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Author : Szolem Mandelbrojt
Publisher : Unknown
Page : 84 pages
File Size : 41,9 Mb
Release : 1958
Category : Dirichlet series
ISBN : UCBK:C037487267
Author : IU. S. Il'iashenko
Publisher : American Mathematical Soc.
Page : 342 pages
File Size : 48,6 Mb
Release : 1991
Category : Mathematics
ISBN : 0821845535
This book is devoted to the following finiteness theorem: A polynomial vector field on the real plane has a finite number of limit cycles. To prove the theorem, it suffices to note that limit cycles cannot accumulate on a polycycle of an analytic vector field. This approach necessitates investigation of the monodromy transformation (also known as the Poincare return mapping or the first return mapping) corresponding to this cycle. To carry out this investigation, this book utilizes five sources: The theory of Dulac, use of the complex domain, resolution of singularities, the geometric theory of normal forms, and superexact asymptotic series. In the introduction, the author presents results about this problem that were known up to the writing of the present book, with full proofs (except in the case of the results in the local theory and theorems on resolution of singularities).
Author : Antoine Joux,Abderrahmane Nitaj,Tajjeeddine Rachidi
Publisher : Springer
Page : 363 pages
File Size : 55,5 Mb
Release : 2018-04-16
Category : Computers
ISBN : 9783319893396
This book constitutes the refereed proceedings of the 10th International Conference on the Theory and Application of Cryptographic Techniques in Africa, AFRICACRYPT 2018, held in Marrakesh, Morocco, in May 2018. The 19 papers presented in this book were carefully reviewed and selected from 54 submissions. AFRICACRYPT is a major scientific event that seeks to advance and promote the field of cryptology on the African continent. The conference has systematically drawn some excellent contributions to the field. The conference has always been organized in cooperation with the International Association for Cryptologic Research (IACR).
Author : Dmitrii S. Silvestrov
Publisher : Springer Science & Business Media
Page : 408 pages
File Size : 50,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9780857293909
This volume is the first to present a state-of-the-art overview of this field, with many results published for the first time. It covers the general conditions as well as the basic applications of the theory, and it covers and demystifies the vast and technically demanding Russian literature in detail. Its coverage is thorough, streamlined and arranged according to difficulty.
Author : Grigor A. Barsegian,Ilpo Laine,Chung-Chun Yang
Publisher : Springer Science & Business Media
Page : 331 pages
File Size : 46,8 Mb
Release : 2006-05-02
Category : Mathematics
ISBN : 9781402079511
The Nevanlinna theory of value distribution of meromorphic functions, one of the milestones of complex analysis during the last century, was c- ated to extend the classical results concerning the distribution of of entire functions to the more general setting of meromorphic functions. Later on, a similar reasoning has been applied to algebroid functions, subharmonic functions and meromorphic functions on Riemann surfaces as well as to - alytic functions of several complex variables, holomorphic and meromorphic mappings and to the theory of minimal surfaces. Moreover, several appli- tions of the theory have been exploited, including complex differential and functional equations, complex dynamics and Diophantine equations. The main emphasis of this collection is to direct attention to a number of recently developed novel ideas and generalizations that relate to the - velopment of value distribution theory and its applications. In particular, we mean a recent theory that replaces the conventional consideration of counting within a disc by an analysis of their geometric locations. Another such example is presented by the generalizations of the second main theorem to higher dimensional cases by using the jet theory. Moreover, s- ilar ideas apparently may be applied to several related areas as well, such as to partial differential equations and to differential geometry. Indeed, most of these applications go back to the problem of analyzing zeros of certain complex or real functions, meaning in fact to investigate level sets or level surfaces.
Author : Bogdan Grechuk
Publisher : Springer
Page : 446 pages
File Size : 42,6 Mb
Release : 2019-06-15
Category : Mathematics
ISBN : 9783030190965
This book consists of short descriptions of 106 mathematical theorems, which belong to the great achievements of 21st century mathematics but require relatively little mathematical background to understand their formulation and appreciate their importance. The selected theorems of this volume, chosen from the famous Annals of Mathematics journal, cover a broad range of topics from across mathematics. Each theorem description is essentially self-contained, can be read independently of the others, and requires as little preliminary knowledge as possible. Although the sections often start with an informal discussion and toy examples, all the necessary definitions are included and each description culminates in the precise formulation of the corresponding theorem. Filling the gap between surveys written for mathematicians and popular mathematics, this book is intended for readers with a keen interest in contemporary mathematics.
Author : Eyal Kushilevitz,Tal Malkin
Publisher : Springer
Page : 618 pages
File Size : 50,6 Mb
Release : 2015-12-21
Category : Computers
ISBN : 9783662490969
The two-volume set LNCS 9562 and LNCS 9563 constitutes the refereedproceedings of the 13th International Conference on Theory ofCryptography, TCC 2016, held in Tel Aviv, Israel, in January 2016. The 45 revised full papers presented were carefully reviewed andselected from 112 submissions. The papers are organized in topicalsections on obfuscation, differential privacy, LWR and LPN, public key encryption, signatures, and VRF, complexity of cryptographic primitives, multiparty computation, zero knowledge and PCP, oblivious RAM, ABE and IBE, and codes and interactive proofs. The volume also includes an invited talk on cryptographic assumptions.
Author : Bogart,Kung,Freese
Publisher : Springer Science & Business Media
Page : 476 pages
File Size : 46,9 Mb
Release : 2013-11-22
Category : Science
ISBN : 9781489935588
Author : Juan Gil,Thomas Krainer,Ingo Witt
Publisher : Springer Science & Business Media
Page : 584 pages
File Size : 54,5 Mb
Release : 2004-03-26
Category : Mathematics
ISBN : 3764370696
Boundary problems constitute an essential field of common mathematical interest, they lie in the center of research activities both in analysis and geometry. This book encompasses material from both disciplines, and focuses on their interactions which are particularly apparent in this field. Moreover, the survey style of the contributions makes the topics accessible to a broad audience with a background in analysis or geometry, and enables the reader to get a quick overview.
Author : Claude Kirchner,Helene Kirchner
Publisher : Springer Science & Business Media
Page : 468 pages
File Size : 50,9 Mb
Release : 1998-06-24
Category : Computers
ISBN : 3540646752
This book constitutes the refereed proceedings of the 15th International Conference on Automated Deduction, CADE-15, held in Lindau, Germany, in July 1998. The volume presents three invited contributions together with 25 revised full papers and 10 revised system descriptions; these were selected from a total of 120 submissions. The papers address all current issues in automated deduction and theorem proving based on resolution, superposition, model generation and elimination, or connection tableau calculus, in first-order, higher-order, intuitionistic, or modal logics, and describe applications to geometry, computer algebra, or reactive systems.
Author : Dilsun K. Kaynar
Publisher : Morgan & Claypool Publishers
Page : 138 pages
File Size : 51,7 Mb
Release : 2011
Category : Computers
ISBN : 9781608450022
This monograph presents the Timed Input/Output Automaton (TIOA) modeling framework, a basic mathematical framework to support description and analysis of timed (computing) systems. Timed systems are systems in which desirable correctness or performance properties of the system depend on the timing of events, not just on the order of their occurrence. Timed systems are employed in a wide range of domains including communications, embedded systems, real-time operating systems, and automated control. Many applications involving timed systems have strong safety, reliability, and predictability requirements, which make it important to have methods for systematic design of systems and rigorous analysis of timing-dependent behavior. The TIOA framework also supports description and analysis of timed distributed algorithms -- distributed algorithms whose correctness and performance depend on the relative speeds of processors, accuracy of local clocks, or communication delay bounds. Such algorithms arise, for example, in traditional and wireless communications, networks of mobile devices, and shared-memory multiprocessors. The need to prove rigorous theoretical results about timed distributed algorithms makes it important to have a suitable mathematical foundation. An important feature of the TIOA framework is its support for decomposing timed system descriptions. In particular, the framework includes a notion of external behavior for a timed I/O automaton, which captures its discrete interactions with its environment. The framework also defines what it means for one TIOA to implement another, based on an inclusion relationship between their external behavior sets, and defines notions of simulations, which provide sufficient conditions for demonstrating implementation relationships. The framework includes a composition operation for TIOAs, which respects external behavior, and a notion of receptiveness, which implies that a TIOA does not block the passage of time. The TIOA framework also defines the notion of a property and what it means for a property to be a safety or a liveness property. It includes results that capture common proof methods for showing that automata satisfy properties. Table of Contents: Introduction / Mathematical Preliminaries / Describing Timed System Behavior / Timed Automata / Operations on Timed Automata / Properties for Timed Automata / Timed I/O Automata / Operations on Timed I/O Automata / Conclusions and Future Work
Author : A.M. Glass,W.C. Holland
Publisher : Springer Science & Business Media
Page : 418 pages
File Size : 48,8 Mb
Release : 1989-03-31
Category : Mathematics
ISBN : 0792301161
A lattice-ordered group is a mathematical structure combining a (partial) order (lattice) structure and a group structure (on a set) in a compatible way. Thus it is a composite structure, or, a set carrying two or more simple structures in a compatible way. The field of lattice-ordered groups turn up on a wide range of mathematical fields ranging from functional analysis to universal algebra. These papers address various aspects of the field, with wide applicability for interested researchers.
Author : T. Parthasarathy
Publisher : Springer
Page : 115 pages
File Size : 44,8 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540394624
Author : Jeffrey J. Joyce,Carl-Johan H. Seger
Publisher : Springer Science & Business Media
Page : 538 pages
File Size : 50,7 Mb
Release : 1994-04-28
Category : Computers
ISBN : 3540578269
This volume constitutes the refereed proceedings of the 1993 Higher-Order Logic User's Group Workshop, held at the University of British Columbia in August 1993. The workshop was sponsored by the Centre for Integrated Computer System Research. It was the sixth in the series of annual international workshops dedicated to the topic of Higher-Order Logic theorem proving, its usage in the HOL system, and its applications. The volume contains 40 papers, including an invited paper by David Parnas, McMaster University, Canada, entitled "Some theorems we should prove".
Author : Carmit Hazay,Martijn Stam
Publisher : Springer Nature
Page : 683 pages
File Size : 42,5 Mb
Release : 2023-04-14
Category : Computers
ISBN : 9783031306204
This five-volume set, LNCS 14004 - 14008 constitutes the refereed proceedings of the 42nd Annual International Conference on Theory and Applications of Cryptographic Techniques, Eurocrypt 2023, which was held in Lyon, France, in April 2023. The total of 109 full papers presented were carefully selected from 415 submissions. They are organized in topical sections as follows: Theoretical Foundations; Public Key Primitives with Advanced Functionalities; Classic Public Key Cryptography; Secure and Efficient Implementation, Cryptographic Engineering, and Real-World Cryptography; Symmetric Cryptology; and finally Multi-Party Computation and Zero-Knowledge.