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L-System Fractals

L-System Fractals
A Book

by Jibitesh Mishra,Sarojananda Mishra

  • Publisher : Elsevier
  • Release : 2007-01-08
  • Pages : 274
  • ISBN : 9780080469386
  • Language : En, Es, Fr & De
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L-System Fractals covers all the fundamental aspects of generating fractals through L-system. Also it provides insight to various researches in this area for generating fractals through L-system approach & estimating dimensions. Also it discusses various applications of L-system fractals. Fractals generated from L-System including hybrid fractals Dimension calculation for L-system fractals Images and codes for L-system fractals Research directions in the area of L-system fractals Usage of various freely downloadable tools in this area

Lindenmayer Systems, Fractals, and Plants

Lindenmayer Systems, Fractals, and Plants
A Book

by Przemyslaw Prusinkiewicz,James Hanan

  • Publisher : Springer Science & Business Media
  • Release : 2013-11-11
  • Pages : 122
  • ISBN : 1475714289
  • Language : En, Es, Fr & De
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1-systems are a mathematical formalism which was proposed by Aristid 1indenmayer in 1968 as a foundation for an axiomatic theory of develop ment. The notion promptly attracted the attention of computer scientists, who investigated 1-systems from the viewpoint of formal language theory. This theoretical line of research was pursued very actively in the seventies, resulting in over one thousand publications. A different research direction was taken in 1984 by Alvy Ray Smith, who proposed 1-systems as a tool for synthesizing realistic images of plants and pointed out the relationship between 1-systems and the concept of fractals introduced by Benoit Mandel brot. The work by Smith inspired our studies of the application of 1-systems to computer graphics. Originally, we were interested in two problems: • Can 1-systems be used as a realistic model of plant species found in nature? • Can 1-systems be applied to generate images of a wide class of fractals? It turned out that both questions had affirmative answers. Subsequently we found that 1-systems could be applied to other areas, such as the generation of tilings, reproduction of a geometric art form from East India, and synthesis of musical scores based on an interpretation of fractals. This book collects our results related to the graphical applications of- systems. It is a corrected version of the notes which we prepared for the ACM SIGGRAPH '88 course on fractals.

Application of Fractals in Earth Sciences

Application of Fractals in Earth Sciences
A Book

by V.P. Dimri

  • Publisher : CRC Press
  • Release : 2000-01-01
  • Pages : 248
  • ISBN : 9789054102847
  • Language : En, Es, Fr & De
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This text examines the emerging field of fractals and its applications in earth sciences. Topics covered include: concepts of fractal and multifractal chaos; the application of fractals in geophysics, geology, climate studies, and earthquake seismology.

Chaos and Fractals

Chaos and Fractals
New Frontiers of Science

by Heinz-Otto Peitgen,Hartmut Jürgens,Dietmar Saupe

  • Publisher : Springer Science & Business Media
  • Release : 2013-06-29
  • Pages : 999
  • ISBN : 1475747403
  • Language : En, Es, Fr & De
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For almost ten years chaos and fractals have been enveloping many areas of mathematics and the natural sciences in their power, creativity and expanse. Reaching far beyond the traditional bounds of mathematics and science to the realms of popular culture, they have captured the attention and enthusiasm of a worldwide audience. The fourteen chapters of the book cover the central ideas and concepts, as well as many related topics including, the Mandelbrot Set, Julia Sets, Cellular Automata, L-Systems, Percolation and Strange Attractors, and each closes with the computer code for a central experiment. In the two appendices, Yuval Fisher discusses the details and ideas of fractal image compression, while Carl J.G. Evertsz and Benoit Mandelbrot introduce the foundations and implications of multifractals.

Mathematics and Technology

Mathematics and Technology
A C.I.E.A.E.M. Sourcebook

by Gilles Aldon,Fernando Hitt,Luciana Bazzini,Uwe Gellert

  • Publisher : Springer
  • Release : 2017-04-05
  • Pages : 693
  • ISBN : 331951380X
  • Language : En, Es, Fr & De
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This volume collects most recent work on the role of technology in mathematics education. It offers fresh insight and understanding of the many ways in which technological resources can improve the teaching and learning of mathematics. The first section of the volume focuses on the question how a proposed mathematical task in a technological environment can influence the acquisition of knowledge and what elements are important to retain in the design of mathematical tasks in computing environments. The use of white smart boards, platforms as Moodle, tablets and smartphones have transformed the way we communicate both inside and outside the mathematics classroom. Therefore the second section discussed how to make efficient use of these resources in the classroom and beyond. The third section addresses how technology modifies the way information is transmitted and how mathematical education has to take into account the new ways of learning through connected networks as well as new ways of teaching. The last section is on the training of teachers in the digital era. The editors of this volume have selected papers from the proceedings of the 65th, 66th and 67th CIEAEM conference, and invited the correspondent authors to contribute to this volume by discussing one of the four important topics. The book continues a series of sourcebooks edited by CIEAEM, the Commission Internationale pour l’Étude et l’Amélioration de l’Enseignement des Mathématiques / International Commission for the Study and Improvement of Mathematics Education.

Chaos and Fractals

Chaos and Fractals
A Computer Graphical Journey

by C.A. Pickover

  • Publisher : Elsevier
  • Release : 1998-08-03
  • Pages : 452
  • ISBN : 9780080528861
  • Language : En, Es, Fr & De
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These days computer-generated fractal patterns are everywhere, from squiggly designs on computer art posters to illustrations in the most serious of physics journals. Interest continues to grow among scientists and, rather surprisingly, artists and designers. This book provides visual demonstrations of complicated and beautiful structures that can arise in systems, based on simple rules. It also presents papers on seemingly paradoxical combinations of randomness and structure in systems of mathematical, physical, biological, electrical, chemical, and artistic interest. Topics include: iteration, cellular automata, bifurcation maps, fractals, dynamical systems, patterns of nature created through simple rules, and aesthetic graphics drawn from the universe of mathematics and art. Chaos and Fractals is divided into six parts: Geometry and Nature; Attractors; Cellular Automata, Gaskets, and Koch Curves; Mandelbrot, Julia and Other Complex Maps; Iterated Function Systems; and Computer Art. Additionally, information on the latest practical applications of fractals and on the use of fractals in commercial products such as the antennas and reaction vessels is presented. In short, fractals are increasingly finding application in practical products where computer graphics and simulations are integral to the design process. Each of the six sections has an introduction by the editor including the latest research, references, and updates in the field. This book is enhanced with numerous color illustrations, a comprehensive index, and the many computer program examples encourage reader involvement.

Smart Graphics

Smart Graphics
6th International Symposium, SG 2006, Vancover, Canada, July 23-25, 2006, Proceedings

by Andreas Butz,Brian Fisher,Antonio Krüger,Patrick Olivier

  • Publisher : Springer Science & Business Media
  • Release : 2006-07-06
  • Pages : 262
  • ISBN : 3540362932
  • Language : En, Es, Fr & De
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This book constitutes the refereed proceedings of the 6th International Symposium on Smart Graphics, SG 2006, held in Vancouver, Canada, July 2006. The book presents 19 revised full papers and 8 revised short papers. The papers are organized in topical sections on intelligent text processing, perceptive systems, smart visualization, visual features, sketching and graphical abstraction, intelligent image and film composing, as well as smart interaction.

Space Structures 5

Space Structures 5
A Book

by G. A. R. Parke,P. Disney

  • Publisher : Thomas Telford
  • Release : 2002
  • Pages : 1613
  • ISBN : 9780727731739
  • Language : En, Es, Fr & De
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These Proceedings are based on the Fifth International Conference on Space Structures, organised by the University of Surrey. Produced as a 2-volume set, they contain original and innovative information on space structures from leading engineers and architects from around the world.

Fractal Geometry in Biological Systems

Fractal Geometry in Biological Systems
An Analytical Approach

by Philip M. Iannaccone,Mustafa Khokha

  • Publisher : CRC Press
  • Release : 1996-07-25
  • Pages : 384
  • ISBN : 9780849376368
  • Language : En, Es, Fr & De
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Fractal Geometry in Biological Systems was written by the leading experts in the field of mathematics and the biological sciences together. It is intended to inform researchers in the bringing about the fundamental nature of fractals and their widespread appearance in biological systems. The chapters explain how the presence of fractal geometry can be used in an analytical way to predict outcomes in systems, to generate hypotheses, and to help design experiments. The authors make the mathematics accessible to a wide audience and do not assume prior experience in this area.

The Computational Beauty of Nature

The Computational Beauty of Nature
Computer Explorations of Fractals, Chaos, Complex Systems, and Adaptation

by Gary William Flake

  • Publisher : MIT Press
  • Release : 2000-01-27
  • Pages : 520
  • ISBN : 9780262561273
  • Language : En, Es, Fr & De
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Gary William Flake develops in depth the simple idea that recurrent rules can produce rich and complicated behaviors. In this book Gary William Flake develops in depth the simple idea that recurrent rules can produce rich and complicated behaviors. Distinguishing "agents" (e.g., molecules, cells, animals, and species) from their interactions (e.g., chemical reactions, immune system responses, sexual reproduction, and evolution), Flake argues that it is the computational properties of interactions that account for much of what we think of as "beautiful" and "interesting." From this basic thesis, Flake explores what he considers to be today's four most interesting computational topics: fractals, chaos, complex systems, and adaptation. Each of the book's parts can be read independently, enabling even the casual reader to understand and work with the basic equations and programs. Yet the parts are bound together by the theme of the computer as a laboratory and a metaphor for understanding the universe. The inspired reader will experiment further with the ideas presented to create fractal landscapes, chaotic systems, artificial life forms, genetic algorithms, and artificial neural networks.

Fractal Surfaces

Fractal Surfaces
A Book

by John C. Russ

  • Publisher : Springer Science & Business Media
  • Release : 2013-11-11
  • Pages : 310
  • ISBN : 1489925783
  • Language : En, Es, Fr & De
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The author integrates discussions of fractal geometry, surface modeling techniques, and applications to real world problems to provide a comprehensive, accessible overview of the field. His work will equip researchers with the basic tools for measurement and interpretation of data, stimulating more work on these problems and, perhaps, leading to an understanding of the reasons that Nature has adopted this geometry to shape much of our world.

Fractals for the Classroom

Fractals for the Classroom
Part Two: Complex Systems and Mandelbrot Set

by Heinz-Otto Peitgen,Hartmut Jürgens,Dietmar Saupe

  • Publisher : Springer Science & Business Media
  • Release : 2012-12-06
  • Pages : 500
  • ISBN : 1461244064
  • Language : En, Es, Fr & De
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Fractals for the Classroom breaks new ground as it brings an exciting branch of mathematics into the classroom. The book is a collection of independent chapters on the major concepts related to the science and mathematics of fractals. Written at the mathematical level of an advanced secondary student, Fractals for the Classroom includes many fascinating insights for the classroom teacher and integrates illustrations from a wide variety of applications with an enjoyable text to help bring the concepts alive and make them understandable to the average reader. This book will have a tremendous impact upon teachers, students, and the mathematics education of the general public. With the forthcoming companion materials, including four books on strategic classroom activities and lessons with interactive computer software, this package will be unparalleled.

Systems Science

Systems Science
Methodological Approaches

by Yi Lin,Xiaojun Duan,Chengli Zhao,Li Da Xu

  • Publisher : CRC Press
  • Release : 2012-11-26
  • Pages : 399
  • ISBN : 143989552X
  • Language : En, Es, Fr & De
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By making use of the principles of systems science, the scientific community can explain many complicated matters of the world and shed new light on unsettled problems. Each real science has its own particular methodology for not only qualitative but also quantitative analyses, so it is important to understand the organic whole of systems research

Oxygen Transport in Biological Systems

Oxygen Transport in Biological Systems
Modelling of Pathways from Environment to Cell

by S. Egginton,H. F. Ross

  • Publisher : Cambridge University Press
  • Release : 1992-11-12
  • Pages : 298
  • ISBN : 9780521414883
  • Language : En, Es, Fr & De
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This book offers a range of perspectives on the modelling of oxygen transport, covering the broadest possible spectrum of disciplines within the field and emphasising the different methodological approaches used.

Computer Science Handbook

Computer Science Handbook
A Book

by Allen B. Tucker

  • Publisher : CRC Press
  • Release : 2004-06-28
  • Pages : 2752
  • ISBN : 0203494458
  • Language : En, Es, Fr & De
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When you think about how far and fast computer science has progressed in recent years, it's not hard to conclude that a seven-year old handbook may fall a little short of the kind of reference today's computer scientists, software engineers, and IT professionals need. With a broadened scope, more emphasis on applied computing, and more than 70 chap

Illustrating Evolutionary Computation with Mathematica

Illustrating Evolutionary Computation with Mathematica
A Book

by Christian Jacob

  • Publisher : Morgan Kaufmann
  • Release : 2001
  • Pages : 578
  • ISBN : 1558606378
  • Language : En, Es, Fr & De
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An essential capacity of intelligence is the ability to learn. An artificially intelligent system that could learn would not have to be programmed for every eventuality; it could adapt to its changing environment and conditions just as biological systems do. Illustrating Evolutionary Computation with Mathematica introduces evolutionary computation to the technically savvy reader who wishes to explore this fascinating and increasingly important field. Unique among books on evolutionary computation, the book also explores the application of evolution to developmental processes in nature, such as the growth processes in cells and plants. If you are a newcomer to the evolutionary computation field, an engineer, a programmer, or even a biologist wanting to learn how to model the evolution and coevolution of plants, this book will provide you with a visually rich and engaging account of this complex subject. * Introduces the major mechanisms of biological evolution. * Demonstrates many fascinating aspects of evolution in nature with simple, yet illustrative examples. * Explains each of the major branches of evolutionary computation: genetic algorithms, genetic programming, evolutionary programming, and evolution strategies. * Demonstrates the programming of computers by evolutionary principles using Evolvica, a genetic programming system designed by the author. * Shows in detail how to evolve developmental programs modeled by cellular automata and Lindenmayer systems. * Provides Mathematica notebooks on the Web that include all the programs in the book and supporting animations, movies, and graphics.

Mathematical Tools in Computer Graphics with C# Implementations

Mathematical Tools in Computer Graphics with C# Implementations
A Book

by Alexandre Hardy,Willi-Hans Steeb

  • Publisher : World Scientific
  • Release : 2008
  • Pages : 475
  • ISBN : 9812791027
  • Language : En, Es, Fr & De
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Presents introductory and advanced topics in the field of computer graphics with mathematical descriptions and derivations. This book offers a balance of theory, applications, and code, and derives the underlying numerical methods and algorithms. It contains the classes in C# necessary for computer graphics, and offers an explanation of the code.

Wireless Mesh Networks

Wireless Mesh Networks
Security, Architectures and Protocols

by Mutamed Khatib,Samer Alsadi

  • Publisher : Unknown Publisher
  • Release : 2020-05-13
  • Pages : 180
  • ISBN : 178985203X
  • Language : En, Es, Fr & De
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Design by Evolution

Design by Evolution
Advances in Evolutionary Design

by Philip F. Hingston,Luigi C. Barone,Zbigniew Michalewicz

  • Publisher : Springer Science & Business Media
  • Release : 2008-09-30
  • Pages : 352
  • ISBN : 3540741119
  • Language : En, Es, Fr & De
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Evolution is Nature’s design process. The natural world is full of wonderful examples of its successes, from engineering design feats such as powered flight, to the design of complex optical systems such as the mammalian eye, to the merely stunningly beautiful designs of orchids or birds of paradise. With increasing computational power, we are now able to simulate this process with greater fidelity, combining complex simulations with high-performance evolutionary algorithms to tackle problems that used to be impractical. This book showcases the state of the art in evolutionary algorithms for design. The chapters are organized by experts in the following fields: evolutionary design and "intelligent design" in biology, art, computational embryogeny, and engineering. The book will be of interest to researchers, practitioners and graduate students in natural computing, engineering design, biology and the creative arts.

Fractals and Dynamic Systems in Geoscience

Fractals and Dynamic Systems in Geoscience
A Book

by Jörn H. Kruhl

  • Publisher : Springer Science & Business Media
  • Release : 2013-06-29
  • Pages : 421
  • ISBN : 3662073048
  • Language : En, Es, Fr & De
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Fractal geometry allows the description of natural patterns and the establishment and testing of models of pattern formation. In particular, it is a tool for geoscientists. The aim of this volume is to give an overview of the applications of fractal geometry and the theory of dynamic systems in the geosciences. The state of the art is presented and the reader obtains an impression of the variety of fields for which fractal geometry is a useful tool and of the different methods of fractal geometry which can be applied. In addition to specific information about new applications of fractal geometry in structural geology, physics of the solid earth, and mineralogy, proposals and ideas about how fractal geometry can be applied in the reader's field of studies will be put forward.