41. De Juliagalerij rand van de verzameling van de punten die niet naar oneindig evolueren noemen wede juliaverzameling, genaamd naar de Franse wiskundige gaston julia (18931978 http://www.kubrussel.ac.be/geometry/julia.html

De Juliagalerij Het bifurcatiepatroon Jouw boeiende ontdekkingsreis doorheen de wereld van de fractalen begint bij een eenvoudig model. Veronderstel dat we een bevolkingsaantal van 1000 eenheden hebben op een bepaald tijdstip. Op een volgend tijdstip bedraagt het aantal 1250. We zien dat de bevolking aangegroeid is met een aangroei van 25%. Indien deze aangroei constant blijft gedurende de opeenvolgende periodes, dan zal het bevolkingsaantal exponentieel stijgen. Dit eenvoudig model blijkt voor korte termijn situaties goed toepasbaar in heel wat gevallen. Voor lange termijn echter is het utopisch te veronderstellen dat een populatie kan blijven aangroeien aan eenzelfde tempo. Dit zag de Belgische wiskundige Pierre François Verhulst in 1845 reeds in en formuleerde daarom een nieuw, meer realistisch model. Hij veronderstelde dat de aangroei constant evenredig is met het verschil van het maximale en het werkelijke bevolkingsaantal op gelijk welk moment. Dit model staat in de literatuur bekend als het Verhulstmodel. De constante evenredigheidsfactor vinden we in de figuur die we hier zien op de x-as. Op de y-as vinden we het uiteindelijke bevolkingsaantal horende bij de overeenkomstige evenredigheids-factor. De figuur zelf wordt ook wel het bifurcatiepatroon of verdubbelingspatroon genoemd. Hierbij valt op dat, voor kleine waarden van de evenredigheidsfactor, het bevolkingsaantal zich stabiliseert tot een vaste waarde. Eens een cruciale grens overschreden, oscilleert het aantal tussen twee mogelijke waarden. Drijven we de evenredigheidsfactor verder op, dan zien we achtereenvolgens 4, 8, 16, 32, mogelijke waarden voor het bevolkingsaantal. Uiteindelijk bevinden we ons in de chaos. Merkwaardig is wel dat deze chaos weer overgaat in orde, voor bepaalde waarden van de evenredigheidsfactor. Een fractaal is geboren.

42. Lexikon - Gaston Maurice Julia Definition Erklärung Bedeutung Translate this page Was Wer Wo ist gaston Maurice julia - Definition Erklärung Bedeutung von gastonMaurice julia. Logo Net-Lexikon, Google News zum Stichwort. gaston Maurice julia. http://www.net-lexikon.de/Gaston-Maurice-Julia.html

Suche: Info Mitglied werden A B ... Impressum Beta 0.71 powered by: akademie.de Wikipedia PHP PostgreSQL ... englischen Lexikon Google News zum Stichwort Gaston Maurice Julia Definition, Bedeutung, Erkl¤rung im Lexikon Gaston Maurice Julia war ein Wissenschaftler , geboren am 3. Februar , gestorben am 19. M¤rz Julia legte mit seinem Aufsatz "M©moire sur l'it©ration des fonctions rationnelles" (J. Math. Pures et Appl. 8 vom ) die Grundlagen f¼r die Forschung an Fraktal en; er wurde bekannt durch die pr¤zise Beschreibung der Julia-Menge , deren Erforschung sp¤ter von Benoit Mandelbrot aufgegriffen wurde. Weblinks http://www.bath.ac.uk/~ma0etd/fractals/julia.htm B¼cher bei Amazon.de zum Stichwort: Gaston Maurice Julia Info: Dieser Artikel aus Wikipedia wird durch die GNU FDL lizenziert. Im Net-Lexikon weitersuchen HTML-Tag zur Verlinkung dieses Stichworts auf Ihrer Web-Site: nach oben

43. FractSurf - Biographies Of Benoit Mandelbrot And Gaston Maurice Julia gaston Maurice julia. gaston julia was one of the VORVÄTER of the theory of themodern dynamic system and is known for what we today call the julia set . http://www.fractsurf.de/e_bios.html

if(parent.frames.length!=0) parent.frames[2].location.replace("ueber.html?Biographies"); Benoit Mandelbrot Gaston Maurice Julia Benoit Mandelbrot back to top "Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line." Benoit B. Mandelbrot, The Fractal Geometry of Nature, 1983. 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.

44. FractSurf - Biographien Von Benoit Mandelbrot Und Gaston Maurice Julia Translate this page gaston julia war einer der Vorväter der Theorie des modernen dynamischen Systemsund ist bekannt geworden durch das, was wir heute die juliamenge nennen. http://www.fractsurf.de/bios.html

if(top.frames.length!=0) top.frames[2].location.replace("ueber.html?Biographien"); Benoit Mandelbrot Gaston Maurice Julia Benoit Mandelbrot Benoit B. Mandelbrot, Die Fraktalgeometrie in der Natur ,1983 Benoit Mandelbrot Hadamard Hardy und Hardy Hardy von Neumann erhielt. 1945 brachte Mandelbrots Onkel ihn in Kontakt mit Julia Julia Julia Z in der komplexen Ebene. Berechnung: Z Z Z Z Z Z Z Z Z Wenn die Folge Z Z Z Z Z in der Mandelbrotmenge liegt. Divergiert die Folge dagegen, dann liegt der Punkt nicht in der Menge. Mandelbrots Arbeit wurde erstmals 1975 in seinem Buch Les objets fractals, forn, hasard et dimension The fractal geometry of nature Am 23 June 1999 verlieh die University of St Andrews Mandelbrot den Honorary Degree of Doctor of Science. Auf der Feierlichkeit hielt Peter Clark eine Rede [3], in der er Mandelbrots Werke und Erfolge herausstellte. Ein Auszug daraus: ... am Ende eines Jahrhunderts, an dem man die Vorstellung von menschlichem Fortschritt intellektuell, politisch und moralisch bestenfalls als unklar und zweifelhaft bezeichenen kann, gibt es letztendlich nur ein Gebiet menschlichen Schaffens, auf dem die Idee und der Erfolg von wahrem Fortschritt unzweideutig und klar sind. Das ist die Mathematik. 1900 hielt David Hilbert Hilbert Dedekind und George Cantor , wobei wir [St Andrews University] intelligent genug waren, den zweitgenannten 1911 zu ehren.

45. Google¥í¥´: Gaston Julia ¤Îµ­Ç°Æü :: [SEM-R] The summary for this Japanese page contains characters that cannot be correctly displayed in this language/character set. http://www.sem-research.jp/sem/google/20040203202836.html

SEM ¥ê¥µ¡¼¥Á Google¥í¥´: gaston julia ¤Îµ­Ç°Æü Yahoo! MSN Google SEM ... Froogle Google¥í¥´: gaston julia ¤Îµ­Ç°Æü TrackBack (1) Google 2003 Google ¥í¥´¤¬ÊѤ襤Ƥ¤¤Þ¤¹¡£º£Æü¤Ïgaston julia¡£gaston julia¤È¤Ï¯¤«¡© gaston julia ¡Ê¥¬¥¹¥È¥ó¡¦¥¸¥å¥ê¥¢¡Ë¤È¤Ï¥Õ¥é¥ó¥¹¤Î¿ô³Ø¼Ô¡£¡Ö¥¸¥å¥ê¥¢½¸¹ç¡×¤Î¥¬¥¹¥È¥ó¥¸¥å¥ê¥¢¤Ç¤¹¡£ http://web2.incl.ne.jp/yaoki/k5.htm ¤Ê¤ª¡¢¤³¤Î Google¥í¥´¤Î±Æ¶Á¤Ç°ì»þÊĺ¿¤»¤¶¤ë¤ò¤¨¤Ê¤«¤¤¿¥µ¥¤¥È¤¬ " Looking for images of quaternion fractals? ¤³¤Îµ­»ö¤Ø¤Î¥È¥é¥¥¯¥Ð¥¥¯URL: Yahoo!JAPAN¡¢¥Ç¥£¥ì¥¯¥È¥ê¸¡º÷¤Î¸¡º÷·ë²Ì¤ò¹¹¿· ¥ª¡¼¥Ð¡¼¥Á¥å¥¢¡¢asahi.com ¤È¸¡º÷µÚ¤Ó¥Ú¥¤¥É¥ê¥¹¥Æ¥£¥ó¥°ÇÛ¿®¤ÇÄó·È ¥ë¥¥¯¥¹¥Þ¡¼¥È¡¢BestGate¤È¥Ú¥¤¥É¥ê¥¹¥Æ¥£¥ó¥°ÇÛ¿®¤ÇÄó·È [Ï¢ºÜ] ¾¡¼ê¤Ë¿ÇÇ ´ë¶È¥µ¥¤¥È¤ÎSEO ¡Á ¡Ø¥Ñ¥½¥³¥óľÈÎ¥µ¥¤¥È¡Ù2004/07 ... GoToast¡¢Ì¾¾Î¤òAtlas OnePoint¤ËÊѹ¹ Comments Post a comment Name: Email Address: URL: Remember personal info? Yes No Comments: ¸¡º÷¥¨¥ó¥¸¥ó¥Ë¥å¡¼¥¹ 2004 [Part I] ¸¡º÷¥¨¥ó¥¸¥ó¥Ë¥å¡¼¥¹ 2004 [Part II] SEO SEM ... SEM-R RSS Feed

46. Fractals! These were named after gaston Maurice julia (18931978), a French mathematician. Here sa picture of gaston Maurice julia before he sustained his injury. http://www.bath.ac.uk/~ma0etd/fractals/julia.htm

Julia Sets. Here we shall take a look at a specific type or set of fractals - the Julia sets. These were named after Gaston Maurice Julia (1893-1978), a French mathematician. He was a former teacher of Mandelbrot and was described as "brilliant" by that particular pupil. Julia taught at Ecole Polytechnique in Paris during the 1940's. Julia was born on February 3rd, 1893 in Sidi Bel Abbes, Algeria. He fought in the 1st World War in which he suffered an unfortunate injury that would have him wear a leather strap across his face for the rest of his life where he lost his nose. Here's a picture of Gaston Maurice Julia before he sustained his injury. At the age of 25, he published a paper called "Memoire sur l'iteration des fonctions" which is regarded as a masterpiece by many mathematicians. The subject of the paper was the iteration of rational functions as you may be able to guess from the title! In this paper, Julia also gave his first description of a Julia set. Unfortunately, Julia did not live in the computer age and therefore did not live long enough to see anything other than a few crude sketches of his sets. So what is a Julia set? Well, to start with, as you may have guessed, Julia sets are fractals. These particular fractals are produced through iterative processes. The very same equation used to produce the Mandlebrot set is in fact used (and was used firstly) to describe Julia sets. What's different is in the way in which it is used.

47. Twin Dragon, Gaston Julia, Fractal Tiling For Home Decoration, Julia Set It was discovered 80 years ago by gaston julia without the use of computer or image.The paper was forgotten for 50 years because it had no illustrations. http://www.geocities.com/wenjin92014/java/dragon.htm

Oh, well ... Looks like your browser is not enabled for JAVA applets ! Need to upgrade the browser to see the graphics. Pick the iteration Pick the tile size Here is a description by Hans Lauwerier "Fractals are shapes in which an identical motif repeats itself on an ever diminishing scale". Most fractal images are complex in appearance and will not fit together. Dr. Fathauer showed lots of fractal tiles that fit together. The tile shrinks in size as you progress out from a nucleus. The tiles are similar and the pattern has rotation symmetry. The fractal tiles shown here, Koch Island and Twin Dragon, are periodic tiles with translational symmetry. The fractal properties make the boundary features shrink in size and become more complex. But the tile retains the same area and fits together with neighboring tiles. Julia fractals caught a lot of attention because the graphics is spectacular. It was discovered 80 years ago by Gaston Julia without the use of computer or image. The paper was forgotten for 50 years because it had no illustrations. It was brought back into the public attention by Mandelbrot and computer graphics really gave it life. This fractal tiling is suitable for building decoration and interior design. This Twin Dragon looks good with 1 inch square tiles on a bath enclosure.

48. Biografía De Gaston Maurice Julia Translate this page BIOGRAFÍA DE gaston MAURICE julia. El matemático gaston Mauricejulia nació el 3 de Febrero de 1893 en Sidi Bel Abbès, Algeria. http://www.geocities.com/capecanaveral/cockpit/5889/julia.html

BIOGRAFÍA DE... GASTON MAURICE JULIA El matemático Gaston Maurice Julia nació el 3 de Febrero de 1893 en Sidi Bel Abbès, Algeria. Fallece el 19 de marzo de 1978 en París, Francia. Gaston Julia fue, exactamente, uno de los padres de la Teoría de Sistemas Dinámicos moderna, recordado por lo que hoy es llamado el Conjunto de Julia o el Set de Julia. Cuando sólo tenía 25 años publicó su obra maestra de 199 páginas, titulada "Mémoire sur l'iteration des fonctions rationelles" que lo hace famoso en todo el ámbito matemático. En la Primera Guerra Mundial, Julia toma parte, siendo seriamente dañado en un ataque en el frente Francés. Muchos otros resultaron heridos y muertos. Julia pierde su nariz, viéndose obligado a usar una capucha negra que le cubriría la cara por el resto de su vida. Durante muchas operaciones al rostro, el llevó a cabo sus estudios matemáticos en los diferentes hospitales en que le tocó estar. Después se convirtió en un destacado profesor en el École Polytechnique de Paris, desarrollando al máximo sus teorias, pese a que muchas de ellas fueron despreciadas por algunos matemáticos considerados importantes en esos tiempos. En 1918 Julia publicó un hermoso libro, "Mémoire sur l'itération des fonctions rationnelles, Journal de Math. Pure et Appl. 8" (1918), concerniente a la iteración de una función racional f. Sus descubrimientos le valieron ganar el "Grand Prix de l'Académie des Sciences".

49. Gaston Julia: Fractal Forefather February 3 marks the birthday of gaston julia, the French fractal mathematicianwho devised the formula for the julia set. gaston julia Fractal Forefather. http://graphicssoft.about.com/b/a/062561.htm

zJs=10 zJs=11 zJs=12 zJs=13 zc(5,'jsc',zJs,9999999,'') About Graphics Software Home Essentials ... Free Photoshop Class zau(256,152,180,'gob','http://z.about.com/5/ad/go.htm?gs='+gs,''); Get Help Now Learn About Graphics Find the Right Software Guide Reviews ... Help zau(256,138,125,'el','http://z.about.com/0/ip/417/0.htm','');w(xb+xb); Stay Current Subscribe to the About Graphics Software newsletter. Search Graphics Software Gaston Julia: Fractal Forefather Graphics Software Blog Main February 03, 2004 Gaston Julia: Fractal Forefather February 3 marks the birthday of Gaston Julia , the French fractal mathematician who devised the formula for the Julia set Gaston Maurice Julia (1893-1978) On this site: Fractal Art Generators and Information Email a Friend Display Latest Headlines Read Archives Most Popular Adobe Photoshop Basics - A Free Online Class - Course Outlin... Free Photo Editors for Windows - Top Picks Adobe Photoshop Basics Free Graphics Goodies From Your Guide to Graphics Software ... Free Grayscale Masks for Decorative Photo Frames and Edges What's Hot Remove Red Eye in Corel Photo-Paint Free Layer Styles for Adobe Photoshop and Photoshop Elements...

50. Carte Du Ciel Et Planètes Pour Gaston Maurice JULIA Translate this page célébrités, Carte du ciel et positions planétaires de gaston MauriceJULIA, né le 3 février 1893 à 02h51 à Sidi Bel Abbes (Algérie). http://www.astrotheme.fr/portraits/Hb8Ffzx3zRk7.htm

L'Astrologie NEWS ** Webmasters / Services *** Marque Blanche *** ... Espace Membres Identifiant Mot de passe Mot de passe perdu ? Astrologie : thème astral des célébrités Carte du ciel et positions planétaires de Gaston Maurice JULIA, né le 3 février 1893 à 02h51 à Sidi Bel Abbes (Algérie) Verseau 14°33 AS Sagittaire 11°00 Positions des planètes Soleil Verseau Lune Vierge Mercure Verseau Vénus Capricorne Mars Bélier Jupiter Bélier Saturne Balance Uranus Scorpion Neptune Gémeaux Pluton Gémeaux Chiron Vierge Cérès Taureau Pallas Bélier Junon Lion Vesta Taureau Noeud Nord Taureau Lilith Scorpion Fortune Taureau AS Sagittaire MC Vierge Positions des maisons Maison 1 Sagittaire Maison 2 Capricorne Maison 3 Verseau Maison 4 Poissons Maison 5 Bélier Maison 6 Taureau Maison 7 Gémeaux Maison 8 Cancer Maison 9 Lion Maison 10 Vierge Maison 11 Balance Maison 12 Scorpion Liste des aspects Neptune Conjonction Pluton Orbe Mars Conjonction Jupiter Orbe Soleil Conjonction Mercure Orbe Neptune Opposition AS Orbe Pluton Opposition AS Orbe Jupiter Opposition Saturne Orbe Lune Carré AS Orbe Lune Carré Neptune Orbe Vénus Carré Mars Orbe Lune Carré Pluton Orbe Vénus Carré Jupiter Orbe Soleil Carré Uranus Orbe Mercure Carré Uranus Orbe Soleil Trigone Saturne Orbe Mercure Trigone Pluton Orbe Vénus Trigone MC Orbe Mercure Trigone Neptune Orbe Saturne Trigone Neptune Orbe Saturne Trigone Pluton Orbe Soleil Trigone Neptune Orbe Soleil Trigone Pluton Orbe Mercure Trigone Saturne Orbe Lune Sextile Uranus Orbe Saturne Sextile AS Orbe Soleil Sextile AS Orbe Soleil Sextile Jupiter Orbe Mars Quinconce MC Orbe Uranus Quinconce Neptune Orbe Uranus SemiCarré MC Orbe Mars SemiCarré Neptune Orbe Mars SemiCarré Pluton

51. Gaston Julia - Encyclopedia Article About Gaston Julia. Free Access, No Registra julia encyclopedia article about julia. Free access, no The doctor was played by Lloyd Nolan, . Click the link for more information.julia, gaston (mathematician who researched fractals) http://encyclopedia.thefreedictionary.com/Gaston Julia

Dictionaries: General Computing Medical Legal Encyclopedia Gaston Julia Word: Word Starts with Ends with Definition Gaston Maurice Julia February 3 February 3 is the 34th day of the year in the Gregorian Calendar. There are 331 days remaining, (332 in leap years). Events 1488 - Bartholomeu Diaz of Portugal lands in Mossel Bay after rounding the Cape of Good Hope at the tip of Africa, becoming the first known European to travel this far south. 1783 - American Revolutionary War: Spain recognizes United States independence. Click the link for more information. Centuries: 18th century - 19th century - 20th century Decades: 1840s 1850s 1860s 1870s 1880s - Years: 1888 1889 1890 1891 1892 - Events January 1 - Japan accepts the Gregorian calendar January 13 - The Independent Labor Party of the UK has its first meeting. January 17 - American sugar planters overthrow the government of Queen Liliuokalani of Hawaii Click the link for more information. March 19 March 19 is the 78th day of the year in the Gregorian calendar (79th in leap years). There are 287 days remaining. Events 1279 - Mongolian victory in the Battle of Yamen ends the Song Dynasty in China.

52. Gaston Julia gaston julia avait 25 ans. Cette http://www.memopnha.com/julia01.html

Gaston Julia www.m emopn ha.com ensembles de Julia ensembles de Julia Gaston Julia avait 25 ans Qui est donc Gaston Julia son fils Marc du jeune Gaston, Une jeunesse en Oranie le jeune Gaston Gardez-moi un seul mois ! Et, en un mois, sans d'autre professeur que son livre et ses petits camarades Gaston Julia Gaston Julia Gaston Julia Gaston Julia Gaston Julia le soldat Julia e Gaston Julia M. Gaston Julia son fils Marc L'homme, sa famille, l'attachement a la terre natale M. Gaston Julia Mlle Marianne Chausson, Son fils Marc Marc Julia Les ensembles de Julia Gaston Julia Julia. les ensembles de Julia. Christian Mira Vers Acce_dos Vers piedsnoirs-aujourdhui (c) jpm-Martin

53. Gaston Julia Translate this page gaston julia, gaston Maurice julia ( 3 de febrero de 1893, Sidi BelAbes, Argelia - 19 de marzo de 1978, París) matemático francés. http://www.guajara.com/wiki/es/wikipedia/g/ga/gaston_julia.html

Gaston Julia Gaston Maurice Julia 3 de febrero de , Sidi Bel Abes, Argelia 19 de marzo de París matemático francés Gustave Julia fue un precursor en lo que hoy se llama las fractales . Fue el primero en estudiar el tema, y explicar como, a partir de cualquier función compleja se puede fabricar por medio de una sucesión definida por inducción , un conjunto cuya frontera es imposible dibujar a pulso (por ser de longitud infinita, entre otras propiedades). Su notoriedad culminó al ser publicado su artículo informe sobre la iteración de las funciones racionales Mémoire sur l'itération des fonctions rationnelles ) en la famosa revista francesa de matemáticas Journal de Mathématiques Pures et Appliquées . Este artículo de 199 páginas le permitió ser galardonado por la academia de ciencias de Francia. Sin embargo, en vida suya no conoció la fama que merecía. En efecto, murió antes que se volvieran muy populares las fractales, a inicios de los años ochenta. Este interés tardío, que sigue vivo hoy, fue debido al segundo padre de las fractales, el matemático también francés Benoit Mandelbrot , quién tuvo una ventaja enorme sobre Maurice Julia: pudo aprovecharse de la invención del ordenador. Todas las propiedades de las fractales que estableció Julia a fuerza de cálculos y deducciones, con papel y lápiz, las podía observar en su pantalla Mandelbrot y los millones de posesores de ordenadores personales con modo gráfico. A finales de los ochenta los artistas se interesaron en el

54. So Wh@t ?: Gaston Julia・・・？ The summary for this Japanese page contains characters that cannot be correctly displayed in this language/character set. http://mint.jam.tc/mtbook/mt/archives/000088.html

ENTRIES ■AppleのCelebrity Playlistsについて ■a-Blog 1.0b3ãŒå ¬é–‹ â– å ƒN.Y.GのQBケリー・コリンズ、レイダーズと4年契約 ■『マランツ、216MHz/14bitビデオDAC搭載のユニバーサルプレーヤー』 ... ■Mac OS Xの脆弱性は未解決？ Category Contents ABOUT APPLE BOOK CM ... ZAKKA ARCHIVES May 2004 (157) April 2004 (142) March 2004 (186) February 2004 (226) ... Syndicate this site (XML) This weblog is licensed under a Creative Commons License Powered by Movable Type 2.65 Main February 04, 2004 Gaston Julia・・・？ 昨日からのGoogleのロゴ↓ Gaston Juliaさんという人は、ジュリア集合ってのを発見（？）した人だそうです。で2/3が誕生日（1893å¹´2月3日～1978å¹´3月23日）のようです。 う～ん、Googleで でもGoogleとGaston Juliaさんまたはジュリア集合との関連性って何なんだろう？ TrackBack Comments Post a comment Name: Email Address: URL: Remember personal info? Yes No Comments:

55. Frattali - Biografie Translate this page gaston julia (1893 - 1978), Nato a Sidi Bel Abbès, Algeria. Allagiovane età di 25 anni pubblicò il suo capolavoro Mémoire sur http://www.miorelli.net/frattali/bios.html

Liceo Scientifico Statale Paolo Frisi Introduzione Matematica dei frattali ... Bibliografia e links Biografie Benoit B. Mandelbrot (1924 - ) Nato a Varsavia nel 1924, ha studiato alla Ecole Polytechnique di Parigi, al California Institute of Technology e all'università di Parigi, dove si è laureato in matematica nel '52. E' poi diventato professore di matematica applicata all'università di Harvard, professore di scienze matematiche all'università di Yale e ricercatore all' IBM T.J. Watson Research Center. Nel 1982 pubblica The Fractal Geometry Of Nature , l'opera fondamentale e fondatrice della geometria frattale. Gaston Julia (1893 - 1978) Nato a Sidi Bel Abbès, Algeria. Alla giovane età di 25 anni pubblicò il suo capolavoro Mémoire sur l'iteration des fonctions rationelles che lo rese famoso e per il quale ricevette il Grand Prix de l'Academie des Sciences Ferito durante la prima guerra mondiale, Julia perse il naso. Più avanti diventò professore alla Ecole Polytechnique a Parigi.

56. The Julia Sets The julia Sets. gaston julia had sets too There is only one Mandelbrot setand every number in the complex plane is either in or out of the set. http://mcasco.com/jset.html

The Julia Sets Gaston Julia had sets too... There is only one Mandelbrot set and every number in the complex plane is either in or out of the set. Associated with every point in the complex plane is a set somewhat similar to the Mandelbrot set called a "Julia" set after the mathematician Gaston Julia. In developing the Mandelbrot set we examined points in the complex plane to see if z Julia Set 1 - Near the Real Axis Julia Set 2 - Near the Origin If we examine points in the complex plane to see if z +k diverges, where k is a fixed complex number, we get the Julia set associated with the point k. Instead of changing the constant in the function as we move from pixel to pixel, we hold the value of k fixed as we scan the screen. Julia sets and the Mandelbrot set are close relatives. The Julia set boundary will be illuminated by the escape time algorithm as was the case for the Mandelbrot set. Julia sets take several different forms depending on the location in the plane of the fixed point k. The set boundaries illustrated on this page amount to a guided tour of some of the possibilities. The first five images show an entire Julia set boundary. Note the coordinates of the fixed point in the label above the drawing area. Each Julia set is contained in the same region of the complex plane as is the Mandelbrot set. In fact the Mandelbrot set has been called a catalog of the Julia sets. Many similar structures are seen in both sets. The boundaries of either might be considered the ultimate fractal object.

57. Rodent Regatta: Gaston Maurice Julia gaston Maurice julia. gaston julia. 0514 AM THINKING TrackBack (0). Comments.Post a comment. Name Email Address URL Comments Remember info? http://www.rodentregatta.com/archives/005664.php

Main February 03, 2004 Gaston Maurice Julia 05:14 AM THINKING TrackBack (0) Comments Post a comment Name: Email Address: URL: Comments: Remember info?

58. Halfway Down The Danube: Gaston Julia February 03, 2004. gaston julia. Today is the 111th birthday of gaston julia,the great mathematician and creator of the famous julia fractals. http://www.bookcase.com/~claudia/mt/archives/000203.html

Halfway down the Danube Main February 03, 2004 Gaston Julia Today is the 111th birthday of Gaston Julia, the great mathematician and creator of the famous Julia fractals. Google is celebrating this with a neat little decoration on their logo. Why is this worth mentioning? Well, I remember my brother writing his High School graduation paper in physics on the iteration of a rational function f in 1987. Back then, the whole craze about what in German we called "Apfelmännchen" apple manikins was just about to start. My brother told me that I could impress anybody by calling them "Julia fractals" or "Mandelbrot fractals" instead, Mandelbrot being the mathematician who re-discovered Julia's work and put the function into a computer in the 1970s. I also remember him calculating fractals on his Commodore-64 computer, then printing them out on the needle printer at school. Boy, those calculations took days ! How things have changed in over 15 years. Today, you can download the pictures from the internet in seconds. Courtesy of www.nd.edu/~jmoody/fract/

59. Gaston Julia :: Online Encyclopedia :: Information Genius gaston julia. Online Encyclopedia. gaston Maurice julia (18931978) was a Frenchfractal mathematician who devised the formula for the julia set. http://www.informationgenius.com/encyclopedia/g/ga/gaston_julia.html

Quantum Physics Pampered Chef Paintball Guns Cell Phone Reviews ... Science Articles Gaston Julia Online Encyclopedia Gaston Maurice Julia ) was a French fractal mathematician who devised the formula for the Julia set . His works were popularised by French mathematician Benoit Mandelbrot , and the Julia and Mandelbrot fractals are closely related. Julia was born in February 3 in the Algerian town of Sidi Bel Abbès, at the time under French rule. In his youth, he had an interest in mathematics and music. His studies were interrupted at the age of 20, when France got involved in World War I and he was called to serve in the army. In one operation on a stormy, cold night he had suffered a severe injury and thus lost his nose. After many unsuccessful operations to remedy the situation, he was forced to wear a leather strap around the area where his nose was for the rest of his life. His presence became more known after the war after a 199-page article he wrote was featured in the , a French mathematics journal. The article, titled " Mémoire sur l'itération des fonctions rationnelles " described the iteration of a rational function. The article gained immense popularity among mathematicians and the general population as a whole, and so led to Julia's later receiving of the Grand Prix de l'Académie des Sciences. Despite of his fame, his works were all forgotten until the day Benoit Mandelbrot mentioned them in his works, after which they found fame again, although not as much.

60. Bookofjoe: Gaston Julia February 04, 2004. gaston julia. 00julia_5. He s the 433899. Listed beloware links to weblogs that reference gaston julia Comments. Actually http://www.bookofjoe.com/bookofjoe/2004/02/gaston_julia.html

hostName = '.bookofjoe.com'; Search bookofjoe: bookofjoe Home February 04, 2004 Gaston Julia He's the answer to bookofjoe's question of yesterday re: why Google's home page featured a fractal-laden logo. This Algerian-French mathematician was born on February 3, 1893 (101 years ago yesterday) in Sidi Bel Abbes, Algeria. He was only 25 when, in 1918, he published his monumental "Memoire sur L'iteration des Fonctions Rationelles," which instantly made him world-famous in the mathematics centers of his day. As a soldier in World War I, Julia had been severely wounded in an attack on the French front designed to celebrate the Kaiser's birthday. He lost his nose, and had to wear a leather strap across his face for the rest of his life. Although he was world-famous in the 1920s, his work was essentially forgotten until Benoit Mandelbrot, of the Mandelbrot set and fractal fame, brought it back to prominence in the 1970s. A big kiss to LEC up in chilly, icy Wisconsin for giving me the answer to my question. It occurs to me that there are a lot of smart people reading this: I mean, it's a given, isn't it? If you're here, then - by definition - you're smart, hot, and beautiful. My job - you pay me a LOT to do it, and believe me, I'm so grateful for your love - is to help you realize this about yourself. I'm dedicated to showing you how wonderful you really are.

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z

Page 3     41-60 of 101    Back | 1  | 2  | 3  | 4  | 5  | 6  | Next 20