with close reference to sustainability issues, with an outward look to optimum production efficiency and reduced environmental impact.Important topics such as the use of renewable energy, reduction of material waste and recycling, reduction in energy and water consumption, and reduction in emissions are all discussed, along with broad coverage of deformation and joining technologies, computational techniques, and computer-aided engineering.In addition, a wide range of traditional and innovative manufacturing technologies are covered, including friction stir welding, incremental forming, abrasive water jet machining, laser beam machining, sustainable foundry, porous material fabrication by powder metallurgy, laser and additive manufacturing, and thermoelectric and thermomagnetic energy harvesting.
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Basic Stochastic Processes
This book presents basic stochastic processes, stochastic calculus including Lévy processes on one hand, and Markov and Semi Markov models on the other.From the financial point of view, essential concepts such as the Black and Scholes model, VaR indicators, actuarial evaluation, market values, fair pricing play a central role and will be presented. The authors also present basic concepts so that this series is relatively self-contained for the main audience formed by actuaries and particularly with ERM (enterprise risk management) certificates, insurance risk managers, students in Master in mathematics or economics and people involved in Solvency II for insurance companies and in Basel II and III for banks.
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Introduction to Stochastic Processes
Emphasizing fundamental mathematical ideas rather than proofs, Introduction to Stochastic Processes, Second Edition provides quick access to important foundations of probability theory applicable to problems in many fields.Assuming that you have a reasonable level of computer literacy, the ability to write simple programs, and the access to software for linear algebra computations, the author approaches the problems and theorems with a focus on stochastic processes evolving with time, rather than a particular emphasis on measure theory. For those lacking in exposure to linear differential and difference equations, the author begins with a brief introduction to these concepts.He proceeds to discuss Markov chains, optimal stopping, martingales, and Brownian motion.The book concludes with a chapter on stochastic integration.The author supplies many basic, general examples and provides exercises at the end of each chapter. New to the Second Edition:Expanded chapter on stochastic integration that introduces modern mathematical finance Introduction of Girsanov transformation and the Feynman-Kac formula Expanded discussion of Itô's formula and the Black-Scholes formula for pricing options New topics such as Doob's maximal inequality and a discussion on self similarity in the chapter on Brownian motionApplicable to the fields of mathematics, statistics, and engineering as well as computer science, economics, business, biological science, psychology, and engineering, this concise introduction is an excellent resource both for students and professionals.
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Illustrators on Creative Processes
In How Ideas Are Born, readers will find a treasure chest ofimages by 26 diverse illustrators from 12 different countriesthat the author has gathered, selected and curated for the book. The types of images and styles vary, ranging from the childlikeand naive to the poignant, suggestive and truly masterly. In addition to the 270 images, the book contains 110 drawingsand pages from notebooks and sketchbooks that take thereader deeper into the nature of each artist's work.The visualelements are complemented by revealing interviews with eachartist in which they discuss what compelled them to becomeillustrators, their inspirations, and the research, methods,personal philosophies and work processes that allow them totransform a creative impulse or an emotion into an idea, and anidea into a work of art.We learn about what drives and inspiresthem as well as the origins of their ideas and creativity, from aninnocent curiosity about shapes and colors to the desire to sharesomething fascinating and wonderful with others in a uniqueand original way.Contributors: ARGENTINA: Isol Misenta. BELGIUM: Tom Schamp. BRASIL: Flavio Morais. CANADA:Anita Kunz. FRANCE: Serge Bloch, Delphine Durand, MartinJarrie, Herve Tullet.IRELAND: Chris Haughton. ITALY: SimoneRea, Valerio Vidali. JAPAN: Yoshiko Hada. PORTUGAL: AnaBiscaia, Carolina Celas. SPAIN: Elisa Arguile, Pablo Auladell,Pep Carrio, Jesus Cisneros, Isidro Ferrer, Manuel Marsol, M.A. Perez Arteaga. SWITZERLAND: Fanny Dreyer. USA: GaryBaseman (Los Angeles, CA), Katie Benn (San Francisco, CA),Lisa Congdon (Portland, OR), Elizabeth Haidle (Portland, OR).
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Which processes are unnecessary?
Processes that do not add value to the final product or service are considered unnecessary. This could include redundant paperwork, excessive approval steps, or overly complex decision-making processes. Unnecessary processes can slow down operations, increase costs, and create inefficiencies within an organization. Identifying and eliminating these unnecessary processes can help streamline operations and improve overall productivity.
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What are climatic processes?
Climatic processes refer to the various natural mechanisms and interactions that influence the Earth's climate system. These processes include factors such as solar radiation, greenhouse gas concentrations, ocean currents, and atmospheric circulation patterns. They play a crucial role in determining the long-term trends and variations in global and regional climates. Understanding climatic processes is essential for predicting future climate changes and their potential impacts on ecosystems, weather patterns, and human societies.
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What are exponential processes?
Exponential processes are mathematical functions or growth patterns where the rate of change of a quantity is proportional to its current value. In other words, the quantity increases or decreases at a constant percentage rate over a fixed interval of time. Exponential processes often result in rapid and accelerating growth, as the quantity being measured continually multiplies by a fixed factor. These processes are commonly observed in various natural phenomena, such as population growth, compound interest, and radioactive decay.
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What are storage processes?
Storage processes refer to the methods and systems used to store and manage data or materials in a systematic and organized manner. These processes involve storing items in a way that allows for easy retrieval, tracking, and maintenance. Examples of storage processes include inventory management, warehousing, and digital data storage. Effective storage processes are essential for businesses to optimize their operations and ensure efficient use of resources.
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