Benoit Mandelbrot - определение. Что такое Benoit Mandelbrot
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Что (кто) такое Benoit Mandelbrot - определение

POLISH-BORN, FRENCH AND AMERICAN MATHEMATICIAN (1924-2010)
Benoit B. Mandelbrot; Benoît B. Mandelbrot; Benoît mandelbrot; B. Mandelbrot; Benoit Mandlebrot; Benoit mandelbrot; Benoît Mandelbrot; Benoit Mandelbrodt
  • Section of a Mandelbrot set
  • 210px
  • Mandelbrot speaking about the [[Mandelbrot set]], during his acceptance speech for the [[Légion d'honneur]] in 2006
  • A Mandelbrot set
Найдено результатов: 147
Benoit Mandelbrot         
<person> /ben'wa man'dl-bro/ Benoit B. Mandelbrot. The IBM scientist who wrote several original books on fractals and gave his name to the set he was discovered, the {Mandelbrot set} and coined the term "fractal" in 1975 from the Latin fractus or "to break". (1997-07-02)
Benoit Mandelbrot         

Benoit B. Mandelbrot (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". He referred to himself as a "fractalist" and is recognized for his contribution to the field of fractal geometry, which included coining the word "fractal", as well as developing a theory of "roughness and self-similarity" in nature.

In 1936, at the age of 11, Mandelbrot and his family emigrated from Warsaw, Poland, to France. After World War II ended, Mandelbrot studied mathematics, graduating from universities in Paris and in the United States and receiving a master's degree in aeronautics from the California Institute of Technology. He spent most of his career in both the United States and France, having dual French and American citizenship. In 1958, he began a 35-year career at IBM, where he became an IBM Fellow, and periodically took leaves of absence to teach at Harvard University. At Harvard, following the publication of his study of U.S. commodity markets in relation to cotton futures, he taught economics and applied sciences.

Because of his access to IBM's computers, Mandelbrot was one of the first to use computer graphics to create and display fractal geometric images, leading to his discovery of the Mandelbrot set in 1980. He showed how visual complexity can be created from simple rules. He said that things typically considered to be "rough", a "mess", or "chaotic", such as clouds or shorelines, actually had a "degree of order". His math and geometry-centered research included contributions to such fields as statistical physics, meteorology, hydrology, geomorphology, anatomy, taxonomy, neurology, linguistics, information technology, computer graphics, economics, geology, medicine, physical cosmology, engineering, chaos theory, econophysics, metallurgy, and the social sciences.

Toward the end of his career, he was Sterling Professor of Mathematical Sciences at Yale University, where he was the oldest professor in Yale's history to receive tenure. Mandelbrot also held positions at the Pacific Northwest National Laboratory, Université Lille Nord de France, Institute for Advanced Study and Centre National de la Recherche Scientifique. During his career, he received over 15 honorary doctorates and served on many science journals, along with winning numerous awards. His autobiography, The Fractalist: Memoir of a Scientific Maverick, was published posthumously in 2012.

Benoit B. Mandelbrot         
Benoît and the Mandelbrots         
COMPUTER MUSIC BRAND
Benoit and the Mandelbrots; Benoit and the Mandelbrots (Band); Benoît and the Mandelbrots (Band); Benoît and the Mandelbrots (band)
Benoît and the Mandelbrots, named after French American mathematician Benoît Mandelbrot, is a Computer Music band formed in 2009 in Karlsruhe, Germany. They are known for their live coded and Algorave performances, the Digital Arts practice of improvising with programming languages that gradually dissolves the distinction between composer and performer.
Mandelbrot set         
  • Attracting cycle in 2/5-bulb plotted over [[Julia set]] (animation)
  • A mosaic made by matching Julia sets to their values of c on the complex plane. Using this, one may see that the shape of the Mandelbrot set is formed. This is because the Mandelbrot set is itself a map of the connected Julia sets.
  • Attracting cycles and [[Julia set]]s for parameters in the 1/2, 3/7, 2/5, 1/3, 1/4, and 1/5 bulbs
  • With <math>z_{n}</math> iterates plotted on the vertical axis, the Mandelbrot set can be seen to bifurcate where the set is finite.
  • The first published picture of the Mandelbrot set, by [[Robert W. Brooks]] and Peter Matelski in 1978
  • Image of the Tricorn / Mandelbar fractal
  • Periods of hyperbolic components
  • Zooming into the boundary of the Mandelbrot set
  • A 4D Julia set may be projected or cross-sectioned into 3D, and because of this a 4D Mandelbrot is also possible.
  • Feigenbaum ratio]] <math>\delta</math>.
  • Correspondence between the Mandelbrot set and the [[bifurcation diagram]] of the [[logistic map]]
  • External rays of wakes near the period 1 continent in the Mandelbrot set
FRACTAL NAMED AFTER MATHEMATICIAN BENOIT MANDELBROT
Mandelbrot Set; Mandlebrot set; Mandlebrot fractal; Mandelbrot spiral; Mandelbrot fractal; The mandelbrot set; Mandel Set; Mandelbrot sequence; MLC conjecture; Z^2+c; Minibrot
¦ noun Mathematics a particular set of complex numbers which has a highly convoluted fractal boundary when plotted.
Origin
1980s: named after the Polish-born mathematician Benoit B. Mandelbrot.
Mandelbrot set         
  • Attracting cycle in 2/5-bulb plotted over [[Julia set]] (animation)
  • A mosaic made by matching Julia sets to their values of c on the complex plane. Using this, one may see that the shape of the Mandelbrot set is formed. This is because the Mandelbrot set is itself a map of the connected Julia sets.
  • Attracting cycles and [[Julia set]]s for parameters in the 1/2, 3/7, 2/5, 1/3, 1/4, and 1/5 bulbs
  • With <math>z_{n}</math> iterates plotted on the vertical axis, the Mandelbrot set can be seen to bifurcate where the set is finite.
  • The first published picture of the Mandelbrot set, by [[Robert W. Brooks]] and Peter Matelski in 1978
  • Image of the Tricorn / Mandelbar fractal
  • Periods of hyperbolic components
  • Zooming into the boundary of the Mandelbrot set
  • A 4D Julia set may be projected or cross-sectioned into 3D, and because of this a 4D Mandelbrot is also possible.
  • Feigenbaum ratio]] <math>\delta</math>.
  • Correspondence between the Mandelbrot set and the [[bifurcation diagram]] of the [[logistic map]]
  • External rays of wakes near the period 1 continent in the Mandelbrot set
FRACTAL NAMED AFTER MATHEMATICIAN BENOIT MANDELBROT
Mandelbrot Set; Mandlebrot set; Mandlebrot fractal; Mandelbrot spiral; Mandelbrot fractal; The mandelbrot set; Mandel Set; Mandelbrot sequence; MLC conjecture; Z^2+c; Minibrot
The Mandelbrot set () is the set of complex numbers c for which the function f_c(z)=z^2+c does not diverge to infinity when iterated from z=0, i.e.
Mandelbrot set         
  • Attracting cycle in 2/5-bulb plotted over [[Julia set]] (animation)
  • A mosaic made by matching Julia sets to their values of c on the complex plane. Using this, one may see that the shape of the Mandelbrot set is formed. This is because the Mandelbrot set is itself a map of the connected Julia sets.
  • Attracting cycles and [[Julia set]]s for parameters in the 1/2, 3/7, 2/5, 1/3, 1/4, and 1/5 bulbs
  • With <math>z_{n}</math> iterates plotted on the vertical axis, the Mandelbrot set can be seen to bifurcate where the set is finite.
  • The first published picture of the Mandelbrot set, by [[Robert W. Brooks]] and Peter Matelski in 1978
  • Image of the Tricorn / Mandelbar fractal
  • Periods of hyperbolic components
  • Zooming into the boundary of the Mandelbrot set
  • A 4D Julia set may be projected or cross-sectioned into 3D, and because of this a 4D Mandelbrot is also possible.
  • Feigenbaum ratio]] <math>\delta</math>.
  • Correspondence between the Mandelbrot set and the [[bifurcation diagram]] of the [[logistic map]]
  • External rays of wakes near the period 1 continent in the Mandelbrot set
FRACTAL NAMED AFTER MATHEMATICIAN BENOIT MANDELBROT
Mandelbrot Set; Mandlebrot set; Mandlebrot fractal; Mandelbrot spiral; Mandelbrot fractal; The mandelbrot set; Mandel Set; Mandelbrot sequence; MLC conjecture; Z^2+c; Minibrot
<mathematics, graphics> (After its discoverer, {Benoit Mandelbrot}) The set of all complex numbers c such that | z[N] | < 2 for arbitrarily large values of N, where z[0] = 0 z[n+1] = z[n]^2 + c The Mandelbrot set is usually displayed as an {Argand diagram}, giving each point a colour which depends on the largest N for which | z[N] | < 2, up to some maximum N which is used for the points in the set (for which N is infinite). These points are traditionally coloured black. The Mandelbrot set is the best known example of a fractal - it includes smaller versions of itself which can be explored to arbitrary levels of detail. {The Fractal Microscope (http://ncsa.uiuc.edu/Edu/Fractal/Fractal_Home.html/)}. (1995-02-08)
Benoît Battistelli         
FRENCH CIVIL SERVANT, PRESIDENT OF THE EUROPEAN PATENT OFFICE AND DEPUTY MAYOR FOR CULTURE OF SAINT GERMAIN EN LAYE
Benoît Batistelli; Benoit Batistelli; Benoit Battistelli
Benoît Battistelli (born 12 July 1950 in Paris, FranceEPO web site, President, Benoît Battistelli , August 2011.) is a French civil servant, former president of the European Patent Office (EPO) (2010-2018), and former head of the French National Industrial Property Institute (INPI).
Georges Benoît         
FRENCH CINEMATOGRAPHER (1883-1942)
Georges Benoit; G. Benoit
Georges Benoît (27 November 1883 – 1942) was a French cinematographer who worked on more than sixty films during his career. During the silent era, he was employed mostly in Hollywood.
Benoît Farjat         
ENGRAVER
Benoit Farjat
Benoît Farjat, a French engraver, was born at Lyons in 1646. He was taught the elements of the art by Guillaume Chasteau, whose manner he at first adopted; but he afterwards went to Rome, and acquired a greater command of the graver, and a better style of design, though he is not always correct.

Википедия

Benoit Mandelbrot

Benoit B. Mandelbrot (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". He referred to himself as a "fractalist" and is recognized for his contribution to the field of fractal geometry, which included coining the word "fractal", as well as developing a theory of "roughness and self-similarity" in nature.

In 1936, at the age of 11, Mandelbrot and his family emigrated from Warsaw, Poland, to France. After World War II ended, Mandelbrot studied mathematics, graduating from universities in Paris and in the United States and receiving a master's degree in aeronautics from the California Institute of Technology. He spent most of his career in both the United States and France, having dual French and American citizenship. In 1958, he began a 35-year career at IBM, where he became an IBM Fellow, and periodically took leaves of absence to teach at Harvard University. At Harvard, following the publication of his study of U.S. commodity markets in relation to cotton futures, he taught economics and applied sciences.

Because of his access to IBM's computers, Mandelbrot was one of the first to use computer graphics to create and display fractal geometric images, leading to his discovery of the Mandelbrot set in 1980. He showed how visual complexity can be created from simple rules. He said that things typically considered to be "rough", a "mess", or "chaotic", such as clouds or shorelines, actually had a "degree of order". His math- and geometry-centered research included contributions to such fields as statistical physics, meteorology, hydrology, geomorphology, anatomy, taxonomy, neurology, linguistics, information technology, computer graphics, economics, geology, medicine, physical cosmology, engineering, chaos theory, econophysics, metallurgy, and the social sciences.

Toward the end of his career, he was Sterling Professor of Mathematical Sciences at Yale University, where he was the oldest professor in Yale's history to receive tenure. Mandelbrot also held positions at the Pacific Northwest National Laboratory, Université Lille Nord de France, Institute for Advanced Study and Centre National de la Recherche Scientifique. During his career, he received over 15 honorary doctorates and served on many science journals, along with winning numerous awards. His autobiography, The Fractalist: Memoir of a Scientific Maverick, was published posthumously in 2012.