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Multi Valued Superpositions
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Book Synopsis Multi-valued Superpositions by : Jürgen Appell
Download or read book Multi-valued Superpositions written by Jürgen Appell and published by . This book was released on 1995 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multiple-Valued Computing in Quantum Molecular Biology by : Hafiz Md. Hasan Babu
Download or read book Multiple-Valued Computing in Quantum Molecular Biology written by Hafiz Md. Hasan Babu and published by CRC Press. This book was released on 2023-10-03 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Multivalued Maps And Differential Inclusions: Elements Of Theory And Applications by : Valeri Obukhovskii
Download or read book Multivalued Maps And Differential Inclusions: Elements Of Theory And Applications written by Valeri Obukhovskii and published by World Scientific. This book was released on 2020-04-04 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Continuous Selections of Multivalued Mappings by : D. Repovs
Download or read book Continuous Selections of Multivalued Mappings written by D. Repovs and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces by : Mikhail I. Kamenskii
Download or read book Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces written by Mikhail I. Kamenskii and published by Walter de Gruyter. This book was released on 2011-07-20 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and Applications by : Afif Ben Amar
Download or read book Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and Applications written by Afif Ben Amar and published by Springer. This book was released on 2016-05-04 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Modern Uses of Multiple-Valued Logic by : M. Dunn
Download or read book Modern Uses of Multiple-Valued Logic written by M. Dunn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Multi-Valued Variational Inequalities and Inclusions by : Siegfried Carl
Download or read book Multi-Valued Variational Inequalities and Inclusions written by Siegfried Carl and published by Springer Nature. This book was released on 2021-03-02 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Multivalued Fields: In Condensed Matter, Electromagnetism, And Gravitation by : Kleinert Hagen
Download or read book Multivalued Fields: In Condensed Matter, Electromagnetism, And Gravitation written by Kleinert Hagen and published by World Scientific Publishing Company. This book was released on 2008-02-04 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book lays the foundations of the theory of fluctuating multivalued fields with numerous applications. Most prominent among these are phenomena dominated by the statistical mechanics of line-like objects, such as the phase transitions in superfluids and superconductors as well as the melting process of crystals, and the electromagnetic potential as a multivalued field that can produce a condensate of magnetic monopoles. In addition, multivalued mappings play a crucial role in deriving the physical laws of matter coupled to gauge fields and gravity with torsion from the laws of free matter. Through careful analysis of each of these applications, the book thus provides students and researchers with supplementary reading material for graduate courses on phase transitions, quantum field theory, gravitational physics, and differential geometry.
Book Synopsis Topological Fixed Point Theory of Multivalued Mappings by : Lech Górniewicz
Download or read book Topological Fixed Point Theory of Multivalued Mappings written by Lech Górniewicz and published by Springer Science & Business Media. This book was released on 2006-06-03 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Multiple Valued Logic by : D. Michael Miller
Download or read book Multiple Valued Logic written by D. Michael Miller and published by Morgan & Claypool Publishers. This book was released on 2008 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiple Valued Logic: Concepts and Representations begins with a survey of the use ofmultiple-valued logic in several modern application areas including electronic design automation algorithms and circuit design. The mathematical basis and concepts of various algebras and systems of multiple valued logic are provided including comparisons among various systems and examples of their application. The book also provides an examination of alternative representations of multiple-valued logic suitable for implementation as data structures in automated computer applications. Decision diagram structures for multiple valued applications are described in detail with particular emphasis on the recently developed quantum multiple valued decision diagram.
Download or read book Dissertationes mathematicae written by and published by . This book was released on 1998 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The City of God, the Bride of Christ, and the Second Death According to Revelation of John by : Victor Pierobon
Download or read book The City of God, the Bride of Christ, and the Second Death According to Revelation of John written by Victor Pierobon and published by Victor Pierobon. This book was released on 2018-12-18 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: The true consolidation of this book and 'How to Believe in Christ According to the Gospel of John' are both consolidated in "The Way, the Truth, and the Light According to the Gospel and Gospel and Revelation of John" which is FREE to download from here and others online. This is a sequel to "How to believe in Christ According to the Gospel of John". Revelation affirms reincarnation, that we are judged by our works, and describes the City of God as half the size of the planet Mercury - a volume able to accommodate more than 47,000 trillion apartments. It chronicles the redemption of Adam's lineage by the incorporation of God in Christ, and Christ in Adam's human lineage. The Second Death is mentioned four times in Revelation. It describes the Final Judgment of all souls, including the unforgivable souls and followers of Satan that are not in the Book of Life and other books regarding their works. The bad souls are cast into the Lake of Fire, assumed to perish, as Christ said in Matthew [10:28]: “And fear not them who kill the body, but are not able to kill the soul: but rather fear him who is able to destroy both soul and body in hell.” Matthew [13:30-40 ] lays out Revelation's plot: “Let both [the good and the evil] grow together until the harvest:... He that sows the good seed is the Son of man; 38 The field is the world; the good seed are the children of the kingdom, but the tares are the children of the wicked one; 39 The enemy that sowed them is the devil; the harvest is the end of the world; and the reapers are the angels. 40 As therefore the tares are gathered and burned in the fire [same as the second death's lake of fire in Revelation]; so shall it be in the end of this world.” And in comparison, Revelation [22:10-12] “Seal not the sayings of the prophecy of this book: for the time is at hand. [11] He that is unjust, let him be unjust still: and he which is filthy, let him be filthy still: and he that is righteous, let him be righteous still: and he that is holy, let him be holy still. [12] And, behold, I come quickly; and my reward is with me, to give every man according as his work shall be.” The analysis of John's Gospel and his Revelation vision is closely tied to Genesis, forming a non-contradictory system of beliefs. Pure Christianity is by far the toughest religion to follow. The true early Christians did not passively submit to torture and death because they liked it, but by believing in and following the teachings and example of Christ. It required a suppression of all of their survival instincts, procreation instincts, social approval and status, wealth, and worldly pleasures and passions. For example, it requests that followers to be celibate, give up worldly goods, turn the other cheek, give their shirt off their back, hate/deny their worldly life, avoid the honor of men, serve and feed all in need, seek martyrdom, and more. Yet it is also a most rewarding religion based on its ideals in the pureness of body, heart, mind, will, and awareness it advocates in the spirit. Unfortunately, very few can, and even those who spoke and saw Jesus directly had a very hard time following his teachings and example. Yet billions currently believe themselves to be true Christians. All true knowledge should be obtained internally by your own subjective effort and by the Holy Spirit of Truth and not just by reading, and if it were not so, Christ would have written copious works for us to be saved with just an easy read.
Book Synopsis How to Believe in Christ According to the Gospel of John by : Victor Pierobon
Download or read book How to Believe in Christ According to the Gospel of John written by Victor Pierobon and published by Victor Pierobon. This book was released on 2018-10-22 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: The true consolidation of this book and "The City of God, the Bride of Christ, and the Second Death According to Revelation of John"' are both consolidated in "The Way, the Truth, and the Light According to the Gospel and Revelation of John " which is FREE to download from here and other sources online. The book examines each statement in John's Gospel (KJV) and contains summaries sections. John the Beloved's Gospel does provide answers to help us understand: How we can believe in Christ and be saved by His Way, Truth, and Light (Way of Love, Spirit of Truth, and Light of God). Why Christ is a human, the Son of Man, and the Son of God. Why Christ's death did not immediately make all Men sinless, and create a new world and kingdom. As a great teacher, why Christ did not write books for us to be saved with just an easy read. How Adam, Eve, and the Tree of the Knowledge of Good and Evil is still relevant in Christianity. How we can see the face of God in Christ and not perish. The Gospels and John's Revelation have not disconnected works, both contain the same end-time plot: Matthew [13:30-40 ] lays out Revelation's plot: “Let both [the good and the evil] grow together until the harvest:... He that sows the good seed is the Son of man [Christ]; The field is the world; the good seed are the children of the kingdom, but the tares are the children of the wicked one; The enemy that sowed them is the devil; the harvest is the end of the world, and the reapers are the angels. As therefore the tares are gathered and burned in the fire [same as the second death's lake of fire in Revelation]; so shall it be in the end of this world.” Revelation [22:10-12] states: “Seal not the sayings of the prophecy of this book: for the time is at hand. He that is unjust, let him be unjust still: and he which is filthy, let him be filthy still: and he that is righteous, let him be righteous still: and he that is holy, let him be holy still. And, behold, I [Christ] come quickly; and my reward is with me, to give every man according as his work shall be.” My sequel book, "The City of God, the Bride of Christ, and the Second Death According to Revelation of John", is the second part of John's belief system.
Book Synopsis Automated Technology for Verification and Analysis by : Sungdeok Cha
Download or read book Automated Technology for Verification and Analysis written by Sungdeok Cha and published by Springer. This book was released on 2008-10-11 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 6th International Symposium on Automated Technology for Verification and Analysis, ATVA 2008, held in Seoul, Korea, in October 2008. The 21 revised full papers 5 short papers and 7 tool papers presented together with 3 invited talks were carefully reviewed and selected from 82 submissions. The focos lies on theoretical methods to achieve correct software or hardware systems, including both functional and non functional aspects; as well as on applications of theory in engineering methods and particular domains and handling of practical problems occurring in tools. The papers are organized in topical sections on model checking, software verification, decision procedures, linear-time analysis, tool demonstration papers, timed and stochastic systems, theory, and short papers.
Book Synopsis Entropy in Foundations of Quantum Physics by : Marcin Pawłowski
Download or read book Entropy in Foundations of Quantum Physics written by Marcin Pawłowski and published by MDPI. This book was released on 2020-12-15 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of outstanding papers on various aspects of entropy at the foundation of quantum physics. The covered topics range from purely foundational issues such as contextuality and Bell and Leggett–Garg inequalities to applications such as quantum key distribution, teleportation, and image encoding. The main ingredient binding them together in this book is that in all of the contained papers, entropy plays a key role either as a mathematical tool or as a link which bridges the gap between different fields of science.
Book Synopsis Computer Science and Multiple-Valued Logic by : David C. Rine
Download or read book Computer Science and Multiple-Valued Logic written by David C. Rine and published by Elsevier. This book was released on 2014-05-12 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.