Mandelbrot Zoom
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Mandelbrot Zoom
Mandelbrot may refer to: * Benoit Mandelbrot (1924–2010), a mathematician associated with fractal geometry * Mandelbrot set, a fractal popularized by Benoit Mandelbrot * Mandelbrot Competition, a mathematics competition * Mandelbrot (cookie) Mandelbrot (), with a number of variant spellings, and called mandel bread or kamish in English-speaking countries and kamishbrot in Ukraine, is a type of cookie found in Ashkenazi Jewish cuisine and popular amongst Eastern European Jews. The Yi ..., dessert associated with Eastern European Jews * Szolem Mandelbrojt, a Polish-French mathematician {{disambiguation, surname Jewish surnames Yiddish-language surnames ...
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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 ...
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Mandelbrot Set
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., for which the sequence f_c(0), f_c(f_c(0)), etc., remains bounded in absolute value. This set was first defined and drawn by Robert W. Brooks and Peter Matelski in 1978, as part of a study of Kleinian groups. Afterwards, in 1980, Benoit Mandelbrot obtained high-quality visualizations of the set while working at IBM's Thomas J. Watson Research Center in Yorktown Heights, New York. Images of the Mandelbrot set exhibit an elaborate and infinitely complicated boundary that reveals progressively ever-finer recursive detail at increasing magnifications; mathematically, one would say that the boundary of the Mandelbrot set is a ''fractal curve''. The "style" of this recursive detail depends on the region of the set boundary being examined. Mandelbrot set images may be created by sampling the complex numbers and testing, for each ...
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Mandelbrot Competition
Named in honor of Benoit Mandelbrot, the Mandelbrot Competition was a mathematics competition founded by Sam Vandervelde, Richard Rusczyk and Sandor Lehoczky that operated from 1990 to 2019. It allowed high school students to compete individually and in four-person teams. Competition The Mandelbrot was a "correspondence competition," meaning that the competition was sent to a school's coach and students competed at their own school on a predetermined date. Individual results and team answers were then sent back to the contest coordinators. The most notable aspects of the Mandelbrot competition were the difficulty of the problems (much like the American Mathematics Competition and harder American Invitational Mathematics Examination problems) and the proof-based team round. Many past medalists at the International Mathematics Olympiad first tried their skills on the Mandelbrot Competition. History The Mandelbrot Competition was started by Sam Vandervelde, Richard Rusczyk and Sand ...
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Mandelbrot (cookie)
Mandelbrot (), with a number of variant spellings, and called mandel bread or kamish in English-speaking countries and kamishbrot in Ukraine, is a type of cookie found in Ashkenazi Jewish cuisine and popular amongst Eastern European Jews. The Yiddish word ''mandlbroyt'' literally means almond bread, a reference to its common ingredient of almonds. It is typically formed by baking a loaf which is then cut into small slabs and twice-baked in order to form a crunchy exterior. The cookies were popular in Eastern Europe among rabbis, merchants and other itinerant Jews as a staple dessert that kept well. Its precise origin is unknown, as is its historic relationship with biscotti, a similar Italian cookie. It is made with oil and not butter and so is pareve and can be served as part of the Shabbat dinner. The basic ingredients are flour, sugar, eggs and oil. Additional ingredients vary between bakers, but common additions include almonds, walnuts, cinnamon, chocolate chips or ...
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Szolem Mandelbrojt
Szolem Mandelbrojt (10 January 1899 – 23 September 1983) was a Polish-French mathematician who specialized in mathematical analysis. He was a professor at the Collège de France from 1938 to 1972, where he held the Chair of Analytical Mechanics and Celestial Mechanics. Biography Szolem Mandelbrojt was born on 10 January 1899 in Warsaw, Poland into a Jewish family of Lithuanian descent. He was initially educated in Warsaw, then in 1919 he moved to Kharkov, Ukraine (then USSR) and spent a year as a student of the Russian mathematician Sergei Bernstein. A year later, he emigrated to France and settled in Paris. In subsequent years, he attended the seminars of Jacques Hadamard, Henri Lebesgue, Émile Picard, and others. In 1923, he received a doctorate from Paris-Sorbonne University on the analytic continuation of the Taylor series. Hadamard was his Ph.D. advisor. In 1924 Mandelbrojt was awarded a Rockefeller Fellowship in the United States. In May 1926 he married Gladys Manuell ...
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Jewish Surnames
Jewish surnames are family names used by Jews and those of Jewish origin. Jewish surnames are thought to be of comparatively recent origin; the first known Jewish family names date to the Middle Ages, in the 10th and 11th centuries CE. Jews have some of the largest varieties of surnames among any ethnic group, owing to the geographically diverse Jewish diaspora, as well as cultural assimilation and the recent trend toward Hebraization of surnames. Some traditional surnames relate to Jewish history or roles within the religion, such as Cohen ("priest"), Levi, Shulman ("synagogue-man"), Sofer ("scribe"), or Kantor ("cantor"), while many others relate to a secular occupation or place names. The majority of Jewish surnames used today developed in the past three hundred years. History Historically, Jews used Hebrew patronymic names. In the Jewish patronymic system the first name is followed by either ''ben-'' or ''bat-'' ("son of" and "daughter of," respectively), and then the f ...
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