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	Gaston Julia
		This French character was born February the 3rd, 1893 in Sidi Bel Abbès, Algeria, then a northern African land under the dominion of France.
		In that said article, Julia precisely described the set J(f) of those z in C for which the nth iterate fn(z) stays bounded as n tends to infinity.
		Gaston Maurice Julia died in Paris the 19th day of March 1978 at the age of 85.
	www.fractovia.org /art/people/julia.html (469 words)

	Gaston Julia - Wikipedia, the free encyclopedia
		Gaston Maurice Julia (February 3, 1893 – March 19, 1978) was a French mathematician who devised the formula for the Julia set.
		Julia was born in the Algerian town of Sidi Bel Abbes, at the time under French rule.
		Julia died in Paris at the age of 85.
	en.wikipedia.org /wiki/Gaston_Julia (303 words)

	Gaston Julia
		Gaston Maurice Julia (1893-1978) was a French fractal mathematician who devised the forumla for the Julia set.
		His works were popularised by Polish mathematician Benoit Mandelbrot, and the Julia and Mandelbrot fractals are closely related.
		Julia was born in 3 February 1893 in the Algerian town of Sidi Bel Abbès, at the time under French rule.
	www.ebroadcast.com.au /lookup/encyclopedia/ga/Gaston_Julia.html (251 words)

	Qwika - similar:Julia
		Julia) is the nomen of the gens Julia, an important patrician family of ancient Rome supposed to have descended from Julus.
		Julia Caesaris Julia Caesaris is the name of all women in the Julii Caesares patrician family (to which, for instance Julius Caesar and Caesar Augustus belonged), since feminine names were their father's gens and cognomen declined in the female form.
		Julia Domna Julia Domna (about 170-217), like her sister Julia Maesa, was a daughter of Julius Bassianus, priest of the sun god Heliogabalus, the patron god of Emesa in the Roman province of Syria.
	www.qwika.com /rels/Julia (1588 words)

	Julia set - ExampleProblems.com
		Since (in general) the Julia set is the boundary between basins of attraction, the Julia set is sometimes described as being a repeller because all orbits tend away from it.
		Julia sets typically (though not always) have a fractal structure, and Julia sets can be associated with fractals such as the Sierpinski triangle and the Cantor set.
		A Julia set which has a fractal structure is a strange attractor for the reversed mapping.
	www.exampleproblems.com /wiki/index.php/Julia_set (1496 words)

	Julia set
		Julia sets, described by Gaston Julia, are fractal shapes defined on the complex number plane.
		Julia sets are closely related to the Mandelbrot set which is the set of all values of c for which z=0+0i does not tend to infinity through application of the recursion.
		At c=1/4, the cusp at the set's mouth, the Julia set outline is a closed curve with cusps all around.
	www.ebroadcast.com.au /lookup/encyclopedia/ju/Julia_Sets.html (286 words)

	Julia Sets
		Julia sets are named after Gaston Julia, the French mathematician who discovered them and first explored their properties.
		Topologically, connected Julia sets are either equivalent to a severely deformed circle or to a curve with an infinite series of branches and sub-branches called a dendrite (e.g., the Julia set for c=0+i)" (Elert 22.shtml).
		The theoretical computation of the fractal dimension of a Julia set is apparently not a straightforward calculation and of course dependent on the dimension metric utilized and the parameter c.
	www.mcgoodwin.net /julia/juliajewels.html (4935 words)

	The Fractory: Julia Sets (Site not responding. Last check: 2007-10-23)
		Gaston Maurice Julia (1892-1978) was a French mathematician.
		Julia sets are mathematical objects derived by repeated iterations of polynomial equations.
		Gaston Julia established the idea that the entire boundary (the Julia set) could be regenerated from an exceedingly small piece of the boundary.
	library.advanced.org /3288/julia.html (159 words)

	The Julia set's (Site not responding. Last check: 2007-10-23)
		Gaston Maurice Julia was born on 3rd February 1893 in Sidi Bel Abbes, Algeria.
		Julia became very famous in the 1920's, but his work was soon forgotten and it wasn't until Mandlebrot came back to it in the 1970's through his computer experiments that it gained it's fame again.
		A particular Julia set is defined by a particular value for C. Then each point in the Argand plane is taken as a starting point, Z0 of the iteration.
	www.bath.ac.uk /~ma0lap/Julia.HTML (386 words)

	Gaston Julia - Wikipedia, la enciclopedia libre
		Gaston Maurice Julia (3 de febrero de 1893, Sidi Bel Abes, Argelia - 19 de marzo de 1978, París, Francia) fue un matemático francés.
		Julia fue un precursor en lo que hoy se conoce como fractales.
		Tampoco tuvo mucha suerte Gaston Julia en su vida privada, pues tuvo que interrumpir sus prometedores estudios a los 20 años a causa de la Primera Guerra Mundial, donde perdió su nariz.
	es.wikipedia.org /wiki/Gaston_Julia (377 words)

	Gaston Julia (Site not responding. Last check: 2007-10-23)
		Photograph of Gaston Julia Gaston Maurice Julia (February 3, 1893 – March 19, 1978) was a French 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, Gaston Julia, Gaston Julia, Gaston bg:&1043;&1072;&1089;&1090;&1086;&1085; &1046;&1102;&1083;&1080;&1072; de:Gaston Maurice Julia es:Gaston Julia fr:Gaston Julia it:Gaston Julia ja:&12460;&12473;&12488;&12531;&12539;&12472;&12517;&12522;&12450; sl:Gaston Maurice Julia sv:Gaston Maurice Julia
	gaston-julia.iqnaut.net (305 words)

	Gaston M. Julia
		Gaston M. Julia was born february 3 1893 at Sidi Abbès in Algeria.
		He begun his studies at the Ecole Polytechnique (Palaiseau/Paris) in 1944, where he was educated among others by Gaston Julia and Paul Lévi, the latter having much influenced him.
		It was 1945 that his uncle showed him the paper of Gaston Julia published 1918 and pretended this might be a source of interesting problems.
	www.fractalus.ch /biograf/bio_e.html (1054 words)

	The Julia Sets
		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.
		Next you may explore the Julia sets by marking points on the screen and using the Action button to generate the corresponding Julia set.
	www.mcasco.com /jset.html (528 words)

	FractSurf - Biographies of Benoit Mandelbrot and Gaston Maurice Julia
		Julia lost his nose and had to wear a pice of leather across his face for the rest of his life.
		Julia gave a precize description about the function J(f), in which z is a complex number, for which the n-th element of sequence f^n(z) stays equal, while n is growing to infinity.
		Allthough Julia was very well known in the 1920s, his studies were forgotten untill Benoit Mandelbrot found them again in 1970 during his fundamental computer experimentes.
	www.fractsurf.de /e_bios.html (1734 words)

	Fractals! (Site not responding. Last check: 2007-10-23)
		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.
		With the Mandlebrot set it is the complex number denoted as C in the equation that changes where as with the Julia sets, C is difrferent for each one.
		The Mandlebrot set actually catalogues all the Julia sets by showing which ones are connected or not; the Julia set associated with each point in the Mandlebrot set is actually connected.
	people.bath.ac.uk /ma0etd/fractals/julia.htm (1028 words)

	Julia and Mandelbrot Sets
		Gaston Julia studied the iteration of polynomials and rational functions in the early twentieth century.
		Some of these Julia sets will be connected, and some will be disconnected, and so this character of the Julia sets will partition the µ-parameter plane into two parts.
		The green figure is a Julia set with the parameter µ taken from the center of the circle on top of the cardioid.
	aleph0.clarku.edu /~djoyce/julia/julia.html (1505 words)

	Julia Sets
		The pioneering work of the French mathematician Gaston Julia, published in 1918 when Julia was 25 years old, was essentially forgotten by the mathematical world until the 1980's, when computers made possible the visualization of his creation.
		Julia's idea was to observe the behavior of the orbit of a complex number (see Vignette 6 and Vignette 10) under iteration of a function f.
		Julia was interested in the properties, for various functions, of the prisoner set and the escape set -- and also what is now called the Julia set for the function.
	www.jcu.edu /math/vignettes/Julia.htm (1164 words)

	FRACTINT Julia Sets (Site not responding. Last check: 2007-10-23)
		These sets were named for mathematician Gaston Julia, and can be generated by a simple change in the iteration process described for the Mandelbrot Set.
		In fact, all Julia sets for C within the M-set share the "connected" property of the M-set, and all those for C outside lack it.
		Historically, the Julia sets came first: it was while looking at the M- set as an "index" of all the Julia sets' origins that Mandelbrot noticed its properties.
	spanky.triumf.ca /www/fractint/julia_type.html (701 words)

	JULIA
		Julia was born on 3rd February 1893 in Sidi Bel Abbès, Algeria.
		Although he was famous in the 1920s, his work was essentially forgotten until Mandelbrot brought it back to prominence in the 1970s through his fundamental self-similarity and computer graphics experiments involving fractal geometry.
		Many on both sides were wounded including Julia who lost his nose and had to wear a leather strap across his face for the rest of his life.
	www.algana.co.uk /FamousNames/J/julia.htm (183 words)

	2D Julia Sets (Site not responding. Last check: 2007-10-23)
		A Julia set is the result of a 2 dimensional iteration over the complex plane.
		Gaston Julia first presented his paper, Memoire sur l'iteration des fonctions rationelles, in which he discussed the iteration of a rational function in the complex plane and described the structure of the set left when iterated to infinity.
		Gaston Julia died in 1978, in France and it is quite possible that he never saw his work presented in the quality and resolution that computers have made possible.
	spanky.triumf.ca /www/FRACTAL-INFO/2DJ.HTM (398 words)

	Gaston Maurice Julia (Site not responding. Last check: 2007-10-23)
		Gaston Julia was born February 3, 1893 in Sidi Abbes, Algeria.
		Soon after this award, Julia's fame was diminished, and his theories were more or less forgotten until Benoit Mandelbrot cited his work in the 1970's.
		Gaston Maurice Julia died March 19, 1978 in Paris France.
	www.glenridge.org /grhs/faculty/StuBurk/JBio.html (138 words)

	楚水weblog: Gaston Julia
		When only 25 when Gaston Julia published his 199 page masterpiece Mémoire sur l'iteration des fonctions rationelles which made him famous in the mathematics centres of his days.
		As a soldier in the First World War, Julia had been severely wounded in an attack on the French front designed to celebrate the Kaiser's birthday.
		Julia gave a precise description of the set J(f) of those z in C for which the nth iterate fn(z) stays bounded as n tends to infinity.
	www.trucy.net /blog/archives/aeeeuooc/000337.html (285 words)

	Julia Sets.
		Gaston Julia studied the convergence properties of sequences of numbers.
		Julia was interested in those values of x that produce sequences that remain finite.
		By generating a sequence of Julia Sets for values of the parameter c corresponding to closely spaced points on a closed path in the plane it is possible to create animations such as the one above.
	www.btinternet.com /~connectionsinspace/Randomness_and_Order/Julia_Sets_/body_julia_sets_.html (183 words)

	ChaosPro - Freeware fractal generator - Theory
		In order to calculate the Julia set one has to check whether the point is attracted by infinity, by a finite attractor, or by an attracting cyclus.
		Calculating the Julia set alone can be done very easy and quick by using the inverse iteration and starting with a point which is already known to be on the Julia set.
		The most interesting Julia sets are those which lie near the border of the Mandelbrot set.
	www.chaospro.de /julmand.php (1798 words)

	Gaston Julia - WikiLeasing.com (Site not responding. Last check: 2007-10-23)
		'Gaston Maurice Julia' (February 3, 1893 March 19, 1978) was a French mathematician who devised the formula for the Julia set.
		Julia gained attention for his mathematical work after the war when a 199-page article he wrote was featured in the ''Journal de Mathématiques Pures e Appliquées'', a French mathematics journal.
		Despite his fame, his works were all forgotten until the day Benoît Mandelbrot mentioned them in his works, after which he received some national attention.Julia died in Paris at the age of 85.
	www.wikileasing.com /3/Gaston_Julia.html (297 words)

	Gaston Julia - Cleverpedia, the ultimate encyclopedia (Site not responding. Last check: 2007-10-23)
		Julia put the bases for the modern research at dynamic systems with its essay Mémoire sur l'itération fonctions the rational (journal de Mathématiques pure et appliquées, 1918).
		Admits became it by the precise description of the July to tightness, whose research was taken up later by Benoît almond bread.
		Julia lost its nose with fights in the First World War and carried starting from then a leather belt in the face.
	cleverpedia.com /Gaston_Julia (154 words)

	Julia Sets (Site not responding. Last check: 2007-10-23)
		But for Julia sets each location in the complex plane becomes an initial value of z, and the same fixed value for c is used for an entire set.
		Most Julia sets are contained within the square centered at the origin and having sides 3 units long, so this is the region usually selected for examination.
		If c is contained inside one of the continental molecule's smaller atoms, the Julia set consists of an infinite number of fractal loops, each surrounding a different basin of attraction (Figures 2.9 and 2.10).
	home.comcast.net /~davebowser/fractals/julia.html (894 words)

	Gaston Maurice Julia (Site not responding. Last check: 2007-10-23)
		Monsieur Julia surely would have enjoyed the special fractal icing design that was done in his honor.
		Monsieur Julia truly was a remarkable man, and at his 111th birthday party it was apparent that he was special.
		Professor Julia, thank you for giving us all something to aspire to: a birthday party after we are dead.
	web.ics.purdue.edu /~jharmles/Julia2.html (115 words)

	[No title]
		The work of Gaston Julia and Pierre Fatou (1918) was the precursor to the work of Benoit Mandelbrot (1980's).
		The Julia Set is created by iterating the function f(x) = x^2 + c with c and z representing complex numbers and where c is fixed and the initial value of x is varied.
		That is, the Julia set is a picture in the dynamical plane, not the parameter plane.
	www.mccallie.org /myates/Fractal/juliamandelbrot.htm (553 words)

	Gaston Julia (Site not responding. Last check: 2007-10-23)
		One of the forefathers of modern dynamical systems theory, Gaston Julia is best known as the creator of the Julia Sets.
		Julia was quite famous, especially among mathematicians, in the 1920s for his "Mémoire sur l'itération des fonctions rationnelles", published in the Journal de Mathématiques Pures et Appliquées (1918).
		Gaston Julia had the unusual habit of wearing a patch to cover the center of his face.
	www.nndb.com /people/055/000108728 (129 words)

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