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Topics related to "The geometry of Mandelbrot The founding father of fractal theory warns that"

fractal geometry fractal geometry
fractal geometry branch of mathematics concerned with irregular patterns made of parts that are in some way similar to the whole, e.g., twigs and tree branches, a property called self-similarity or self-symmetry. Unlike conventional geometry , which is concerned with regular shapes and... Read more
Benoit B Mandelbrot Benoit B Mandelbrot
Benoit B. Mandelbrot , 1924-, French mathematician, b. Warsaw, Poland. Largely self-taught and considered a maverick in the field of mathematics, he is uncomfortable with the rigorously pure logical analysis prescribed by Nicolas Bourbaki and relies instead on his talent for visualizing natural... Read more
chaos theory chaos theory
chaos theory in mathematics, physics, and other fields, a set of ideas that attempts to reveal structure in aperiodic, unpredictable dynamic systems such as cloud formation or the fluctuation of biological populations. Although chaotic systems obey certain rules that can be described by... Read more
hydraulic geometry hydraulic geometry
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Perimeter (Geometry) Perimeter (Geometry)
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Harish-Chandra Harish-Chandra
HARISH-CHANDRA(b. Kanpur, Uttar Pradesh, India, 11 October 1923; d. Princeton, New Jersey, 16 October 1983),mathematics, Lie groups.Harish-Chandra was a major figure in the mathematics of the twentieth century. His work linked algebra, analysis, geometry, and group theory in a fundamental and... Read more
Attractor Attractor
Attractor Attractor is a technical term in the theory of dynamic systems. An attractor can be defined as a part of the phase space of a dynamic system to which the system confines itself in the course of time, until it is trapped in it. The simplest example of an attractor is the point of rest... Read more
Henry John Stephen Smith Henry John Stephen Smith
SMITH, HENRY JOHN STEPHEN(b. Dublin, Ireland, 2 November 1826; d. Oxford, England, 9 February 1883)mathematics.Smith’s contributions to mathematics, although relatively few, were not slight in importance. His best work was done in number theory, but he also wrote on elliptic functions and... Read more
geometry geometry
geometry [Gr.,=earth measuring], branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures and with generalizations of these concepts. Types of Geometry Euclidean geometry, elementary geometry of two and three dimensions (plane and solid... Read more
Nikolai Ivanovich Lobachevsky Nikolai Ivanovich Lobachevsky
Nikolai Ivanovich Lobachevskii The Russian mathematician Nikolai Ivanovich Lobachevskii (1792-1856) was one of the first to found an internally consistent system of non-Euclidean geometry. His revolutionary ideas had profound implications for theoretical physics, especially the theory of... Read more

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