Download or read book Probability Theory written by Werner Linde and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-06-04 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as an introduction to Probability Theory and Mathematical Statistics for students in mathematics, the physical sciences, engineering, and related fields. It is based on the author’s 25 years of experience teaching probability and is squarely aimed at helping students overcome common difficulties in learning the subject. The focus of the book is an explanation of the theory, mainly by the use of many examples. Whenever possible, proofs of stated results are provided. All sections conclude with a short list of problems. The book also includes several optional sections on more advanced topics. This textbook would be ideal for use in a first course in Probability Theory. Contents: Probabilities Conditional Probabilities and Independence Random Variables and Their Distribution Operations on Random Variables Expected Value, Variance, and Covariance Normally Distributed Random Vectors Limit Theorems Introduction to Stochastic Processes Mathematical Statistics Appendix Bibliography Index
Download or read book Linde written by H. Dienel and published by Springer. This book was released on 2004-06-14 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1877, university Professor Carl von Linde obtained a patent for his refrigerator from the Imperial Patent Office - a patent for something that was not merely an invention, but the result of serious research in the basic laws of physics. Linde went on to found the Linde Company, one of the biggest German Gas and Engineering companies which became one of the models for science based industries. Today, the Linde Group, headquartered in Wiesbaden, Germany, is a global technology company dedicated to gas and engineering, material handling and refrigeration. This book examines the history of this company in the context of the history of technology in industry.
Download or read book Single Variable Calculus written by Yunzhi Zou and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-03-19 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a comprehensive yet compressed entry-level introduction on single variable calculus, focusing on the concepts and applications of limits, continuity, derivative, defi nite integral, series, sequences and approximations. Chapters are arranged to outline the essence of each topic and to address learning diffi culties, making it suitable for students and lecturers in mathematics, physics and engineering. Contents Prerequisites for calculus Limits and continuity The derivative Applications of the derivative The definite integral Techniques for integration and improper integrals Applications of the definite integral Infinite series, sequences, and approximations
Download or read book Calcium The molecular basis of calcium action in biology and medicine written by R. Pochet and published by Springer Science & Business Media. This book was released on 2011-06-28 with total page 746 pages. Available in PDF, EPUB and Kindle. Book excerpt: The enormous and varied role of calcium in living systems is now widely appreciated by both cell biologists and clinicians. The identification and characterisation of new calcium binding proteins and regulatory pathways is matched by the recognition of the involvement of calcium binding proteins in a growing number of disease states. This book is intended to introduce clinicians to fundamental biological research, whilst at the same time attracting researchers to the clinical world. The publication of the book coincides with the elucidation of the complete Human Genomic Sequence. As a result of this, scientists now have access to an unprecedented array of data, from which new calcium binding proteins and hence new regulatory pathways will undoubtedly be discovered. It is a further aim of this book to provide a `key' to open the door to the new postgenomic era. The book is in three parts. The first section introduces the reader to the role of calcium in cell biology, providing an appreciation of how this small, simple, non-metabolisable agent can move rapidly and silently through the different cellular compartments, thereby influencing and controlling the fate of the cell. This section also illustrates and dissects the often-complex interplay between calcium and numerous agents in muscle and endocrine cells, neurons, hepatocytes, and platelets. In the second section the reader will discover the role of calcium and its partners in common diseases such as migraine and drug dependence. New classes of diseases such as annexinopathies, channelopathies, calcium-sensing disorders, and citrullinemia are discussed, and the authors give many new insights into the molecular mechanisms of the diseases, thereby explaining how and why they occur. Such information is clearly of primary importance for the pharmaceutical industry. New ideas and concepts of neurodegenerative diseases are introduced, which should stimulate new approaches. Clinicians will also have access, in a comprehensive and authoritative yet highly readable chapter, to data from recent large-scale clinical studies on the numerous and widely prescribed calcium antagonists. The final section gives information on new methods and devices for calcium imaging, and illustrates how calcium movement and change can be monitored and ingeniously utilised as a fast, cheap, and accurate drug screening instrument.
Download or read book On Central Critical Values of the Degree Four L functions for mathrm GSp 4 The Fundamental Lemma written by Masaaki Furusawa and published by American Mathematical Soc.. This book was released on 2003 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proves two equalities of local Kloosterman integrals on $\mathrm{GSp}\left(4\right)$, the group of $4$ by $4$ symplectic similitude matrices. This book conjectures that both of Jacquet's relative trace formulas for the central critical values of the $L$-functions for $\mathrm{g1}\left(2\right)$ in [{J1}] and [{J2}].
Download or read book Weak Convergence of Stochastic Processes written by Vidyadhar S. Mandrekar and published by Walter de Gruyter GmbH & Co KG. This book was released on 2016-09-26 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to present results on the subject of weak convergence in function spaces to study invariance principles in statistical applications to dependent random variables, U-statistics, censor data analysis. Different techniques, formerly available only in a broad range of literature, are for the first time presented here in a self-contained fashion. Contents: Weak convergence of stochastic processes Weak convergence in metric spaces Weak convergence on C[0, 1] and D[0,∞) Central limit theorem for semi-martingales and applications Central limit theorems for dependent random variables Empirical process Bibliography
Download or read book S Modules in the Category of Schemes written by Po Hu and published by American Mathematical Soc.. This book was released on 2003 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gives a theory $S$-modules for Morel and Voevodsky's category of algebraic spectra over an arbitrary field $k$. This work also defines universe change functors, as well as other important constructions analogous to those in topology, such as the twisted half-smash product.
Download or read book Interpolation of Weighted Banach Lattices A Characterization of Relatively Decomposable Banach Lattices written by Michael Cwikel and published by American Mathematical Soc.. This book was released on 2003 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes a paper that provides necessary and sufficient conditions on a couple of Banach lattices of measurable functions $(X_{0}, X_{1})$ which ensure that, for all weight functions $w_{0}$ and $w_{1}$, the couple of weighted lattices $(X_{0, w_{0}}, X_{1, w_{1}})$ is a Calderon-Mityagin cou
Download or read book Asymptotic Methods in Probability and Statistics with Applications written by N. Balakrishnan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traditions of the 150-year-old St. Petersburg School of Probability and Statis tics had been developed by many prominent scientists including P. L. Cheby chev, A. M. Lyapunov, A. A. Markov, S. N. Bernstein, and Yu. V. Linnik. In 1948, the Chair of Probability and Statistics was established at the Department of Mathematics and Mechanics of the St. Petersburg State University with Yu. V. Linik being its founder and also the first Chair. Nowadays, alumni of this Chair are spread around Russia, Lithuania, France, Germany, Sweden, China, the United States, and Canada. The fiftieth anniversary of this Chair was celebrated by an International Conference, which was held in St. Petersburg from June 24-28, 1998. More than 125 probabilists and statisticians from 18 countries (Azerbaijan, Canada, Finland, France, Germany, Hungary, Israel, Italy, Lithuania, The Netherlands, Norway, Poland, Russia, Taiwan, Turkey, Ukraine, Uzbekistan, and the United States) participated in this International Conference in order to discuss the current state and perspectives of Probability and Mathematical Statistics. The conference was organized jointly by St. Petersburg State University, St. Petersburg branch of Mathematical Institute, and the Euler Institute, and was partially sponsored by the Russian Foundation of Basic Researches. The main theme of the Conference was chosen in the tradition of the St.
Download or read book Probability in Banach Spaces 9 written by Jorgen Hoffmann-Jorgensen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers contained in this volume are an indication of the topics th discussed and the interests of the participants of The 9 International Conference on Probability in Banach Spaces, held at Sandjberg, Denmark, August 16-21, 1993. A glance at the table of contents indicates the broad range of topics covered at this conference. What defines research in this field is not so much the topics considered but the generality of the ques tions that are asked. The goal is to examine the behavior of large classes of stochastic processes and to describe it in terms of a few simple prop erties that the processes share. The reward of research like this is that occasionally one can gain deep insight, even about familiar processes, by stripping away details, that in hindsight turn out to be extraneous. A good understanding about the disciplines involved in this field can be obtained from the recent book, Probability in Banach Spaces, Springer-Verlag, by M. Ledoux and M. Thlagrand. On page 5, of this book, there is a list of previous conferences in probability in Banach spaces, including the other eight international conferences. One can see that research in this field over the last twenty years has contributed significantly to knowledge in probability and has had important applications in many other branches of mathematics, most notably in statistics and functional analysis.
Download or read book Extending Intersection Homology Type Invariants to Non Witt Spaces written by Markus Banagl and published by American Mathematical Soc.. This book was released on 2002 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intersection homology theory provides a way to obtain generalized Poincare duality, as well as a signature and characteristic classes, for singular spaces. For this to work, one has had to assume however that the space satisfies the so-called Witt condition. We extend this approach to constructing invariants to spaces more general than Witt spaces.
Download or read book Bioengineering of the Skin written by Klaus-Peter Wilhelm and published by CRC Press. This book was released on 1996-12-03 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through continuous research and development of modern instrumentation, it is now possible to visualize minute structures of the skin surface not visible to the human eye. Bioengineering of the Skin: Skin Surface Imaging and Analysis, written by an internationally based group of scientists, addresses engineering techniques for visualizing and analyzing skin surface images and profiles. This skin bioengineering reference offers comprehensive information about the technology of instruments in this field and the art of applying them in experimental studies. It explains what the instruments measure and why and when they should be used in skin research and product testing.
Download or read book Lithium Ion Batteries written by Yoshiaki Kato and published by CRC Press. This book was released on 2019-04-05 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: High-performance secondary batteries, also called rechargeable or storage batteries, are a key component of electric automobiles, power storage for renewable energies, load levellers of electric power lines, base stations for mobile phones, and emergency power supply in hospitals, in addition to having application in energy security and realization of a low-carbon and resilient society. A detailed understanding of the physics and chemistry that occur in secondary batteries is required for developing next-generation secondary batteries with improved performance. Among various types of secondary batteries, lithium-ion batteries are most widely used because of their high energy density, small memory effect, and low self-discharge rate. This book introduces lithium-ion batteries, with an emphasis on their overview, roadmaps, and simulations. It also provides extensive descriptions of ion beam analysis and prospects for in situ diagnostics of lithium-ion batteries. The chapters are written by specialists in cutting-edge research on lithium-ion batteries and related subjects. The book will be a great reference for advanced undergraduate- and graduate-level students, researchers, and engineers in electrochemistry, nanotechnology, and diagnostic methods and instruments.
Download or read book Radially Symmetric Patterns of Reaction Diffusion Systems written by Arnd Scheel and published by American Mathematical Soc.. This book was released on 2003 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes a paper that studies bifurcations of stationary and time-periodic solutions to reaction-diffusion systems. This title develops a center-manifold and normal form theory for radial dynamics which allows for a complete description of radially symmetric patterns.
Download or read book Invariants of Boundary Link Cobordism written by Desmond Sheiham and published by American Mathematical Soc.. This book was released on 2003 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: An $n$-dimensional $\mu$-component boundary link is a codimension $2$ embedding of spheres $L=\sqcup_{\mu}S DEGREESn \subset S DEGREES{n+2}$ such that there exist $\mu$ disjoint oriented embedded $(n+1)$-manifolds which span the components of $L$. This title proceeds to compute the isomorphism class of $C_{
Download or read book Allergic to Life written by Frank Lichtenberger and published by Springer Nature. This book was released on 2023-11-28 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This easy-to-read title provides a comprehensive discussion of the major changes in daily life that have led to states of increased bodily inflammation. Indeed, today there is an epidemic of allergic and autoimmune disease in the first and developing world. While outdoor climate change is now considered common knowledge, the impact of longer work hours, artificial lighting, increased food shelf life, and changes to the microbiome all have made a large impact in increasing allergies worldwide. An allergy, best defined as a “damaging response from the Immune system due to a substance in the environment,” starts with warning signals, or generalized "symptoms," that are caused by something in the environment. Itching, aches, pains, swelling, coughing, and fatigue are all immune responses. Written in an engaging -- and often humorous -- style by an allergist/immunologist, the first three chapters outline how the human body is in an unquestionably harmful environment, and that, in general, the immune system is just doing its job. In subsequent chapters, the specific topics contributing to allergies are covered in detail, starting with microorganisms and a focus on indoor living. Dust mites, for example, are addressed in one full chapter -- and for good reason. The past few decades have seen an explosion of climate controlled, humidified indoor airspace that is ideally suited for more mass production of mites. In the end, emphasizes the author, all roads of inflammation from the environment lead to the “mast cell compartment.” The stress responses of the body summarily drive up this compartment and have led to a world-wide prevalence of between 14% to 17% of “mast cell activation syndrome.” While genetics and comorbid conditions are important in any symptom or disease process, the mast cell compartment feeds and grows off all the major environmental changes of the past 50 or so years. This is why the human body in the 21st century is in a low level state of “rejection,” of the world, says the author. Most of these changes are irreversible, but the situation is not hopeless. Understanding how the body changes itself in response to its environment will allow controlled desensitization to the environment. Allergic to Life: How the Human Body Rejects the Modern World serves as a concise and lively text for clinicians and general readers interested in a deep, expert dive into the world of allergy and immunology.
Download or read book High Dimensional Probability written by Ernst Eberlein and published by Birkhäuser. This book was released on 2012-12-06 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is high dimensional probability? Under this broad name we collect topics with a common philosophy, where the idea of high dimension plays a key role, either in the problem or in the methods by which it is approached. Let us give a specific example that can be immediately understood, that of Gaussian processes. Roughly speaking, before 1970, the Gaussian processes that were studied were indexed by a subset of Euclidean space, mostly with dimension at most three. Assuming some regularity on the covariance, one tried to take advantage of the structure of the index set. Around 1970 it was understood, in particular by Dudley, Feldman, Gross, and Segal that a more abstract and intrinsic point of view was much more fruitful. The index set was no longer considered as a subset of Euclidean space, but simply as a metric space with the metric canonically induced by the process. This shift in perspective subsequently lead to a considerable clarification of many aspects of Gaussian process theory, and also to its applications in other settings.
