Polynomial Sequences And Their Applications
DOWNLOAD
Download Polynomial Sequences And Their Applications PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Polynomial Sequences And Their Applications book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Polynomial Sequences And Their Applications
DOWNLOAD
Author : Francesco Aldo Costabile
language : en
Publisher:
Release Date : 2024-03-05
Polynomial Sequences And Their Applications written by Francesco Aldo Costabile and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-05 with Computers categories.
The present reprint contains the articles accepted and published in the Special Issue "Polynomial Sequences and Their Applications" of the MDPI journal Mathematics. This reprint aims to present, albeit partially, the state of the art on the theory and application of polynomial sequences. Polynomials are incredibly useful mathematical tools, as they are simply defined and can be calculated quickly on computer systems. They can be differentiated and integrated easily and can be pieced together to form spline curves. Sequences of polynomials perform an important role in several branches of science, including mathematics, physics, and engineering. This volume contains both theoretical works and practical applications in the field of polynomial sequences and their applications.
Polynomial Sequences
DOWNLOAD
Author : Francesco Aldo Costabile
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-12-18
Polynomial Sequences written by Francesco Aldo Costabile and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-18 with Mathematics categories.
Sequences And Their Applications
DOWNLOAD
Author : C. Ding
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Sequences And Their Applications written by C. Ding and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
This book contains survey papers and research papers by leading experts on sequences and their applications. It discusses both the theory of sequences and their applications in cryptography, coding theory, communications systems, numerical computation and computer simulation. Sequences have important applications in ranging systems, spread spectrum communication systems, multi-terminal system identification, code division multiply access communications systems, global positioning systems, software testing, circuit testing, computer simulation, and stream ciphers. The papers contained in this volume bring together experts from discrete mathematics, computer science and communications engineering, and help to bridge advances in these different areas.
Finite Fields And Their Applications
DOWNLOAD
Author : Pascale Charpin
language : en
Publisher: Walter de Gruyter
Release Date : 2013-05-28
Finite Fields And Their Applications written by Pascale Charpin and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-28 with Mathematics categories.
This book is based on the invited talks of the "RICAM-Workshop on Finite Fields and Their Applications: Character Sums and Polynomials" held at the Federal Institute for Adult Education (BIfEB) in Strobl, Austria, from September 2-7, 2012. Finite fields play important roles in many application areas such as coding theory, cryptography, Monte Carlo and quasi-Monte Carlo methods, pseudorandom number generation, quantum computing, and wireless communication. In this book we will focus on sequences, character sums, and polynomials over finite fields in view of the above mentioned application areas: Chapters 1 and 2 deal with sequences mainly constructed via characters and analyzed using bounds on character sums. Chapters 3, 5, and 6 deal with polynomials over finite fields. Chapters 4 and 9 consider problems related to coding theory studied via finite geometry and additive combinatorics, respectively. Chapter 7 deals with quasirandom points in view of applications to numerical integration using quasi-Monte Carlo methods and simulation. Chapter 8 studies aspects of iterations of rational functions from which pseudorandom numbers for Monte Carlo methods can be derived. The goal of this book is giving an overview of several recent research directions as well as stimulating research in sequences and polynomials under the unified framework of character theory.
Sequences And Their Applications Seta 2004
DOWNLOAD
Author : Tor Helleseth
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-06
Sequences And Their Applications Seta 2004 written by Tor Helleseth and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06 with Computers categories.
This book constitutes the thoroughly refereed post-proceedings of the Third International Conference on Sequences and Their Applications, SETA 2004, held in Seoul, Korea in October 2004. The 30 revised full papers presented together with 4 invited survey articles were carefully selected during two rounds of reviewing and improvement from initially 59 submissions. The papers are organized in topical sections on complexity of sequences, perfect sequences, sequence construction, sequences modulo z, sequence generator properties and applications, multi-dimensional sequences, optics and OFDM applications, and polynomials and functions.
Theory Methods And Applications Of The Classical Hypergeometric Orthogonal Polynomial Sequences Of Sheffer And Jacobi
DOWNLOAD
Author : Dylan Jacob Langharst
language : en
Publisher:
Release Date : 2018
Theory Methods And Applications Of The Classical Hypergeometric Orthogonal Polynomial Sequences Of Sheffer And Jacobi written by Dylan Jacob Langharst and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.
The purpose of this Schreyer Honors Thesis is to explore theories, methods and applications oforthogonal polynomial sequences. This thesis is designed to be approachable and understandableby any undergraduate mathematics or physics major at The Pennsylvania State University in orderto serve as a learning resource. This paper is to be comprehensive and self-consistent; that is, wehope to cover all prerequisite information here that is required for the understanding of this paper,hence the thorough introduction. Throughout this paper, several definitions, terminologies andnotations are used, as listed in Chapter 1. The presentation of polynomial sequences here closelyfollow that in [1] and [2]. Limit, series and integral relations involving orthogonal polynomialsare presented in Chapter 2. Chapter 3 covers the inverse method and Schrdinger form for variousorthogonal polynomial sequences. Chapter 4 introduces applications of orthogonal polynomials inphysics and numerical analysis.
On The Higher Order Sheffer Orthogonal Polynomial Sequences
DOWNLOAD
Author : Daniel J. Galiffa
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-01-04
On The Higher Order Sheffer Orthogonal Polynomial Sequences written by Daniel J. Galiffa and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-04 with Mathematics categories.
On the Higher-Order Sheffer Orthogonal Polynomial Sequences sheds light on the existence/non-existence of B-Type 1 orthogonal polynomials. This book presents a template for analyzing potential orthogonal polynomial sequences including additional higher-order Sheffer classes. This text not only shows that there are no OPS for the special case the B-Type 1 class, but that there are no orthogonal polynomial sequences for the general B-Type 1 class as well. Moreover, it is quite provocative how the seemingly subtle transition from the B-Type 0 class to the B-Type 1 class leads to a drastically more difficult characterization problem. Despite this issue, a procedure is established that yields a definite answer to our current characterization problem, which can also be extended to various other characterization problems as well. Accessible to undergraduate students in the mathematical sciences and related fields, This book functions as an important reference work regarding the Sheffer sequences. The author takes advantage of Mathematica 7 to display unique detailed code and increase the reader's understanding of the implementation of Mathematica 7 and facilitate further experimentation. In addition, this book provides an excellent example of how packages like Mathematica 7 can be used to derive rigorous mathematical results.
Sequences And Their Applications Seta 2010
DOWNLOAD
Author : Claude Carlet
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09
Sequences And Their Applications Seta 2010 written by Claude Carlet and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09 with Business & Economics categories.
This volumecontainstherefereedproceedingsoftheSixth International Conf- ence on Sequences and Their Applications (SETA 2010), held in Paris, France, September 13-17, 2010. The previous ?ve conferences were held in Singapore (RepublicofSingapore),Bergen(Norway),Seoul(SouthKorea),Beijing(China) and Lexington (USA). Topics of SETA include: – Randomness of sequences – Correlation (periodic and aperiodic types) and combinatorial aspects of - quences (di?erence sets) – Sequences with applications in coding theory and cryptography – Sequences over ?nite ?elds/rings/function ?elds – Linear and nonlinear feedback shift register sequences – Sequences for radar distance ranging, synchronization, identi?cation, and hardware testing – Sequences for wireless communication – Pseudorandom sequence generators – Boolean and vectorial functions for sequences, coding and/or cryptography – Multidimensional sequences and their correlation properties – Linear and nonlinear complexity of sequences The Technical Program Committee of SETA 2010 refereed 56 submitted - pers. Each paper was reviewed by at least 2 referees (at least 3 when an author was a TPC member) and the TPC selected 33 papers to be presented at the conference. In addition, we had 4 invited papers, byRobert Calderbank(Prin- ton University, USA), James Massey (retired from ETH Zurich, Switzerland), Jong-Seon No (Seoul National University, South Korea) and Arne Winterhof ¨ (Osterreichische Akademie der Wissenschaften, Austria). TheCo-chairsoftheTPCwereClaudeCarlet(Universit´ eParis8,France)and Alexander Pott (Otto-von-Guericke-Universit¨ at, Magdeburg, Germany). They wish to thank the other members of the ProgramCommittee: Thierry P.
Polynomial Sequences
DOWNLOAD
Author : Francesco Aldo Costabile
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-12-18
Polynomial Sequences written by Francesco Aldo Costabile and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-18 with Mathematics categories.
Polynomials are useful mathematical tools. They are simply defined and can be calculated quickly on computer systems. They can be differentiated and integrated easily and can be pieced together to form spline curves. After Weierstrass approximation Theorem, polynomial sequences have acquired considerable importance not only in the various branches of Mathematics, but also in Physics, Chemistry and Engineering disciplines. There is a wide literature on specific polynomial sequences. But there is no literature that attempts a systematic exposition of the main basic methods for the study of a generic polynomial sequence and, at the same time, gives an overview of the main polynomial classes and related applications, at least in numerical analysis. In this book, through an elementary matrix calculus-based approach, an attempt is made to fill this gap by exposing dated and very recent results, both theoretical and applied.
Sequences And Their Applications Seta 2008
DOWNLOAD
Author : Solomon W. Golomb
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-04
Sequences And Their Applications Seta 2008 written by Solomon W. Golomb and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-04 with Computers categories.
This book constitutes the refereed proceedings of the 5th International Conference on Sequences and Their Applications, SETA 2008, held in Lexington, KY, USA in September 2008. The 32 revised full papers presented were carefully reviewed and selected. The papers are organized in topical sections on probabilistic methods and randomness properties of sequences; correlation; combinatorial and algebraic foundations; security aspects of sequences; algorithms; correlation of sequences over rings; nonlinear functions over finite fields.