1. Benoit B. Mandelbrot Benoit Mandelbrot, a mathematician at IBM, is an expert in processes with unusual statistical properties, such as those in which a random variable's average or its variance is infinite. http://www.math.yale.edu/mandelbrot

Benoit B. Mandelbrot Sterling Professor of Mathematical Sciences Mathematics Department Yale University IBM Fellow Emeritus TJ Watson Research Center International Business Machines Corporation Earlier Photos... Continue...

2. Benoit Mandelbrot The brainchild of maverick mathematician Benoit Mandelbrot, who coined the term in the 1970s and popularized it in the http://www.wired.com/wired/archive/people/benoit_mandelbrot

SEARCH: Wired Magazine Wired News Webmonkey Animation Express HotWired Archives The Web -> HotBot SUBSCRIBE New - Special Offer! Give Wired International Renew ... Customer Service BROWSE ARCHIVE Issue-Date 11.04-Apr 03 11.03-Mar 03 11.02-Feb 03 11.01-Jan 03 10.12-Dec 02 10.11-Nov 02 10.10-Oct 02 10.09-Sep 02 10.08-Aug 02 10.07-Jul 02 10.06-Jun 02 10.05-May 02 10.04-Apr 02 10.03-Mar 02 10.02-Feb 02 10.01-Jan 02 9.12-Dec 01 9.11-Nov 01 9.10-Oct 01 9.09-Sep 01 9.08-Aug 01 9.07-Jul 01 9.06-Jun 01 9.05-May 01 9.04-Apr 01 9.03-Mar 01 9.02-Feb 01 9.01-Jan 01 8.12-Dec 00 8.11-Nov 00 8.10-Oct 00 8.09-Sep 00 8.08-Aug 00 8.07-Jul 00 8.06-Jun 00 8.05-May 00 8.04-Apr 00 8.03-Mar 00 8.02-Feb 00 8.01-Jan 00 7.12-Dec 99 7.11-Nov 99 7.10-Oct 99 7.09-Sep 99 7.08-Aug 99 7.07-Jul 99 7.06-Jun 99 7.05-May 99 7.04-Apr 99 7.03-Mar 99 7.02-Feb 99 7.01-Jan 99 6.12-Dec 98 6.11-Nov 98 6.10-Oct 98 6.09-Sep 98 6.08-Aug 98 6.07-Jul 98 6.06-Jun 98 6.05-May 98 6.04-Apr 98 6.03-Mar 98 6.02-Feb 98 6.01-Jan 98 5.12-Dec 97 5.11-Nov 97 5.10-Oct 97 5.09-Sep 97 5.08-Aug 97 5.07-Jul 97 5.06-Jun 97 5.05-May 97 5.04-Apr 97 5.03-Mar 97

3. Mandelbrot Benoit Mandelbrot. Born 20 Nov 1924 in Warsaw, Poland. Benoit Mandelbrotwas largely responsible for the present interest in fractal geometry. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Mandelbrot.html

Benoit Mandelbrot Born: 20 Nov 1924 in Warsaw, Poland Click the picture above to see five larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Benoit Mandelbrot was largely responsible for the present interest in fractal geometry. He showed how fractals can occur in many different places in both mathematics and elsewhere in nature. Mandelbrot was born in Poland in 1924 into a family with a very academic tradition. His father, however, made his living buying and selling clothes while his mother was a doctor. As a young boy, Mandelbrot was introduced to mathematics by his two uncles. Hadamard in this post, took responsibility for his education. In fact the influence of Szolem Mandelbrojt was both positive and negative since he was a great admirer of Hardy and Hardy 's philosophy of mathematics. This brought a reaction from Mandelbrot against pure mathematics, although as Mandelbrot himself says, he now understands how Hardy 's deep felt pacifism made him fear that applied mathematics, in the wrong hands, might be used for evil in time of war. The war, the constant threat of poverty and the need to survive kept him away from school and college and despite what he recognises as "marvellous" secondary school teachers he was largely self taught.

4. Benoit Mandelbrot From FOLDOC Benoit Mandelbrot. person /ben'wa man'dlbro/ Benoit B. Mandelbrot.The IBM scientist who wrote several original books on fractals http://wombat.doc.ic.ac.uk/foldoc/foldoc.cgi?Benoit Mandelbrot

5. Mandelbrot Benoit From FOLDOC mandelbrot benoit. biography, history of philosophy polishamericanmathematician (1924-). Mandelbrot's The Fractal Geometry of http://www.swif.uniba.it/lei/foldop/foldoc.cgi?Mandelbrot Benoit

6. Mandelbrot From FOLDOC mandelbrot benoit. Mandelbrot set. mathematics, graphics (After its discoverer,Benoit Mandelbrot) The set of all complex numbers c such that. http://www.swif.uniba.it/lei/foldop/foldoc.cgi?Mandelbrot

7. Benoit Mandelbrot From FOLDOC Benoit Mandelbrot. person /ben'wa man'dlbro/ Benoit B. Mandelbrot.The IBM scientist who wrote several original books on fractals http://www.instantweb.com/D/dictionary/foldoc.cgi?Benoit Mandelbrot

8. DBLP: Benoit Mandelbrot Benoit Mandelbrot. 1983. 6, Jean Voldman, Benoit Mandelbrot, Lee W. Hoevel, JoshuaKnight, Philip L. Rosenfeld Fractal Nature of SoftwareCache Interaction. http://www.informatik.uni-trier.de/~ley/db/indices/a-tree/m/Mandelbrot:Benoit.ht

Benoit Mandelbrot List of publications from the DBLP Bibliography Server FAQ Ask others: ACM CiteSeer CSB Google ... Jean Voldman , Benoit Mandelbrot, Lee W. Hoevel Joshua Knight Philip L. Rosenfeld : Fractal Nature of Software-Cache Interaction. IBM Journal of Research and Development 27 Benoit Mandelbrot: Fractal Geometry of Nature. W. H. Freeman 1977 Benoit Mandelbrot: Final Note on a Class of Skew Distribution Functions: Analysis and Critique of a Mode Due to H. A. Simon. Information and Control 4 Benoit Mandelbrot: Post Scriptum to ``Final Note''. Information and Control 4 Benoit Mandelbrot: A Note On a Class of Skew Distribution Functions: Analysis and Critique of a Paper by H. A. Simon. Information and Control 2 Benoit Mandelbrot: A Note on a Law of Berry and on Insistence Stress. Information and Control 1 DBLP: [ Home Author Title Conferences ... Michael Ley (ley@uni-trier.de) Fri Mar 28 15:24:21 2003

9. Benoit Mandelbrot mandelbrot benoit. Pope,N. Open Skies, Closed Minds. 1999 (106).pages cited this search 1 Order hard copy of these pages Show a http://www.namebase.org/xmag/Benoit_Mandelbrot.html

MANDELBROT BENOIT Pope,N. Open Skies, Closed Minds. 1999 pages cited this search: 1 Order hard copy of these pages Show a social network diagram for this name Try another NameBase search Back to home page

10. Dead Or Alive? - Benoit Mandelbrot Search, New Name, Comment, Instructions, Home, Profile, Send to friend, Lastupdated 01/25/2003. Go Back Alive Benoit Mandelbrot Field Mathematics. http://www.dead-or-alive.org/dead.nsf/mnames-nf/Mandelbrot Benoit

Intro/News Page A B C ... Related links Advertisement Search New Name Comment Instructions Home Profile Send to friend Last updated: 03/11/2003 Alive Benoit Mandelbrot Field: Mathematics Info: Discoverer of the Mandlebrot sets, geometric patterns that go to infinity Date of Birth: Current Age:

11. Benoit Mandelbrot Benoit Mandelbrot. Benoit Mandelbrot, a mathematician at IBM, is anexpert in processes with unusual statistical properties, such http://www.exploratorium.edu/complexity/CompLexicon/mandelbrot.html

Benoit Mandelbrot Benoit Mandelbrot a mathematician at IBM , is an expert in processes with unusual statistical properties, such as those in which a random variable's average or its variance is infinite. His early work in the 1950's and 1960's suggested that the variations in stock market prices, the probabilities of words in English, and the fluctuations in turbulent fluids, might be modeled by such strange processes. Later he came to study the geometric features of these processes and realized that one unifying aspect was their self-similarity. In the mid-1970s he coined the word "fractal" as a label for the underlying objects, since they had fractional dimensions. Fractals are shapes or behaviors that have similar properties at all levels of magnification or across all times. Just as the sphere is a concept that unites raindrops, basketballs, and Mars, so fractals are a concept that unites clouds, coastlines, plants, and chaotic attractors. Exhibits CompLexicon Timeline

12. Benoit Mandelbrot Benoit Mandelbrot. In 1963 Benoit Mandelbrot introduced the fractal concept.Fractals are shapes or behaviors that have similar properties http://www.exploratorium.edu/complexity/lexicon/mandelbrot.html

Benoit Mandelbrot In 1963 Benoit Mandelbrot introduced the fractal concept Fractals are shapes or behaviors that have similar properties at all levels of magnification. Just as the sphere is a concept that unites raindrops, basketballs and Mars, so fractal is a concept that unites clouds, coastlines, plants and strange attractors Dr. Mandelbrot dropped in for a visit during our 2001 series of webcasts about Antarctica. We took some time out from the freezing cold to interview him. Click here for to view the webcast. You'll need the free RealPlayer Exhibits Lexicon Timeline

13. Benoit B. Mandelbrot Benoit B. Mandelbrot, 1924. Major Works of Benoit Mandelbrot Logique,language et theorie de l'information, with Apostel, 1957. http://cepa.newschool.edu/het/profiles/mandelb.htm

Benoit B. Mandelbrot, 1924- Major Works of Benoit Mandelbrot Logique, language et theorie de l'information , with Apostel, 1957. "The Pareto-Levy Law and the Distribution of Income", 1960, IER "New Methods of Statistical Economics", 1963, JPE "The Variation of Certain Speculative Prices", 1963, J of Business "Forecasts of Future Prices, Unbiased Markets and Martingale Models", 1966, J of Business "When Can Price be Arbitraged Efficiently? A limit to the validity of the random walk and martingale models", 1971, REStat "Statistical Methodology for Non-Periodic Cycles: from the covariance to R/S analysis", 1972, Annals Econ. Social Measurement Fractals: form, chance and dimension The Fractal Geometry of Nature Resources on Benoit Mandelbrot Mandelbrot's Homepage at Yale Mandelbrot Page at MacTutor Mathematics Archive Home Alphabetical Index Schools of Thought Surveys and Essays ... Frames

14. Benoit Mandelbrot Benoit Mandelbrot, the Man Behind the Fractals. Benoit Mandelbrot, bornin Warsaw, Poland in 1924, his family immigrated to France. http://www.geocities.com/SouthBeach/Surf/5404/theman.html

Benoit Mandelbrot, the Man Behind the Fractals The turning point in the aspect of fractals came with the discovery of fractal geometry by the Polish-born French mathematician Benoit B. Mandelbrot in the 1970s. He developed fractal geometry as a separate field of mathematics. Benoit Mandelbrot, born in Warsaw, Poland in 1924, his family immigrated to France. He wasn't very good with his schooling, in fact, he may have never learned his multiplication tables. Mandelbrot attended schools in France as well as the United States, obtaining his doctorate in mathematics from the University of Paris in 1952. He has taught economics at Harvard University, engineering at Yale, physiology at the Albert Einstein College of Medicine, and mathematics in Paris and Geneva. Moreover, Mandelbrot has worked as an IBM fellow at the Thomas B. Watson Research Center in New York since 1958. The word fractal, from the latin fractus , was coined in 1975 by Benoit B. Mandelbrot to denote highly irregular shapes and mathematical functions. The Euclidean geometry and the theory of smooth functions describe regular shapes and patterns such as lines, planes, and very smooth sufaces. Mandelbrot adopted a much more abstract definition of dimension than the Euclidean geometry, stating that the dimension of a fractal must be used as an exponent when measuring its size. Mandelbrot became fascinated with Julia's discoveries around 1977. Mandelbrot's interest in turbulence led to the development of fractal geometry.

15. Benoit Mandelbrot - Wikipedia Benoit Mandelbrot. Z Wikipedii, wolnej encyklopedii. Benoit Mandelbrotjest francuskim matematykiem, urodzonym w 1924 roku w Warszawie. http://pl.wikipedia.org/wiki/Benoit_Mandelbrot

Strona gł³wna Ostatnie zmiany Edytuj Historia strony Strony specjalne Zmiana moich preferencji Obserwowane Ostatnio zmienione Przesyłanie plik³w Lista obrazk³w i multimedi³w Zarejestrowani użytkownicy Statystyka Losowa strona Porzucone artykuły Porzucone pliki Najpopularniejsze Najbardziej potrzebne Najkr³tsze Najdłuższe Nowoutworzone Wszystkie Zablokowane adresy IP Prosta administracja KsiÄ Å¼ki Wersja do druku Dyskusja Zaloguj mnie Pomoc Wersja: angielska niemiecka Benoit Mandelbrot Z Wikipedii, wolnej encyklopedii. Benoit Mandelbrot jest francuskim matematykiem , urodzonym w roku w Warszawie . W latach mieszkał we Francji. Pracował w Centre National de la Recherche Scientifique w Paryżu , a następnie na Uniwersytecie w Lille. Od 1957 roku pracował w USA , dla firmy IBM , miał zatem dostęp do najnowocześniejszych, jak na owe czasy, komputer³w. Mandelbrot dotarł do prac dw³ch francuskich matematyk³w: Gaston Julia i Pierre Fatou , kt³rzy badali zachowanie się iteracji pewnych funkcji na liczbach zespolonych. Mandelbrot wykorzystal do tego celu komputery. Uzyskane przez niego wykresy, przerosły naśmielsze oczekiwania. Uzyskane rysunki miały fantastyczne kształty. Niezależnie od powiększenia ukazywały coraz to nowe szczeg³Å‚y. Były fraktalami Zobacz też: liczba zespolona Pierre Fatou Gaston Julia Wacław Sierpiński ... Dolinkowane Wersja: angielska niemiecka Strona gł³wna O Wikipedii ... Ostatnie zmiany Tę stronę obejrzano 102 razy; ostatnio zmodyfikowano o 17:30, 16 sty 2003; udostępniana jest w oparciu o licencję

16. Benoit Mandelbrot - ResearchIndex Document Query 11 Mandelbrot, Benoit, The Fractal Geometry of Nature, WH www.llnl.gov/graphics/docs/animation.pdfLong Range Dependence In Heavy Tailed Stochastic Processes http://citeseer.nj.nec.com/cs?q=Benoit Mandelbrot

17. ThinkQuest Library Of Entries Benoit Mandelbrot. Benoit Mandelbrot is most noted as a researcherof pure mathematics at IBM during the 1960s. Mandelbrot was one http://library.thinkquest.org/12170/history/mandel.html

Welcome to the ThinkQuest Internet Challenge of Entries The web site you have requested, Making Order out of Chaos , is one of over 4000 student created entries in our Library. Before using our Library, please be sure that you have read and agreed to our To learn more about ThinkQuest. You can browse other ThinkQuest Library Entries To proceed to Making Order out of Chaos click here Back to the Previous Page The Site you have Requested ... Making Order out of Chaos click here to view this site A ThinkQuest Internet Challenge 1997 Entry Click image for the Site Languages : Site Desciption This site is well-named, since the study of chaos can bechaotic. Chaos theory is a recent development in mathematics dealing with the complexity of nature. Probably the most well-known aspects of chaos theory are fractal images. Fractals appear to be complex and hard-to-comprehend at first glance, but the underlying code is very simple. Stunning images accompany the well-organized pages. If you're confused about chaos, find some order here. Students Brian Wyoming Valley West High School PA, United States

18. Benoit Mandelbrot Benoit Mandelbrot. Benoit Mandelbrot. A note on a law of Berry andon insistence stress. Information and 1957. Benoit Mandelbrot. A http://theory.lcs.mit.edu/~iandc/Authors/mandelbrotbenoit.html

Benoit Mandelbrot Benoit Mandelbrot. A note on a law of Berry and on insistence stress. Information and Control , 1(1):76-81, September 1957. Benoit Mandelbrot. A note on a class of skew distribution functions: Analysis and critique of a paper by H. A. Simon. Information and Control , 2(1):90-99, April 1959. Benoit Mandelbrot. Final note on a class of skew distribution functions: Analysis and critique of a mode due to H. A. Simon. Information and Control , 4(2-3):198-216, September 1961. Benoit Mandelbrot. Post scriptum to ``final note''. Information and Control , 4(2-3):300-304, September 1961. Shortcuts: Information and Computation homepage Bibliography top level Information and Computation Author Index Search the HBP database

19. Benoit Mandelbrot Benoit Mandelbrot 1924 Mandelbrot was born into a family with a veryacademic tradition. As a young boy, Mandelbrot was introduced http://www.stetson.edu/~efriedma/periodictable/html/Mt.html

Benoit Mandelbrot After completing his studies, Mandelbrot went to the United States where he visited the California Institute of Technology. From there he went to the Institute for Advanced Study in Princeton where he was sponsored by John von Neumann. Mandelbrot returned to France briefly, but in 1958 he returned permanently, and began his long standing and most fruitful collaboration with IBM as a Research Fellow and Research Professor. With the aid of computer graphics, Mandelbrot was able to show how Julia's work is a source of some of the most beautiful fractals known today. To do this he had to develop not only new mathematical ideas, but also he had to develop some of the first computer programs to print graphics. Mandelbrot discovered the Mandelbrot set, the most famous fractal. His work was first put elaborated in a 1975 book, and more fully in The fractal geometry of nature in 1982. As well as IBM Fellow, Mandelbrot was Professor of the Practice of Mathematics at Harvard University. He also held appointments as Professor of Engineering at Yale, of Professor of Mathematics at the Ecole Polytechnique, of Professor of Economics at Harvard, and of Professor of Physiology at the Einstein College of Medicine. Mandelbrot's excursions into so many different branches of science was no accident but a very deliberate decision on his part. It was the fact that fractals were so widely found which in many cases provided the route into other areas. Mandelbrot has received numerous honours and prizes in recognition of his remarkable achievements. For example, in 1985 Mandelbrot was awarded the Barnard Medal for Meritorious Service to Science. The following year he received the Franklin Medal. In 1987, he was honoured with the Alexander von Humboldt Prize. He received the Steinmetz Medal in 1988, and many more awards including the Nevada Medal in 1991, and the Wolf prize for physics in 1993.

20. Benoit Mandelbrot - Wikipedia Other languages Deutsch Polski. Benoit Mandelbrot. From Wikipedia,the free encyclopedia. Benoît Mandelbrot, (born November 20 http://www.wikipedia.org/wiki/Benoit_Mandelbrot

Main Page Recent changes Edit this page Older versions Special pages Set my user preferences My watchlist Recently updated pages Upload image files Image list Registered users Site statistics Random article Orphaned articles Orphaned images Popular articles Most wanted articles Short articles Long articles Newly created articles Interlanguage links All pages by title Blocked IP addresses Maintenance page External book sources Printable version Talk Log in Help Other languages: Deutsch Polski Benoit Mandelbrot From Wikipedia, the free encyclopedia. Benoît Mandelbrot , (born November 20 ) is a French mathematician , largely responsible for the present interest in fractal geometry Born in Warsaw, Poland , he has lived in France for much of his life. Mandelbrot was born into a family with a strong academic tradition - his mother was a doctor and his uncle (?), Szolem Mandelbrot , was a famous Parisian mathematician. His father, however, made his living buying and selling clothes. His family left Poland for Paris in the 1930s to escape Hitler's regime. There, Mandelbrot was introduced to mathematics by his two uncles. Educated in France , he developed the mathematics of Gaston Julia , and began the (now common) graphing of equations on a computer. Mandelbrot originated what is now known as

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