Calculus Without Derivatives
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Calculus Without Derivatives
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Author : Jean-Paul Penot
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-09
Calculus Without Derivatives written by Jean-Paul Penot 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 2012-11-09 with Mathematics categories.
Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. This textbook also provides significant tools and methods towards applications, in particular optimization problems. Whereas most books on this subject focus on a particular theory, this text takes a general approach including all main theories. In order to be self-contained, the book includes three chapters of preliminary material, each of which can be used as an independent course if needed. The first chapter deals with metric properties, variational principles, decrease principles, methods of error bounds, calmness and metric regularity. The second one presents the classical tools of differential calculus and includes a section about the calculus of variations. The third contains a clear exposition of convex analysis.
Fundamentals Of Convex Analysis And Optimization
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Author : Rafael Correa
language : en
Publisher: Springer Nature
Release Date : 2023-07-11
Fundamentals Of Convex Analysis And Optimization written by Rafael Correa and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-11 with Business & Economics categories.
This book aims at an innovative approach within the framework of convex analysis and optimization, based on an in-depth study of the behavior and properties of the supremum of families of convex functions. It presents an original and systematic treatment of convex analysis, covering standard results and improved calculus rules in subdifferential analysis. The tools supplied in the text allow a direct approach to the mathematical foundations of convex optimization, in particular to optimality and duality theory. Other applications in the book concern convexification processes in optimization, non-convex integration of the Fenchel subdifferential, variational characterizations of convexity, and the study of Chebychev sets. At the same time, the underlying geometrical meaning of all the involved concepts and operations is highlighted and duly emphasized. A notable feature of the book is its unifying methodology, as well as the novelty of providing an alternative or complementary view to the traditional one in which the discipline is presented to students and researchers. This textbook can be used for courses on optimization, convex and variational analysis, addressed to graduate and post-graduate students of mathematics, and also students of economics and engineering. It is also oriented to provide specific background for courses on optimal control, data science, operations research, economics (game theory), etc. The book represents a challenging and motivating development for those experts in functional analysis, convex geometry, and any kind of researchers who may be interested in applications of their work.
How Professionals Make Decisions
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Author : Henry Montgomery
language : en
Publisher: CRC Press
Release Date : 2004-09-23
How Professionals Make Decisions written by Henry Montgomery and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-09-23 with Psychology categories.
This volume is the fruit of the 5th conference on Naturalistic Decision Making which focused on the importance of studying people who have some degree of expertise in the domain in which they make decisions. The substantive concerns pertain to how individuals and groups make decisions in professional and organizational settings, and to develop suit
Explainable Ai And Other Applications Of Fuzzy Techniques
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Author : Julia Rayz
language : en
Publisher: Springer Nature
Release Date : 2021-07-27
Explainable Ai And Other Applications Of Fuzzy Techniques written by Julia Rayz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-27 with Technology & Engineering categories.
This book focuses on an overview of the AI techniques, their foundations, their applications, and remaining challenges and open problems. Many artificial intelligence (AI) techniques do not explain their recommendations. Providing natural-language explanations for numerical AI recommendations is one of the main challenges of modern AI. To provide such explanations, a natural idea is to use techniques specifically designed to relate numerical recommendations and natural-language descriptions, namely fuzzy techniques. This book is of interest to practitioners who want to use fuzzy techniques to make AI applications explainable, to researchers who may want to extend the ideas from these papers to new application areas, and to graduate students who are interested in the state-of-the-art of fuzzy techniques and of explainable AI—in short, to anyone who is interested in problems involving fuzziness and AI in general.
Convex Analysis And Beyond
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Author : Boris S. Mordukhovich
language : en
Publisher: Springer Nature
Release Date : 2022-04-24
Convex Analysis And Beyond written by Boris S. Mordukhovich and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-24 with Mathematics categories.
This book presents a unified theory of convex functions, sets, and set-valued mappings in topological vector spaces with its specifications to locally convex, Banach and finite-dimensional settings. These developments and expositions are based on the powerful geometric approach of variational analysis, which resides on set extremality with its characterizations and specifications in the presence of convexity. Using this approach, the text consolidates the device of fundamental facts of generalized differential calculus to obtain novel results for convex sets, functions, and set-valued mappings in finite and infinite dimensions. It also explores topics beyond convexity using the fundamental machinery of convex analysis to develop nonconvex generalized differentiation and its applications. The text utilizes an adaptable framework designed with researchers as well as multiple levels of students in mind. It includes many exercises and figures suited to graduate classes in mathematical sciences that are also accessible to advanced students in economics, engineering, and other applications. In addition, it includes chapters on convex analysis and optimization in finite-dimensional spaces that will be useful to upper undergraduate students, whereas the work as a whole provides an ample resource to mathematicians and applied scientists, particularly experts in convex and variational analysis, optimization, and their applications.
Unilateral Variational Analysis In Banach Spaces In 2 Parts
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Author : Lionel Thibault
language : en
Publisher: World Scientific
Release Date : 2023-02-14
Unilateral Variational Analysis In Banach Spaces In 2 Parts written by Lionel Thibault and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-14 with Mathematics categories.
The monograph provides a detailed and comprehensive presentation of the rich and beautiful theory of unilateral variational analysis in infinite dimensions. It is divided into two volumes named Part I and Part II. Starting with the convergence of sets and the semilimits and semicontinuities of multimappings, the first volume develops the theories of tangent cones, of subdifferentials, of convexity and duality in locally convex spaces, of extended mean value inequalities in absence of differentiability, of metric regularity, of constrained optimization problems.The second volume is devoted to special classes of non-smooth functions and sets. It expands the theory of subsmooth functions and sets, of semiconvex functions and multimappings, of primal lower regular functions, of singularities of non-smooth mappings, of prox-regular functions and sets in general spaces, of differentiability of projection mapping and others for prox-regular sets. Both volumes I and II contain, for each chapter, extensive comments covering related developments and historical comments.Connected area fields of the material are: optimization, optimal control, variational inequalities, differential inclusions, mechanics, economics. The book is intended for PhD students, researchers, and practitioners using unilateral variational analysis tools.
A Systemic Perspective On Cognition And Mathematics
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Author : Jeffrey Yi-Lin Forrest
language : en
Publisher: CRC Press
Release Date : 2013-02-28
A Systemic Perspective On Cognition And Mathematics written by Jeffrey Yi-Lin Forrest and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-28 with Computers categories.
This book is devoted to the study of human thought, its systemic structure, and the historical development of mathematics both as a product of thought and as a fascinating case analysis. After demonstrating that systems research constitutes the second dimension of modern science, the monograph discusses the yoyo model, a recent ground-breaking deve
5 Steps To A 5 Ap Physics C 2014 2015 Edition
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Author : Greg Jacobs
language : en
Publisher: McGraw Hill Professional
Release Date : 2013-08-02
5 Steps To A 5 Ap Physics C 2014 2015 Edition written by Greg Jacobs and has been published by McGraw Hill Professional this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-02 with Study Aids categories.
Get ready for your AP exam with this straightforward and easy-to-follow study guide, updated for all the latest exam changes! 5 Steps to a 5: AP Physics C features an effective, 5-step plan to guide your preparation program and help you build the skills, knowledge, and test-taking confidence you need to succeed. This fully revised edition covers the latest course syllabus and provides model tests that reflect the latest version of the exam. Inside you will find: 5-Step Plan to a Perfect 5: 1. Set Up Your Study Program 2. Determine Your Test Readiness 3. Develop Strategies for Success 4. Develop the Knowledge You Need to Score High 5. Build Your Test-Taking Confidence 2 complete practice AP Physics C exams 3 separate plans to fit your study style Review material updated and geared to the most recent tests Savvy information on how tests are constructed, scored, and used
5 Steps To A 5 Ap Physics B C 2012 2013 Edition
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Author : Greg Jacobs
language : en
Publisher: McGraw Hill Professional
Release Date : 2011-06-10
5 Steps To A 5 Ap Physics B C 2012 2013 Edition written by Greg Jacobs and has been published by McGraw Hill Professional this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-10 with Study Aids categories.
A Perfect Plan for the Perfect Score We want you to succeed on your AP* exam. That's why we've created this 5-step plan to help you study more effectively, use your preparation time wisely, and get your best score. This easy-to-follow guide offers you a complete review of your AP course, strategies to give you the edge on test day, and plenty of practice with AP-style test questions. You'll sharpen your subject knowledge, strengthen your thinking skills, and build your test-taking confidence with Full-length practice exams modeled on the real test All the terms and concepts you need to know to get your best score Your choice of three customized study schedules--so you can pick the one that meets your needs The 5-Step Plan helps you get the most out of your study time: Step 1: Set Up Your Study Program Step 2: Determine Your Readiness Step 3: Develop the Strategies Step 4: Review the Knowledge Step 5: Build Your Confidence Topics include: A Bit About Vectors * Free-Body Diagrams and Equilibrium * Kinematics * Newton's Second Law, F(net) = ma * Momentum * Energy Conservation * Gravitation and Circular Motion * Rotational Motion (for Physics C Students Only) * Simple Harmonic Motion * Thermodynamics (for Physics B Students Only) * Fluid Mechanics (for Physics B Students Only) * Electrostatics * Circuits * Magnetism * Waves * Optics (for Physics B Students Only) * Atomic and Nuclear Physics (for Physics B Students Only)
The Century Dictionary And Cyclopedia The Century Dictionary Prepared Under The Superintendence Of W D Whitney
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Author : William Dwight Whitney
language : en
Publisher:
Release Date : 1900
The Century Dictionary And Cyclopedia The Century Dictionary Prepared Under The Superintendence Of W D Whitney written by William Dwight Whitney and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1900 with Atlases categories.