This book is the first of a series which focuses on the interpolation and extrapolation of optimal designs, an area with significant applications in engineering, physics, chemistry and most experimental fields.
In this volume, the authors emphasize the importance of problems associated with the construction of design. After a brief introduction on how the theory of optimal designs meets the theory of the uniform approximation of functions, the authors introduce the basic elements to design planning and link the statistical theory of optimal design and the theory of the uniform approximation of functions.
The appendices provide the reader with material to accompany the proofs discussed throughout the book.
Автор: Vladimir V. Andrievskii; Hans-Peter Blatt Название: Discrepancy of Signed Measures and Polynomial Approximation ISBN: 1441931465 ISBN-13(EAN): 9781441931467 Издательство: Springer Рейтинг: Цена: 172350.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: A concise outline of the basic facts of potential theory and quasiconformal mappings makes this book an ideal introduction for non-experts who want to get an idea of applications of potential theory and geometric function theory in various fields of construction analysis.
Автор: Manfred Reimer Название: Multivariate Polynomial Approximation ISBN: 3034894368 ISBN-13(EAN): 9783034894364 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book introduces general theory by presenting the most important facts on multivariate interpolation, quadrature, orthogonal projections and their summation, all treated under a constructive view, and embedded in the theory of positive linear operators.
Автор: Yengui, Ihsen Название: Constructive commutative algebra ISBN: 3319194933 ISBN-13(EAN): 9783319194936 Издательство: Springer Рейтинг: Цена: 41920.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
The main goal of this book is to find the constructive content hidden in abstract proofs of concrete theorems in Commutative Algebra, especially in well-known theorems concerning projective modules over polynomial rings (mainly the Quillen-Suslin theorem) and syzygies of multivariate polynomials with coefficients in a valuation ring.
Simple and constructive proofs of some results in the theory of projective modules over polynomial rings are also given, and light is cast upon recent progress on the Hermite ring and Gr bner ring conjectures. New conjectures on unimodular completion arising from our constructive approach to the unimodular completion problem are presented.
Constructive algebra can be understood as a first preprocessing step for computer algebra that leads to the discovery of general algorithms, even if they are sometimes not efficient. From a logical point of view, the dynamical evaluation gives a constructive substitute for two highly nonconstructive tools of abstract algebra: the Law of Excluded Middle and Zorn's Lemma. For instance, these tools are required in order to construct the complete prime factorization of an ideal in a Dedekind ring, whereas the dynamical method reveals the computational content of this construction. These lecture notes follow this dynamical philosophy.
Автор: Vui Ha Huy Et Al Название: Genericity In Polynomial Optimization ISBN: 1786342219 ISBN-13(EAN): 9781786342218 Издательство: World Scientific Publishing Цена: 77090.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
In full generality, minimizing a polynomial function over a closed semi-algebraic set requires complex mathematical equations. This book explains recent developments from singularity theory and semi-algebraic geometry for studying polynomial optimization problems. Classes of generic problems are defined in a simple and elegant manner by using only the two basic (and relatively simple) notions of Newton polyhedron and non-degeneracy conditions associated with a given polynomial optimization problem. These conditions are well known in singularity theory, however, they are rarely considered within the optimization community.
Explanations focus on critical points and tangencies of polynomial optimization, HOlderian error bounds for polynomial systems, Frank-Wolfe-type theorem for polynomial programs and well-posedness in polynomial optimization. It then goes on to look at optimization for the different types of polynomials. Through this text graduate students, PhD students and researchers of mathematics will be provided with the knowledge necessary to use semi-algebraic geometry in optimization.
Автор: Mass Per Pettersson; Gianluca Iaccarino; Jan Nords Название: Polynomial Chaos Methods for Hyperbolic Partial Differential Equations ISBN: 3319107135 ISBN-13(EAN): 9783319107134 Издательство: Springer Рейтинг: Цена: 104480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Polynomial Chaos Methods for Hyperbolic Partial Differential Equations
Автор: Miguel F. Anjos; Jean B. Lasserre Название: Handbook on Semidefinite, Conic and Polynomial Optimization ISBN: 1489978038 ISBN-13(EAN): 9781489978035 Издательство: Springer Рейтинг: Цена: 222670.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book offers the reader a snapshot of the state-of-the-art in the growing and mutually enriching areas of semidefinite optimization, conic optimization and polynomial optimization. It covers theory, algorithms, software and applications.
Автор: N.Z. Shor Название: Nondifferentiable Optimization and Polynomial Problems ISBN: 0792349970 ISBN-13(EAN): 9780792349976 Издательство: Springer Рейтинг: Цена: 181630.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This work is devoted to an investigation of polynomial optimization problems, including Boolean problems which are the most important part of mathematical programming. It demonstrates methods of nondifferentiable optimization that can be used for finding solutions to many polynomial problems.
Автор: Graziano Chesi; Andrea Garulli; Alberto Tesi; Anto Название: Homogeneous Polynomial Forms for Robustness Analysis of Uncertain Systems ISBN: 1848827806 ISBN-13(EAN): 9781848827806 Издательство: Springer Рейтинг: Цена: 111790.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book presents a number of techniques for robustness analysis of uncertain systems. In it, convex relaxations for several robustness problems are derived by exploiting and providing new results on the theory of homogenous polynomial forms.
Автор: E.V. Krishnamurthy Название: Error-Free Polynomial Matrix Computations ISBN: 1461295726 ISBN-13(EAN): 9781461295723 Издательство: Springer Рейтинг: Цена: 107130.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book is written as an introduction to polynomial matrix computa- tions. This book is intended for seniors and graduate students in computer and system sciences, and mathematics, and for researchers in the fields of computer science, numerical analysis, systems theory, and computer algebra.
Автор: Ronald de Haan Название: Parameterized Complexity in the Polynomial Hierarchy ISBN: 3662606690 ISBN-13(EAN): 9783662606698 Издательство: Springer Рейтинг: Цена: 68930.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: For problems at higher levels of the PH, a promising solving approach is to develop fixed-parameter tractable reductions to SAT, and to subsequently use a SAT solving algorithm to solve the problem.
Автор: Lucian Trifina; Daniela Tarniceriu Название: Permutation Polynomial Interleavers for Turbo Codes ISBN: 9811347980 ISBN-13(EAN): 9789811347986 Издательство: Springer Рейтинг: Цена: 139750.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book investigates the permutation polynomial (PP) based interleavers for turbo codes, including all the main theoretical and practical findings related to topics such as full coefficient conditions for PPs up to fifth; the number of all true different PPs up to fifth degree; the number of true different PPs under Zhao and Fan sufficient conditions, for any degree (with direct formulas or with a simple algorithm); parallel decoding of turbo codes using PP interleavers by butterfly networks; upper bounds of the minimum distance for turbo codes with PP interleavers; specific methods to design and find PP interleavers with good bit/frame error rate (BER/FER) performance. The theoretical results are explained in great detail to enhance readers’ understanding. The book is intended for engineers in the telecommunications field, but the chapters dealing with the PP coefficient conditions and with the number of PP are of interest to mathematicians working in the field.
Казахстан, 010000 г. Астана, проспект Туран 43/5, НП2 (офис 2) ТОО "Логобук" Тел:+7 707 857-29-98 ,+7(7172) 65-23-70 www.logobook.kz