This text is designed both for students of probability and stochastic processes, and for students of functional analysis. For the reader not familiar with functional analysis a detailed introduction to necessary notions and facts is provided. However, this is not a straight textbook in functional analysis; rather, it presents some chosen parts of functional analysis that can help understand ideas from probability and stochastic processes. The subjects range from basic Hilbert and Banach spaces, through weak topologies and Banach algebras, to the theory of semigroups of bounded linear operators. Numerous standard and non-standard examples and exercises make the book suitable as a course textbook or for self-study.
This authored monograph presents a mathematical description of the time evolution of neutral genomic regions in terms of the differential Lyapunov equation. The qualitative behavior of its solutions, with respect to different mutation models and demographic patterns, can be characterized using operator semi group theory. Mutation and drift are two of the main genetic forces, which act on genes of individuals in populations. Their effects are influenced by population dynamics. This book covers the application to two mutation models: single step mutation for microsatellite loci and single-base substitutions. The effects of demographic change to the asymptotic of the distribution are also covered. The target audience primarily covers researchers and experts in the field but the book may also be beneficial for graduate students.
This book presents a detailed and contemporary account of the classical theory of convergence of semigroups and its more recent development treating the case where the limit semigroup, in contrast to the approximating semigroups, acts merely on a subspace of the original Banach space (this is the case, for example, with singular perturbations). The author demonstrates the far-reaching applications of this theory using real examples from various branches of pure and applied mathematics, with a particular emphasis on mathematical biology. The book may serve as a useful reference, containing a significant number of new results ranging from the analysis of fish populations to signaling pathways in living cells. It comprises many short chapters, which allows readers to pick and choose those topics most relevant to them, and it contains 160 end-of-chapter exercises so that readers can test their understanding of the material as they go along.
This text presents selected areas of functional analysis that can facilitate an understanding of ideas in probability and stochastic processes. Topics covered include basic Hilbert and Banach spaces, weak topologies and Banach algebras, and the theory ofsemigroups of bounded linear operators.
This collection of essays continues Adam Gillon's comparatist approach to Joseph Conrad, which he exhibited in three previous books: The Eternal Solitary: A Study of Joseph Conrad (1960 and 1964), Conrad and Shakespeare and Other Essays (1976), and Joseph Conrad (Tawyne English Authors Series), 1982. In the present collection, Gillon extends his perspectives by examining the affinities between Conrad's descriptive art and painting and film. Gillon presents a variety of new views and insights as he traces the connections between Conrad and such writers as Henry James and Vladimir Nabokov and compares Conradian characters Prince Roman and Peer Ivanovitch. Gillon's Polish background looms large in this collection. His mastery of the Polish language is apparent in the discussion of two Polish novels about Conrad's early life and in his translation of excerpts from these novels. The first and last chapters offer moving glimpses of Gillon's own Polish footprints, his initiation into Conrad lore, and the visit to his native land after a long absence. The intimacy and wry humor of these recollections are evident also in his essay about adapting Conrad to film, which is illustrated with excerpts from his scripts Under Western Eyes and Dark Country, his screenplay inspired by Heart of Darkness and Conradian themes. A native of Poland, Adam Gillon is professor emeritus of English and comparative literature at the State University of New York, New Paltz. He has lectured at universities in Canada, Israel, and Europe. His numerous publications include critical studies of Conrad, fiction, poetry, translations, articles, and reviews. He has written award-winning plays for screen, stage, and radio. He wrote, directed, and produced a feature film, The Bet. Gillon is president of the Joseph Conrad Society of America and founder and senior editor of its newsletter, Joseph Conrad Today.Raymond Brebach is an associate professor of humanities at Drexel University. He is a contributing editor for the Cambridge Edition of the Works of Joseph Conrad and he edits Joseph Conrad Today, the newsletter of the Joseph Conrad Society of America. He has written on the collaboration of Joseph Conrad and Ford Madox Ford.
This publication focuses on vocabulary, which reflects unique Canadian traits; elements that share not only a Canadian origin but also reference to everyday contexts present on both the micro and macro stage. The conducted study aimed to show variation on the lexical level, which may result from a fluid sense of national identity. The Toronto region, due to its extensive multi-cultural and multi-ethnic background bears a sense of diversity both on the social and linguistic ground. The conducted study involved the distribution of questionnaires, which tested speakers’ knowledge of Canadian register, their ability of using them in the context of everyday discourse and the identification of items. Furthermore, the author had obtained two years worth of texts from the Toronto Sun, which enabled the observation of Canadianisms within the written medium of a media context. The resulting data formed a database labeled by the author as the LCTES (Lodz Corpus for Toronto English Study).
This collection of essays continues Adam Gillon's comparatist approach to Joseph Conrad, which he exhibited in three previous books: The Eternal Solitary: A Study of Joseph Conrad (1960 and 1964), Conrad and Shakespeare and Other Essays (1976), and Joseph Conrad (Tawyne English Authors Series), 1982. In the present collection, Gillon extends his perspectives by examining the affinities between Conrad's descriptive art and painting and film. Gillon presents a variety of new views and insights as he traces the connections between Conrad and such writers as Henry James and Vladimir Nabokov and compares Conradian characters Prince Roman and Peer Ivanovitch. Gillon's Polish background looms large in this collection. His mastery of the Polish language is apparent in the discussion of two Polish novels about Conrad's early life and in his translation of excerpts from these novels. The first and last chapters offer moving glimpses of Gillon's own Polish footprints, his initiation into Conrad lore, and the visit to his native land after a long absence. The intimacy and wry humor of these recollections are evident also in his essay about adapting Conrad to film, which is illustrated with excerpts from his scripts Under Western Eyes and Dark Country, his screenplay inspired by Heart of Darkness and Conradian themes. A native of Poland, Adam Gillon is professor emeritus of English and comparative literature at the State University of New York, New Paltz. He has lectured at universities in Canada, Israel, and Europe. His numerous publications include critical studies of Conrad, fiction, poetry, translations, articles, and reviews. He has written award-winning plays for screen, stage, and radio. He wrote, directed, and produced a feature film, The Bet. Gillon is president of the Joseph Conrad Society of America and founder and senior editor of its newsletter, Joseph Conrad Today.Raymond Brebach is an associate professor of humanities at Drexel University. He is a contributing editor for the Cambridge Edition of the Works of Joseph Conrad and he edits Joseph Conrad Today, the newsletter of the Joseph Conrad Society of America. He has written on the collaboration of Joseph Conrad and Ford Madox Ford.
This Best Practice Guide on the Control of Iron and Manganese in Water Supply is one of a series produced by the International Water Association’s Specialist Group on Metals and Related Substances in Drinking Water. Iron and manganese are often found in soft upland water sources associated with natural organic matter and are also commonly found in the groundwater abstracted from confined and unconfined aquifers. The presence of iron and manganese in water is one of the most frequent reasons for customers’ complaint due to aesthetic issues (yellow, brown and black or stains on laundry and plumbing fixtures). These two metals can be removed fairly readily by physico-chemical treatment. The municipal treatment systems deployed derive benefit from their larger scale, particularly in relation to control, but the processes used are less suitable for the numerous small supplies that are the most common water supplies throughout Europe, especially in rural areas. One important source of iron in drinking water is from old corroded cast-iron water mains, historically the material used most commonly in supply networks. Replacement and refurbishment is very expensive and the major challenge is how best to prioritize available expenditure. The purpose for this Best Practice Guide on the Control of Iron and Manganese in Water Supply is to give readers the broad view of a problem based on state-of-the-art compilation of the range of scientific, engineering, regulatory and operational issues concerned with the control of iron and manganese in drinking water. The Guide is of interest to water utility practitioners, health agencies and policy makers, as well as students on civil engineering and environmental engineering courses. Authors: Dr Adam Postawa, AGH University of Science and Technology, Faculty of Geology, Geophysics and Environment Protection, Krakow, Poland and Dr Colin R Hayes, University of Swansea, UK, Chair of IWA Specialist Group on Metals and Related Substances in Drinking Water.
This book discusses the evolution of ideas about the desirable combination of planning and market in the former Soviet Union, Poland, Czechoslovakia and Hungary since the 1960s, when major economic reforms started, up to 1991 when the countries have been engaged in a transformation of their economies into market economies. It also discusses the common and contrasting features of the debates which evolved in the countries under review.
The author discusses the traditional system of management of the economy as it existed in the early 1950s in the USSR and goes on to deal with the reforms of the 1960s and of the 1980s, country by country. He shows that the focus of the reforms is on finding a proper combination of planning and the market mechanism, and their success will be judged by their ability to solve acute economic problems.
The past decade has seen numerous major mathematical breakthroughs for topics such as the finite field Kakeya conjecture, the cap set conjecture, Erdős's distinct distances problem, the joints problem, as well as others, thanks to the introduction of new polynomial methods. There has also been significant progress on a variety of problems from additive combinatorics, discrete geometry, and more. This book gives a detailed yet accessible introduction to these new polynomial methods and their applications, with a focus on incidence theory. Based on the author's own teaching experience, the text requires a minimal background, allowing graduate and advanced undergraduate students to get to grips with an active and exciting research front. The techniques are presented gradually and in detail, with many examples, warm-up proofs, and exercises included. An appendix provides a quick reminder of basic results and ideas.
A poignant account of the perils and fortunes of an indomitable survivor of violence in Eastern Europe during World War II. In 1939, to escape Nazi occupation, 14-year-old Adam Broner and his older brother Sam left their home and family in Lodz, Poland, and made their way to the Soviet Union. Adam enlisted in the Red Army to join the fight against the Nazis but was sent to work in a Siberian coal mine instead when his nationality was discovered. After a bold and daring escape from Siberia, Broner reached the Soviet Polish Kosciuszko Army, joined the struggle against the Nazis, participated in the liberation of Poland, and rode victorious into Berlin in 1945. He later learned that his parents, siblings (except Sam), and all other close relatives had perished during the war. Broner rebuilt his life, established a family, returned to Moscow for a degree in economics, and then went back to Poland, where he accepted a job in the Polish central planning agency. Eventually fed up with the growing anti-Semitism of the Communist government there, the author emigrated to the United States in 1969. He earned a doctorate from Princeton University and served as an economic adviser to New Jersey governors and the state legislature. In retirement, Broner learned portrait painting and reproduced the likenesses of his parents and siblings from memory, which are presented along with their biographies in this book. In recounting his struggle for survival during some of the most dramatic upheavals of the 20th century— the Great Depression, Nazism, World War II, and the spread of Communism in Central Europe— Broner reveals a life dedicated to the ultimate goal of freedom, which he achieved through a combination of arduous effort and fortunate circumstance.
Heart disease is currently the leading cause of maternal mortality in developed countries and is expected to increase further due to advanced maternal age and conditions such as type 2 diabetes. Maternal Cardiac Care: A Guide to Managing Pregnant Women with Heart Disease is an up-to-date, multidisciplinary resource for physicians and advanced practice nurses caring for pregnant patients with a variety of preexisting and emerging cardiac issues. Offers comprehensive information on caring for women with heart disease, in an easy-to-follow, quick-access format. Shares knowledge from a multidisciplinary group of experts who are well versed in the team approach needed to treat this high-risk patient population. Includes extensive references for readers who want to delve more deeply into specific subjects. Ideal for obstetricians, internists, cardiologists, critical care specialists, and advanced practice nurses involved in caring for pregnant patients, as well as institutions and departments that need detailed guidance on establishing a maternal cardiac care program.
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