Proceedings of Symposia in PURE MATHEMATICS
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Fractal 3D Magic Free
FREE FRACTAL 3D MAGIC PDF Clifford A. Pickover | 160 pages | 07 Sep 2014 | Sterling Publishing Co Inc | 9781454912637 | English | New York, United States Fractal 3D Magic | Banyen Books & Sound Option 1 Usually ships in business days. Option 2 - Most Popular! This groundbreaking 3D showcase offers a rare glimpse into the dazzling world of computer-generated fractal art. Prolific polymath Clifford Pickover introduces the collection, which provides background on everything from Fractal 3D Magic classic Mandelbrot set, to the infinitely porous Menger Sponge, to ethereal fractal flames. The following eye-popping gallery displays mathematical formulas transformed into stunning computer-generated 3D anaglyphs. More than intricate designs, visible in three dimensions thanks to Fractal 3D Magic enclosed 3D glasses, will engross math and optical illusions enthusiasts alike. If an item you have purchased from us is not working as expected, please visit one of our in-store Knowledge Experts for free help, where they can solve your problem or even exchange the item for a product that better suits your needs. If you need to return an item, simply bring it back to any Micro Center store for Fractal 3D Magic full refund or exchange. All other products may be returned within 30 days of purchase. Using the software may require the use of a computer or other device that must meet minimum system requirements. It is recommended that you familiarize Fractal 3D Magic with the system requirements before making your purchase. Software system requirements are typically found on the Product information specification page. Aerial Drones Micro Center is happy to honor its customary day return policy for Aerial Drone returns due to product defect or customer dissatisfaction. -
Copyright by Timothy Alexander Cousins 2016
Copyright by Timothy Alexander Cousins 2016 The Thesis Committee for Timothy Alexander Cousins Certifies that this is the approved version of the following thesis: Effect of Rough Fractal Pore-Solid Interface on Single-Phase Permeability in Random Fractal Porous Media APPROVED BY SUPERVISING COMMITTEE: Supervisor: Hugh Daigle Maša Prodanović Effect of Rough Fractal Pore-Solid Interface on Single-Phase Permeability in Random Fractal Porous Media by Timothy Alexander Cousins, B. S. Thesis Presented to the Faculty of the Graduate School of The University of Texas at Austin in Partial Fulfillment of the Requirements for the Degree of Master of Science in Engineering The University of Texas at Austin August 2016 Dedication I would like to dedicate this to my parents, Michael and Joanne Cousins. Acknowledgements I would like to thank the continuous support of Professor Hugh Daigle over these last two years in guiding throughout my degree and research. I would also like to thank Behzad Ghanbarian for being a great mentor and guide throughout the entire research process, and for constantly giving me invaluable insight and advice, both for the research and for life in general. I would also like to thank my parents for the consistent support throughout my entire life. I would also like to acknowledge Edmund Perfect (Department of Earth and Planetary, University of Tennessee) and Jung-Woo Kim (Radioactive Waste Disposal Research Division, Korea Atomic Energy Research Institute) for providing Lacunarity MATLAB code used in this study. v Abstract Effect of Rough Fractal Pore-Solid Interface on Single-Phase Permeability in Random Fractal Porous Media Timothy Alexander Cousins, M.S.E. -
Secretaria De Estado Da Educação Do Paraná Programa De Desenvolvimento Educacional - Pde
SECRETARIA DE ESTADO DA EDUCAÇÃO DO PARANÁ PROGRAMA DE DESENVOLVIMENTO EDUCACIONAL - PDE JOÃO VIEIRA BERTI A GEOMETRIA DOS FRACTAIS PARA O ENSINO FUNDAMENTAL CASCAVEL – PR 2008 JOÃO VIEIRA BERTI A GEOMETRIA DOS FRACTAIS PARA O ENSINO FUNDAMENTAL Artigo apresentado ao Programa de Desenvolvimento Educacional do Paraná – PDE, como requisito para conclusão do programa. Orientadora: Dra. Patrícia Sândalo Pereira CASCAVEL – PR 2008 A GEOMETRIA DOS FRACTAIS PARA O ENSINO FUNDAMENTAL João Vieira Berti1 Patrícia Sândalo Pereira2 Resumo O seguinte trabalho tem a finalidade de apresentar a Geometria Fractal segundo a visão de Benoit Mandelbrot, considerado o pai da Geometria Fractal, bem como a sua relação como a Teoria do Caos. Serão também apresentadas algumas das mais notáveis figuras fractais, tais como: Conjunto ou Poeira de Cantor, Curva e Floco de Neve de Koch, Triângulo de Sierpinski, Conjunto de Mandelbrot e Julia, entre outros, bem como suas propriedades e possíveis aplicações em sala de aula. Este trabalho de pesquisa foi desenvolvido com professores de matemática da rede estadual de Foz do Iguaçu e Região e também com professores de matemática participantes do Programa de Desenvolvimento Educacional do Paraná – PDE da Região Oeste e Sudoeste do Paraná a fim de lhes apresentar uma nova forma de trabalhar a geometria fractal com a utilização de softwares educacionais dinâmicos. Palavras-chave: Geometria, Fractais, Softwares Educacionais. Abstract The pourpose of this paper is to present Fractal Geometry according the vision of Benoit Mandelbrot´s, the father of Fractal Geometry, and it´s relationship with the Theory of Chaos as well. Also some of the most notable fractals figures, such as: Cantor Dust, Koch´s snowflake, the Sierpinski Triangle, Mandelbrot Set and Julia, among others, are going to be will be presented as well as their properties and potential classroom applications. -
Registration Form for Polish Scientific Institution 1. Research Institution Data (Name and Address): Faculty of Mathematics
Registration form for Polish scientific institution 1. Research institution data (name and address): Faculty of Mathematics, Informatics and Mechanics University of Warsaw Krakowskie Przedmiescie 26/28 00-927 Warszawa. 2. Type of research institution: 1. Basic organisational unit of higher education institution 3. Head of the institution: dr hab. Maciej Duszczyk - Vice-Rector for Research and International Relations 4. Contact information of designated person(s) for applicants and NCN (first and last name, position, e-mail address, phone number, correspondence address): Prof. dr hab. Anna Gambin, Deputy dean of research and international cooperation, Faculty of Mathematics, Informatics and Mechanics, Banacha 2 02-097 Warsaw, +48 22 55 44 212, [email protected] 5. Science discipline in which strong international position of the institution ensures establishing a Dioscuri Centre (select one out of 25 listed disciplines): Natural Sciences and Technology disciplines: 1) Mathematics 6. Description of important research achievements from the selected discipline from the last 5 years including list of the most important publications, patents, other (up to one page in A4 format): The institution and its faculty. UW is the leading Polish department of mathematics and one of the islands of excellence on the map of Polish science. Our strength arises not only from past achievements, but also from on-going scientific activities that attract new generations of young mathematicians from the whole of Poland. The following is a non-exhaustive list of important results published no earlier than 2016 obtained by mathematicians from MIM UW. Research articles based on these results have appeared or will appear in, among other venues, Ann. -
Pure Mathematics Professors Teaching and Leading Research CO-OP OR REGULAR 28
PURE MATHEMATICS Pure Mathematics professors teaching and leading research CO-OP OR REGULAR 28 Mathematician ranked among top 10 TOP 10 jobs from 2011-2017 – Comcast.com of grads are employed Search for a deeper 96.6% within 2 years understanding of mathematics Pure mathematics is at the foundation of all mathematical reasoning. If first-year calculus ALEX teaches you how to drive the car, Pure Mathematics teaches you how to build one. 3B, PURE MATHEMATICS AND Mathematicians know that there could be no general relativity without differential COMBINATORICS AND geometry, and no computer security without advanced number theory. OPTIMIZATION Pure Mathematics at Waterloo is a small, cohesive, and challenging program that will open countless doors for you. Our graduates have used the program as a springboard into careers WHAT DO YOU LOVE ABOUT in information technology, finance, business, science, education, and insurance, often by way PURE MATHEMATICS? The satisfaction from understanding of some of the most prestigious graduate programs in the world. an idea at a deeper level and tying together unrelated branches of ALEX’S FAVOURITE COURSES mathematics or physics for the › PMATH 320 Euclidean Geometry: This course is everything you love about Geometry: first time is the most rewarding Euclid’s axioms, isometries of the Euclidean plane and of Euclidean space, polygons, part of learning and understanding polyhedral, polytopes, and the kissing problem. mathematics. What I really enjoy is › PMATH 351 Real Analysis: It’s a very intuitive and natural approach to real analysis, and the developing a deep understanding of complexity of the course builds very naturally to the end of the semester. -
Connectivity Calculus of Fractal Polyhedrons
Pattern Recognition 48 (2015) 1150–1160 Contents lists available at ScienceDirect Pattern Recognition journal homepage: www.elsevier.com/locate/pr Connectivity calculus of fractal polyhedrons Helena Molina-Abril a,n, Pedro Real a, Akira Nakamura b, Reinhard Klette c a Universidad de Sevilla, Spain b Hiroshima University, Japan c The University of Auckland, New Zealand article info abstract Article history: The paper analyzes the connectivity information (more precisely, numbers of tunnels and their Received 27 December 2013 homological (co)cycle classification) of fractal polyhedra. Homology chain contractions and its combi- Received in revised form natorial counterparts, called homological spanning forest (HSF), are presented here as an useful 6 April 2014 topological tool, which codifies such information and provides an hierarchical directed graph-based Accepted 27 May 2014 representation of the initial polyhedra. The Menger sponge and the Sierpiński pyramid are presented as Available online 6 June 2014 examples of these computational algebraic topological techniques and results focussing on the number Keywords: of tunnels for any level of recursion are given. Experiments, performed on synthetic and real image data, Connectivity demonstrate the applicability of the obtained results. The techniques introduced here are tailored to self- Cycles similar discrete sets and exploit homology notions from a representational point of view. Nevertheless, Topological analysis the underlying concepts apply to general cell complexes and digital images and are suitable for Tunnels Directed graphs progressing in the computation of advanced algebraic topological information of 3-dimensional objects. Betti number & 2014 Elsevier Ltd. All rights reserved. Fractal set Menger sponge Sierpiński pyramid 1. Introduction simply-connected sets and those with holes (i.e. -
Pure Mathematics
Why Study Mathematics? Mathematics reveals hidden patterns that help us understand the world around us. Now much more than arithmetic and geometry, mathematics today is a diverse discipline that deals with data, measurements, and observations from science; with inference, deduction, and proof; and with mathematical models of natural phenomena, of human behavior, and social systems. The process of "doing" mathematics is far more than just calculation or deduction; it involves observation of patterns, testing of conjectures, and estimation of results. As a practical matter, mathematics is a science of pattern and order. Its domain is not molecules or cells, but numbers, chance, form, algorithms, and change. As a science of abstract objects, mathematics relies on logic rather than on observation as its standard of truth, yet employs observation, simulation, and even experimentation as means of discovering truth. The special role of mathematics in education is a consequence of its universal applicability. The results of mathematics--theorems and theories--are both significant and useful; the best results are also elegant and deep. Through its theorems, mathematics offers science both a foundation of truth and a standard of certainty. In addition to theorems and theories, mathematics offers distinctive modes of thought which are both versatile and powerful, including modeling, abstraction, optimization, logical analysis, inference from data, and use of symbols. Mathematics, as a major intellectual tradition, is a subject appreciated as much for its beauty as for its power. The enduring qualities of such abstract concepts as symmetry, proof, and change have been developed through 3,000 years of intellectual effort. Like language, religion, and music, mathematics is a universal part of human culture. -
On the Origin and Early History of Functional Analysis
U.U.D.M. Project Report 2008:1 On the origin and early history of functional analysis Jens Lindström Examensarbete i matematik, 30 hp Handledare och examinator: Sten Kaijser Januari 2008 Department of Mathematics Uppsala University Abstract In this report we will study the origins and history of functional analysis up until 1918. We begin by studying ordinary and partial differential equations in the 18th and 19th century to see why there was a need to develop the concepts of functions and limits. We will see how a general theory of infinite systems of equations and determinants by Helge von Koch were used in Ivar Fredholm’s 1900 paper on the integral equation b Z ϕ(s) = f(s) + λ K(s, t)f(t)dt (1) a which resulted in a vast study of integral equations. One of the most enthusiastic followers of Fredholm and integral equation theory was David Hilbert, and we will see how he further developed the theory of integral equations and spectral theory. The concept introduced by Fredholm to study sets of transformations, or operators, made Maurice Fr´echet realize that the focus should be shifted from particular objects to sets of objects and the algebraic properties of these sets. This led him to introduce abstract spaces and we will see how he introduced the axioms that defines them. Finally, we will investigate how the Lebesgue theory of integration were used by Frigyes Riesz who was able to connect all theory of Fredholm, Fr´echet and Lebesgue to form a general theory, and a new discipline of mathematics, now known as functional analysis. -
Alwyn C. Scott
the frontiers collection the frontiers collection Series Editors: A.C. Elitzur M.P. Silverman J. Tuszynski R. Vaas H.D. Zeh The books in this collection are devoted to challenging and open problems at the forefront of modern science, including related philosophical debates. In contrast to typical research monographs, however, they strive to present their topics in a manner accessible also to scientifically literate non-specialists wishing to gain insight into the deeper implications and fascinating questions involved. Taken as a whole, the series reflects the need for a fundamental and interdisciplinary approach to modern science. Furthermore, it is intended to encourage active scientists in all areas to ponder over important and perhaps controversial issues beyond their own speciality. Extending from quantum physics and relativity to entropy, consciousness and complex systems – the Frontiers Collection will inspire readers to push back the frontiers of their own knowledge. Other Recent Titles The Thermodynamic Machinery of Life By M. Kurzynski The Emerging Physics of Consciousness Edited by J. A. Tuszynski Weak Links Stabilizers of Complex Systems from Proteins to Social Networks By P. Csermely Quantum Mechanics at the Crossroads New Perspectives from History, Philosophy and Physics Edited by J. Evans, A.S. Thorndike Particle Metaphysics A Critical Account of Subatomic Reality By B. Falkenburg The Physical Basis of the Direction of Time By H.D. Zeh Asymmetry: The Foundation of Information By S.J. Muller Mindful Universe Quantum Mechanics and the Participating Observer By H. Stapp Decoherence and the Quantum-to-Classical Transition By M. Schlosshauer For a complete list of titles in The Frontiers Collection, see back of book Alwyn C. -
Academic Genealogy of the Oakland University Department Of
Basilios Bessarion Mystras 1436 Guarino da Verona Johannes Argyropoulos 1408 Università di Padova 1444 Academic Genealogy of the Oakland University Vittorino da Feltre Marsilio Ficino Cristoforo Landino Università di Padova 1416 Università di Firenze 1462 Theodoros Gazes Ognibene (Omnibonus Leonicenus) Bonisoli da Lonigo Angelo Poliziano Florens Florentius Radwyn Radewyns Geert Gerardus Magnus Groote Università di Mantova 1433 Università di Mantova Università di Firenze 1477 Constantinople 1433 DepartmentThe Mathematics Genealogy Project of is a serviceMathematics of North Dakota State University and and the American Statistics Mathematical Society. Demetrios Chalcocondyles http://www.mathgenealogy.org/ Heinrich von Langenstein Gaetano da Thiene Sigismondo Polcastro Leo Outers Moses Perez Scipione Fortiguerra Rudolf Agricola Thomas von Kempen à Kempis Jacob ben Jehiel Loans Accademia Romana 1452 Université de Paris 1363, 1375 Université Catholique de Louvain 1485 Università di Firenze 1493 Università degli Studi di Ferrara 1478 Mystras 1452 Jan Standonck Johann (Johannes Kapnion) Reuchlin Johannes von Gmunden Nicoletto Vernia Pietro Roccabonella Pelope Maarten (Martinus Dorpius) van Dorp Jean Tagault François Dubois Janus Lascaris Girolamo (Hieronymus Aleander) Aleandro Matthaeus Adrianus Alexander Hegius Johannes Stöffler Collège Sainte-Barbe 1474 Universität Basel 1477 Universität Wien 1406 Università di Padova Università di Padova Université Catholique de Louvain 1504, 1515 Université de Paris 1516 Università di Padova 1472 Università -
B.S. in Mathematics - Pure Math Emphasis, 2020-2021
B.S. in Mathematics - Pure Math Emphasis, 2020-2021 Course Title Cr. Sched. Prerequisites Required Quantitative Lit. MATH 1210 - Calculus I 4 F/S/Su MATH 1050 & 1060 or ACT 26+ GE Course Other GE Courses are required to graduate with a Bachelor’s Degree from SUU.* MATH 1220 Calculus II 4 F/S/Su MATH 1210 MATH 2210 Calculus III 4 F/S/Su MATH 1220 MATH 2270 Linear Algebra 3 F/S/Su MATH 1220 MATH 2280 Differential Equations 3 S MATH 1220 & 2270** Math Core MATH 3120 Transition to Advanced Math 3 F/S MATH 1220 & MATH 2270 Courses MATH 3250 Complex Variables 3 S-Odd MATH 2210 MATH 3700 Probability and Statistics 4 F/S/Su MATH 1220 MATH 4220 Abstract Algebra I 3 F MATH 3120 MATH 4400 Advanced Calculus I 3 F MATH 2210 & 3120 Choose 1 MATH 4230 Abstract Algebra II 3 S-Even MATH 4220 Advanced Class MATH 4410 Advanced Calculus II 3 S-Odd MATH 4400 Choose 1 CS 1400 Fundamentals of Programming 3 F/S CSIS 1030 or MATH 1050 or Permission Program- ming Class CS 1410 Object Oriented Programming 3 F/S/Su CS 1400 MATH 3130 Modern Geometries 3 S MATH 3120 MATH 3160 Number Theory 3 F-Odd MATH 3120 MATH 3500 Actuarial Mathematics 3 S-Even MATH 1100 or MATH 1210 MATH 3600 Numerical Analysis 3 S-Even MATH 2250 or 2280 & comp. knowledge Math MATH 3770 Mathematical Modeling 3 S-Odd MATH 3700 Elective MATH 3800 Partial Differential Equations 3 F-Odd MATH 2210 and 2250 or 2280 Credits (15 total Instructor Permissission; may repeat up MATH 3990 Undergraduate Research 1-3 *** credits to 5 cr. -
Riemann-Liouville Fractional Calculus of Blancmange Curve and Cantor Functions
Journal of Applied Mathematics and Computation, 2020, 4(4), 123-129 https://www.hillpublisher.com/journals/JAMC/ ISSN Online: 2576-0653 ISSN Print: 2576-0645 Riemann-Liouville Fractional Calculus of Blancmange Curve and Cantor Functions Srijanani Anurag Prasad Department of Mathematics and Statistics, Indian Institute of Technology Tirupati, India. How to cite this paper: Srijanani Anurag Prasad. (2020) Riemann-Liouville Frac- Abstract tional Calculus of Blancmange Curve and Riemann-Liouville fractional calculus of Blancmange Curve and Cantor Func- Cantor Functions. Journal of Applied Ma- thematics and Computation, 4(4), 123-129. tions are studied in this paper. In this paper, Blancmange Curve and Cantor func- DOI: 10.26855/jamc.2020.12.003 tion defined on the interval is shown to be Fractal Interpolation Functions with appropriate interpolation points and parameters. Then, using the properties of Received: September 15, 2020 Fractal Interpolation Function, the Riemann-Liouville fractional integral of Accepted: October 10, 2020 Published: October 22, 2020 Blancmange Curve and Cantor function are described to be Fractal Interpolation Function passing through a different set of points. Finally, using the conditions for *Corresponding author: Srijanani the fractional derivative of order ν of a FIF, it is shown that the fractional deriva- Anurag Prasad, Department of Mathe- tive of Blancmange Curve and Cantor function is not a FIF for any value of ν. matics, Indian Institute of Technology Tirupati, India. Email: [email protected] Keywords Fractal, Interpolation, Iterated Function System, fractional integral, fractional de- rivative, Blancmange Curve, Cantor function 1. Introduction Fractal geometry is a subject in which irregular and complex functions and structures are researched.