Download or read book On the Correlation of Multiplicative and the Sum of Additive Arithmetic Functions written by Peter D. T. A. Elliott and published by American Mathematical Soc.. This book was released on 1994 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: The correlation of multiplicative arithmetic functions on distinct arithmetic progressions and with values in the complex unit disc, cannot be continually near to its possible maximum unless each function is either very close to or very far from a generalized character. Moreover, under accessible condition the second possibility can be ruled out. As a consequence analogs of the standard limit theorems in probabilistic number theory are obtained with the classical single additive function on the integers replaced by a sum of two additive functions on distinct arithmetic progressions.
Download or read book Functions of Composition written by Vito Volterra and published by . This book was released on 1920 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Null Additive Set Functions written by Endre Pap and published by Springer. This book was released on 1995-09-30 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pap (mathematics, U. of Novi Sad, Yugoslavia) presents a unified approach to the mathematical theory of a wide class of non- additive set functions called null-additive, which also includes classical measure theory. Among the set functions he considers are capacities, triangular set functions, some fuzzy measures, submeasures, decomposable and possibility measures, distorted probabilities, and autocontinuous set functions. He also demonstrates the application of the theory in nonlinear differential and difference equations, the fractal geometry of chaos theory, the approximations of functions in modular spaces by nonlinear singular integral operators, and other contexts. For researchers in mathematics, artificial intelligence, statistics, and related fields. Annotation copyright by Book News, Inc., Portland, OR
Download or read book Multiple Criteria Decision Analysis State of the Art Surveys written by José Figueira and published by Springer Science & Business Media. This book was released on 2005 with total page 1100 pages. Available in PDF, EPUB and Kindle. Book excerpt: MULTIPLE CRITERIA DECISION ANALYSIS: State of the Art Surveys is the most comprehensive work available to survey the state of the art in MCDA to date. Its 25 chapters are organized in eight parts and are written by 52 international leading experts. Each of these parts covers one of the central streams of multiple criteria decision analysis literature. These literature streams are: MCDA today, Foundations of MCDA, Our Ranking Methods, Multiattribute Utility Theory, Non-Classical MCDA Approaches, Multiobjective Mathematical Programming, Applications, and MCDM Software. The handbook presents the most up-to-date discussions on well-established methodologies and theories in the field, while systematically surveying emerging fields in MCDA such as conjoint measurement, fuzzy preferences, fuzzy integrals, rough sets, etc. MULTIPLE CRITERIA DECISION ANALYSIS: State of the Art Surveys is a valuable reference volume (more than 2000 references) for the field of decision analysis. It provides graduate students, researchers, and practitioners with a sweeping survey of MCDA theory, methodologies, and applications. It is a handbook that is particularly suitable for use in seminars in Decision Analysis, Decision Support, and Decision Theory.
Download or read book Food Additive Toxicology written by Maga and published by CRC Press. This book was released on 1994-09-13 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Provides both historical information and the latest toxicological data on various classes of food additives--examining the production, application, and safety of numerous compounds used to enhance and preserve the quality of foods."
Download or read book Aggregation Functions in Theory and in Practise written by Humberto Bustince Sola and published by Springer Science & Business Media. This book was released on 2013-06-20 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects the extended abstracts of 45 contributions of participants to the Seventh International Summer School on Aggregation Operators (AGOP 2013), held at Pamplona in July, 16-20, 2013. These contributions cover a very broad range, from the purely theoretical ones to those with a more applied focus. Moreover, the summaries of the plenary talks and tutorials given at the same workshop are included. Together they provide a good overview of recent trends in research in aggregation functions which can be of interest to both researchers in Physics or Mathematics working on the theoretical basis of aggregation functions, and to engineers who require them for applications.
Download or read book An Introduction to the Theory of Point Processes written by D.J. Daley and published by Springer Science & Business Media. This book was released on 2003-11-14 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: Point processes and random measures find wide applicability in telecommunications, earthquakes, image analysis, spatial point patterns, and stereology, to name but a few areas. The authors have made a major reshaping of their work in their first edition of 1988 and now present their Introduction to the Theory of Point Processes in two volumes with sub-titles Elementary Theory and Models and General Theory and Structure. Volume One contains the introductory chapters from the first edition, together with an informal treatment of some of the later material intended to make it more accessible to readers primarily interested in models and applications. The main new material in this volume relates to marked point processes and to processes evolving in time, where the conditional intensity methodology provides a basis for model building, inference, and prediction. There are abundant examples whose purpose is both didactic and to illustrate further applications of the ideas and models that are the main substance of the text.
Download or read book Theory of Functions of a Real Variable written by I.P. Natanson and published by Courier Dover Publications. This book was released on 2016-08-17 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: Long out-of-print volume by a prominent Soviet mathematician presents a thorough examination of the theory of functions of a real variable. Intended for advanced undergraduates and graduate students of mathematics. 1955 and 1960 editions.
Download or read book Additive Alert written by Julie Eady and published by Woodslane Press. This book was released on 2019-07-01 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: Australia today is facing a health crisis such as we have never seen before. Rates of cancer, obesity, diabetes, asthma, ADHD and behavioural disorders in our children are all alarmingly high. What is happening and what can we do to safeguard our own health and the health of our children? Our diets must be part of the problem and fixing our diets must be a large part of the solution. The use of food additives in our everyday foods has increased so rapidly over the past 50 years that it is getting difficult to find foods which are additive free. Although most food additives are safe, there are many which are known to be harmful. Additive Alert will tell you quickly and easily which ones you need to avoid and why.
Download or read book Introduction to Analytic and Probabilistic Number Theory written by G. Tenenbaum and published by Cambridge University Press. This book was released on 1995-06-30 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a self-contained introduction to analytic methods in number theory, assuming on the part of the reader only what is typically learned in a standard undergraduate degree course. It offers to students and those beginning research a systematic and consistent account of the subject but will also be a convenient resource and reference for more experienced mathematicians. These aspects are aided by the inclusion at the end of each chapter a section of bibliographic notes and detailed exercises.
Download or read book Additive Functions written by Ridge W. McNeir and published by . This book was released on 1963 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Measure Integration and Function Spaces written by Charles Swartz and published by World Scientific. This book was released on 1994 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text contains a basic introduction to the abstract measure theory and the Lebesgue integral. Most of the standard topics in the measure and integration theory are discussed. In addition, topics on the Hewitt-Yosida decomposition, the Nikodym and Vitali-Hahn-Saks theorems and material on finitely additive set functions not contained in standard texts are explored. There is an introductory section on functional analysis, including the three basic principles, which is used to discuss many of the classic Banach spaces of functions and their duals. There is also a chapter on Hilbert space and the Fourier transform.
Download or read book Essential Guide to Food Additives written by Mike Saltmarsh and published by Royal Society of Chemistry. This book was released on 2019-08-01 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: Food additives have played and still play an essential role in the food industry. Additives span a great range from simple materials like sodium bicarbonate, essential in the kitchen for making cakes, to mono- and diglycerides of fatty acids, an essential emulsifier in low fat spreads and in bread. It has been popular to criticise food additives, and in so doing, to lump them all together, but this approach ignores their diversity of history, source and use. This book includes food additives and why they are used, safety of food additives in Europe, additive legislation within the EU and outside Europe and the complete listing of all additives permitted in the EU. The law covering food additives in the EU which was first harmonised in 1989 has been amended frequently since then, but has now been consolidated with the publication of Regulations 1331/2008 and 1129/2011. This 4th edition of the Guide brings it up to date with the changes introduced by this legislation and by the ongoing review of additives by EFSA. Providing an invaluable resource for food and drink manufacturers, this book is the only work covering in detail every additive, its sources and uses. Those working in and around the food industry, students of food science and indeed anyone with an interest in what is added to their food will find this a practical book full of fascinating details.
Download or read book Mathematical Programming The State of the Art written by A. Bachem and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the late forties, Mathematical Programming became a scientific discipline in its own right. Since then it has experienced a tremendous growth. Beginning with economic and military applications, it is now among the most important fields of applied mathematics with extensive use in engineering, natural sciences, economics, and biological sciences. The lively activity in this area is demonstrated by the fact that as early as 1949 the first "Symposium on Mathe matical Programming" took place in Chicago. Since then mathematical programmers from all over the world have gath ered at the intfrnational symposia of the Mathematical Programming Society roughly every three years to present their recent research, to exchange ideas with their colleagues and to learn about the latest developments in their own and related fields. In 1982, the XI. International Symposium on Mathematical Programming was held at the University of Bonn, W. Germany, from August 23 to 27. It was organized by the Institut fUr Okonometrie und Operations Re search of the University of Bonn in collaboration with the Sonderforschungs bereich 21 of the Deutsche Forschungsgemeinschaft. This volume constitutes part of the outgrowth of this symposium and docu ments its scientific activities. Part I of the book contains information about the symposium, welcoming addresses, lists of committees and sponsors and a brief review about the Ful kerson Prize and the Dantzig Prize which were awarded during the opening ceremony.
Download or read book Operator Relations Characterizing Derivatives written by Hermann König and published by Springer. This book was released on 2018-10-03 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph develops an operator viewpoint for functional equations in classical function spaces of analysis, thus filling a void in the mathematical literature. Major constructions or operations in analysis are often characterized by some elementary properties, relations or equations which they satisfy. The authors present recent results on the problem to what extent the derivative is characterized by equations such as the Leibniz rule or the Chain rule operator equation in Ck-spaces. By localization, these operator equations turn into specific functional equations which the authors then solve. The second derivative, Sturm-Liouville operators and the Laplacian motivate the study of certain "second-order" operator equations. Additionally, the authors determine the general solution of these operator equations under weak assumptions of non-degeneration. In their approach, operators are not required to be linear, and the authors also try to avoid continuity conditions. The Leibniz rule, the Chain rule and its extensions turn out to be stable under perturbations and relaxations of assumptions on the form of the operators. The results yield an algebraic understanding of first- and second-order differential operators. Because the authors have chosen to characterize the derivative by algebraic relations, the rich operator-type structure behind the fundamental notion of the derivative and its relatives in analysis is discovered and explored. The book does not require any specific knowledge of functional equations. All needed results are presented and proven and the book is addressed to a general mathematical audience.
Download or read book Duality in Analytic Number Theory written by Peter D. T. A. Elliott and published by Cambridge University Press. This book was released on 1997-02-13 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this stimulating book, aimed at researchers both established and budding, Peter Elliott demonstrates a method and a motivating philosophy that combine to cohere a large part of analytic number theory, including the hitherto nebulous study of arithmetic functions. Besides its application, the book also illustrates a way of thinking mathematically: historical background is woven into the narrative, variant proofs illustrate obstructions, false steps and the development of insight, in a manner reminiscent of Euler. It is shown how to formulate theorems as well as how to construct their proofs. Elementary notions from functional analysis, Fourier analysis, functional equations and stability in mechanics are controlled by a geometric view and synthesized to provide an arithmetical analogue of classical harmonic analysis that is powerful enough to establish arithmetic propositions until now beyond reach. Connections with other branches of analysis are illustrated by over 250 exercises, structured in chains about individual topics.
Download or read book American Journal of Mathematics written by and published by . This book was released on 1927 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: The American Journal of Mathematics publishes research papers and articles of broad appeal covering the major areas of contemporary mathematics.
