A Survey Of Fractal Dimensions Of Networks

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A Survey of Fractal Dimensions of Networks

Author : Eric Rosenberg
Publisher : Springer
ISBN 13 : 3319900471
Total Pages : 87 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis A Survey of Fractal Dimensions of Networks by : Eric Rosenberg

Download or read book A Survey of Fractal Dimensions of Networks written by Eric Rosenberg and published by Springer. This book was released on 2018-05-29 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many different fractal dimensions have been proposed for networks. In A Survey of Fractal Dimensions of Networks the theory and computation of the most important of these dimensions are reviewed, including the box counting dimension, the correlation dimension, the mass dimension, the transfinite fractal dimension, the information dimension, the generalized dimensions (which provide a way to describe multifractals), and the sandbox method (for approximating the generalized dimensions). The book describes the use of diameter-based and radius-based boxes, and presents several heuristic methods for box counting, including greedy coloring, random sequential node burning, and a method for computing a lower bound. We also discuss very recent results on resolving ambiguity in the calculation of the information dimension and the generalized dimensions, and on the non-monotonicity of the generalized dimensions. Anyone interested in the theory and application of networks will want to read this Brief. This includes anyone studying, e.g., social networks, telecommunications networks, transportation networks, ecological networks, food chain networks, network models of the brain, or financial networks.

Fractal Dimensions of Networks

Author : Eric Rosenberg
Publisher : Springer Nature
ISBN 13 : 303043169X
Total Pages : 530 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Fractal Dimensions of Networks by : Eric Rosenberg

Download or read book Fractal Dimensions of Networks written by Eric Rosenberg and published by Springer Nature. This book was released on 2020-07-07 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Current interest in fractal dimensions of networks is the result of more than a century of previous research on dimensions. Fractal Dimensions of Networks ties the theory and methods for computing fractal dimensions of networks to the “classic” theory of dimensions of geometric objects. The goal of the book is to provide a unified treatment of fractal dimensions of sets and networks. Since almost all of the major concepts in fractal dimensions originated in the study of sets, the book achieves this goal by first clearly presenting, with an abundance of examples and illustrations, the theory and algorithms for sets, and then showing how the theory and algorithms have been applied to networks. Thus, the book presents the classical theory and algorithms for the box counting dimension for sets, and then presents the box counting dimension for networks. All the major fractal dimensions are studied, e.g., the correlation dimension, the information dimension, the Hausdorff dimension, the multifractal spectrum, as well as many lesser known dimensions. Algorithm descriptions are accompanied by worked examples, many applications of the methods are presented, and many exercises, ranging in difficulty from easy to research level, are included.

Fractals in Probability and Analysis

Author : Christopher J. Bishop
Publisher : Cambridge University Press
ISBN 13 : 1107134110
Total Pages : 415 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Fractals in Probability and Analysis by : Christopher J. Bishop

Download or read book Fractals in Probability and Analysis written by Christopher J. Bishop and published by Cambridge University Press. This book was released on 2017 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: A mathematically rigorous introduction to fractals, emphasizing examples and fundamental ideas while minimizing technicalities.

The Fractal Dimension of Architecture

Author : Michael J. Ostwald
Publisher : Birkhäuser
ISBN 13 : 3319324268
Total Pages : 429 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis The Fractal Dimension of Architecture by : Michael J. Ostwald

Download or read book The Fractal Dimension of Architecture written by Michael J. Ostwald and published by Birkhäuser. This book was released on 2016-09-01 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal analysis is a method for measuring, analysing and comparing the formal or geometric properties of complex objects. In this book it is used to investigate eighty-five buildings that have been designed by some of the twentieth-century’s most respected and celebrated architects. Including designs by Le Corbusier, Eileen Gray, Frank Lloyd Wright, Robert Venturi, Frank Gehry, Peter Eisenman, Richard Meier and Kazuyo Sejima amongst others, this book uses mathematics to analyse arguments and theories about some of the world’s most famous designs. Starting with 625 reconstructed architectural plans and elevations, and including more than 200 specially prepared views of famous buildings, this book presents the results of the largest mathematical study ever undertaken into architectural design and the largest single application of fractal analysis presented in any field. The data derived from this study is used to test three overarching hypotheses about social, stylistic and personal trends in design, along with five celebrated arguments about twentieth-century architecture. Through this process the book offers a unique mathematical insight into the history and theory of design.

Fractals in the Earth Sciences

Author : C.C. Barton
Publisher : Springer Science & Business Media
ISBN 13 : 1489913971
Total Pages : 277 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Fractals in the Earth Sciences by : C.C. Barton

Download or read book Fractals in the Earth Sciences written by C.C. Barton and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractals have changed the way we understand and study nature. This change has been brought about mainly by the work of B. B. Mandelbrot and his book The Fractal Geometry of Nature. Now here is a book that collects articles treating fractals in the earth sciences. The themes chosen span, as is appropriate for a discourse on fractals, many orders of magnitude; including earthquakes, ocean floor topography, fractures, faults, mineral crystallinity, gold and silver deposition. There are also chapters on dynamical processes that are fractal, such as rivers, earthquakes, and a paper on self-organized criticality. Many of the chapters discuss how to estimate fractal dimensions, Hurst exponents, and other scaling exponents. This book, in a way, represents a snapshot of a field in which fractals has brought inspiration and a fresh look at familiar subjects. New ideas and attempts to quantify the world we see around us are found throughout. Many of these ideas will grow and inspire further work, others will be superseded by new observations and insights, most probably with future contributions by the authors of these chapters.

Structure and Reactivity of Coal

Author : Ke-Chang Xie
Publisher : Springer
ISBN 13 : 3662473372
Total Pages : 416 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Structure and Reactivity of Coal by : Ke-Chang Xie

Download or read book Structure and Reactivity of Coal written by Ke-Chang Xie and published by Springer. This book was released on 2015-06-09 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides insights into the development and usage of coal in chemical engineering. The reactivity of coal in processes such as pyrolysis, gasification, liquefaction, combustion and swelling is related to its structural properties. Using experimental findings and theoretical analysis, the book comprehensively answers three crucial issues that are fundamental to the optimization of coal chemical conversions: What is the structure of coal? How does the underlying structure determine the reactivity of different types of coal? How does the structure of coal alter during coal conversion? This book will be of interest to both individual readers and institutions involved in teaching and research into chemical engineering and energy conversion technologies. It is aimed at advanced- level undergraduate students. The text is suitable for readers with a basic knowledge of chemistry, such as first-year undergraduate general science students. Higher-level students with an in-depth understanding of the chemistry of coal will also benefit from the book. It will provide a useful reference resource for students and university-level teachers, as well as practicing engineers.

Recent Developments in Intelligent Computing, Communication and Devices

Author : Srikanta Patnaik
Publisher : Springer
ISBN 13 : 9811089442
Total Pages : 1216 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Recent Developments in Intelligent Computing, Communication and Devices by : Srikanta Patnaik

Download or read book Recent Developments in Intelligent Computing, Communication and Devices written by Srikanta Patnaik and published by Springer. This book was released on 2018-08-22 with total page 1216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a collection of high-quality, peer-reviewed research papers presented at the International Conference on Intelligent Computing, Communication and Devices (ICCD 2017), discussing all dimensions of intelligent sciences – intelligent computing, intelligent communication, and intelligent devices. Intelligent computing addresses areas such as intelligent and distributed computing, intelligent grid and cloud computing, internet of things, soft computing and engineering applications, data mining and knowledge discovery, semantic and web technology, hybrid systems, agent computing, bioinformatics, and recommendation systems. Intelligent communication is concerned with communication and network technologies, such as mobile broadband and all optical networks that are the key to groundbreaking inventions of intelligent communication technologies. It includes communication hardware, software and networked intelligence, mobile technologies, machine-to-machine communication networks, speech and natural language processing, routing techniques and network analytics, wireless ad hoc and sensor networks, communications and information security, signal, image and video processing, network management, and traffic engineering. Lastly, intelligent devices are any equipment, instruments, or machines that have their own computing capability. As computing technology becomes more advanced and less expensive, it can be incorporated an increasing number of devices of all kinds. This area covers such as embedded systems, radiofrequency identification (RFID), radiofrequency microelectromechanical system (RF MEMS), very-large-scale integration (VLSI) design and electronic devices, analog and mixed-signal integrated circuit (IC) design and testing, microelectromechanical system (MEMS) and microsystems, solar cells and photonics, nanodevices, single electron and spintronics devices, space electronics, and intelligent robotics.

Developments and Applications in SmartRail, Traffic, and Transportation Engineering

Author : Limin Jia
Publisher : Springer Nature
ISBN 13 : 981973682X
Total Pages : 971 pages
Book Rating : 4.8/5 (197 download)

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Book Synopsis Developments and Applications in SmartRail, Traffic, and Transportation Engineering by : Limin Jia

Download or read book Developments and Applications in SmartRail, Traffic, and Transportation Engineering written by Limin Jia and published by Springer Nature. This book was released on with total page 971 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fractal Behaviour of the Earth System

Author : V.P. Dimri
Publisher : Springer Science & Business Media
ISBN 13 : 3540265368
Total Pages : 218 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Fractal Behaviour of the Earth System by : V.P. Dimri

Download or read book Fractal Behaviour of the Earth System written by V.P. Dimri and published by Springer Science & Business Media. This book was released on 2005-12-27 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is with pleasure that I write the foreword to this excellent book. A wide range of observations in geology and solid-earth geophysics can be - plained in terms of fractal distributions. In this volume a collection of - pers considers the fractal behavior of the Earth's continental crust. The book begins with an excellent introductory chapter by the editor Dr. V.P. Dimri. Surface gravity anomalies are known to exhibit power-law spectral behavior under a wide range of conditions and scales. This is self-affine fractal behavior. Explanations of this behavior remain controversial. In chapter 2 V.P. Dimri and R.P. Srivastava model this behavior using Voronoi tessellations. Another approach to understanding the structure of the continental crust is to use electromagnetic induction experiments. Again the results often exhibit power law spectral behavior. In chapter 3 K. Bahr uses a fractal based random resister network model to explain the observations. Other examples of power-law spectral observations come from a wide range of well logs using various logging tools. In chapter 4 M. Fedi, D. Fiore, and M. La Manna utilize multifractal models to explain the behavior of well logs from the main KTB borehole in Germany. In chapter 5 V.V. Surkov and H. Tanaka model the electrokinetic currents that may be as- ciated with seismic electric signals using a fractal porous media. In chapter 6 M. Pervukhina, Y. Kuwahara, and H. Ito use fractal n- works to correlate the elastic and electrical properties of porous media.

The Fractal Geometry of the Brain

Author : Antonio Di Ieva
Publisher : Springer
ISBN 13 : 1493939955
Total Pages : 583 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis The Fractal Geometry of the Brain by : Antonio Di Ieva

Download or read book The Fractal Geometry of the Brain written by Antonio Di Ieva and published by Springer. This book was released on 2016-08-03 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reviews the most intriguing applications of fractal analysis in neuroscience with a focus on current and future potential, limits, advantages, and disadvantages. Will bring an understanding of fractals to clinicians and researchers also if they do not have a mathematical background, and will serve as a good tool for teaching the translational applications of computational models to students and scholars of different disciplines. This comprehensive collection is organized in four parts: (1) Basics of fractal analysis; (2) Applications of fractals to the basic neurosciences; (3) Applications of fractals to the clinical neurosciences; (4) Analysis software, modeling and methodology.

Himalayan Geology

Author :
Publisher :
ISBN 13 :
Total Pages : 436 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Himalayan Geology by :

Download or read book Himalayan Geology written by and published by . This book was released on 2005 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Fractal Geometry of the Brain

Author : Antonio Di Ieva
Publisher : Springer Nature
ISBN 13 : 3031476069
Total Pages : 999 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis The Fractal Geometry of the Brain by : Antonio Di Ieva

Download or read book The Fractal Geometry of the Brain written by Antonio Di Ieva and published by Springer Nature. This book was released on with total page 999 pages. Available in PDF, EPUB and Kindle. Book excerpt:

U.S. Geological Survey Circular

Author :
Publisher :
ISBN 13 :
Total Pages : 678 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis U.S. Geological Survey Circular by :

Download or read book U.S. Geological Survey Circular written by and published by . This book was released on 1984 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dimensions of the Sustainable City

Author : Mike Jenks
Publisher : Springer Science & Business Media
ISBN 13 : 1402086474
Total Pages : 288 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Dimensions of the Sustainable City by : Mike Jenks

Download or read book Dimensions of the Sustainable City written by Mike Jenks and published by Springer Science & Business Media. This book was released on 2009-12-17 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The CityForm consortium’s latest book, Dimensions of the Sustainable City, is the first book to report on an empirical multi-disciplinary study specifically designed to address urban sustainability. Drawing together the various dimensions of sustainability – economic, social, transport, energy and ecological – the book examines their relationships both to each other and to urban form. The book investigates the sustainability dimensions of cities through a series of projects based on a common list of elements of urban form, and which draw on the consortium’s latest research to review the sustainability issues of each dimension. The elements of urban form include density, land use, location, accessibility, transport infrastructure and characteristics of the built environment. The book also addresses issues such as adapting cities, psychological and ecological benefits of green space and sustainable lifestyles, each presenting a critical review of the relevant literature followed by an empirical analysis presenting the key results. Based on studies across five UK cities, the book draws out findings of relevance to sustainable cities worldwide. As well as an invaluable reference to researchers in sustainable planning and urban design, the book will provide a useful text for advanced undergraduate and graduate courses and for policy makers dealing with these issues. The CityForm consortium is a multi-disciplinary group of researchers from five universities funded by the UK Engineering and Physical Science Research Council from 2003-07.

Futuristic Communication and Network Technologies

Author : A. Sivasubramanian
Publisher : Springer Nature
ISBN 13 : 9811646252
Total Pages : 1024 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Futuristic Communication and Network Technologies by : A. Sivasubramanian

Download or read book Futuristic Communication and Network Technologies written by A. Sivasubramanian and published by Springer Nature. This book was released on 2021-10-11 with total page 1024 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents select proceedings of the International Conference on Futuristic Communication and Network Technologies (CFCNT 2020) conducted at Vellore Institute of Technology, Chennai. It covers various domains in communication engineering and networking technologies. This volume comprises of recent research in areas like optical communication, optical networks, optics and optical computing, emerging trends in photonics, MEMS and sensors, active and passive RF components and devices, antenna systems and applications, RF devices and antennas for microwave emerging technologies, wireless communication for future networks, signal and image processing, machine learning/AI for networks, internet of intelligent things, network security and blockchain technologies. This book will be useful for researchers, professionals, and engineers working in the core areas of electronics and communication.

Proceedings of International Conference on Frontiers in Computing and Systems

Author : Debotosh Bhattacharjee
Publisher : Springer Nature
ISBN 13 : 9811578346
Total Pages : 895 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Proceedings of International Conference on Frontiers in Computing and Systems by : Debotosh Bhattacharjee

Download or read book Proceedings of International Conference on Frontiers in Computing and Systems written by Debotosh Bhattacharjee and published by Springer Nature. This book was released on 2020-11-23 with total page 895 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers outstanding research papers presented at the International Conference on Frontiers in Computing and Systems (COMSYS 2020), held on January 13–15, 2019 at Jalpaiguri Government Engineering College, West Bengal, India and jointly organized by the Department of Computer Science & Engineering and Department of Electronics & Communication Engineering. The book presents the latest research and results in various fields of machine learning, computational intelligence, VLSI, networks and systems, computational biology, and security, making it a rich source of reference material for academia and industry alike.

Modern and Interdisciplinary Problems in Network Science

Author : Zengqiang Chen
Publisher : CRC Press
ISBN 13 : 1351237292
Total Pages : 290 pages
Book Rating : 4.3/5 (512 download)

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Book Synopsis Modern and Interdisciplinary Problems in Network Science by : Zengqiang Chen

Download or read book Modern and Interdisciplinary Problems in Network Science written by Zengqiang Chen and published by CRC Press. This book was released on 2018-09-05 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern and Interdisciplinary Problems in Network Science: A Translational Research Perspective covers a broad range of concepts and methods, with a strong emphasis on interdisciplinarity. The topics range from analyzing mathematical properties of network-based methods to applying them to application areas. By covering this broad range of topics, the book aims to fill a gap in the contemporary literature in disciplines such as physics, applied mathematics and information sciences.