Fractalize That A Visual Essay On Statistical Geometry
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Fractalize That A Visual Essay On Statistical Geometry
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Author : John Shier
language : en
Publisher: World Scientific Publishing
Release Date : 2018-11-22
Fractalize That A Visual Essay On Statistical Geometry written by John Shier and has been published by World Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-22 with Mathematics categories.
Fractalize That! A Visual Essay on Statistical Geometry brings a new class of geometric fractals to a wider audience of mathematicians and scientists. It describes a recently discovered random fractal space-filling algorithm. Connections with tessellations and known fractals such as Sierpinski are developed. And, the mathematical development is illustrated by a large number of colorful images that will charm the readers.The algorithm claims to be universal in scope, in that it can fill any spatial region with smaller and smaller fill regions of any shape. The filling is complete in the limit of an infinite number of fill regions. This book presents a descriptive development of the subject using the traditional shapes of geometry such as discs, squares, and triangles. It contains a detailed mathematical treatment of all that is currently known about the algorithm, as well as a chapter on software implementation of the algorithm.The mathematician will find a wealth of interesting conjectures supported by numerical computation. Physicists are offered a model looking for an application. The patterns generated are often quite interesting as abstract art. Readers can also create these computer-generated art with the advice and examples provided.
Fractalize That
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Author : John Shier (Writer on geometry)
language : en
Publisher:
Release Date : 2019
Fractalize That written by John Shier (Writer on geometry) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with MATHEMATICS categories.
Analysis Probability And Mathematical Physics On Fractals
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Author : Patricia Alonso Ruiz
language : en
Publisher: World Scientific
Release Date : 2020-02-26
Analysis Probability And Mathematical Physics On Fractals written by Patricia Alonso Ruiz and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-26 with Mathematics categories.
In the 50 years since Mandelbrot identified the fractality of coastlines, mathematicians and physicists have developed a rich and beautiful theory describing the interplay between analytic, geometric and probabilistic aspects of the mathematics of fractals. Using classical and abstract analytic tools developed by Cantor, Hausdorff, and Sierpinski, they have sought to address fundamental questions: How can we measure the size of a fractal set? How do waves and heat travel on irregular structures? How are analysis, geometry and stochastic processes related in the absence of Euclidean smooth structure? What new physical phenomena arise in the fractal-like settings that are ubiquitous in nature?This book introduces background and recent progress on these problems, from both established leaders in the field and early career researchers. The book gives a broad introduction to several foundational techniques in fractal mathematics, while also introducing some specific new and significant results of interest to experts, such as that waves have infinite propagation speed on fractals. It contains sufficient introductory material that it can be read by new researchers or researchers from other areas who want to learn about fractal methods and results.
Elegant Fractals Automated Generation Of Computer Art
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Author : Julien Clinton Sprott
language : en
Publisher: World Scientific Publishing
Release Date : 2018-10-04
Elegant Fractals Automated Generation Of Computer Art written by Julien Clinton Sprott and has been published by World Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-04 with Computers categories.
Fractals are intricate geometrical forms that contain miniature copies of themselves on ever smaller scales. This colorful book describes methods for producing an endless variety of fractal art using a computer program that searches through millions of equations looking for those few that can produce images having aesthetic appeal. Over a hundred examples of such images are included with a link to the software that produced these images, and can also produce many more similar fractals. The underlying mathematics of the process is also explained in detail.Other books by the author that could be of interest to the reader are Elegant Chaos: Algebraically Simple Chaotic Flows (J C Sprott, 2010) and Elegant Circuits: Simple Chaotic Oscillators (J C Sprott and W J Thio, 2020).
Archipelagic American Studies
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Author : Brian Russell Roberts
language : en
Publisher: Duke University Press
Release Date : 2017-05-18
Archipelagic American Studies written by Brian Russell Roberts and has been published by Duke University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-18 with Literary Criticism categories.
Departing from conventional narratives of the United States and the Americas as fundamentally continental spaces, the contributors to Archipelagic American Studies theorize America as constituted by and accountable to an assemblage of interconnected islands, archipelagoes, shorelines, continents, seas, and oceans. They trace these planet-spanning archipelagic connections in essays on topics ranging from Indigenous sovereignty to the work of Édouard Glissant, from Philippine call centers to US militarization in the Caribbean, and from the great Pacific garbage patch to enduring overlaps between US imperialism and a colonial Mexican archipelago. Shaking loose the straitjacket of continental exceptionalism that hinders and permeates Americanist scholarship, Archipelagic American Studies asserts a more relevant and dynamic approach for thinking about the geographic, cultural, and political claims of the United States within broader notions of America. Contributors Birte Blascheck, J. Michael Dash, Paul Giles, Susan Gillman, Matthew Pratt Guterl, Hsinya Huang, Allan Punzalan Isaac, Joseph Keith, Yolanda Martínez-San Miguel, Brandy Nālani McDougall, Ifeoma Kiddoe Nwankwo, Craig Santos Perez, Brian Russell Roberts, John Carlos Rowe, Cherene Sherrard-Johnson, Ramón E. Soto-Crespo, Michelle Ann Stephens, Elaine Stratford, Etsuko Taketani, Alice Te Punga Somerville, Teresia Teaiwa, Lanny Thompson, Nicole A. Waligora-Davis
Magill S Survey Of Science Fir Lan
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Author : Frank Northen Magill
language : en
Publisher:
Release Date : 1993
Magill S Survey Of Science Fir Lan written by Frank Northen Magill and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Engineering categories.
Magill S Survey Of Science
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Author : Frank Northen Magill
language : en
Publisher:
Release Date : 1993
Magill S Survey Of Science written by Frank Northen Magill and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Engineering categories.
Statistical Methods In Control Signal Processing
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Author : Tohru Katayama
language : en
Publisher: CRC Press
Release Date : 2018-10-08
Statistical Methods In Control Signal Processing written by Tohru Katayama and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-08 with Mathematics categories.
Presenting statistical and stochastic methods for the analysis and design of technological systems in engineering and applied areas, this work documents developments in statistical modelling, identification, estimation and signal processing. The book covers such topics as subspace methods, stochastic realization, state space modelling, and identification and parameter estimation.
Mathematics Teacher Resource Handbook
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Author :
language : en
Publisher: Krause Publications
Release Date : 1993
Mathematics Teacher Resource Handbook written by and has been published by Krause Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
An Eye For Fractals
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Author : Michael Mcguire
language : en
Publisher: Addison-Wesley Longman
Release Date : 1991-07-21
An Eye For Fractals written by Michael Mcguire and has been published by Addison-Wesley Longman this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-07-21 with Computers categories.
Fractional geometry posits that a natural visual complexity can arise from iteration of simple rules and simple shapes. An Eye for Fractals is a fascinating study of the converse premise: that nature's complexity implies an underlying simplicity that can be traced back to fractal geometry.The book effectively integrates art with science, illustrating the natural occurrence of mathematics and geometry in lava flows, kelp beds, cloud formations and aspen groves. The book is enhanced with more than 150 photographs and drawings, including some color illustrations. An Eye for Fractals is a beautiful introduction to fractal geometry, a graphic, visual approach that should appeal to all who feel the fascination of this artful mathematics.