Algebraic Quasi—Fractal Logic of Smart Systems

Algebraic Quasi—Fractal Logic of Smart Systems PDF Author: Natalia Serdyukova
Publisher: Springer
ISBN: 9783031660399
Category : Computers
Languages : en
Pages : 0

Get Book Here

Book Description
This book is a continuation of the Algebraic Formalization of Smart Systems. Theory and Practice, 2018, and Algebraic Identification of Smart Systems. Theory and Practice, 2021. Algebraic logic refers to the connection between Boolean algebra and classical propositional calculus. This connection was discovered by George Boole and then developed by other mathematicians, such as C. S. Peirce and Ernst Schroeder. This trend culminated in the Lindenbaum-Tarski algebras. Here we try to connect algebraic logic and quasi-fractal technique, based on algebraic formalization of smart systems to get facts about smart systems functioning and connections of their qualitative and quantitative indicators. Basic techniques we used: algebraic quasi-fractal systems, Erdős–Rényi algorithm, a notion of –giant component of an algebraic system, fixed point theorem, purities, i.e., embeddings preserving -property of an algebraic system. The book is aimed for all interested in these issues.

Algebraic Quasi—Fractal Logic of Smart Systems

Algebraic Quasi—Fractal Logic of Smart Systems PDF Author: Natalia Serdyukova
Publisher: Springer
ISBN: 9783031660399
Category : Computers
Languages : en
Pages : 0

Get Book Here

Book Description
This book is a continuation of the Algebraic Formalization of Smart Systems. Theory and Practice, 2018, and Algebraic Identification of Smart Systems. Theory and Practice, 2021. Algebraic logic refers to the connection between Boolean algebra and classical propositional calculus. This connection was discovered by George Boole and then developed by other mathematicians, such as C. S. Peirce and Ernst Schroeder. This trend culminated in the Lindenbaum-Tarski algebras. Here we try to connect algebraic logic and quasi-fractal technique, based on algebraic formalization of smart systems to get facts about smart systems functioning and connections of their qualitative and quantitative indicators. Basic techniques we used: algebraic quasi-fractal systems, Erdős–Rényi algorithm, a notion of –giant component of an algebraic system, fixed point theorem, purities, i.e., embeddings preserving -property of an algebraic system. The book is aimed for all interested in these issues.

Algebraic Identification of Smart Systems

Algebraic Identification of Smart Systems PDF Author: Natalia A. Serdyukova
Publisher: Springer Nature
ISBN: 3030544702
Category : Technology & Engineering
Languages : en
Pages : 186

Get Book Here

Book Description
This book is a continuation of our recently published book “Algebraic formalization of smart systems. Theory and practice.” It incorporates a new concept of quasi-fractal algebraic systems, based on A.I. Maltsev’s theory of algebraic systems and the theory of fractals developed by Benoit Mandelbrot, to investigate smart systems in more detail. The main tool used in the book, quasi-fractal algebraic systems, helps us to see smart systems in more detail by adding new factors, which e.g. make it possible to describe the previously indivisible elements of the initial model of factors. The techniques presented include fixed-point theorem, theorems of group theory, theory of Boolean algebras, and Erdös-Renyi algorithms. Given its focus, the book is intended for anyone interested in smart system theory.

Smart Education and e-Learning—Smart University

Smart Education and e-Learning—Smart University PDF Author: Vladimir L. Uskov
Publisher: Springer Nature
ISBN: 9819929938
Category : Technology & Engineering
Languages : en
Pages : 300

Get Book Here

Book Description
This book contains the contributions presented at the 10th international KES conference on Smart Education and e-Learning (SEEL-2023) with the Smart University as the main conference theme. The conference is being held on June 14-16, 2023 in Rome, Italy in both in-person and online modes. The book contains high quality peer-reviewed papers that are grouped into several interconnected parts: Part 1 – Smart Education, Part 2 – Smart e-Learning, Part 3 – Smart University, Part 4 – Smart Education: Case Studies and Research, and Part 5 – Smart Company: Case Studies and Research. Smart education, smart e-learning, smart universities and smart companies are emerging and rapidly growing areas with the potential to transform the existing teaching strategies, learning environments, and educational/training activities and technology in academic institutions and training centers. Smart education/training and smart e-learning are focused on enabling instructors/trainers to develop innovative ways of achieving excellence in teaching in highly technological smart classrooms/labs, and providing students/learners with new opportunities to maximize their success and select the best options for their education/training, location and learning style, as well as the mode of content delivery. This book serves as a useful source of research data and valuable information on current research projects, best practices and case studies for faculty, scholars, Ph.D. students, administrators, and practitioners – all those who are interested in smart education, smart e-learning, smart university and smart business/company paradigms, concepts, systems and technology.

Smart Education and e-Learning - Smart Pedagogy

Smart Education and e-Learning - Smart Pedagogy PDF Author: Vladimir L. Uskov
Publisher: Springer Nature
ISBN: 9811931127
Category : Technology & Engineering
Languages : en
Pages : 543

Get Book Here

Book Description
This book serves as a reference for researchers and practitioners in academia and industry. Smart education, smart e-learning and smart pedagogy are emerging and rapidly growing areas that have a potential to transform existing teaching strategies, learning environments and educational activities and technology. They are focused at enabling instructors to develop innovative ways of achieving excellence in teaching in highly technological smart university and providing students with new opportunities to maximize their success using smart classrooms, smart systems and technology. This book contains the contributions presented at the 9th international KES conference on Smart Education and e-Learning (SEEL-2022) with the Smart Pedagogy as the main conference theme. It comprises of forty nine high-quality peer-reviewed papers that are grouped into several interconnected parts: Part 1—Smart Pedagogy, Part 2—Smart Education, Part 3—Smart e-Learning, Part 4—Smart University, Part 5—Smart Education: Systems and Technology, Part 6—Digital Humanities and Social Sciences for Smart University Development: the Innovative Methods, Models and Technologies, Part 7—Digital Transformation of Education and Economics in Smart University and Part 8—Smart Education for Children with Special Educational Needs. We believe this book will serve as a useful source of research data and valuable information for faculty, scholars, Ph.D. students, administrators and practitioners—those who are interested in smart education, smart e-learning and smart pedagogy.

Smart Education and e-Learning 2021

Smart Education and e-Learning 2021 PDF Author: Vladimir L. Uskov
Publisher: Springer Nature
ISBN: 9811628343
Category : Technology & Engineering
Languages : en
Pages : 506

Get Book Here

Book Description
This book contains the contributions presented at the 8th International KES Conference on Smart Education and e-Learning (KES SEEL 2021), which being held as a virtual conference on June 14–16, 2021. It contains high-quality peer-reviewed papers that are grouped into several interconnected parts: smart education; smart e-learning; smart education: systems and technology; smart education: case studies and research; digital education and economics in smart university, smart university development: organizational, managerial and social Issues; smart universities and their Impact on students with disabilities. This book serves as a useful source of research data and valuable information on current research projects, best practices, and case studies for faculty, scholars, Ph.D. students, administrators, and practitioners— all those who are interested in smart education and smart e-learning.

Smart Education and e-Learning 2020

Smart Education and e-Learning 2020 PDF Author: Vladimir L. Uskov
Publisher: Springer Nature
ISBN: 9811555842
Category : Technology & Engineering
Languages : en
Pages : 610

Get Book Here

Book Description
This book contains the contributions presented at the 7th international KES conference on Smart Education and e-Learning (KES SEEL-2020), which being held as a virtual conference on June 17-19, 2020. It contains fifty three high quality peer-reviewed papers that are grouped into several interconnected parts: Part 1 – Smart Education, Part 2 – Smart e-Learning, Part 3 – Smart Pedagogy, Part 4 - Smart Education: Systems and Technology, Part 5 – Smart Education: Case Studies and Research, Part 6 - Smart University Development: Organizational and Managerial Issues, Part 7 - Smart Education and Smart Universities and their Impact on Students with Disabilities, Part 8 - Mathematical Models in Smart Education and e-Learning, and Part 9 - Models of Professional Practice in Higher Education. Smart education and smart e-learning are emerging and rapidly growing areas with the potential to transform existing teaching strategies, learning environments, and educational activities and technology in the classroom. Smart education and smart e-learning focus on enabling instructors to develop new ways of achieving excellence in teaching in highly technological smart classrooms, and providing students with new opportunities to maximize their success and select the best options for their education, location and learning style, as well as the mode of content delivery. This book serves as a useful source of research data and valuable information on current research projects, best practices and case studies for faculty, scholars, Ph.D. students, administrators, and practitioners – all those who are interested in smart education and smart e-learning.

Fractal Analysis

Fractal Analysis PDF Author: Fernando Brambila
Publisher: BoD – Books on Demand
ISBN: 9535131915
Category : Mathematics
Languages : en
Pages : 296

Get Book Here

Book Description
Fractal analysis has entered a new era. The applications to different areas of knowledge have been surprising. Let us begin with the fractional calculus-fractal geometry relationship, which allows for modeling with extreme precision of phenomena such as diffusion in porous media with fractional partial differential equations in fractal objects. Where the order of the equation is the same as the fractal dimension, this allows us to make calculations with enormous precision in diffusion phenomena-particularly in the oil industry, for new spillage prevention. Main applications to industry, design of fractal antennas to receive all frequencies and that is used in all cell phones, spacecraft, radars, image processing, measure, porosity, turbulence, scattering theory. Benoit Mandelbrot, creator of fractal geometry, would have been surprised by the use of fractal analysis presented in this book: "Part I: Petroleum Industry and Numerical Analysis"; "Part II: Fractal Antennas, Spacecraft, Radars, Image Processing, and Measure"; and "Part III: Scattering Theory, Porosity, and Turbulence." It's impossible to picture today's research without fractal analysis.

An Invitation to Applied Category Theory

An Invitation to Applied Category Theory PDF Author: Brendan Fong
Publisher: Cambridge University Press
ISBN: 1108482295
Category : Computers
Languages : en
Pages : 351

Get Book Here

Book Description
Category theory reveals commonalities between structures of all sorts. This book shows its potential in science, engineering, and beyond.

The (Mis)Behaviour of Markets

The (Mis)Behaviour of Markets PDF Author: Benoit B. Mandelbrot
Publisher: Profile Books
ISBN: 1847651550
Category : Business & Economics
Languages : en
Pages : 352

Get Book Here

Book Description
This international bestseller, which foreshadowed a market crash, explains why it could happen again if we don't act now. Fractal geometry is the mathematics of roughness: how to reduce the outline of a jagged leaf or static in a computer connection to a few simple mathematical properties. With his fractal tools, Mandelbrot has got to the bottom of how financial markets really work. He finds they have a shifting sense of time and wild behaviour that makes them volatile, dangerous - and beautiful. In his models, the complex gyrations of the FTSE 100 and exchange rates can be reduced to straightforward formulae that yield a much more accurate description of the risks involved.

Mathematical Reviews

Mathematical Reviews PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1518

Get Book Here

Book Description