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John Hamal Hubbard (born October 6 or 7, 1945) is an American mathematician and professor at Cornell University and the Université de Provence.He is known for the mathematical contributions he made with Adrien Douady in the field of complex dynamics, including a study of the Mandelbrot set.
A mosaic made by matching Julia sets to their values of c on the complex plane. The Mandelbrot set is a map of connected Julia sets. As a consequence of the definition of the Mandelbrot set, there is a close correspondence between the geometry of the Mandelbrot set at a given point and the structure of the corresponding Julia set. For instance ...
Udo of Aachen (c.1200–1270) is a fictional monk, a creation of British technical writer Ray Girvan, who introduced him in an April Fool's hoax article in 1999. According to the article, Udo was an illustrator and theologian who discovered the Mandelbrot set some 700 years before Benoit Mandelbrot.
Benoit B. Mandelbrot [a] [b] (20 November 1924 – 14 October 2010) was a Polish-born French-American mathematician and polymath with broad interests in the practical sciences, especially regarding what he labeled as "the art of roughness" of physical phenomena and "the uncontrolled element in life".
Without doubt, the most famous connectedness locus is the Mandelbrot set, which arises from the family of complex quadratic polynomials : = +The connectedness loci of the higher-degree unicritical families,
Zooming into the boundary of the Mandelbrot set. In mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension. Many fractals appear similar at various scales, as illustrated in successive magnifications of the Mandelbrot set.
Example of Pickover stalks in a detail of the Mandelbrot set Pickover stalks are certain kinds of details to be found empirically in the Mandelbrot set , in the study of fractal geometry . [ 1 ] They are so named after the researcher Clifford Pickover , whose "epsilon cross" method was instrumental in their discovery.
Gregor Johann Mendel OSA (/ ˈ m ɛ n d əl /; Czech: Řehoř Jan Mendel; [2] 20 July 1822 [3] – 6 January 1884) was an Austrian [4] [5] biologist, meteorologist, [6] mathematician, Augustinian friar and abbot of St. Thomas' Abbey in Brno (Brünn), Margraviate of Moravia.