Download Full eBooks in PDF
Multi Valued Superpositions Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Multi Valued Superpositions book. This book definitely worth reading, it is an incredibly well-written.
Author : Jürgen Appell
Publisher : Unknown
Page : 108 pages
File Size : 42,5 Mb
Release : 1995
Category : Functions
ISBN : UCR:31210011588637
Author : Hafiz Md. Hasan Babu
Publisher : CRC Press
Page : 521 pages
File Size : 48,8 Mb
Release : 2023-10-03
Category : Computers
ISBN : 9781000901023
This book mainly focuses on the design methodologies of various quantum circuits, DNA circuits, DNA-quantum circuits, and quantum-DNA circuits. In this text, the author has compiled various design aspects of multiple-valued logic DNA-quantum and quantum-DNA sequential circuits, memory devices, programmable logic devices, and nanoprocessors. Multiple-Valued Computing in Quantum Molecular Biology: Sequential Circuits, Memory Devices, Programmable Logic Devices, and Nanoprocessors is Volume 2 of a two-volume set, and consists of four parts. This book presents various design aspects of multiple-valued logic DNA-quantum and quantum-DNA sequential circuits, memory devices, programmable logic devices, and nanoprocessors. Part I discusses multiple-valued quantum and DNA sequential circuits such as D flip-flop, SR latch, SR flip-flop, JK flip-flop, T flip-flop, shift register, ripple counter, and synchronous counter, which are described, respectively, with the applications and working procedures. After that, multiple-valued quantum-DNA and DNA-quantum sequential circuits such as D flip-flop, SR flip-flop, JK flip-flop, T flip-flop, shift register, ripple counter and synchronous counter circuits are explained with working procedures and architecture. Part II discusses the architecture and design procedure of memory devices such as random access memory (RAM), read-only memory (ROM), programmable read-only memory (PROM), and cache memory, which are sequentially described in multiple-valued quantum, DNA, quantum-DNA, and DNA-quantum computing. In Part III, the author examines the architectures and working principles of programmable logic devices such as programmable logic array (PLA), programmable array logic (PAL), field programmable gate array (FPGA), and complex programmable logic device (CPLD) in multiple-valued quantum, DNA, quantum-DNA, and DNA-quantum computing. Multiple-valued quantum, DNA, quantum-DNA, and DNA-quantum nanoprocessors are designed with algorithms in Part IV. Furthermore, the basic components of ternary nanoprocessors such as T-RAM, ternary instruction register, ternary incrementor circuit, ternary decoder, ternary multiplexer, ternary accumulator in quantum, DNA, quantum-DNA, and DNA-quantum computing are also explained in detail. This book will be of great help to researchers and students in quantum computing, DNA computing, quantum-DNA computing, and DNA-quantum computing.
Author : Valeri Obukhovskii,Boris Gel'man
Publisher : World Scientific
Page : 221 pages
File Size : 47,5 Mb
Release : 2020-04-04
Category : Mathematics
ISBN : 9789811220234
The theory of multivalued maps and the theory of differential inclusions are closely connected and intensively developing branches of contemporary mathematics. They have effective and interesting applications in control theory, optimization, calculus of variations, non-smooth and convex analysis, game theory, mathematical economics and in other fields.This book presents a user-friendly and self-contained introduction to both subjects. It is aimed at 'beginners', starting with students of senior courses. The book will be useful both for readers whose interests lie in the sphere of pure mathematics, as well as for those who are involved in applicable aspects of the theory. In Chapter 0, basic definitions and fundamental results in topology are collected. Chapter 1 begins with examples showing how naturally the idea of a multivalued map arises in diverse areas of mathematics, continues with the description of a variety of properties of multivalued maps and finishes with measurable multivalued functions. Chapter 2 is devoted to the theory of fixed points of multivalued maps. The whole of Chapter 3 focuses on the study of differential inclusions and their applications in control theory. The subject of last Chapter 4 is the applications in dynamical systems, game theory, and mathematical economics.The book is completed with the bibliographic commentaries and additions containing the exposition related both to the sections described in the book and to those which left outside its framework. The extensive bibliography (including more than 400 items) leads from basic works to recent studies.
Author : D. Repovs,P.V. Semenov
Publisher : Springer Science & Business Media
Page : 366 pages
File Size : 45,9 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9789401711623
This book is dedicated to the theory of continuous selections of multi valued mappings, a classical area of mathematics (as far as the formulation of its fundamental problems and methods of solutions are concerned) as well as !'J-n area which has been intensively developing in recent decades and has found various applications in general topology, theory of absolute retracts and infinite-dimensional manifolds, geometric topology, fixed-point theory, functional and convex analysis, game theory, mathematical economics, and other branches of modern mathematics. The fundamental results in this the ory were laid down in the mid 1950's by E. Michael. The book consists of (relatively independent) three parts - Part A: Theory, Part B: Results, and Part C: Applications. (We shall refer to these parts simply by their names). The target audience for the first part are students of mathematics (in their senior year or in their first year of graduate school) who wish to get familiar with the foundations of this theory. The goal of the second part is to give a comprehensive survey of the existing results on continuous selections of multivalued mappings. It is intended for specialists in this area as well as for those who have mastered the material of the first part of the book. In the third part we present important examples of applications of continuous selections. We have chosen examples which are sufficiently interesting and have played in some sense key role in the corresponding areas of mathematics.
Author : Lech Górniewicz
Publisher : Springer Science & Business Media
Page : 548 pages
File Size : 43,5 Mb
Release : 2006-06-03
Category : Mathematics
ISBN : 9781402046667
This book is devoted to the topological fixed point theory of multivalued mappings including applications to differential inclusions and mathematical economy. It is the first monograph dealing with the fixed point theory of multivalued mappings in metric ANR spaces. Although the theoretical material was tendentiously selected with respect to applications, the text is self-contained. Current results are presented.
Author : Mikhail I. Kamenskii,Valeri V. Obukhovskii,Pietro Zecca
Publisher : Walter de Gruyter
Page : 245 pages
File Size : 51,6 Mb
Release : 2011-07-20
Category : Mathematics
ISBN : 9783110870893
The theory of set-valued maps and of differential inclusion is developed in recent years both as a field of his own and as an approach to control theory. The book deals with the theory of semilinear differential inclusions in infinite dimensional spaces. In this setting, problems of interest to applications do not suppose neither convexity of the map or compactness of the multi-operators. These assumption implies the development of the theory of measure of noncompactness and the construction of a degree theory for condensing mapping. Of particular interest is the approach to the case when the linear part is a generator of a condensing, strongly continuous semigroup. In this context, the existence of solutions for the Cauchy and periodic problems are proved as well as the topological properties of the solution sets. Examples of applications to the control of transmission line and to hybrid systems are presented.
Author : Siegfried Carl,Vy Khoi Le
Publisher : Springer Nature
Page : 596 pages
File Size : 41,5 Mb
Release : 2021-03-02
Category : Mathematics
ISBN : 9783030651657
This book focuses on a large class of multi-valued variational differential inequalities and inclusions of stationary and evolutionary types with constraints reflected by subdifferentials of convex functionals. Its main goal is to provide a systematic, unified, and relatively self-contained exposition of existence, comparison and enclosure principles, together with other qualitative properties of multi-valued variational inequalities and inclusions. The problems under consideration are studied in different function spaces such as Sobolev spaces, Orlicz-Sobolev spaces, Sobolev spaces with variable exponents, and Beppo-Levi spaces. A general and comprehensive sub-supersolution method (lattice method) is developed for both stationary and evolutionary multi-valued variational inequalities, which preserves the characteristic features of the commonly known sub-supersolution method for single-valued, quasilinear elliptic and parabolic problems. This method provides a powerful tool for studying existence and enclosure properties of solutions when the coercivity of the problems under consideration fails. It can also be used to investigate qualitative properties such as the multiplicity and location of solutions or the existence of extremal solutions. This is the first in-depth treatise on the sub-supersolution (lattice) method for multi-valued variational inequalities without any variational structures, together with related topics. The choice of the included materials and their organization in the book also makes it useful and accessible to a large audience consisting of graduate students and researchers in various areas of Mathematical Analysis and Theoretical Physics.
Author : M. Dunn,G. Epstein
Publisher : Springer Science & Business Media
Page : 341 pages
File Size : 53,9 Mb
Release : 2012-12-06
Category : Philosophy
ISBN : 9789401011617
This is a collection of invited papers from the 1975 International Sym posium on Multiple-valued Logic. Also included is an extensive bib liography of works in the field of multiple-valued logic prior to 1975 - this supplements and extends an earlier bibliography of works prior to 1965, by Nicholas Rescher in his book Many-Valued Logic, McGraw-Hill, 1969. There are a number of possible reasons for interest in the present volume. First, the range of various uses covered in this collection of papers may be taken as indicative of a breadth which occurs in the field of multiple-valued logic as a whole - the papers here can do no more than cover a small sample: question-answering systems, analysis of computer hazards, algebraic structures relating to multiple-valued logic, algebra of computer programs, fuzzy sets. Second, a large part of the interest in such uses and applications has occurred in the last twenty, even ten years. It would be too much to expect this to be reflected in Rescher's 1969 book. Third, in the 1970's a series of annual symposia have been held on multiple-valued logic, which have brought much of this into a sharp focus. * The 1971 and 1972 symposia were held at the SUNY at Buffalo, the 1973 symposium at the Uni versity of Toronto, and the 1974 symposium at West Virginia Uni versity. Papers from these symposia are included in the bibliography which may be found in an appendix of this book.
Author : Mark A. Krasnosel'skii,Aleksei V. Pokrovskii
Publisher : Springer Science & Business Media
Page : 429 pages
File Size : 43,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642613029
Hysteresis phenomena are common in numerous physical, mechanical, ecological and biological systems. They reflect memory effects and process irreversibility. The use of hysteresis operators (hysterons) offers an approach to macroscopic modelling of the dynamics of phase transitions and rheological systems. The applications cover processes in electromagnetism, elastoplasticity and population dynamics in particular. Hysterons are also typical elements of control systems where they represent thermostats and other discontinuous controllers with memory. The book offers the first systematic mathematical treatment of hysteresis nonlinearities. Construction procedures are set up for hysterons in various function spaces, in continuous and discontinuous cases. A general theory of variable hysterons is developed, including identification and stability questions. Both deterministic and non-deterministic hysterons are considered, with applications to the study of feedback systems. Many of the results presented - mostly obtained by the authors and their scientific group - have not been published before. The book is essentially self contained and is addressed both to researchers and advanced students.
Author : David C. Rine
Publisher : Elsevier
Page : 563 pages
File Size : 50,8 Mb
Release : 2014-05-12
Category : Technology & Engineering
ISBN : 9781483257921
Computer Science and Multiple-Valued Logic: Theory and Applications focuses on the processes, methodologies, and approaches involved in multiple-valued logic and its relationship to computer science. The selection first tackles an introduction to multiple-valued logic, lattice theory of post algebras, multiple-valued logic design and applications in binary computers, smallest many-valued logic for the treatment of complemented and uncomplemented error signals, and chain based lattices. Discussions focus on formulation, representation theory, theory and circuit design, logical tables, and unary operations. The text then examines multiple-valued signal processing with limiting, development of multiple-valued logic as related to computer science, p-algebras, and an algorithm for axiomatizing every finite logic. The book takes a look at completeness properties of multiple-valued logic algebras, computer simplification of multi-valued switching functions, and minimization of multivalued functions. Topics include generation of prime implicants, realizations, minimization algorithms, decomposition algorithm for multi-valued switching functions, and relation between the sum-of-products form and array of cubes. The selection is aimed at computer engineers, computer scientists, applied mathematicians, and physicists interested in multiple-valued logic as the discipline relates to computer engineering and computer science.
Author : Mikhail Z. Zgurovsky,Valery S. Melnik
Publisher : Springer Science & Business Media
Page : 508 pages
File Size : 55,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642187704
Modern achievements in the intensively developing field of applied mathematics are presented in this monograph. In particular, it proposes a new approach to extremal problem theory for nonlinear operators, differential-operator equations and inclusions, and for variational inequalities in Banach spaces. An axiomatic study of nonlinear maps (including multi-valued ones) is given, and the properties of resolving operators for systems, consisting of operator and differential-operator equations, are stated in nonlinear-map terms. The solvability conditions and the properties of extremal problem solutions are obtained, while their weak expansions and necessary conditions of optimality in variational inequality form are formulated. In addition. the monograph proposes regularization methods and approximation schemes. This book is adressed to scientists, graduates and undergraduates who are interested in nonlinear analysis, control theory, system analysis and differential equations.
Author : Reinhard Klette,Thomas Huang,Georgy Gimel'farb
Publisher : Springer
Page : 296 pages
File Size : 42,7 Mb
Release : 2003-06-29
Category : Computers
ISBN : 9783540451341
This book constitutes the thoroughly refereed post-proceedings of the 10th International Workshop on Theoretical Foundations of Computer Vision, held at Dagstuhl Castle, Germany, in March 2000. The 20 revised full papers presented have been through two rounds of reviewing, selection, and revision and give a representative assessment of the foundational issues in multiple-image processing. The papers are organized in topical sections on 3D data acquisition and sensor design, multi-image analysis, data fusion in 3D scene description, and applied 3D vision and virtual reality.
Author : Monica-Dana Burlică,Mihai Necula,Daniela Roșu,Ioan I. Vrabie
Publisher : CRC Press
Page : 322 pages
File Size : 49,8 Mb
Release : 2018-09-03
Category : Mathematics
ISBN : 9781315351681
Filling a gap in the literature, Delay Differential Evolutions Subjected to Nonlocal Initial Conditions reveals important results on ordinary differential equations (ODEs) and partial differential equations (PDEs). It presents very recent results relating to the existence, boundedness, regularity, and asymptotic behavior of global solutions for differential equations and inclusions, with or without delay, subjected to nonlocal implicit initial conditions. After preliminaries on nonlinear evolution equations governed by dissipative operators, the book gives a thorough study of the existence, uniqueness, and asymptotic behavior of global bounded solutions for differential equations with delay and local initial conditions. It then focuses on two important nonlocal cases: autonomous and quasi-autonomous. The authors next discuss sufficient conditions for the existence of almost periodic solutions, describe evolution systems with delay and nonlocal initial conditions, examine delay evolution inclusions, and extend some results to the multivalued case of reaction-diffusion systems. The book concludes with results on viability for nonlocal evolution inclusions.
Author : Victor Pierobon
Publisher : Victor Pierobon
Page : 243 pages
File Size : 42,8 Mb
Release : 2021-10-10
Category : Religion
ISBN : 9781005074302
John best described the Way, the Truth, and the Light in the New Testament. Jesus Christ is the only sinless and selfless Man with the Holy Spirit of Truth and the Light and Breath of God residing in Him becomes our Lord and Judge most favored by God. The book is an analysis of all the works of John, line by line. John's Christ often contradicts many modern Christian denominations. This book points out these discrepancies. It also provides a clear trace of Adam and his fall to his lineage of Mankind as well as the divine evolutionary interventions that shaped our species' evolution of humanity and their divine souls. In the Final Days of Revelation and Matthew's Gospel both state to let Evil be evil and Good be good, Revelation reveals the harvest of the Good from Earth, as Earth slowly gets scorched and destroyed by God. God destroys the Evil ones that destroyed the Earth. A new City of God, along with a new Earth, and a New Heaven is created for those Good souls spared from the Second Death (the death of the soul). A complete summary of this book is presented in the third Chapter "The Christian Beliefs, Events, and Definitions". The Appendix also provides comparative ideas and facts from other religions, science, philosophy, spiritual works, and Near-Death accounts that verify John's New Testament writings. This book supersedes and replaces my other two previous books: "How to Believe in Christ According to the Gospel of John" and "The City of God, the Bride of Christ, and the Second Death According to Revelation of John"; and these two previous books will no longer be updated and could be unpublished later on or a nominal price will be added for those who are curious on how this book evolved from past editions.
Author : Afif Ben Amar,Donal O'Regan
Publisher : Springer
Page : 194 pages
File Size : 50,9 Mb
Release : 2016-05-04
Category : Mathematics
ISBN : 9783319319483
This is a monograph covering topological fixed point theory for several classes of single and multivalued maps. The authors begin by presenting basic notions in locally convex topological vector spaces. Special attention is then devoted to weak compactness, in particular to the theorems of Eberlein–Šmulian, Grothendick and Dunford–Pettis. Leray–Schauder alternatives and eigenvalue problems for decomposable single-valued nonlinear weakly compact operators in Dunford–Pettis spaces are considered, in addition to some variants of Schauder, Krasnoselskii, Sadovskii, and Leray–Schauder type fixed point theorems for different classes of weakly sequentially continuous operators on general Banach spaces. The authors then proceed with an examination of Sadovskii, Furi–Pera, and Krasnoselskii fixed point theorems and nonlinear Leray–Schauder alternatives in the framework of weak topologies and involving multivalued mappings with weakly sequentially closed graph. These results are formulated in terms of axiomatic measures of weak noncompactness. The authors continue to present some fixed point theorems in a nonempty closed convex of any Banach algebras or Banach algebras satisfying a sequential condition (P) for the sum and the product of nonlinear weakly sequentially continuous operators, and illustrate the theory by considering functional integral and partial differential equations. The existence of fixed points, nonlinear Leray–Schauder alternatives for different classes of nonlinear (ws)-compact operators (weakly condensing, 1-set weakly contractive, strictly quasi-bounded) defined on an unbounded closed convex subset of a Banach space are also discussed. The authors also examine the existence of nonlinear eigenvalues and eigenvectors, as well as the surjectivity of quasibounded operators. Finally, some approximate fixed point theorems for multivalued mappings defined on Banach spaces. Weak and strong topologies play a role here and both bounded and unbounded regions are considered. The authors explicate a method developed to indicate how to use approximate fixed point theorems to prove the existence of approximate Nash equilibria for non-cooperative games. Fixed point theory is a powerful and fruitful tool in modern mathematics and may be considered as a core subject in nonlinear analysis. In the last 50 years, fixed point theory has been a flourishing area of research. As such, the monograph begins with an overview of these developments before gravitating towards topics selected to reflect the particular interests of the authors.
