Geometry.Net - Scientists: Julia Gaston

LES FRACTALES - HISTORIQUE
Translate this page 1918. Parution de julia, gaston Maurice, Mémoire sur l'itération des fonctionsrationnelles, Journal de Mathématique Pure et Appliquée 8, 1918, 9.47-245.
http://poynting.phy.ulaval.ca/phy/etudiant/dmartin/fractal/historique.html

Extractions: Évolution de la géométrie fractale Section précédante menu Section suivante Afin de mesurer efficacement la place qu'occupent les fractales au sein de l'exploration scientifique il est important de dresser l'histoire de l'évolution de ce concept. Comme mentionné précédemment, le terme fractale fut inventé seulement en 1975, avant cette date, des réalités fractales étaient observables. Euclide développe le principe de dimension entière de l'espace. Un volume occupe 3 dimensions, une surface occupe 2 dimensions, une ligne occupe 1 dimension et un point en occupe 0. Apparition de la première image fractale. Elle fut développée par Albretch Dürer, graveur de la Renaissance. Cette image est constituée d'un pentagone plus gros dans le lequel on trace 5 pentagones autour d'un pentagone central de même dimension. En répétant cette opération à l'infini on obtient la figure ci-contre. Si l'on pose S comme la longueur des côtés d'un des pentagone et s comme la longueur des côtés des cinq pentagones qui y sont inscrits, on peut écrire le rapport s/S de la façon suivante: s / S = [ 2 + 2cos72° ] FIGURE : Le pentagone de Dürer
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Translate this page gaston Maurice julia. GM julia (1893-1978) fu un matematico francese.Combatté nella I guerra mondiale e venne gravemente ferito
http://alpha01.dm.unito.it/personalpages/cerruti/Az1/julia.html

Extractions: Gaston Maurice Julia G. M. Julia (1893-1978) fu un matematico francese. Combatté nella I guerra mondiale e venne gravemente ferito in un attacco mentre si trovava al fronte, subendo l'asportazione totale del naso. Passò quindi il resto della sua vita con una benda nera in mezzo al volto. Tra un'operazione e l'altra continuò le sue ricerche in ospedale. In seguito diventò professore all'Ecole Politechnyque di Parigi. Nel 1918 pubblicò una fondamentale memoria dal titolo "Mémoire sur l'itération des fonctions rationnelles", sull'iterazione di una funzione razionale. In questo lavoro Julia descrisse l'insieme J(f) (ora chiamato insieme di Julia) formato da quei punti complessi z nei quali iterare f non porta all'infinito. Sebbene negli anni '20 egli fosse famoso il suo lavoro fu sostanzialmente dimenticato fino ai lavori del '70 di Mandelbrot
P7
Translate this page Père Boulmant, gaston Léon Jules. Mère Staebler, julia. Famille1 Megoeul, Henriette Marthe. Mariage Sam 12 juillet 1924
http://www.ewac.be/magera/Fiches/D2/P8.htm
Absolute Certainty?
The mathematics underlying the set had been invented more than 70 years ago bytwo Frenchmen, gaston julia and Pierre Fatou, but computers laid bare their
http://www.fortunecity.com/emachines/e11/86/certain.html

Extractions: "VIDEO PROOF" [See Video N25] dramatizes a theorem, proved by William P. Thurston of the Mathematical Sciences Research Institute (left), that establishes a profound connection between topology and geometry. The theorem shows how the space surrounding a complex knot (represented by the lattice in this scene) yields a "hyperbolic" geometry, in which parallel lines diverge and the sides of pentagons form right angles.The computer- generated video, called Not Knot, was produced at the Geometry Center in Minnesota. Computers are transforming the way mathematicians discover,prove and communicate ideas,but is there a place for absolute certainty in this brave new world? Legend has it that when Pythagoras and his followers discovered the theorem that bears his name in the sixth century B.C., they slaughtered an ox and feasted in celebration. And well they might. The relation they found between the sides of a right triangle held true not sometimes or most of the time but always-regardless of whether the triangle was a piece of silk or a plot of land or marks on papyrus. It seemed like magic , a gift from the gods. No wonder so many thinkers
Fractals,reflections And Distortions
They are called julia sets, after the French mathematician gaston julia who,together with his contemporary Pierre Fatou, first studied them in 1918.
http://www.fortunecity.com/emachines/e11/86/reflect.html

Extractions: Most people have become familiar in recent years with pictures of fractals - those elusive shapes that, no matter how you magnify them, still look infinitely crinkled. The pictures you saw were probably drawn by computer, but examples abound in nature - the edge of a leaf, the outline of a tree, or the course of a river. Fractal curves differ from those studied in normal geometry. The curve of a circle, for instance, if magnified sufficiently, just about - becomes a straight line. A fractal curve, on the other hand, when viewed on many different scales, from macroscopic to microscopic, reveals the same intricate pattern of convolutions. How do you construct a fractal curve? A simple example is the famous Koch snowflake, invented by Helge von Koch in 1904. It is an example of a "nowhere smooth" curve. To draw the snowflake, start with the triangle shown in Figure la. Then replace each of the sides of this triangle by a bent line as shown in Figure 1b. At the next stage, Figure 1c, each of these sides in turn is replaced by the same pattern but on a smaller scale, and so on, ad infinitum, to obtain finally the snowflake shown in Figure 1d.
600000 People Connected With European Royalty
Robert Warren gaston julia Leonard Husband Robert Warren gaston (detailssuppressed for this living person) Born Christened Died Buried
http://www.e-familytree.net/f3927.htm

Extractions: Sign my guestbook or Send me an email It costs me $50.00 (US) a month to host e-familytree.net. It currently gets 3000 unique visitors a day. If only 10% of the people (300) donated .05 of their local currency each, I'd almost cover my costs. So if you can, please donate a bit to keep this place going! Thanks for your help! Rob Salzman
Centennial History Of Oregon By Gaston - The Discovery Of Gold, Pg. Two
Nine men, packers, came down on the julia with from $50,000 to $60,000in hand, the result of their summer's work in the mines.
http://gesswhoto.com/centennial-gold-page2.html

Extractions: October 28th, 1861: On the 13th inst. as Crayton, Bledsoe, D.C. Coleman, and others seven in all, had reached about eight miles on the Salmon River trail, beyond the Cold Springs, they were stopped by Eagle of the Light with a party of about 60 men, 40 of whom were Snake Indians and the balance Nez Perces. Eagle of the Light positively forbid them to cross his country, and threatened death if they persisted, and declared that he was going to drive all the whites out of his country. Crayton who spoke Nez Perces somewhat argued with him for an hour, but to no purpose. The Indian's determination was fixed. Whereupon the party returned a short distance and camped to wait for the miners to come up so that their force would be strong enough to push their way through. Since that time I have not heard that the party has moved.
Centennial History Of Oregon By Gaston - The Discovery Of Gold
From The Centennial History of Oregon Vol. I by Joseph gaston A PLACECALLED OREGON the mines. The julia on Monday was crowded. We learn
http://gesswhoto.com/centennial-gold.html

Extractions: "Know all men by these Presents: That we, the miners of Waldo and Althouse in Oregon Territory, being in convention assembled for the purpose of making rules to regulate our rights as miners, do hereby on the first day of April, 1852, ordain and adopt the following rules and regulations to govern this camp. Following the discoveries of gold in Jackson and Josephine Counties came the discovery of the gold dust in the sea beach sands in Coos and Curry Counties. In 1853 there were more than a thousand men washing gold out of the black sand along the sea shore south of Coos Bay. This gold is supposed to have been washed down into the ocean by the coast rivers; and every big storm carried back in a fresh lot of gold dust within the reach of the miner who has patience enough to work the sands over often enough to get the gold dust out of them.
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julia, gaston. COURS DE CINEMATIQUE Paris 1936 2ndGauthier Villars. julia, gaston.ELEMENTS DE GEOMETRIE INFINITESIMALE pARIS 1936-2nd Gauthier Villars.
http://xerxesbooks.com/cats/math433.mv
Stephen Wolfram: A New Kind Of Science -- Index J
1195 Judgement as crucial in modelling, 365 in social sciences, 9 Julesz, Bela (Hungary/USA,1928 ) and texture perception, 1076 julia, gaston M. (France, 1893
http://www.wolframscience.com/nks/index/j.html
L'Heureux Family Genealogy Database - I110890: Joseph Zéphirin BARIL (1847 - )
Translate this page _Luke DEMO _ _Michel TAILLON _Marie-Reine TAILLON_ _Marie-Clémence BOUDRIAULT _ julia Ann DEMO gaston NOLET.
http://homepages.rootsweb.com/~lheureux/lh1/d0073/g0000013.html

Extractions: Family 1 Olivier LAMBERT Nasaire Olivier LAMBERT Marie LAMBERT Édouard Éleusippe LAMBERT François Élisee LAMBERT ... Louis Honoré LAMBERT Family 2 Onésime ST-PIERRE Joseph Onésime ST-PIERRE Marie-Odilie ST-PIERRE Marie Balzamie ST-PIERRE Pierre Onésime ST-PIERRE ... L'Heureux Genealogy Home Page
Movies For "Phillipe Gaston" Types
Guide Picks. The movies below should appeal to people who scored a Phillipe gaston on the SciFi/Fantasy Personality Preferences Test. julia Houston.
http://scifi.about.com/cs/scifimoviesaz/tp/mpphillipe.htm

Extractions: Top 9 Movies for "Phillipe Gaston" Types Guide Picks The movies below should appeal to people who scored a "Phillipe Gaston" on the Sci-Fi/Fantasy Personality & Preferences Test. Don't know what I'm talking about? Click on the front page of Sci-Fi/Fantasy and take the test! Star Wars (1977) A blend of western, fantasy and sci-fi conventions, with a great story, instantly likeable characters, and an incredible adventure in a galaxy far, far away: the energy and imagination of this epic are fresher than ever a quarter-century later. You can only get the original version used or from a collector, but it's better than the PC-fied "special edition." Some pretty good sequels, too. A bit gory and intense for very little ones. Told with humor, CGI wizardry and top-notch acting, the classic Spider-Man story has been updated with a "genetically engineered" spider and a nod to professional wrestling, but it's still the same old story of boy meets girl, boy becomes arachnid, boy gets girl (sort of). The ending sets up the inevitable sequels. Jaded, but action-packed.
I289347: Laura Selena ( - )
97) on Fri Jan 03 192719 2003. julia BELL. BIRTH 28 AUG 1881, ,gaston,NorthCarolina; DEATH 8 JUN 1957, ,gaston,North Carolina;
http://midatlantic.rootsweb.com/database/d0022/g0000032.htm
I275161: Antes ACHENBACH (1834 - Aft 1910)
193002 2003. julia Little MCALISTER. BIRTH 8 NOV 1888, ,gaston,NorthCarolina; DEATH 15 DEC 1981, Dallas,gaston,North Carolina;
http://midatlantic.rootsweb.com/database/d0065/g0000066.htm
Julia Sets
details. julia sets are named after gaston julia, the French mathematicianwho discovered them and first explored their properties. He
http://www.mcgoodwin.net/julia/juliajewels.html

Extractions: (click on any thumbnail image to view full size) Introduction This presentation was prepared as the final assignment for the course Math 497 at the University of Washington, taught by James R. King, Ph.D. This course dealt with selected topics in the behavior of complex numbers and functions. I was prompted to take this course (noncredit) by my long-standing though latent interest in the well-known fractal objects that are defined in complex planes, the Julia and Mandelbrot Sets, and am grateful to Professor King for offering it as an extension course. Along with the Feigenbaum (logistic) bifurcation diagram and the Hénon Lorenz , and Rössler attractors, these fractal sets have come to epitomize the world of strange (i.e., fractal) attractors, and have captured the fancy and imagination of mathematicians and lay persons alike. It was my preference to attempt to survey the properties of Julia sets as broadly as possible rather than to focus solely on one or two subtopics (as might be more appropriate for the actual assignment), and this broad approach inevitably must result in some degree of superficiality. However, I have tried to avoid presenting a mere album of pretty images, and have tried to keep the discussion mainly at the mathematical level. Since the underlying mathematics is often abstruse and beyond my expertise, I have found it necessary to report some of the known properties of Julia sets without offering proof or further details.
Colégio São Luís - CERTEZA DE FUTURO - SEMANA CULTURAL 2002 - REV
Translate this page não apenas como um fascinante fractal, mas um infinito catálogo de uma classerelacionada de fractais conhecidos como conjuntos de julia (gaston julia).
http://www.saoluis.org/sem_cult_fractais.htm
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

Extractions: 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. 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.
The Julia Set's
The julia set's. The creator of the julia set, gaston julia is consideredone of the forefathers of modern dynamical systems theory.
http://www.bath.ac.uk/~ma0lap/Julia.HTML
Fiches Individuelles
Translate this page X. CAILLE julia Désirée. CAILLE Désiré Fernand. BOUCHEZ julia Ludivine.CAILLE Philippe, gaston, Henri. Père CAILLE Jean, Achille, Eugène, gaston.
http://perso.club-internet.fr/cailled/fic21.html
UK NONLINEAR NEWS (August 2001): Journal News
English translation of Memoire sur les iteration des fonction rationelles by gaston julia. Recently I translated into English the
http://www.amsta.leeds.ac.uk/Applied/news.dir/issue25.dir/jour/jour.html

Extractions: UK Nonlinear News August 2001 A New Solution to the Three-Body Problem Somewhere in the universe do three suns chase each other in a figure-eight pattern? This article explains a recent proof of the mathematical existence of such an orbit. R. Montgomery. A New Solution to the Three-Body Problem. Notices of the American Mathematical Society , Volume , Number 5, 471-481, May 2001. English translation of "Memoire sur les iteration des fonction rationelles" by Gaston Julia Recently I translated into English the most famous article by Gaston Julia. "Memoire sur les iteration des fonction rationelles". I did it, firstly, because I deal with English better than French and I thought that I would better understand the article if it were in English. While translating, I thought most people have better English than French (... except in France and in former French colonies...) and that it could be very useful to anyone else studying iteration in complex domains. So I decided to share it, since it's hard to find the original.

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