Analysis in Integer and Fractional Dimensions

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Publisher : Cambridge University Press
ISBN 13 : 1139427938
Total Pages : 580 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Analysis in Integer and Fractional Dimensions by : Ron Blei

Download or read book Analysis in Integer and Fractional Dimensions written by Ron Blei and published by Cambridge University Press. This book was released on 2001-07-19 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a thorough and self-contained study of interdependence and complexity in settings of functional analysis, harmonic analysis and stochastic analysis. It focuses on 'dimension' as a basic counter of degrees of freedom, leading to precise relations between combinatorial measurements and various indices originating from the classical inequalities of Khintchin, Littlewood and Grothendieck. The basic concepts of fractional Cartesian products and combinatorial dimension are introduced and linked to scales calibrated by harmonic-analytic and stochastic measurements. Topics include the (two-dimensional) Grothendieck inequality and its extensions to higher dimensions, stochastic models of Brownian motion, degrees of randomness and Frechet measures in stochastic analysis. This book is primarily aimed at graduate students specialising in harmonic analysis, functional analysis or probability theory. It contains many exercises and is suitable to be used as a textbook. It is also of interest to scientists from other disciplines, including computer scientists, physicists, statisticians, biologists and economists.

Fractal Analysis

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Publisher : SAGE
ISBN 13 : 1412971659
Total Pages : 113 pages
Book Rating : 4.4/5 (129 download)

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Book Synopsis Fractal Analysis by : Clifford Brown

Download or read book Fractal Analysis written by Clifford Brown and published by SAGE. This book was released on 2010-04-14 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: A specialized presentation of fractal analysis oriented to the social sciences This primer uses straightforward language to give the reader step-by-step instructions for identifying and analyzing fractal patterns and the social process that create them. By making fractals accessible to the social science students, this book has a significant impact on the understanding of human behavior. Key Features Detailed examples help readers learn and understand the analytical methods presented. Matlab codes for programs allow users to implement, on their own, some of the techniques described in the text. Visit http://www.ccs.fau.edu/~liebovitch/larry.html for more details. Clear and logical explanations of fractals and their analysis enable the instructor to easily teach and the student to easily learn the material. This is the only book designed to introduce fractal analysis to a general social science audience. Learn more about “The Little Green Book” - QASS Series! Click Here

Fractals in Probability and Analysis

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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.

System Analysis & Intelligent Computing

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Publisher : Springer Nature
ISBN 13 : 3030949109
Total Pages : 414 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis System Analysis & Intelligent Computing by : Michael Zgurovsky

Download or read book System Analysis & Intelligent Computing written by Michael Zgurovsky and published by Springer Nature. This book was released on 2022-03-25 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains the newest advances related to research and development of complex intellectual systems of various nature, acting under conditions of uncertainty and multifactor risks, intelligent systems for decision-making, high performance computing, state-of-the-art information technologies for needs of science, industry, economy, and environment. The most important problems of sustainable development and global threats estimation, forecast and foresight in tasks of planning and strategic decision-making are investigated. This monograph will be useful to researchers, post-graduates, and advanced students specializing in system analysis, decision-making, strategic planning or engineering design, fundamentals of computational Intelligence, artificial Intelligence systems based on hybrid neural networks, big data, and data mining.

Frontiers of Fractal Analysis

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Publisher : CRC Press
ISBN 13 : 1000625877
Total Pages : 183 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis Frontiers of Fractal Analysis by : Santo Banerjee

Download or read book Frontiers of Fractal Analysis written by Santo Banerjee and published by CRC Press. This book was released on 2022-07-07 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: The history of describing natural objects using geometry is as old as the advent of science itself, in which traditional shapes are the basis of our intuitive understanding of geometry. However, nature is not restricted to such Euclidean objects which are only characterized typically by integer dimensions. Hence, the conventional geometric approach cannot meet the requirements of solving or analysing nonlinear problems which are related with natural phenomena, therefore, the fractal theory has been born, which aims to understand complexity and provide an innovative way to recognize irregularity and complex systems. Although the concepts of fractal geometry have found wide applications in many forefront areas of science, engineering and societal issues, they also have interesting implications of a more practical nature for the older classical areas of science. Since its discovery, there has been a surge of research activities in using this powerful concept in almost every branch of scientific disciplines to gain deep insights into many unresolved problems. This book includes eight chapters which focus on gathering cutting-edge research and proposing application of fractals features in both traditional scientific disciplines and in applied fields.

Mathematical Foundations of Image Processing and Analysis, Volume 2

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Publisher : John Wiley & Sons
ISBN 13 : 1118984552
Total Pages : 397 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis Mathematical Foundations of Image Processing and Analysis, Volume 2 by : Jean-Charles Pinoli

Download or read book Mathematical Foundations of Image Processing and Analysis, Volume 2 written by Jean-Charles Pinoli and published by John Wiley & Sons. This book was released on 2014-07-22 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Imaging is currently a rapidly growing field in applied mathematics, with an increasing need for theoretical mathematics. This book, the second of two volumes, emphasizes the role of mathematics as a rigorous basis for imaging sciences. It provides a comprehensive and convenient overview of the key mathematical concepts, notions, tools and frameworks involved in the various fields of gray-tone and binary image processing and analysis, by proposing a large, but coherent, set of symbols and notations, a complete list of subjects and a detailed bibliography. It establishes a bridge between the pure and applied mathematical disciplines, and the processing and analysis of gray-tone and binary images. It is accessible to readers who have neither extensive mathematical training, nor peer knowledge in Image Processing and Analysis. It is a self-contained book focusing on the mathematical notions, concepts, operations, structures, and frameworks that are beyond or involved in Image Processing and Analysis. The notations are simplified as far as possible in order to be more explicative and consistent throughout the book and the mathematical aspects are systematically discussed in the image processing and analysis context, through practical examples or concrete illustrations. Conversely, the discussed applicative issues allow the role of mathematics to be highlighted. Written for a broad audience – students, mathematicians, image processing and analysis specialists, as well as other scientists and practitioners – the author hopes that readers will find their own way of using the book, thus providing a mathematical companion that can help mathematicians become more familiar with image processing and analysis, and likewise, image processing and image analysis scientists, researchers and engineers gain a deeper understanding of mathematical notions and concepts.

Fractal Functions, Dimensions and Signal Analysis

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Publisher : Springer Nature
ISBN 13 : 3030626725
Total Pages : 132 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Fractal Functions, Dimensions and Signal Analysis by : Santo Banerjee

Download or read book Fractal Functions, Dimensions and Signal Analysis written by Santo Banerjee and published by Springer Nature. This book was released on 2020-12-14 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the fractal interpolation functions (FIFs) in approximation theory to the readers and the concerned researchers in advanced level. FIFs can be used to precisely reconstruct the naturally occurring functions when compared with the classical interpolants. The book focuses on the construction of fractals in metric space through various iterated function systems. It begins by providing the Mathematical background behind the fractal interpolation functions with its graphical representations and then introduces the fractional integral and fractional derivative on fractal functions in various scenarios. Further, the existence of the fractal interpolation function with the countable iterated function system is demonstrated by taking suitable monotone and bounded sequences. It also covers the dimension of fractal functions and investigates the relationship between the fractal dimension and the fractional order of fractal interpolation functions. Moreover, this book explores the idea of fractal interpolation in the reconstruction scheme of illustrative waveforms and discusses the problems of identification of the characterizing parameters. In the application section, this research compendium addresses the signal processing and its Mathematical methodologies. A wavelet-based denoising method for the recovery of electroencephalogram (EEG) signals contaminated by nonstationary noises is presented, and the author investigates the recognition of healthy, epileptic EEG and cardiac ECG signals using multifractal measures. This book is intended for professionals in the field of Mathematics, Physics and Computer Science, helping them broaden their understanding of fractal functions and dimensions, while also providing the illustrative experimental applications for researchers in biomedicine and neuroscience.

Fractional Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642140033
Total Pages : 504 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Fractional Dynamics by : Vasily E. Tarasov

Download or read book Fractional Dynamics written by Vasily E. Tarasov and published by Springer Science & Business Media. This book was released on 2011-01-04 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media" presents applications of fractional calculus, integral and differential equations of non-integer orders in describing systems with long-time memory, non-local spatial and fractal properties. Mathematical models of fractal media and distributions, generalized dynamical systems and discrete maps, non-local statistical mechanics and kinetics, dynamics of open quantum systems, the hydrodynamics and electrodynamics of complex media with non-local properties and memory are considered. This book is intended to meet the needs of scientists and graduate students in physics, mechanics and applied mathematics who are interested in electrodynamics, statistical and condensed matter physics, quantum dynamics, complex media theories and kinetics, discrete maps and lattice models, and nonlinear dynamics and chaos. Dr. Vasily E. Tarasov is a Senior Research Associate at Nuclear Physics Institute of Moscow State University and an Associate Professor at Applied Mathematics and Physics Department of Moscow Aviation Institute.

Recent Issues in Pattern Analysis and Recognition

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540518150
Total Pages : 1060 pages
Book Rating : 4.5/5 (181 download)

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Book Synopsis Recent Issues in Pattern Analysis and Recognition by : Virginio Cantoni

Download or read book Recent Issues in Pattern Analysis and Recognition written by Virginio Cantoni and published by Springer Science & Business Media. This book was released on 1989-12-20 with total page 1060 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers readers a broad view of research in some Western and Eastern European countries on pattern and signal analysis, and on coding, handling and measurement of images. It is a selection of refereed papers from two sources: first, a satellite conference within the biannual International Conference on Pattern Recognition held in Rome, November 14-17, 1988, and second, work done at the International Basic Laboratory on Image Processing and Computer Graphics, Berlin, GDR. The papers are grouped into three sections. The first section contains new proposals for the specific computation of particular features of digital images and the second section is devoted to the introduction and testing of general approaches to the solution of problems met in digital geometry, image coding, feature extraction and object classification. The third section illustrates some recent practical results obtained on real images specifically in character and speech recognition as well as in biomedicine. All the techniques illustrated in this book will find direct application in the near future. This book should interest and stimulate the reader, provoke new thoughts and encourage further research in this widely appealing field.

Spatial Analysis

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Publisher : Cambridge University Press
ISBN 13 : 9780521804349
Total Pages : 386 pages
Book Rating : 4.8/5 (43 download)

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Book Synopsis Spatial Analysis by : Marie-Josée Fortin

Download or read book Spatial Analysis written by Marie-Josée Fortin and published by Cambridge University Press. This book was released on 2005-04-21 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: An overview of the wide range of spatial statistics available to analyse ecological data.

Image Analysis and Processing -- ICIAP 2009

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Publisher : Springer Science & Business Media
ISBN 13 : 3642041450
Total Pages : 1075 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Image Analysis and Processing -- ICIAP 2009 by : Carlo Sansone

Download or read book Image Analysis and Processing -- ICIAP 2009 written by Carlo Sansone and published by Springer Science & Business Media. This book was released on 2009-09-03 with total page 1075 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 15th International Conference on Image Analysis and Processing, ICIAP 2009, held in Vietri sul Mare, Italy, in September 2009. The 107 revised full papers presented together with 3 invited papers were carefully reviewed and selected from 168 submissions. The papers are organized in topical sections on computer graphics and image processing, low and middle level processing, 2D and 3D segmentation, feature extraction and image analysis, object detection and recognition, video analysis and processing, pattern analysis and classification, learning, graphs and trees, applications, shape analysis, face analysis, medical imaging, and image analysis and pattern recognition.

Fractal Analysis

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Publisher : SAGE Publications
ISBN 13 : 148334312X
Total Pages : 113 pages
Book Rating : 4.4/5 (833 download)

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Book Synopsis Fractal Analysis by : Clifford Brown

Download or read book Fractal Analysis written by Clifford Brown and published by SAGE Publications. This book was released on 2010-04-14 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: A specialized presentation of fractal analysis oriented to the social sciences This primer uses straightforward language to give the reader step-by-step instructions for identifying and analyzing fractal patterns and the social process that create them. By making fractals accessible to the social science students, this book has a significant impact on the understanding of human behavior. This is the only book designed to introduce fractal analysis to a general social science audience.

Intelligent Data Analysis

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Publisher : Springer
ISBN 13 : 3540486259
Total Pages : 515 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Intelligent Data Analysis by : Michael R. Berthold

Download or read book Intelligent Data Analysis written by Michael R. Berthold and published by Springer. This book was released on 2007-06-07 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second and revised edition contains a detailed introduction to the key classes of intelligent data analysis methods. The twelve coherently written chapters by leading experts provide complete coverage of the core issues. The first half of the book is devoted to the discussion of classical statistical issues. The following chapters concentrate on machine learning and artificial intelligence, rule induction methods, neural networks, fuzzy logic, and stochastic search methods. The book concludes with a chapter on visualization and an advanced overview of IDA processes.

Computer Analysis of Images and Patterns

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Publisher :
ISBN 13 :
Total Pages : 276 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Computer Analysis of Images and Patterns by :

Download or read book Computer Analysis of Images and Patterns written by and published by . This book was released on 1989 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Soliton Equations and their Algebro-Geometric Solutions: Volume 1, (1+1)-Dimensional Continuous Models

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Publisher : Cambridge University Press
ISBN 13 : 9781139439411
Total Pages : 522 pages
Book Rating : 4.4/5 (394 download)

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Book Synopsis Soliton Equations and their Algebro-Geometric Solutions: Volume 1, (1+1)-Dimensional Continuous Models by : Fritz Gesztesy

Download or read book Soliton Equations and their Algebro-Geometric Solutions: Volume 1, (1+1)-Dimensional Continuous Models written by Fritz Gesztesy and published by Cambridge University Press. This book was released on 2003-06-05 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus of this book is on algebro-geometric solutions of completely integrable nonlinear partial differential equations in (1+1)-dimensions, also known as soliton equations. Explicitly treated integrable models include the KdV, AKNS, sine-Gordon, and Camassa-Holm hierarchies as well as the classical massive Thirring system. An extensive treatment of the class of algebro-geometric solutions in the stationary as well as time-dependent contexts is provided. The formalism presented includes trace formulas, Dubrovin-type initial value problems, Baker-Akhiezer functions, and theta function representations of all relevant quantities involved. The book uses techniques from the theory of differential equations, spectral analysis, and elements of algebraic geometry (most notably, the theory of compact Riemann surfaces). The presentation is rigorous, detailed, and self-contained, with ample background material provided in various appendices. Detailed notes for each chapter together with an exhaustive bibliography enhance the presentation offered in the main text.

Galileo Unbound

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Publisher : Oxford University Press
ISBN 13 : 0192528505
Total Pages : 384 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis Galileo Unbound by : David D. Nolte

Download or read book Galileo Unbound written by David D. Nolte and published by Oxford University Press. This book was released on 2018-07-12 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Galileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman's dilemma of quantum particles taking all paths at once — setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world.

Biomimetic Approaches in Engineering Practice

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Publisher : Trans Tech Publications Ltd
ISBN 13 : 3035734453
Total Pages : 1830 pages
Book Rating : 4.0/5 (357 download)

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Book Synopsis Biomimetic Approaches in Engineering Practice by : Stanislav Kolisnychenko

Download or read book Biomimetic Approaches in Engineering Practice written by Stanislav Kolisnychenko and published by Trans Tech Publications Ltd. This book was released on 2018-06-18 with total page 1830 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aggregated Book