Download or read book Quantitative Approximations written by George Anastassiou and published by CRC Press. This book was released on 2000-09-15 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantitative approximation methods apply in many diverse fields of research-neural networks, wavelets, partial differential equations, probability and statistics, functional analysis, and classical analysis to name just a few. For the first time in book form, Quantitative Approximations provides a thorough account of all of the significant developments in the area of contemporary quantitative mathematics. It offers readers the unique opportunity of approaching the field under the guidance of an expert. Among the book's outstanding features is the inclusion of the introductory chapter that summarizes the primary and most useful results. This section serves not only as a more detailed table of contents for those new to an area of application, but also as a quick reference for more seasoned researchers. The author describes all of the pertinent mathematical entities precisely and concretely. His approach and proofs are straightforward and constructive, making Quantitative Approximations accessible and valuable to researchers and graduate students alike.

Download or read book Quantitative Approximations written by George A. Anastassiou and published by Chapman and Hall/CRC. This book was released on 2000 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantitative approximation methods apply in many diverse fields of research-neural networks, wavelets, partial differential equations, probability and statistics, functional analysis, and classical analysis to name just a few. For the first time in book form, Quantitative Approximations provides a thorough account of all of the significant developments in the area of contemporary quantitative mathematics. It offers readers the unique opportunity of approaching the field under the guidance of an expert.Among the book's outstanding features is the inclusion of the introductory chapter that summarizes the primary and most useful results. This section serves not only as a more detailed table of contents for those new to an area of application, but also as a quick reference for more seasoned researchers.The author describes all of the pertinent mathematical entities precisely and concretely. His approach and proofs are straightforward and constructive, making Quantitative Approximations accessible and valuable to researchers and graduate students alike.

Download or read book Quantitative Approximation written by Ronald A. Devore and published by Academic Press. This book was released on 2014-05-10 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantitative Approximation provides information pertinent to nonlinear approximation, including rational approximation and optimal knot spline approximation. This book discusses spline approximation with the most emphasis on multivariate and knot independent questions. Organized into 26 chapters, this book begins with an overview of the inequality for the sharp function in terms of the maximal rearrangement. This text then examines the best co-approximation in a Hilbert space wherein the existence ad uniqueness sets are the closed flats. Other chapters consider the inverse of the coefficient matrix for the system satisfied by the B-spline coefficients of the cubic spline interpolant at knots. This book discusses as well the relationship between the structural properties of a function and its degree of approximation by rational functions. The final chapter deals with the problem of existence of continuous selections for metric projections and provides a solution for this problem. This book is a valuable resource for mathematicians.

Download or read book Ordinary and Fractional Approximation by Non additive Integrals Choquet Shilkret and Sugeno Integral Approximators written by George A. Anastassiou and published by Springer. This book was released on 2018-12-07 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ordinary and fractional approximations by non-additive integrals, especially by integral approximators of Choquet, Silkret and Sugeno types, are a new trend in approximation theory. These integrals are only subadditive and only the first two are positive linear, and they produce very fast and flexible approximations based on limited data. The author presents both the univariate and multivariate cases. The involved set functions are much weaker forms of the Lebesgue measure and they were conceived to fulfill the needs of economic theory and other applied sciences. The approaches presented here are original, and all chapters are self-contained and can be read independently. Moreover, the book’s findings are sure to find application in many areas of pure and applied mathematics, especially in approximation theory, numerical analysis and mathematical economics (both ordinary and fractional). Accordingly, it offers a unique resource for researchers, graduate students, and for coursework in the above-mentioned fields, and belongs in all science and engineering libraries.

Download or read book Intelligent Comparisons II Operator Inequalities and Approximations written by George A. Anastassiou and published by Springer. This book was released on 2017-01-13 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This compact book focuses on self-adjoint operators’ well-known named inequalities and Korovkin approximation theory, both in a Hilbert space environment. It is the first book to study these aspects, and all chapters are self-contained and can be read independently. Further, each chapter includes an extensive list of references for further reading. The book’s results are expected to find applications in many areas of pure and applied mathematics. Given its concise format, it is especially suitable for use in related graduate classes and research projects. As such, the book offers a valuable resource for researchers and graduate students alike, as well as a key addition to all science and engineering libraries.

Download or read book Statistical Mechanics of Learning written by A. Engel and published by Cambridge University Press. This book was released on 2001-03-29 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learning is one of the things that humans do naturally, and it has always been a challenge for us to understand the process. Nowadays this challenge has another dimension as we try to build machines that are able to learn and to undertake tasks such as datamining, image processing and pattern recognition. We can formulate a simple framework, artificial neural networks, in which learning from examples may be described and understood. The contribution to this subject made over the last decade by researchers applying the techniques of statistical mechanics is the subject of this book. The authors provide a coherent account of various important concepts and techniques that are currently only found scattered in papers, supplement this with background material in mathematics and physics and include many examples and exercises to make a book that can be used with courses, or for self-teaching, or as a handy reference.

Download or read book Quantitative Approximation written by Ronald A. Devore and published by . This book was released on 1980 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Intelligent Analysis Fractional Inequalities and Approximations Expanded written by George A. Anastassiou and published by Springer Nature. This book was released on 2020-01-15 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on computational and fractional analysis, two areas that are very important in their own right, and which are used in a broad variety of real-world applications. We start with the important Iyengar type inequalities and we continue with Choquet integral analytical inequalities, which are involved in major applications in economics. In turn, we address the local fractional derivatives of Riemann–Liouville type and related results including inequalities. We examine the case of low order Riemann–Liouville fractional derivatives and inequalities without initial conditions, together with related approximations. In the next section, we discuss quantitative complex approximation theory by operators and various important complex fractional inequalities. We also cover the conformable fractional approximation of Csiszar’s well-known f-divergence, and present conformable fractional self-adjoint operator inequalities. We continue by investigating new local fractional M-derivatives that share all the basic properties of ordinary derivatives. In closing, we discuss the new complex multivariate Taylor formula with integral remainder. Sharing results that can be applied in various areas of pure and applied mathematics, the book offers a valuable resource for researchers and graduate students, and can be used to support seminars in related fields.

Download or read book Intelligent Computations Abstract Fractional Calculus Inequalities Approximations written by George A. Anastassiou and published by Springer. This book was released on 2017-09-02 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This brief book presents the strong fractional analysis of Banach space valued functions of a real domain. The book’s results are abstract in nature: analytic inequalities, Korovkin approximation of functions and neural network approximation. The chapters are self-contained and can be read independently. This concise book is suitable for use in related graduate classes and many research projects. An extensive list of references is provided for each chapter. The book’s results are relevant for many areas of pure and applied mathematics. As such, it offers a unique resource for researchers, and a valuable addition to all science and engineering libraries.

Download or read book The Journal of Philosophy Psychology and Scientific Methods written by and published by . This book was released on 1916 with total page 876 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Parametrized Deformed and General Neural Networks written by George A. Anastassiou and published by Springer Nature. This book was released on 2023-09-29 with total page 854 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we introduce the parametrized, deformed and general activation function of neural networks. The parametrized activation function kills much less neurons than the original one. The asymmetry of the brain is best expressed by deformed activation functions. Along with a great variety of activation functions, general activation functions are also engaged. Thus, in this book, all presented is original work by the author given at a very general level to cover a maximum number of different kinds of neural networks: giving ordinary, fractional, fuzzy and stochastic approximations. It presents here univariate, fractional and multivariate approximations. Iterated sequential multi-layer approximations are also studied. The functions under approximation and neural networks are Banach space valued.

Download or read book Drug Receptor Interactions in Antimicrobial Chemotherapy written by J. Drews and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of chemotherapy as originated by Paul Ehrlich is based on the premise that antiparasitic drugs must have two properties: they must first bind to specific structures of the parasite which Ehrlich called chemoreceptors. Subsequent to their attachment to the chemoreceptor and by virtue of this binding they must possess the capacity to kill the parasite. Since the host which is to be cured of an invading parasite also contains a large number of chemoreceptors, that have the potential to bind toxic compounds, the task of the chemo therapist is to identify chemoreceptors of the parasite which are . not represented in the host and to design drugs which bind selectively to them~ In this context, Ehrlich called· for "the complete and exhaustive knowledge of all the different chemoreceptors of a certain parasite" as a "sine qua non for success in chemotherapy". Paradoxically and in spite of the fact that chemotherapy has become a very advanced and successful therapeutic discipline, few of its tri umphs have been achieved by following Ehrlich's original precepts. On the contrary, in the overwhelming majority of cases, effective drugs have been discovered without any knowledge of their chemoreceptors, and these drugs themselves have conversely been used as tools to study the nature of the chemoreceptors involved. In other words: chemother apy, notably antibacterial chemotherapy, has been successful without ever living up to the fundamental standards put forward by Paul Ehr lich.

Download or read book Papers and Proceedings of the Annual Meeting of the American Economic Association written by American Economic Association. Annual Meeting and published by . This book was released on 1928 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Papers and Proceedings of the Annual Meeting written by American Economic Association and published by . This book was released on 1928 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The American economic review written by and published by . This book was released on 1928 with total page 1160 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Symposium on the Utilization of Research Reactors November 7 9 1963 Georgia Institute of Technology Atlanta Georgia written by and published by . This book was released on 1964 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book EBOOK Fluid Mechanics Fundamentals and Applications SI units written by Yunus Cengel and published by McGraw Hill. This book was released on 2013-10-16 with total page 1033 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid Mechanics: Fundamentals and Applications is written for the first fluid mechanics course for undergraduate engineering students, with sufficient material for a two-course sequence. This Third Edition in SI Units has the same objectives and goals as previous editions: Communicates directly with tomorrow’s engineers in a simple yet precise manner Covers the basic principles and equations of fluid mechanics in the context of numerous and diverse real-world engineering examples and applications Helps students develop an intuitive understanding of fluid mechanics by emphasizing the physical underpinning of processes and by utilizing numerous informative figures, photographs, and other visual aids to reinforce the basic concepts Encourages creative thinking, interest and enthusiasm for fluid mechanics New to this edition All figures and photographs are enhanced by a full color treatment. New photographs for conveying practical real-life applications of materials have been added throughout the book. New Application Spotlights have been added to the end of selected chapters to introduce industrial applications and exciting research projects being conducted by leaders in the field about material presented in the chapter. New sections on Biofluids have been added to Chapters 8 and 9. Addition of Fundamentals of Engineering (FE) exam-type problems to help students prepare for Professional Engineering exams.