A Guide To Nip Theories

Author : Pierre Simon
Publisher : Cambridge University Press
ISBN 13 : 1107057752
Total Pages : 165 pages
Book Rating : 4.53/5 ( download)

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Download or read book A Guide to NIP Theories written by Pierre Simon and published by Cambridge University Press. This book was released on 2015-07-16 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book to introduce the rapidly developing subject of NIP theories, for students and researchers in model theory.

Author : Matthias Aschenbrenner
Publisher : Princeton University Press
ISBN 13 : 1400885418
Total Pages : 880 pages
Book Rating : 4.11/5 ( download)

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Download or read book Asymptotic Differential Algebra and Model Theory of Transseries written by Matthias Aschenbrenner and published by Princeton University Press. This book was released on 2017-06-06 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asymptotic differential algebra seeks to understand the solutions of differential equations and their asymptotics from an algebraic point of view. The differential field of transseries plays a central role in the subject. Besides powers of the variable, these series may contain exponential and logarithmic terms. Over the last thirty years, transseries emerged variously as super-exact asymptotic expansions of return maps of analytic vector fields, in connection with Tarski's problem on the field of reals with exponentiation, and in mathematical physics. Their formal nature also makes them suitable for machine computations in computer algebra systems. This self-contained book validates the intuition that the differential field of transseries is a universal domain for asymptotic differential algebra. It does so by establishing in the realm of transseries a complete elimination theory for systems of algebraic differential equations with asymptotic side conditions. Beginning with background chapters on valuations and differential algebra, the book goes on to develop the basic theory of valued differential fields, including a notion of differential-henselianity. Next, H-fields are singled out among ordered valued differential fields to provide an algebraic setting for the common properties of Hardy fields and the differential field of transseries. The study of their extensions culminates in an analogue of the algebraic closure of a field: the Newton-Liouville closure of an H-field. This paves the way to a quantifier elimination with interesting consequences.

Author : Jose Iovino
Publisher : CRC Press
ISBN 13 : 042955866X
Total Pages : 596 pages
Book Rating : 4.65/5 ( download)

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Download or read book Beyond First Order Model Theory, Volume II written by Jose Iovino and published by CRC Press. This book was released on 2023-07-03 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Model theory is the meta-mathematical study of the concept of mathematical truth. After Afred Tarski coined the term Theory of Models in the early 1950’s, it rapidly became one of the central most active branches of mathematical logic. In the last few decades, ideas that originated within model theory have provided powerful tools to solve problems in a variety of areas of classical mathematics, including algebra, combinatorics, geometry, number theory, and Banach space theory and operator theory. The two volumes of Beyond First Order Model Theory present the reader with a fairly comprehensive vista, rich in width and depth, of some of the most active areas of contemporary research in model theory beyond the realm of the classical first-order viewpoint. Each chapter is intended to serve both as an introduction to a current direction in model theory and as a presentation of results that are not available elsewhere. All the articles are written so that they can be studied independently of one another. This second volume contains introductions to real-valued logic and applications, abstract elementary classes and applications, interconnections between model theory and function spaces, nonstucture theory, and model theory of second-order logic. Features A coherent introduction to current trends in model theory. Contains articles by some of the most influential logicians of the last hundred years. No other publication brings these distinguished authors together. Suitable as a reference for advanced undergraduate, postgraduates, and researchers. Material presented in the book (e.g, abstract elementary classes, first-order logics with dependent sorts, and applications of infinitary logics in set theory) is not easily accessible in the current literature. The various chapters in the book can be studied independently.

Author : Anthony W. Lin
Publisher : Springer Nature
ISBN 13 : 3031191358
Total Pages : 215 pages
Book Rating : 4.50/5 ( download)

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Download or read book Reachability Problems written by Anthony W. Lin and published by Springer Nature. This book was released on 2022-10-12 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 15th International Conference on Reachability Problems, RP 2022, held in Kaiserslautern, Germany, in October 2022. The 8 full papers presented were carefully reviewed and selected from 14 submissions. In addition, 3 invited papers were included in this volume. The RP proceedings cover topics such as reachability for infinite state systems; rewriting systems; reachability analysis in counter/timed/cellular/communicating automata; Petri nets; computational aspects of semigroups, groups, and rings; reachability in dynamical and hybrid systems; frontiers between decidable and undecidable reachability problems; complexity and decidability aspects; predictability in iterative maps; and new computational paradigms.

Author : Meir Hemmo
Publisher : Springer Nature
ISBN 13 : 3030343162
Total Pages : 635 pages
Book Rating : 4.63/5 ( download)

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Download or read book Quantum, Probability, Logic written by Meir Hemmo and published by Springer Nature. This book was released on 2020-04-07 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a broad perspective on the state of the art in the philosophy and conceptual foundations of quantum mechanics. Its essays take their starting point in the work and influence of Itamar Pitowsky, who has greatly influenced our understanding of what is characteristically non-classical about quantum probabilities and quantum logic, and this serves as a vantage point from which they reflect on key ongoing debates in the field. Readers will find a definitive and multi-faceted description of the major open questions in the foundations of quantum mechanics today, including: Is quantum mechanics a new theory of (contextual) probability? Should the quantum state be interpreted objectively or subjectively? How should probability be understood in the Everett interpretation of quantum mechanics? What are the limits of the physical implementation of computation? The impact of this volume goes beyond the exposition of Pitowsky’s influence: it provides a unique collection of essays by leading thinkers containing profound reflections on the field. Chapter 1. Classical logic, classical probability, and quantum mechanics (Samson Abramsky) Chapter 2. Why Scientific Realists Should Reject the Second Dogma of Quantum Mechanic (Valia Allori) Chapter 3. Unscrambling Subjective and Epistemic Probabilities (Guido Bacciagaluppi) Chapter 4. Wigner’s Friend as a Rational Agent (Veronika Baumann, Časlav Brukner) Chapter 5. Pitowsky's Epistemic Interpretation of Quantum Mechanics and the PBR Theorem (Yemima Ben-Menahem) Chapter 6. On the Mathematical Constitution and Explanation of Physical Facts (Joseph Berkovitz) Chapter 7. Everettian probabilities, the Deutsch-Wallace theorem and the Principal Principle (Harvey R. Brown, Gal Ben Porath) Chapter 8. ‘Two Dogmas’ Redu (Jeffrey Bub) Chapter 9. Physical Computability Theses (B. Jack Copeland, Oron Shagrir) Chapter 10. Agents in Healey’s Pragmatist Quantum Theory: A Comparison with Pitowsky’s Approach to Quantum Mechanics (Mauro Dorato) Chapter 11. Quantum Mechanics As a Theory of Observables and States and, Thereby, As a Theory of Probability (John Earman, Laura Ruetsche) Chapter 12. The Measurement Problem and two Dogmas about Quantum Mechanic (Laura Felline) Chapter 13. There Is More Than One Way to Skin a Cat: Quantum Information Principles In a Finite World(Amit Hagar) Chapter 14. Is Quantum Mechanics a New Theory of Probability? (Richard Healey) Chapter 15. Quantum Mechanics as a Theory of Probability (Meir Hemmo, Orly Shenker) Chapter 16. On the Three Types of Bell's Inequalities (Gábor Hofer-Szabó) Chapter 17. On the Descriptive Power of Probability Logic (Ehud Hrushovski) Chapter 18. The Argument against Quantum Computers (Gil Kalai) Chapter 19. Why a Relativistic Quantum Mechanical World Must be Indeterministic (Avi Levy, Meir Hemmo) Chapter 20. Subjectivists about Quantum Probabilities Should be Realists about Quantum States (Wayne C. Myrvold) Chapter 21. The Relativistic Einstein-Podolsky-Rosen Argument (Michael Redhead) Chapter 22. What price statistical independence? How Einstein missed the photon.(Simon Saunders) Chapter 23. How (Maximally) Contextual is Quantum Mechanics? (Andrew W. Simmons) Chapter 24. Roots and (Re)Sources of Value (In)Definiteness Versus Contextuality (Karl Svozil) Chapter 25: Schrödinger’s Reaction to the EPR Paper (Jos Uffink) Chapter 26. Derivations of the Born Rule (Lev Vaidman) Chapter 27. Dynamical States and the Conventionality of (Non-) Classicality (Alexander Wilce).

Author : Fabrizio Broglia
Publisher : American Mathematical Soc.
ISBN 13 : 1470429667
Total Pages : 366 pages
Book Rating : 4.69/5 ( download)

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Download or read book Ordered Algebraic Structures and Related Topics written by Fabrizio Broglia and published by American Mathematical Soc.. This book was released on 2017 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the international conference ""Ordered Algebraic Structures and Related Topics'', held from October 12-16, 2015, at CIRM, Luminy, Marseilles, France. Papers contained in this volume cover topics in real analytic geometry, real algebra, and real algebraic geometry including complexity issues, model theory of various algebraic and differential structures, Witt equivalence of fields, and the moment problem.

Author : Gravure Technical Association
Publisher :
ISBN 13 :
Total Pages : 338 pages
Book Rating : 4.68/5 ( download)

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Download or read book Technical Guide for the Gravure Industry written by Gravure Technical Association and published by . This book was released on 1975 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Zeev Maoz
Publisher : Cambridge University Press
ISBN 13 : 1139492497
Total Pages : 449 pages
Book Rating : 4.92/5 ( download)

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Download or read book Networks of Nations written by Zeev Maoz and published by Cambridge University Press. This book was released on 2010-12-06 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maoz views the evolution of international relations over the last two centuries as a set of interacting, cooperative and conflicting networks of states. The networks that emerged are the result of national choice processes about forming or breaking ties with other states. States are constantly concerned with their security and survival in an anarchic world. Their security concerns stem from their external environment and their past conflicts. Because many of them cannot ensure their security by their own power, they need allies to balance against a hostile international environment. The alliance choices made by states define the structure of security cooperation networks and spill over into other cooperative networks, including trade and institutions. Maoz tests his theory by applying social networks analysis (SNA) methods to international relations. He offers a novel perspective as a system of interrelated networks that co-evolve and interact with one another.

Author : Sean Nicholson
Publisher : Lulu.com
ISBN 13 : 1411610415
Total Pages : 94 pages
Book Rating : 4.15/5 ( download)

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Download or read book Namibian Wildlife - An Alternative Guide for the Traveller on Safari written by Sean Nicholson and published by Lulu.com. This book was released on 2004-07-01 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: An informal guide to the wildlife of Namibia.

Author : Jonathan Kirby
Publisher : Cambridge University Press
ISBN 13 : 1316732398
Total Pages : 197 pages
Book Rating : 4.97/5 ( download)

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Download or read book An Invitation to Model Theory written by Jonathan Kirby and published by Cambridge University Press. This book was released on 2019-04-18 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: Model theory begins with an audacious idea: to consider statements about mathematical structures as mathematical objects of study in their own right. While inherently important as a tool of mathematical logic, it also enjoys connections to and applications in diverse branches of mathematics, including algebra, number theory and analysis. Despite this, traditional introductions to model theory assume a graduate-level background of the reader. In this innovative textbook, Jonathan Kirby brings model theory to an undergraduate audience. The highlights of basic model theory are illustrated through examples from specific structures familiar from undergraduate mathematics, paying particular attention to definable sets throughout. With numerous exercises of varying difficulty, this is an accessible introduction to model theory and its place in mathematics.