Download or read book A Unified Approach To Uniqueness Expansion And Approximation Problems written by Chiu-cheng Chang and published by World Scientific. This book was released on 1994-07-29 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the concept of Pólya property for holomorphic functions of two and several variables. The functions which have the Pólya property are used to study the uniqueness problem for entire functions. This gives interesting results for a general class of generating functions. The functions with Pólya property are also used as generating kernels in formal generating relations to study the expansion problem for entire functions. A necessary and sufficient condition is obtained for an entire function to have a unique expansion in a series of various known polynomials generated from the formal generating relations.In this book, it is shown that the uniqueness problem for entire functions of exponential type is equivalent to the approximation problem for analytic functions. This result, in combination with other results, produces many interesting theorems on the approximation of analytic functions. Since functions with Pólya property have very useful applications, the study of a class of linear operators which preserve the Pólya property is embarked upon and two sufficient conditions for an operator to be Pólya-property-preserving are given.

Download or read book A Unified Approach to Uniqueness Expansion and Approximation Problems written by Chiu-Cheng Chang and published by World Scientific. This book was released on 1994 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the concept of P¢lya property for holomorphic functions of two and several variables. The functions which have the P¢lya property are used to study the uniqueness problem for entire functions. This gives interesting results for a general class of generating functions. The functions with P¢lya property are also used as generating kernels in formal generating relations to study the expansion problem for entire functions. A necessary and sufficient condition is obtained for an entire function to have a unique expansion in a series of various known polynomials generated from the formal generating relations.In this book, it is shown that the uniqueness problem for entire functions of exponential type is equivalent to the approximation problem for analytic functions. This result, in combination with other results, produces many interesting theorems on the approximation of analytic functions. Since functions with P¢lya property have very useful applications, the study of a class of linear operators which preserve the P¢lya property is embarked upon and two sufficient conditions for an operator to be P¢lya-property-preserving are given.

Download or read book Soochow Journal of Mathematics written by and published by . This book was released on 2002 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Hypersonic Flow Theory written by Wallace Hayes and published by Elsevier. This book was released on 2012-12-02 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hypersonic Flow Theory presents the fundamentals of fluid mechanics, focusing on the hypersonic flow theory and approaches in theoretical aerodynamics. This book discusses the assumptions underlying hypersonic flow theory, unified supersonic-hypersonic similitude, two-dimensional and axisymmetric bodies, and circular cylinder. The constant-streamtube-area approximation, streamtube-continuity methods, and tangent-wedge and tangent-cone are also deliberated. This text likewise covers the similar laminar boundary layer solutions, bluntness induced interactions on slender bodies, and free molecule transfer theory. The dynamics of hypersonic flight or hypersonic wing theory, magnetohydrodynamic theory, or any developments involving treatment of the Boltzmann equation are not included. This publication is intended for hypersonic aerodynamicists, students, and researchers conducting work on the hypersonic flow phenomena.

Download or read book Mathematical Reviews written by and published by . This book was released on 2003 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Soviet Mathematics written by and published by . This book was released on 1975 with total page 1256 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Soviet Mathematics Doklady written by and published by . This book was released on 1974 with total page 918 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book International Mathematical News written by and published by . This book was released on 1993 with total page 858 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Approximation Randomization and Combinatorial Optimization Algorithms and Techniques written by Anupam Gupta and published by Springer. This book was released on 2012-07-20 with total page 687 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the joint refereed proceedings of the 15th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2012, and the 16th International Workshop on Randomization and Computation, RANDOM 2012, held in Cambridge, Massachusetts, USA, in August 2011. The volume contains 28 contributed papers, selected by the APPROX Program Committee out of 70 submissions, and 28 contributed papers, selected by the RANDOM Program Committee out of 67 submissions. APPROX focuses on algorithmic and complexity issues surrounding the development of efficient approximate solutions to computationally difficult problems. RANDOM is concerned with applications of randomness to computational and combinatorial problems.

Download or read book The Bulletin of Mathematics Books written by and published by . This book was released on 1992 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Bibliographic Guide to East Asian Studies written by New York Public Library Staff and published by Macmillan Reference USA. This book was released on 1996-07 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: An aid for reseaching non-western cultures, the Bibliographic Guide to East Asian Studies covers Japan, China, North and South Korea, Honk Kong, and Taiwan, with approximately 3,500 listings from LC MARC tapes and the Oriental Division of The New York Public Library. It includes publications about East Asia; materials published in any of the relevant countries; and publications in the Chinese, Japanese and Korean languages. Listings are transcribed into Anglicised characters. Each entry provides complete bibliographic information, along with the NYPL and/or LC call numbers.

Download or read book Optical Metamaterials Qualitative Models written by Arkadi Chipouline and published by Springer. This book was released on 2018-12-28 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook bridges the gap between university courses on electrodynamics and the knowledge needed to successfully address the problem of electrodynamics of metamaterials. It appeals to both experimentalists and theoreticians who are interested in the physical basics of metamaterials and plasmonics. Focusing on qualitative fundamental treatment as opposed to quantitative numerical treatment, it covers the phenomena of artificial magnetization at high frequencies, and discusses homogenization procedures and the basics of quantum dynamics in detail. By considering different phenomena it creates a self-consistent qualitative picture to explain most observable phenomena. This allows readers to develop a better understanding of the concepts, and helps to create a conceptual approach, which is especially important in educational contexts. This clearly written book includes problems and solutions for each chapter, which can be used for seminars and homework, as well as qualitative models that are helpful to students.

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1989 with total page 988 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Philosophy of Science written by Sahotra Sarkar and published by Psychology Press. This book was released on 2006 with total page 1012 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first in-depth reference to the field that combines scientific knowledge with philosophical inquiry, this encyclopedia brings together a team of leading scholars to provide nearly 150 entries on the essential concepts in the philosophy of science. The areas covered include biology, chemistry, epistemology and metaphysics, physics, psychology and mind, the social sciences, and key figures in the combined studies of science and philosophy. (Midwest).

Download or read book SIAM Journal on Numerical Analysis written by and published by . This book was released on 1971 with total page 872 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains research articles on the development and analysis of numerical methods, including their convergence, stability, and error analysis as well as related results in functional analysis and approximation theory. Computational experiments and new types of numerical applications are also included.

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Fundamental Problems in Statistical Mechanics V written by E. G. D. Cohen and published by North Holland. This book was released on 1980 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: