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Orthogonal Series
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Download or read book The Clockwork Rocket written by Greg Egan and published by Start Publishing LLC. This book was released on 2011-07-01 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Yalda's universe, light has no universal speed and its creation generates energy. On Yalda's world, plants make food by emitting their own light into the dark night sky. As a child, Yalda witnesses one of a series of strange meteors, the Hurtlers, that are entering the planetary system at an immense, unprecedented speed. It becomes apparent that her world is in imminent danger — and the task of dealing with the Hurtlers will require knowledge and technology far beyond anything her civilization has yet achieved! Only one solution seems tenable: if a spacecraft can be sent on a journey at sufficiently high speed, its trip will last many generations for those on board, but it will return after just a few years have passed at home. The travelers will have a chance to discover the science their planet urgently needs, and bring it back in time to avert disaster.
Download or read book Orthogonal Series written by B. S. Kashin and published by American Mathematical Soc.. This book was released on 2005-04-26 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory concepts and some general results Independent functions and their first applications The Haar system Some results on the trigonometric and Walsh systems The Hilbert transform and some function spaces The Faber-Schauder and Franklin systems Orthogonalization and factorization theorems Theorems on the convergence of general orthogonal series General theorems on the divergence of orthogonal series Some theorems on the representation of functions by orthogonal series
Book Synopsis A Method of Averaging in the Theory of Orthogonal Series and Some Problems in the Theory of Bases by : Sergeĭ Viktorovich Bochkarev
Download or read book A Method of Averaging in the Theory of Orthogonal Series and Some Problems in the Theory of Bases written by Sergeĭ Viktorovich Bochkarev and published by American Mathematical Soc.. This book was released on 1980 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Investigate various forms of convergence of Fourier series in general orthonormal systems as well as certain problems in the theory of bases" -- Introduction.
Book Synopsis Mean Convergence on Orthogonal Series and Conjugate Series by : Richard Askey
Download or read book Mean Convergence on Orthogonal Series and Conjugate Series written by Richard Askey and published by . This book was released on 1961 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Orthogonal Arrays written by A.S. Hedayat and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Orthogonal arrays have played a vital role in improving the quality of products manufactured throughout the world. This first book on the subject since its introduction more than fifty years ago serves as a key resource to this area of designing experiments. Most of the arrays obtained by the methods in this book are available electronically. Anyone running experiments - whether in a chemistry lab or a manufacturing plant, or in agricultural or medical research - will find this book useful.
Book Synopsis Convergence Problems of Orthogonal Series by : G. Alexits
Download or read book Convergence Problems of Orthogonal Series written by G. Alexits and published by Elsevier. This book was released on 2014-07-23 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Convergence Problems of Orthogonal Series deals with the theory of convergence and summation of the general orthogonal series in relation to the general theory and classical expansions. The book reviews orthogonality, orthogonalization, series of orthogonal functions, complete orthogonal systems, and the Riesz-Fisher theorem. The text examines Jacobi polynomials, Haar's orthogonal system, and relations to the theory of probability using Rademacher's and Walsh's orthogonal systems. The book also investigates the convergence behavior of orthogonal series by methods belonging to the general theory of series. The text explains some Tauberian theorems and the classical Abel transform of the partial sums of a series which the investigator can use in the theory of orthogonal series. The book examines the importance of the Lebesgue functions for convergence problems, the generalization of the Walsh series, the order of magnitude of the Lebesgue functions, and the Lebesgue functions of the Cesaro summation. The text also deals with classical convergence problems in which general orthogonal series have limited significance as orthogonal expansions react upon the structural properties of the expanded function. This reaction happens under special assumptions concerning the orthogonal system in whose functions the expansion proceeds. The book can prove beneficial to mathematicians, students, or professor of calculus and advanced mathematics.
Book Synopsis Fourier Series and Orthogonal Functions by : Harry F. Davis
Download or read book Fourier Series and Orthogonal Functions written by Harry F. Davis and published by Courier Corporation. This book was released on 2012-09-05 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This incisive text deftly combines both theory and practical example to introduce and explore Fourier series and orthogonal functions and applications of the Fourier method to the solution of boundary-value problems. Directed to advanced undergraduate and graduate students in mathematics as well as in physics and engineering, the book requires no prior knowledge of partial differential equations or advanced vector analysis. Students familiar with partial derivatives, multiple integrals, vectors, and elementary differential equations will find the text both accessible and challenging. The first three chapters of the book address linear spaces, orthogonal functions, and the Fourier series. Chapter 4 introduces Legendre polynomials and Bessel functions, and Chapter 5 takes up heat and temperature. The concluding Chapter 6 explores waves and vibrations and harmonic analysis. Several topics not usually found in undergraduate texts are included, among them summability theory, generalized functions, and spherical harmonics. Throughout the text are 570 exercises devised to encourage students to review what has been read and to apply the theory to specific problems. Those preparing for further study in functional analysis, abstract harmonic analysis, and quantum mechanics will find this book especially valuable for the rigorous preparation it provides. Professional engineers, physicists, and mathematicians seeking to extend their mathematical horizons will find it an invaluable reference as well.
Book Synopsis Orthogonal Polynomials and Special Functions by : Richard Askey
Download or read book Orthogonal Polynomials and Special Functions written by Richard Askey and published by SIAM. This book was released on 1975-06-01 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the idea that one studies orthogonal polynomials and special functions to use them to solve problems.
Book Synopsis Frontiers In Orthogonal Polynomials And Q-series by : M Zuhair Nashed
Download or read book Frontiers In Orthogonal Polynomials And Q-series written by M Zuhair Nashed and published by World Scientific. This book was released on 2018-01-12 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume aims to highlight trends and important directions of research in orthogonal polynomials, q-series, and related topics in number theory, combinatorics, approximation theory, mathematical physics, and computational and applied harmonic analysis. This collection is based on the invited lectures by well-known contributors from the International Conference on Orthogonal Polynomials and q-Series, that was held at the University of Central Florida in Orlando, on May 10-12, 2015. The conference was dedicated to Professor Mourad Ismail on his 70th birthday.The editors strived for a volume that would inspire young researchers and provide a wealth of information in an engaging format. Theoretical, combinatorial and computational/algorithmic aspects are considered, and each chapter contains many references on its topic, when appropriate.
Book Synopsis Wavelets and Other Orthogonal Systems with Applications by : Gilbert G. Walter
Download or read book Wavelets and Other Orthogonal Systems with Applications written by Gilbert G. Walter and published by CRC Press. This book was released on 1994-07-13 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book makes accessible to both mathematicians and engineers important elements of the theory, construction, and application of orthogonal wavelets. It is integrated with more traditional orthogonal series, such as Fourier series and orthogonal polynomials. It treats the interaction of both with generalized functions (delta functions), which have played an important part in engineering theory but whose rules are often vaguely presented. Unlike most other books that are excessively technical, this text/reference presents the basic concepts and examples in a readable form. Much of the material on wavelets has not appeared previously in book form. Applications to statistics, sampling theorems, and stochastic processes are given. In particular, the close affinity between wavelets and sampling theorems is explained and developed.
Book Synopsis Orthogonal Series and Approximation of Functions by : Sergej Michajlovic Nikol'skij
Download or read book Orthogonal Series and Approximation of Functions written by Sergej Michajlovic Nikol'skij and published by American Mathematical Soc.. This book was released on 1985-12-15 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Orthogonal Rational Functions by : Adhemar Bultheel
Download or read book Orthogonal Rational Functions written by Adhemar Bultheel and published by Cambridge University Press. This book was released on 1999-02-13 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book generalises the classical theory of orthogonal polynomials on the complex unit circle, or on the real line to orthogonal rational functions whose poles are among a prescribed set of complex numbers. The first part treats the case where these poles are all outside the unit disk or in the lower half plane. Classical topics such as recurrence relations, numerical quadrature, interpolation properties, Favard theorems, convergence, asymptotics, and moment problems are generalised and treated in detail. The same topics are discussed for the different situation where the poles are located on the unit circle or on the extended real line. In the last chapter, several applications are mentioned including linear prediction, Pisarenko modelling, lossless inverse scattering, and network synthesis. This theory has many applications in theoretical real and complex analysis, approximation theory, numerical analysis, system theory, and in electrical engineering.
Book Synopsis Wavelets and Other Orthogonal Systems by : Gilbert G. Walter
Download or read book Wavelets and Other Orthogonal Systems written by Gilbert G. Walter and published by CRC Press. This book was released on 2018-10-03 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: A bestseller in its first edition, Wavelets and Other Orthogonal Systems: Second Edition has been fully updated to reflect the recent growth and development of this field, especially in the area of multiwavelets. The authors have incorporated more examples and numerous illustrations to help clarify concepts. They have also added a considerable amount of new material, including sections addressing impulse trains, an alternate approach to periodic wavelets, and positive wavelet s. Other new discussions include irregular sampling in wavelet subspaces, hybrid wavelet sampling, interpolating multiwavelets, and several new statistics topics. With cutting-edge applications in data compression, image analysis, numerical analysis, and acoustics wavelets remain at the forefront of current research. Wavelets and Other Orthogonal Systems maintains its mathematical perspective in presenting wavelets in the same setting as other orthogonal systems, thus allowing their advantages and disadvantages to be seen more directly. Now even more student friendly, the second edition forms an outstanding text not only for graduate students in mathematics, but also for those interested in scientific and engineering applications.
Book Synopsis Orthogonal Polynomials by : Gabor Szeg
Download or read book Orthogonal Polynomials written by Gabor Szeg and published by American Mathematical Soc.. This book was released on 1939-12-31 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: The general theory of orthogonal polynomials was developed in the late 19th century from a study of continued fractions by P. L. Chebyshev, even though special cases were introduced earlier by Legendre, Hermite, Jacobi, Laguerre, and Chebyshev himself. It was further developed by A. A. Markov, T. J. Stieltjes, and many other mathematicians. The book by Szego, originally published in 1939, is the first monograph devoted to the theory of orthogonal polynomials and its applications in many areas, including analysis, differential equations, probability and mathematical physics. Even after all the years that have passed since the book first appeared, and with many other books on the subject published since then, this classic monograph by Szego remains an indispensable resource both as a textbook and as a reference book. It can be recommended to anyone who wants to be acquainted with this central topic of mathematical analysis.
Book Synopsis Real Functions, Abstract Spaces and Orthogonal Series by : Miklós Mikolás
Download or read book Real Functions, Abstract Spaces and Orthogonal Series written by Miklós Mikolás and published by . This book was released on 1994 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Orthogonal Polynomials of Several Variables by : Charles F. Dunkl
Download or read book Orthogonal Polynomials of Several Variables written by Charles F. Dunkl and published by Cambridge University Press. This book was released on 2001-02-22 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Orthogonal polynomials of several variables, approximation theory, symmetry-group methods.
Download or read book The Arrows of Time written by Greg Egan and published by Hachette UK. This book was released on 2013-11-21 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: In an alien universe where space and time play by different rules, interstellar voyages last longer for the travellers than for those they left behind. After six generations in flight, the inhabitants of the mountain-sized spacecraft the Peerless have used their borrowed time to develop advanced technology that could save their home world from annihilation. But not every traveller feels allegiance to a world they have never seen, and as tensions mount over the risks of turning the ship around and starting the long voyage home, a new complication arises: the prospect of constructing a messaging system that will give the Peerless news of its own future. While some of the crew welcome the opportunity to be warned of impending dangers - and perhaps even hear reports of the ship's triumphant return - others are convinced that knowing what lies ahead will be oppressive, and that the system will be abused. Agata longs for a chance to hear a message from the ancestors back on the home world, proving that the sacrifices of the travellers have not been in vain, but her most outspoken rival, Ramiro, fears that the system will undermine every decision the travellers make. When a vote fails to settle the matter and dissent erupts into violence, Ramiro, Agata and their allies must seek a new way to bring peace to the Peerless - by traveling to a world where time runs in reverse. THE ARROWS OF TIME is the final volume of the Orthogonal trilogy, bringing a powerful and surprising conclusion to the epic story of the Peerless that began with THE CLOCKWORK ROCKET and THE ETERNAL FLAME.
