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2439 руб.

Abstract algebraic logic is the more general and abstract side of algebraic logic, the branch of mathematics that studies the connections between logics and their algebra-based semantics. This emerging subfield of mathematical logic consolidated since the 1980s, and is considered as the algebraic logic of the twenty-first century; as such it is increasingly becoming an indispensable tool to approach the algebraic study of any (mainly sentential) logic in a systematic way.This book is an introductory textbook on abstract algebraic logic, and takes a bottom-up approach, treating first logics with a simpler algebraic study, such as Rasiowa's implicative logics, and then guides readers, by means of successive steps of generalization and abstraction, to meet more and more complicated algebra-based semantics. An entire chapter is devoted to Blok and Pigozzi's theory of algebraizable logics, proving the main theorems and incorporating later developments by other scholars. After a chapter with the basics of the classical theory of matrices, one chapter is devoted to an in-depth exposition of the semantics of generalized matrices. There are also two more avanced chapters providing introductions to the two hierachies that organize the logical landscape according to the criteria of abstract algebraic logic, the Leibniz hierarchy and the Frege hierarchy. All throughout the book, particular care is devoted to the presentation and classification of dozens of examples of particular ...
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2500 руб.

Polska Akademia nauk, Instytut Matematyczny Monografie Matematyczne. Том 57
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9218.23 руб.

Markov Chains: Analytic and Monte Carlo Computations introduces the main notions related to Markov chains and provides explanations on how to characterize, simulate, and recognize them. Starting with basic notions, this book leads progressively to advanced and recent topics in the field, allowing the reader to master the main aspects of the classical theory. This book also features: Numerous exercises with solutions as well as extended case studies. A detailed and rigorous presentation of Markov chains with discrete time and state space. An appendix presenting probabilistic notions that are necessary to the reader, as well as giving more advanced measure-theoretic notions.
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1789 руб.

The theory of logical consequence is central in modern logic and its applications. However, it is mostly dispersed in an abundance of often difficultly accessible papers, and rarely treated with applications in mind. This book collects the most fundamental aspects of this theory and offers the reader the basics of its applications in computer science, artificial intelligence, and cognitive science, to name but the most important fields where this notion finds its many applications. Both deductive and non-deductive consequence are discussed. The starting point is classical deductive consequence: classical logic is the reference system, and the non-classical deductive systems are seen as extensions, deviations, or variations thereof. The discussion of non-classical deductive consequence focuses on many-valued, intuitionistic, modal, paraconsistent, and substructural logical consequences. The topic of non-deductive consequence is elaborated on from the viewpoints of abductive, inductive, and probabilistic logics. All in all, the major contemporary (classes of) logical systems are here discussed. The approach is mathematical in essence, and the mathematical background, mainly founded on order relations, is treated thoroughly and in an accessible way for the non-mathematician.
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27889.16 руб.

The new edition of Principles and Practice of Pharmaceutical Medicine is a comprehensive reference guide to all aspects of pharmaceutical medicine. New content includes chapters and coverage on regulatory updates, increasing international harmonization, transitional and probabilistic approaches to drug development, the growing sophistication and regulatory importance of pharmacovigilance, personalized medicine and growth in biotechnology as a source of new experimental drugs.
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2639 руб.

Originating as an attempt to provide solid logical foundations for fuzzy set theory, and motivated also by philosophical and computational problems of vagueness and imprecision, Mathematical Fuzzy Logic (MFL) has become a significant subfield of mathematical logic. Research in this area focuseson many-valued logics with linearly ordered truth values and has yielded elegant and deep mathematical theories and challenging problems, thus continuing to attract an ever increasing number of researchers.This two-volume handbook provides an up-to-date systematic presentation of the best-developed areas of MFL. Its intended audience is researchers working on MFL or related fields, who may use the text as a reference book, and anyone looking for a comprehensive introduction to MFL. Despite being located in the realm of pure mathematical logic, this handbook will also be useful for readers interested in logical foundations of fuzzy set theory or in a mathematical apparatus suitable for dealing with some philosophical and linguistic issues related to vagueness.The first volume contains a gentle introduction to MFL, a presentation of an abstract algebraic framework for MFL, chapters on proof theory and algebraic semantics of fuzzy logics, and, finally, an algebraic study of Hájek's logic BL.The second volume is devoted to Łukasiewicz logic and MValgebras, Gödel-Dummett logic and its variants, fuzzy logics in expanded propositional languages, studies of functional representations for fu...
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2614 руб.

Originating as an attempt to provide solid logical foundations for fuzzy set theory, and motivated also by philosophical and computational problems of vagueness and imprecision, Mathematical Fuzzy Logic (MFL) has become a significant subfield of mathematical logic. Research in this area focuses on many-valued logics with linearly ordered truth values and has yielded elegant and deep mathematical theories and challenging problems, thus continuing to attract an ever increasing number of researchers.This two-volume handbook provides an up-to-date systematic presentation of the best-developed areas of MFL. Its intended audience is researchers working on MFL or related fields, who may use the text as a reference book, and anyone looking for a comprehensive introduction to MFL. Despite being located in the realm of pure mathematical logic, this handbook will also be useful for readers interested in logical foundations of fuzzy set theory or in a mathematical apparatus suitable for dealing with some philosophical and linguistic issues related to vagueness.The first volume contains a gentle introduction to MFL, a presentation of an abstract algebraic framework for MFL, chapters on proof theory and algebraic semantics of fuzzy logics, and, fi nally, an algebraic study of Hájek's logic BL. The second volume is devoted to Łukasiewicz logic and MValgebras, Gödel-Dummett logic and its variants, fuzzy logics in expanded propositional languages, studies of functional representations for...
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2639 руб.

Probabilistic methods are increasingly becoming an importanttool in a variety of disciplines including computer science,mathematics, artificial intelligence, epistemology, game and decision theory and linguistics. In addition to the discussionon applications of probabilistic methods there is an importantphilosophical debate concerning the precise meaning andinterpretation of probabilistic and statistical statements. This volume contains fully refereed versions of papers presented at the sixth installment of the conference series Foundations of the Formal Sciences (FotFS) which was aninterdisciplinary venue bringing together researchers usingprobabilistic and statistical methods in their respective fieldsand researchers who are concerned with the philosophicalinterpretation of probability and statistics to exchange ideas,approaches and techniques. The conference FotFS VIfacilitated discussions about the applicability of probabilisticmethods and helped to ground foundational debates withconcerns for practitioners of probabilistic methods.
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4419 руб.

The influence of components ageing through the lifetime of the plant plays an important role in safety assessments, representing an important concern for many types of organizations. The book presents an initiative in assessing the ageing effects using the probabilistic safety assessment studies. The book includes chapters presenting general aspects of ageing phenomena, probabilistic safety assessment considerations, and possible applications of the study that incorporates the ageing effects. The evaluation of ageing effects in a specific case study, including the modelling methodology to incorporate the effects of ageing in probabilistic safety assessment study is presented. The case study results are illustrated with graphical representations. The book should help shed some light on area of ageing effects evaluations, and should be especially useful to professionals in reliability, safety and risk assessment field, or anyone else who may be considering evaluating the ageing effects.
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9683.48 руб.

A unique discussion of mathematical methods with applications to quantum mechanics Non-Selfadjoint Operators in Quantum Physics: Mathematical Aspects presents various mathematical constructions influenced by quantum mechanics and emphasizes the spectral theory of non-adjoint operators. Featuring coverage of functional analysis and algebraic methods in contemporary quantum physics, the book discusses the recent emergence of unboundedness of metric operators, which is a serious issue in the study of parity-time-symmetric quantum mechanics. The book also answers mathematical questions that are currently the subject of rigorous analysis with potentially significant physical consequences. In addition to prompting a discussion on the role of mathematical methods in the contemporary development of quantum physics, the book features: Chapter contributions written by well-known mathematical physicists who clarify numerous misunderstandings and misnomers while shedding light on new approaches in this growing area An overview of recent inventions and advances in understanding functional analytic and algebraic methods for non-selfadjoint operators as well as the use of Krein space theory and perturbation theory Rigorous support of the progress in theoretical physics of non-Hermitian systems in addition to mathematically justified applications in various domains of physics such as nuclear and particle physics and condensed matter physics An ideal reference, Non-Selfadjoint Operators in Quantum Physics: Mathematical Aspects is useful for researchers, professionals, and academics in applied mathematics and theoretical and/or applied physics who would like to expand their knowledge of classical applications of quantum tools to address problems in their research. Also a useful resource for recent and related trends, the book is appropriate as a graduate-level and/or PhD-level text for courses on quantum mechanics and mathematical models in physics.
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8822.26 руб.

A Brief History of Analytic Philosophy: From Russell to Rawls presents a comprehensive overview of the historical development of all major aspects of analytic philosophy, the dominant Anglo-American philosophical tradition in the twentieth century. Features coverage of all the major subject areas and figures in analytic philosophy – including Wittgenstein, Bertrand Russell, G.E. Moore, Gottlob Frege, Carnap, Quine, Davidson, Kripke, Putnam, and many others Contains explanatory background material to help make clear technical philosophical concepts Includes listings of suggested further readings Written in a clear, direct style that presupposes little previous knowledge of philosophy
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10221 руб.

Book DescriptionIn this volume the methodological aspects of the scenario logic and probabilistic (LP) non-success risk management are considered. The theoretical bases of scenario non-success risk LP-management in business and engineering are also stated. Methods and algorithms for the scenario risk LP-management in problems of classification, investment and effectiveness are described. Risk LP- models and results of numerical investigations for credit risks, risk of frauds, security portfolio risk, risk of quality, accuracy, and risk in multi-stage systems reliability are given. In addition, a rather large number of new problems of estimation, analysis and management of risk are considered. Software for risk problems based on LP-methods, LP-theory, andGIE is described too.
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1330 руб.

2014 Reprint of 1962 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. In "Algebraic Logic" Halmos devised polyadic algebras, an algebraic version of first-order logic differing from the better known cylindric algebras of Alfred Tarski and his students. An elementary version of polyadic algebra is described in monadic Boolean algebra. This book addresses some of the problems of mathematical logic and the theory of polyadic Boolean algebras in particular. It is intended to be an efficient way of treating algebraic logic in a unified manner.
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1052 руб.

Bachelorarbeit aus dem Jahr 2009 im Fachbereich Informatik - Theoretische Informatik, Note: 1, Fachhochschule Technikum Wien, 14 Quellen im Literaturverzeichnis, Sprache: Deutsch, Abstract: Probabilistic algorithms in IT are not yet wide spread. Often probabilistic variants are the only feasible solution for problems. You can find many papers about them, but there is a lack of a paper which initiates you into this domain and helps to understand it with many demonstrative examples. The contribution of this paper is to summarize information of different papers and compare different applications for same problems. Furthermore to present how and why probabilistic algorithms work. In this paper probabilistic databases, routing and broadcasting are described and different variants compared.
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7877 руб.

Algebraic K-Theory has become an increasingly active area of research. With its connections to algebra, algebraic geometry, topology, and number theory, it has implications for a wide variety of researchers and students in mathematics. This book is based on lectures given by the author at the Tata Institute in Bombay and elsewhere. This new edition includes an appendix on algebraic geometry that contains required definitions and results needed to understand the core of the book.
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480 руб.

The book contains theoretical knowledge in such IT areas as enterprise architecture, information security, service management, project management, and business process management. It describes the models and approaches to assess the cost of ownership and organizational aspects of IT. The book will be a good asset for IT managers and heads of IT units. The material is presented in a logical order for the methodical study of all aspects of IT operations, as well as using it as a handbook.
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79.9 руб.

This paper extends research on the relation between crime and happiness by investigating the impact of serious and less serious crime (i.e. incorrect behavior) on subjective wellbeing using a representative survey of the Dutch adult population in 2008. We also control for variables reflecting trust, health and social norms, in addition to standard demographic and socio-economic characteristics. We find that people who feel healthy, have more trust in others and have higher social norms are in general happier. We find evidence of an indirect effect of victimization on well-being via trust, health and social norms. The remaining effect of victimization on well-being, keeping trust, social norms, and health constant, is quite weak.
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6302 руб.

A volume in Research in Management ConsultingSeries Editor Anthony F. Buono, Bentley UniversityThis volume continues the collaboration between the RMC book series and the French management research think tankISEOR (Socio-Economic Institute for Firms and Organizations). Those familiar with Henri Savall's and his colleagueVéronique Zardet's earlier work on the socio-economic theory of organizations will recognize their assessments oforganizational dysfunctions and hidden costs - but in a different context. In their current work, the emphasis is on thetensions created by the wider environment - the idea of tetranormalization - and how those tensions shape and influenceorganizational life. Drawing a wide range of examples from the news media and popular press, Savall and Zardet paint adisturbing picture of the underlying dynamics and challenges posed by a literal avalanche of standards and norms - whichare often ambiguous and conflicting - that literally encompasses all that we do.Their analytic framework is composed of four "poles" - two social dimensions and two economic dimensions - thatcapture social norms and quality, safety and environment standards (the social dimension), and trade-related norms andaccounting and financial standards (the economic dimension). Throughout the volume, Savall and Zardet's analysis captures the myriad ways in which these dimensionsinteract, shaping the "rules of the game" that dictate how organizations compete and col...
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7264 руб.

The book "The Verification Theory of Meaning: A Quinean Prospective" attempts at presenting a clear perspective on the verification theory of meaning in the field of philosophy of language. In the introductory chapter, the aim of meaning theory and the task of positivists are elaborated. Other topics covered hereby are the analytic propositions, synthetic propositions, logic, language, translation, theory, verification theory of meaning, cognitivism, subject/predicate relationship, meaning atomism, logical positivism, merit and demerit of verification theory, logical falsificationism, meaning holism. Each chapter is followed by plenty of experiences for the benefit of the reader and the researchers.
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8056.95 руб.

Probabilistic Design for Optimization and Robustness: Presents the theory of modeling with variation using physical models and methods for practical applications on designs more insensitive to variation. Provides a comprehensive guide to optimization and robustness for probabilistic design. Features examples, case studies and exercises throughout. The methods presented can be applied to a wide range of disciplines such as mechanics, electrics, chemistry, aerospace, industry and engineering. This text is supported by an accompanying website featuring videos, interactive animations to aid the readers understanding.
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9219.83 руб.

The book is composed of 12 chapters and three appendices, and can be divided into four parts. The first part includes Chapters 2 to 7, which discuss the concepts, models, methods and data in probabilistic transmission planning. The second part, Chapters 8 to 11, addresses four essential issues in probabilistic transmission planning applications using actual utility systems as examples. Chapter 12, as the third part, focuses on a special issue, i.e. how to deal with uncertainty of data in probabilistic transmission planning. The fourth part consists of three appendices, which provide the basic knowledge in mathematics for probabilistic planning.
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8908.8 руб.

Praise for the Third Edition “Researchers of any kind of extremal combinatorics or theoretical computer science will welcome the new edition of this book.” – MAA Reviews Maintaining a standard of excellence that establishes The Probabilistic Method as the leading reference on probabilistic methods in combinatorics, the Fourth Edition continues to feature a clear writing style, illustrative examples, and illuminating exercises. The new edition includes numerous updates to reflect the most recent developments and advances in discrete mathematics and the connections to other areas in mathematics, theoretical computer science, and statistical physics. Emphasizing the methodology and techniques that enable problem-solving, The Probabilistic Method, Fourth Edition begins with a description of tools applied to probabilistic arguments, including basic techniques that use expectation and variance as well as the more advanced applications of martingales and correlation inequalities. The authors explore where probabilistic techniques have been applied successfully and also examine topical coverage such as discrepancy and random graphs, circuit complexity, computational geometry, and derandomization of randomized algorithms. Written by two well-known authorities in the field, the Fourth Edition features: Additional exercises throughout with hints and solutions to select problems in an appendix to help readers obtain a deeper understanding of the best methods and techniques New coverage on topics such as the Local Lemma, Six Standard Deviations result in Discrepancy Theory, Property B, and graph limits Updated sections to reflect major developments on the newest topics, discussions of the hypergraph container method, and many new references and improved results The Probabilistic Method, Fourth Edition is an ideal textbook for upper-undergraduate and graduate-level students majoring in mathematics, computer science, operations research, and statistics. The Fourth Edition is also an excellent reference for researchers and combinatorists who use probabilistic methods, discrete mathematics, and number theory. Noga Alon, PhD, is Baumritter Professor of Mathematics and Computer Science at Tel Aviv University. He is a member of the Israel National Academy of Sciences and Academia Europaea. A coeditor of the journal Random Structures and Algorithms, Dr. Alon is the recipient of the Polya Prize, The Gödel Prize, The Israel Prize, and the EMET Prize. Joel H. Spencer, PhD, is Professor of Mathematics and Computer Science at the Courant Institute of New York University. He is the cofounder and coeditor of the journal Random Structures and Algorithms and is a Sloane Foundation Fellow. Dr. Spencer has written more than 200 published articles and is the coauthor of Ramsey Theory, Second Edition, also published by Wiley.
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877 руб.

Don't be afraid of number because mastery of them can actually help you greatly. A Sudoku puzzle is a number game that helps you think of better strategies and more creatively, too! It taps into your analytic and logical reasoning skills so your memory improves and brain remains healthy and active. It is recommended that you play this puzzle game on a regular basis. Secure a copy today!
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4202 руб.

Scientific Study from the year 2014 in the subject Organisation and Administration, grade: 100, , language: English, abstract: Starting from the idea that public administration is a complex phenomenon, in order to be understood, it is necessary to use an interdisciplinary approach.Due to the complexity of this phenomenon, the science of administration has relations with several branches of science and with many scientific disciplines, among which an important role manifest: administrative law, management (in this sense emerging public management), economics (in the form of public economics), sociology (outlining a sociology of administration), psychology, theory of decision, logic (being able to discuss about a logic of the administration's action, a logic of the administrative norms) demographics, informatics etc.Logical analysis, in the concept of Gheorghe Enescu, "represents the analysis of the logical structure of a given process of thought (expressed in a text or discourse), for the purpose of verifying the correctness of the logic. Logical analysis presupposes the following steps" :1) analysis of language clarity and accuracy (manner in which the terms are defined and the sentences are formed);2) analysis of the manner in which classifications and/or divisions are performed (if any);3) analysis of arguments and, in general, of the logical coherence of thought;4) analysis of consistence of thought (of non-contradiction). "The main condition of a process o...
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2052 руб.

The Handbook of Normative Multiagent Systems presents a comprehensive overview of the state-of-the-art and trends in the research field of normative multiagent systems (NorMAS). The handbook provides a solid introduction to the essentials of the field for newcomers and a selection of advanced issues as a base for future research directions.Norms are widely used to represent ethical, legal, and interactive aspects of social systems. Normative multiagent systems provide a promising model for human and artificial agent coordination since they integrate norms and individual intelligence. Thus, in the NorMAS community we build upon computer science but also logic, legal theory, sociology, psychology, and cognitive science.The handbook is organised in four parts. The introduction part describes the foundations and the history of the field and adds a particular focus on the social sciences’ view on norms.The second part describes the major achievements the NorMAS research fi eld attained in the modelling of normative multiagent systems and the main challenges still open. Examples of these challenges include how to specify norms, verify systems of norms, model norm emergence and norm change, detect and subsequently manage norm violations, model organisations and institutions, and the use of agent-based simulation models to study these norm-related processes.Part C is concerned with the engineering of normative multiagent systems, more in particular interaction protocols to convey nor...
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8927 руб.

Social norms are the informal laws of the society, which are sustained by social sanctions. Some social norms increase the welfare of the society, whereas others may make a significant part of the population worse-off. In India, norms related to the caste system had huge impact on the life of people, and still influence their decisions. Due to the prevalence of the caste system, the occupation of an individual used to be decided by the caste in which he was born. In modern India, caste based discrimination is illegal, nevertheless caste system has not lost its importance. One can easily find the differences in occupational structure and welfare level of upper and lower caste groups. However, the differences in occupational structure can also be found within the upper castes, suggesting that the differences may not be purely the result of caste based discrimination. The present study is an attempt to examine the direct and indirect impact of different social norms, related to caste system in India, on occupational choice. Two caste groups, Jat and Bania, are compared for this purpose. The study also examines the impact of social norms on the efficiency of different occupations.
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1727 руб.

2014 Reprint of 1940 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. One of Collingwood's finest works, "Essay on Metaphysics" considers the nature of philosophy, and puts forward Collingwood's original and influential theories of causation, presuppositions, and the logic of question and answer. From the mid-thirties onwards Collingwood's work increasingly engaged in a dialogue with the newly emerging school of analytic philosophy. In this work he attacked the neo-empiricist assumptions prevalent in early analytic philosophy and advocated a logical/epistemological transformation of metaphysics from a study of being or ontology to a study of the absolute presuppositions or heuristic principles which govern different forms of enquiry. Collingwood thus occupies a distinctive position in the history of British philosophy in the first half of the 20th century. He rejects equally the neo-empiricist assumptions that prevailed in early analytic philosophy and the kind of metaphysics that the analytical school sought to overthrow.
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15106.96 руб.

The book presents highly technical approaches to the probabilistic physics of failure analysis and applications to accelerated life and degradation testing to reliability prediction and assessment. Beside reviewing a select set of important failure mechanisms, the book covers basic and advanced methods of performing accelerated life test and accelerated degradation tests and analyzing the test data. The book includes a large number of very useful examples to help readers understand complicated methods described. Finally, MATLAB, R and OpenBUGS computer scripts are provided and discussed to support complex computational probabilistic analyses introduced.
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4983 руб.

Application of fuzzy logic to control theory became successful and revolutionary. Its applications to data analysis, artificial intelligence and computational intelligence are intensively developed. Using fuzzy theory one can provide exact representation of concepts and relations that are vague. On the theoretical side fuzzy theory is applied to a variety of mathematical fields such as analysis, algebra, topology, graph theory, optimization and many branches of operations research. The aim of this book is to enrich the theoretical development of fuzzy sets and to apply the concepts of fuzzy sets to ideals in different algebraic structures namely semigroups, gamma semigroups and subtraction semigroups. The contents of this book will encourage the learners by providing them the required basic and advanced level concepts necessary in the study of fuzzy algebraic structures. Illustrative examples are given to enhance understanding.
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7377 руб.

This book presents the analytic foundations to the theory of the hypoelliptic Laplacian. The hypoelliptic Laplacian, a second-order operator acting on the cotangent bundle of a compact manifold, is supposed to interpolate between the classical Laplacian and the geodesic flow. Jean-Michel Bismut and Gilles Lebeau establish the basic functional analytic properties of this operator, which is also studied from the perspective of local index theory and analytic torsion. The book shows that the hypoelliptic Laplacian provides a geometric version of the Fokker-Planck equations. The authors give the proper functional analytic setting in order to study this operator and develop a pseudodifferential calculus, which provides estimates on the hypoelliptic Laplacian's resolvent. When the deformation parameter tends to zero, the hypoelliptic Laplacian converges to the standard Hodge Laplacian of the base by a collapsing argument in which the fibers of the cotangent bundle collapse to a point. For the local index theory, small time asymptotics for the supertrace of the associated heat kernel are obtained. The Ray-Singer analytic torsion of the hypoelliptic Laplacian as well as the associated Ray-Singer metrics on the determinant of the cohomology are studied in an equivariant setting, resulting in a key comparison formula between the elliptic and hypoelliptic analytic torsions.
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8625.83 руб.

Probabilistic Finite Element Model Updating Using Bayesian Statistics: Applications to Aeronautical and Mechanical Engineering Tshilidzi Marwala and Ilyes Boulkaibet, University of Johannesburg, South Africa Sondipon Adhikari, Swansea University, UK Covers the probabilistic finite element model based on Bayesian statistics with applications to aeronautical and mechanical engineering Finite element models are used widely to model the dynamic behaviour of many systems including in electrical, aerospace and mechanical engineering. The book covers probabilistic finite element model updating, achieved using Bayesian statistics. The Bayesian framework is employed to estimate the probabilistic finite element models which take into account of the uncertainties in the measurements and the modelling procedure. The Bayesian formulation achieves this by formulating the finite element model as the posterior distribution of the model given the measured data within the context of computational statistics and applies these in aeronautical and mechanical engineering. Probabilistic Finite Element Model Updating Using Bayesian Statistics contains simple explanations of computational statistical techniques such as Metropolis-Hastings Algorithm, Slice sampling, Markov Chain Monte Carlo method, hybrid Monte Carlo as well as Shadow Hybrid Monte Carlo and their relevance in engineering. Key features: Contains several contributions in the area of model updating using Bayesian techniques which are useful for graduate students. Explains in detail the use of Bayesian techniques to quantify uncertainties in mechanical structures as well as the use of Markov Chain Monte Carlo techniques to evaluate the Bayesian formulations. The book is essential reading for researchers, practitioners and students in mechanical and aerospace engineering.
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14785.26 руб.

Algebraic Identification and Estimation Methods in Feedback Control Systems presents a model-based algebraic approach to online parameter and state estimation in uncertain dynamic feedback control systems. This approach evades the mathematical intricacies of the traditional stochastic approach, proposing a direct model-based scheme with several easy-to-implement computational advantages. The approach can be used with continuous and discrete, linear and nonlinear, mono-variable and multi-variable systems. The estimators based on this approach are not of asymptotic nature, and do not require any statistical knowledge of the corrupting noises to achieve good performance in a noisy environment. These estimators are fast, robust to structured perturbations, and easy to combine with classical or sophisticated control laws. This book uses module theory, differential algebra, and operational calculus in an easy-to-understand manner and also details how to apply these in the context of feedback control systems. A wide variety of examples, including mechanical systems, power converters, electric motors, and chaotic systems, are also included to illustrate the algebraic methodology. Key features: Presents a radically new approach to online parameter and state estimation. Enables the reader to master the use and understand the consequences of the highly theoretical differential algebraic viewpoint in control systems theory. Includes examples in a variety of physical applications with experimental results. Covers the latest developments and applications. Algebraic Identification and Estimation Methods in Feedback Control Systems is a comprehensive reference for researchers and practitioners working in the area of automatic control, and is also a useful source of information for graduate and undergraduate students.
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1799 руб.

2014 Reprint of 1958 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. This book, an introduction to the Weil-Zariski algebraic geometry, is an amplification of lectures for one of a series of courses, given by various people, going back to Zariski. Restricted to qualitative algebraic geometry, it is an admirable introduction to Weil's "Foundations" and, more generally, the whole of the modern literature as it existed before the advent of sheaves.
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864 руб.

Originally Titled: On Riemann's Theory Of Algebraic Functions And Their Integrals; A Supplement To The Usual Treatises - From The Unabridged Translation By Frances Hardcastle
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6202 руб.

This book is purely algebraic and concentrates on cyclic homology rather than on cohomology. It attempts to single out the basic algebraic facts and techniques of the theory.The book is organized in two chapters. The first chapter deals with the intimate relation of cyclic theory to ordinary Hochschild theory. The second chapter deals with cyclic homology as a typical characteristic zero theory.
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704 руб.

Эта книга — репринт оригинального издания 1955 года, созданный на основе электронной копии высокого разрешения, которую очистили и обработали вручную, сохранив структуру и орфографию оригинального издания. Редкие, забытые и малоизвестные книги, изданные с петровских времен до наших дней, вновь доступны в виде печатных книг.Wind-tunnel measurements at subsonic speeds of the static and dynamic-rotary stability derivatives of a triangular-wing airplane model having a triangular vertical tail.
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8985.26 руб.

Presents a probabilistic and information-theoretic framework for a search for static or moving targets in discrete time and space. Probabilistic Search for Tracking Targets uses an information-theoretic scheme to present a unified approach for known search methods to allow the development of new algorithms of search. The book addresses search methods under different constraints and assumptions, such as search uncertainty under incomplete information, probabilistic search scheme, observation errors, group testing, search games, distribution of search efforts, single and multiple targets and search agents, as well as online or offline search schemes. The proposed approach is associated with path planning techniques, optimal search algorithms, Markov decision models, decision trees, stochastic local search, artificial intelligence and heuristic information-seeking methods. Furthermore, this book presents novel methods of search for static and moving targets along with practical algorithms of partitioning and search and screening. Probabilistic Search for Tracking Targets includes complete material for undergraduate and graduate courses in modern applications of probabilistic search, decision-making and group testing, and provides several directions for further research in the search theory. The authors: Provide a generalized information-theoretic approach to the problem of real-time search for both static and moving targets over a discrete space. Present a theoretical framework, which covers known information-theoretic algorithms of search, and forms a basis for development and analysis of different algorithms of search over probabilistic space. Use numerous examples of group testing, search and path planning algorithms to illustrate direct implementation in the form of running routines. Consider a relation of the suggested approach with known search theories and methods such as search and screening theory, search games, Markov decision process models of search, data mining methods, coding theory and decision trees. Discuss relevant search applications, such as quality-control search for nonconforming units in a batch or a military search for a hidden target. Provide an accompanying website featuring the algorithms discussed throughout the book, along with practical implementations procedures.
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969 руб.

Эта книга — репринт оригинального издания, созданный на основе электронной копии высокого разрешения, которую очистили и обработали вручную, сохранив структуру и орфографию оригинального издания. Редкие, забытые и малоизвестные книги, изданные с петровских времен до наших дней, вновь доступны в виде печатных книг.
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3814 руб.

A treatise on the analytic geometry of three dimensions is an unchanged, high-quality reprint of the original edition of 1882.Hansebooks is editor of the literature on different topic areas such as research and science, travel and expeditions, cooking and nutrition, medicine, and other genres.As a publisher we focus on the preservation of historical literature.Many works of historical writers and scientists are available today as antiques only. Hansebooks newly publishes these books and contributes to the preservation of literature which has become rare and historical knowledge for the future.
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2752 руб.

Homotopy is a basic discipline of mathematics having fundamental and various applications to important fields of mathematics.The Journal has a wide scope which ranges from homotopical algebra and algebraic number theory and functional analysis. Diverse algebraic, geometric, topological and categorical structures are closely related to homotopy and the influence of homotopy is found in many fundamental areas of mathematics such as general algebra, algebraic topology, algebraic geometry, category theory, differential geometry, computer science, K-theory, functional analysis, Galois theory ad in physical sciences as well.The J. Homotopy and Related Structures intends to develop its vision on the determining role of homotopy in mathematics. the aim of the Journal is to show the importance, merit and diversity of homotopy in mathematical sciences.The J. Homotopy and Related structures is primarily concerned with publishing carefully refereed significant and original research papers. However a limited number of carefully selected survey and expository papers are also included, and special issues devoted to Proceedings of meetings in the field as well as to Festschrifts.
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10458.89 руб.

Illustrates how R may be used successfully to solve problems in quantitative finance Applied Probabilistic Calculus for Financial Engineering: An Introduction Using R provides R recipes for asset allocation and portfolio optimization problems. It begins by introducing all the necessary probabilistic and statistical foundations, before moving on to topics related to asset allocation and portfolio optimization with R codes illustrated for various examples. This clear and concise book covers financial engineering, using R in data analysis, and univariate, bivariate, and multivariate data analysis. It examines probabilistic calculus for modeling financial engineering—walking the reader through building an effective financial model from the Geometric Brownian Motion (GBM) Model via probabilistic calculus, while also covering Ito Calculus. Classical mathematical models in financial engineering and modern portfolio theory are discussed—along with the Two Mutual Fund Theorem and The Sharpe Ratio. The book also looks at R as a calculator and using R in data analysis in financial engineering. Additionally, it covers asset allocation using R, financial risk modeling and portfolio optimization using R, global and local optimal values, locating functional maxima and minima, and portfolio optimization by performance analytics in CRAN. Covers optimization methodologies in probabilistic calculus for financial engineering Answers the question: What does a «Random Walk» Financial Theory look like? Covers the GBM Model and the Random Walk Model Examines modern theories of portfolio optimization, including The Markowitz Model of Modern Portfolio Theory (MPT), The Black-Litterman Model, and The Black-Scholes Option Pricing Model Applied Probabilistic Calculus for Financial Engineering: An Introduction Using R s an ideal reference for professionals and students in economics, econometrics, and finance, as well as for financial investment quants and financial engineers.
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4762.73 руб.

Written in a clear, precise and user-friendly style, Logic as a Tool: A Guide to Formal Logical Reasoning is intended for undergraduates in both mathematics and computer science, and will guide them to learn, understand and master the use of classical logic as a tool for doing correct reasoning. It offers a systematic and precise exposition of classical logic with many examples and exercises, and only the necessary minimum of theory. The book explains the grammar, semantics and use of classical logical languages and teaches the reader how grasp the meaning and translate them to and from natural language. It illustrates with extensive examples the use of the most popular deductive systems – axiomatic systems, semantic tableaux, natural deduction, and resolution – for formalising and automating logical reasoning both on propositional and on first-order level, and provides the reader with technical skills needed for practical derivations in them. Systematic guidelines are offered on how to perform logically correct and well-structured reasoning using these deductive systems and the reasoning techniques that they employ. •Concise and systematic exposition, with semi-formal but rigorous treatment of the minimum necessary theory, amply illustrated with examples •Emphasis both on conceptual understanding and on developing practical skills •Solid and balanced coverage of syntactic, semantic, and deductive aspects of logic •Includes extensive sets of exercises, many of them provided with solutions or answers •Supplemented by a website including detailed slides, additional exercises and solutions For more information browse the book's website at: https://logicasatool.wordpress.com
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2077 руб.

Homotopy is a basic discipline of mathematics having fundamental and various applications to important fields of mathematics. The Journal has a wide scope which ranges from homotopical algebra and algebraic number theory and functional analysis. Diverse algebraic, geometric, topological and categorical structures are closely related to homotopy and the influence of homotopy is found in many fundamental areas of mathematics such as general algebra, algebraic topology, algebraic geometry, category theory, differential geometry, computer science, K-theory, functional analysis, Galois theory ad in physical sciences as well. The J. Homotopy and Related Structures intends to develop its vision on the determining role of homotopy in mathematics. the aim of the Journal is to show the importance, merit and diversity of homotopy in mathematical sciences. The J. Homotopy and Related structures is primarily concerned with publishing carefully refereed significant and original research papers. However a limited number of carefully selected survey and expository papers are also included, and special issues devoted to Proceedings of meetings in the field as well as to Festschrifts.
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3227 руб.

Homotopy is a basic discipline of mathematics having fundamental and various applications to important fields of mathematics. The Journal has a wide scope which ranges from homotopical algebra and algebraic number theory and functional analysis. Diverse algebraic, geometric, topological and categorical structures are closely related to homotopy and the influence of homotopy is found in many fundamental areas of mathematics such as general algebra, algebraic topology, algebraic geometry, category theory, differential geometry, computer science, K-theory, functional analysis, Galois theory ad in physical sciences as well. The J. Homotopy and Related Structures intends to develop its vision on the determining role of homotopy in mathematics. the aim of the Journal is to show the importance, merit and diversity of homotopy in mathematical sciences. The J. Homotopy and Related structures is primarily concerned with publishing carefully refereed significant and original research papers. However a limited number of carefully selected survey and expository papers are also included, and special issues devoted to Proceedings of meetings in the field as well as to Festschrifts.
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7402 руб.

This text is intended as a one semester introduction to algebraic topology at the undergraduate and beginning graduate levels. Basically, it covers simplicial homology theory, the fundamental group, covering spaces, the higher homotopy groups and introductory singular homology theory. The text follows a broad historical outline and uses the proofs of the discoverers of the important theorems when this is consistent with the elementary level of the course. This method of presentation is intended to reduce the abstract nature of algebraic topology to a level that is palatable for the beginning student and to provide motivation and cohesion that are often lacking in abstact treatments. The text emphasizes the geometric approach to algebraic topology and attempts to show the importance of topological concepts by applying them to problems of geometry and analysis. The prerequisites for this course are calculus at the sophomore level, a one semester introduction to the theory of groups, a one semester introduc tion to point-set topology and some familiarity with vector spaces. Outlines of the prerequisite material can be found in the appendices at the end of the text. It is suggested that the reader not spend time initially working on the appendices, but rather that he read from the beginning of the text, referring to the appendices as his memory needs refreshing. The text is designed for use by college juniors of normal intelligence and does not require "mathematical maturity...
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3314 руб.

The aim of this book is to familiarize the reader with fundamental topics in number theory: theory of divisibility, arithmetrical functions, prime numbers, geometry of numbers, additive number theory, probabilistic number theory, theory of Diophantine approximations and algebraic number theory. The author tries to show the connection between number theory and other branches of mathematics with the resultant tools adopted in the book ranging from algebra to probability theory, but without exceeding the undergraduate students who wish to be acquainted with number theory, graduate students intending to specialize in this field and researchers requiring the present state of knowledge.
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2246.13 руб.

Work and family concerns are increasingly on the radar of colleges and universities. These concerns emerge out of workplace norms suggesting that for employees and students to be successful, they must be “ideal workers”. This volume explores work norms in higher education, focusing on the ways that employees and students interpret and experience ideal worker expectations in light of family responsibilities. Chapters address how the ideal worker norms vary for tenured and non-tenure track faculty, administrators, undergraduate and graduate students, and offers recommendations for modifying work norms to promote work-family balance for all constituents. This is the 176th volume of the Jossey-Bass quarterly report series New Directions for Higher Education. Addressed to presidents, vice presidents, deans, and other higher education decision makers on all kinds of campuses, it provides timely information and authoritative advice about major issues and administrative problems confronting every institution.
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5789 руб.

The first edition of the combined monograph and textbook Probabilistic Methods in the Theory of Structures was published by Wiley-Interscience in 1983. 1n 1999, Dover Publications, Inc. published its second edition under shorter title Probabilistic Theory of Structures. Now, World Scientific has expanded into a 3rd edition to include Problems with Complete Worked-Through Solutions. This compendium of solutions was written in response to requests by numerous university educators around the world, since it has been adopted as a textbook or an additional reading for both undergraduate and graduate courses.The author hopes that the availability of such solutions manual will further help to establish the courses dealing with probabilistic strength of materials, design, random buckling, and random vibration. The material itself was developed by author for various undergraduate and graduate courses, during years 1972–1989 at the Technion — Israel Institute of Technology, in Haifa, Israel, at the Delft University of Technology in the Netherlands, year 1979/80 at the University of Notre Dame, Indiana, USA and at the Florida Atlantic University, USA since 1994.Already since mid-eighties, the author was informed that the book was adopted in numerous universities worldwide. Besides complete solutions to more than one hundred problems, additional material and remarks are included as Chapter 12, bringing some ideas down to the "number" level.It is strongly hoped that this manual wi...
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3677 руб.

In recent years there has been an increasing use of logical methods and significant new developments have been spawned in several areas of computer science, ranging from artificial intelligence and software engineering to agent-based systems and the semantic web. In the investigation and application of logical methods there is a tension between:* the need for a representational language strong enough to express domainknowledge of a particular application, and the need for a logical formalism general enough to unify several reasoning facilities relevant to the application, on the one hand, and* the need to enable computationally feasible reasoning facilities,on the other hand.Second-order logics are very expressive and allow us to represent domainknowledge with ease, but there is a high price to pay for the expressiveness.Most second-order logics are incomplete and highly undecidable. It is the quantifiers which bind relation symbols that make second-order logics computationally unfriendly. It is therefore desirable to eliminate these second-order quantifiers, when this is mathematically possible; and often it is.If second-order quantifiers are eliminable we want to know under which conditions, we want to understand the principles and we want to develop methods for second-order quantifier elimination.This book provides the first comprehensive, systematic and uniform account of the state-of-the-art of second-order quantifier elimination in classical and non-classical logics. It...
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2452 руб.

2014 Reprint of 1962 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. In mathematics, an analytic function is a function that is locally given by a convergent power series. There exist both real analytic functions and complex analytic functions, categories that are similar in some ways, but different in others. Functions of each type are infinitely differentiable, but complex analytic functions exhibit properties that do not hold generally for real analytic functions. The richness of material provided in Vekua's book should make it an excellent reference book, but a reader who is interested only in getting a brief and concise idea about the basic facts of GAF may find himself lost in the bulk of material especially since 129 pages of hard analysis precede the introduction of the GAF. The book presupposes some knowledge of Lebesgue integration and the elements of functional analysis.
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3777 руб.

Written by international award-winning probability expert Henk Tijms, Basic Probability: What Every Math Student Should Know presents the essentials of elementary probability. The book is primarily written for high school and college students learning about probability for the first time. In a highly accessible way, a modern treatment of the subject is given with emphasis on conditional probability and Bayesian probability, on striking applications of the Poisson distribution, and on the interface between probability and computer simulation.In modern society, it is important to be able to critically evaluate statements of a probabilistic nature presented in the media in order to make informed judgments. A basic knowledge of probability theory is indispensable to logical thinking and statistical literacy. The book provides this knowledge and illustrates it with numerous everyday situations.
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5562.12 руб.

Saul Kripke has been a major influence on analytic philosophy and allied fields for a half-century and more. His early masterpiece, Naming and Necessity, reversed the pattern of two centuries of philosophizing about the necessary and the contingent. Although much of his work remains unpublished, several major essays have now appeared in print, most recently in his long-awaited collection Philosophical Troubles. In this book Kripke’s long-time colleague, the logician and philosopher John P. Burgess, offers a thorough and self-contained guide to all of Kripke’s published books and his most important philosophical papers, old and new. It also provides an authoritative but non-technical account of Kripke’s influential contributions to the study of modal logic and logical paradoxes. Although Kripke has been anything but a system-builder, Burgess expertly uncovers the connections between different parts of his oeuvre. Kripke is shown grappling, often in opposition to existing traditions, with mysteries surrounding the nature of necessity, rule-following, and the conscious mind, as well as with intricate and intriguing puzzles about identity, belief and self-reference. Clearly contextualizing the full range of Kripke’s work, Burgess outlines, summarizes and surveys the issues raised by each of the philosopher’s major publications. Kripke will be essential reading for anyone interested in the work of one of analytic philosophy’s greatest living thinkers.
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5689 руб.

System of logic and history of logical doctrines is an unchanged, high-quality reprint of the original edition of 1871.Hansebooks is editor of the literature on different topic areas such as research and science, travel and expeditions, cooking and nutrition, medicine, and other genres.As a publisher we focus on the preservation of historical literature.Many works of historical writers and scientists are available today as antiques only. Hansebooks newly publishes these books and contributes to the preservation of literature which has become rare and historical knowledge for the future.
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11155.66 руб.

Quality in Laboratory Hemostasis and Thrombosis Second Edition Edited by Steve Kitchen, Clinical Scientist, Sheffield Haemophilia and Thrombosis Centre, Royal Hallamshire Hospital and Scientific Director, UK National External Quality Assessment Scheme (FQAS) for Blood Coagulation, Scientific Director, WHO and WFH International External Quality Assessment Programs for Blood Coagulation, Sheffield, UK John D Olson, Professor and Vice Chair for Clinical Affairs, Department of Pathology, University of Texas Health Sciences Centre, San Antonio, Texas, USA F. Eric Preston, Emeritus Professsor of Haematology, University of Sheffield and Director, WHO and WFH International External Quality Assessment Programs for Blood Coagulations, Sheffield, UK The hemostasis laboratory has a vital role in the diagnosis and management of patients with familial and acquired hemorrhagic and thrombotic disorders. Rapid changes in the number and complexity of tests in this discipline have presented challenges for laboratories, as they develop quality programs for the oversight of this testing. Quality in Laboratory Hemostasis and Thrombosis has been completely revised and updated to reflect the changing process of managing quality. The second edition provides information on all aspects of testing, from pre-analytic to analytic and result reporting, in addition to external quality assurance. Chapters throughout the book include the development of global guidelines for methods, as well as the preparation of international standard plasmas and reagents. Designed to capture the elements of quality at all levels of the practice of laboratory hemostasis and thrombosis, this book will guide the reader through the development of a quality program to support all activities in the hemostasis laboratory, both simple and complex. Titles of related interest Lee: Textbook of Hemophilia, 2e (2010) ISBN 9781405169141 Federici: Von Willebrand Disease: Basic and Clinical Aspects, 1e (2011) ISBN 9781405195126 Ma: Hemophilia and Hemostasis: A Case Based Approach to Management, 2e (2012) ISBN 9780470659762
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14099.29 руб.

This complete resource on the theory and applications of reliability engineering, probabilistic models and risk analysis consolidates all the latest research, presenting the most up-to-date developments in this field. With comprehensive coverage of the theoretical and practical issues of both classic and modern topics, it also provides a unique commemoration to the centennial of the birth of Boris Gnedenko, one of the most prominent reliability scientists of the twentieth century. Key features include: expert treatment of probabilistic models and statistical inference from leading scientists, researchers and practitioners in their respective reliability fields detailed coverage of multi-state system reliability, maintenance models, statistical inference in reliability, systemability, physics of failures and reliability demonstration many examples and engineering case studies to illustrate the theoretical results and their practical applications in industry Applied Reliability Engineering and Risk Analysis is one of the first works to treat the important areas of degradation analysis, multi-state system reliability, networks and large-scale systems in one comprehensive volume. It is an essential reference for engineers and scientists involved in reliability analysis, applied probability and statistics, reliability engineering and maintenance, logistics, and quality control. It is also a useful resource for graduate students specialising in reliability analysis and applied probability and statistics. Dedicated to the Centennial of the birth of Boris Gnedenko, renowned Russian mathematician and reliability theorist
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16496.83 руб.

Processing and Nutrition of Fats and Oils reviews current and new practices of fats and oils production. The book examines the different aspects of fats and oils processing, how the nutritional properties are affected, and how fats interact with other components and nutrients in food products. Coverage includes current trends in the consumption of edible fats and oils; properties of fats, oils and bioactive lipids; techniques to process and modify edible oils; nutritional aspects of lipids; and regulatory aspects, labeling and certifications of fats and oils in foods.
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10845.5 руб.

Comprehensive coverage of all aspects of space application oriented fault tolerance techniques • Experienced expert author working on fault tolerance for Chinese space program for almost three decades • Initiatively provides a systematic texts for the cutting-edge fault tolerance techniques in spacecraft control computer, with emphasis on practical engineering knowledge • Presents fundamental and advanced theories and technologies in a logical and easy-to-understand manner • Beneficial to readers inside and outside the area of space applications
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6357.27 руб.

Explore the practices and cutting-edge research on the new and exciting topic of paradata Paradata are measurements related to the process of collecting survey data. Improving Surveys with Paradata: Analytic Uses of Process Information is the most accessible and comprehensive contribution to this up-and-coming area in survey methodology. Featuring contributions from leading experts in the field, Improving Surveys with Paradata: Analytic Uses of Process Information introduces and reviews issues involved in the collection and analysis of paradata. The book presents readers with an overview of the indispensable techniques and new, innovative research on improving survey quality and total survey error. Along with several case studies, topics include: Using paradata to monitor fieldwork activity in face-to-face, telephone, and web surveys Guiding intervention decisions during data collection Analysis of measurement, nonresponse, and coverage error via paradata Providing a practical, encompassing guide to the subject of paradata, the book is aimed at both producers and users of survey data. Improving Surveys with Paradata: Analytic Uses of Process The book also serves as an excellent resource for courses on data collection, survey methodology, and nonresponse and measurement error.
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6089 руб.

The twenty-first century is characterized by the global circulation of cultures, norms, representations, discourses, and human rights claims; the arising conflicts require innovative understandings of decision making. Deliberative Acts develops a new, cogent theory of performative deliberation. Rather than conceiving deliberation within the familiar frameworks of persuasion, identification, or procedural democracy, it privileges speech acts and bodily enactments that constitute deliberation itself, reorienting deliberative theory toward the initiating moment of recognition, a moment in which interlocutors are positioned in relationship to each other and so may begin to construct a new lifeworld. By approaching human rights not as norms or laws, but as deliberative acts, Lyon conceives rights as relationships among people and as ongoing political and historical projects developing communal norms through global and cross-cultural interactions.
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952 руб.

2015 Reprint of 1922 Edition. Full facsimile of the original edition. Not reproduced with Optical Recognition Software. The "Tractatus Logico-Philosophicus" (Latin for "Logical-Philosophical Treatise") is the only book-length philosophical work published by the German-Austrian philosopher Ludwig Wittgenstein in his lifetime. It was an ambitious project - to identify the relationship between language and reality and to define the limits of science - and is recognized as a significant philosophical work of the twentieth century. Considered by some to be the greatest philosopher of the 20th century, Ludwig Wittgenstein played a central, if controversial, role in 20th-century analytic philosophy. He continues to influence current philosophical thought in topics as diverse as logic and language, perception and intention, ethics and religion, aesthetics and culture. Contains an introduction by Bertrand Russell. Praise for the Third Edition “Researchers of any kind of extremal combinatorics or theoretical computer science will welcome the new edition of this book.” – MAA Reviews Maintaining a standard of excellence that establishes The Probabilistic Method as the leading reference on probabilistic methods in combinatorics, the Fourth Edition continues to feature a clear writing style, illustrative examples, and illuminating exercises. The new edition includes numerous updates to reflect the most recent developments and advances in discrete mathematics and the connections to other areas in mathematics, theoretical computer science, and statistical physics. Emphasizing the methodology and techniques that enable problem-solving, The Probabilistic Method, Fourth Edition begins with a description of tools applied to probabilistic arguments, including basic techniques that use expectation and variance as well as the more advanced applications of martingales and correlation inequalities. The authors explore where probabilistic techniques have been applied successfully and also examine topical coverage such as discrepancy and random graphs, circuit complexity, computational geometry, and derandomization of randomized algorithms. Written by two well-known authorities in the field, the Fourth Edition features: Additional exercises throughout with hints and solutions to select problems in an appendix to help readers obtain a deeper understanding of the best methods and techniques New coverage on topics such as the Local Lemma, Six Standard Deviations result in Discrepancy Theory, Property B, and graph limits Updated sections to reflect major developments on the newest topics, discussions of the hypergraph container method, and many new references and improved results The Probabilistic Method, Fourth Edition is an ideal textbook for upper-undergraduate and graduate-level students majoring in mathematics, computer science, operations research, and statistics. The Fourth Edition is also an excellent reference for researchers and combinatorists who use probabilistic methods, discrete mathematics, and number theory. Noga Alon, PhD, is Baumritter Professor of Mathematics and Computer Science at Tel Aviv University. He is a member of the Israel National Academy of Sciences and Academia Europaea. A coeditor of the journal Random Structures and Algorithms, Dr. Alon is the recipient of the Polya Prize, The Gödel Prize, The Israel Prize, and the EMET Prize. Joel H. Spencer, PhD, is Professor of Mathematics and Computer Science at the Courant Institute of New York University. He is the cofounder and coeditor of the journal Random Structures and Algorithms and is a Sloane Foundation Fellow. Dr. Spencer has written more than 200 published articles and is the coauthor of Ramsey Theory, Second Edition, also published by Wiley.