81. Fifty Five Decibels: Gaston Julia's Birthday February 03, 2004. gaston julia s birthday. it s because it s gaston julia sbirthday today It s actually a cool logo for Google so nerdy. http://www.robynandkirk.com/kirk/archives/000205.php

Fifty Five Decibels Seventeen thousand Certified Scienticians can't be wrong Main February 03, 2004 Gaston Julia's birthday It took me awhile to figure out why the Google logo had a bunch of fractals on it... it's because it's Gaston Julia's birthday today... It's actually a cool logo for Google... so nerdy Posted by kbschmid at February 3, 2004 02:07 PM Comments Who the hell is Gaston Julia, and what it this strange smell comeing from my pants? Posted by: Gabe at February 3, 2004 03:48 PM Post a comment Name: Email Address: URL: Remember personal info? Yes No Comments: Navigation Home Wedding Info Links Globe Investor Forbes Canadian Econ Assoc Astronomy Pictures ... Amazon Weblogs Anthony Bitz Donny Em ... Will April 2004 Sun Mon Tue Wed Thu Fri Sat Search Search this site: Archives April 2004 March 2004 February 2004 January 2004 ... April 2003 Recent Entries 10% Off 80 Days of Bachelorhood Stupid Customers Matt Osborne ... Syndicate this site (XML) Powered by Movable Type 2.661

82. Julia Set + gaston julia. Today, Google honored julia by dressing up theirlogo with sets of the same. Once clicked, the top two and three http://a.parsons.edu/~juliaset/index.php?comments=34

83. Julia Fractaal gaston julia (gaston Maurice julia, 1893 1978, Frankrijk) publiceerde in 1919zijn boek Mémoire sur l iteration des fonctions rationelles waarin hij het http://www.pandd.demon.nl/complex1/julia_fractaal.htm

Julia-fractaal Overzicht M-fractaal Complexe afbeeldingen Fractalen 0. Overzicht De functie f(x) = x + C Iteratief gedrag van x n+1 = x n + C Julia-set (-verzameling) Enkele kleurige voorbeelden 1. De functie f x x + C We bekijken deze functie op een bijzondere manier: we maken een rij van functiewaarden als volgt. Kies een getal, en noem dat x Bereken de functiewaarde voor x , en noem deze waarde x Bereken de functiewaarde voor x , en noem deze waarde x Enzovoorts. We krijgen dus een rij getallen die voldoen aan x n+1 f x n Gaston Julia (Gaston Maurice Julia, 1893 - 1978, Frankrijk) publiceerde in 1919 zijn boek Mémoire sur l'iteration des fonctions rationelles waarin hij het iteratief gedrag van de in hoofde genoemde functie(s) onderzocht. C = Voor c = hebben we uitgaande van verschillende waarden van x ook verschillende rijen met een verschillend gedrag: [1] x = 0, x = 0, x = 0, x [2] x = 1, x = 1, x = 1, x [3] x = 2, x = 4, x =16, x [4] x = 0,7 ; x = 0,49 ; x = 0,2401 ; x = 0,057648 ; x = 0,003323 ; x [5] x = 1,1 ; x

84. Quaternion Julia Fractals See also Quaternion Maths and julia set. Googleblatted and slashdotted What happenedon the 3rd February 2004, the birthday of gaston julia? Introduction. http://astronomy.swin.edu.au/~pbourke/fractals/quatjulia/

Quaternion Julia Fractals Written by Paul Bourke July 2001 See also Quaternion Maths and Julia set Googleblatted and slashdotted What happened on the 3rd February 2004, the birthday of Gaston Julia? Introduction Quaternion Julia fractals are created by the same principle as the more traditional Julia set except that it uses 4 dimensional complex numbers instead of 2 dimensional complex numbers. A 2D complex number is written as z = r + a i where i = -1. A quaternion has two more complex components and might be written as q = r + a i + b j + c k where r, a, b, and c are real numbers. There are slightly more complicated relationships between i, j, and k i = j = k i j = k j k = i k i = j j i = -k k j = -i i k = -j For more details on quaternion maths (how to add and multiple) see the reference given in the header above. To generate a quaternion fractal a function is iterated z n+1 = f(z n ) and if it tends to infinity then it is outside the Julia set, if it is bounded then it is inside the set. Non linear functions are by far the more interesting, in what follows we use the simplest non linear function z n+1 = z n + c where c and z are both quaternions. z

85. FRACTINT Julia Sets These sets were named for mathematician gaston julia, and can be generated bya simple change in the iteration process described for the Mandelbrot Set . http://spanky.triumf.ca/www/fractint/julia_type.html

Julia Sets Julia type (type=julia) 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 The relationship between the Mandelbrot Mandellambda Sets Some equations have additional parameters. These values are entered as the third or fourth params= value for both Julia and Mandelbrot sets. The variables x and y refer to the real and imaginary parts of z; similarly, cx and cy are the real and imaginary parts of the parameter c and fx(z) and fy(z) are the real and imaginary parts of f(z). The variable c is sometimes called lambda for historical reasons. Julia Toggle Spacebar Commands The spacebar toggle has been enhanced for the classic Mandelbrot and Julia types. When viewing the Mandelbrot, the spacebar turns on a window mode that displays the Inverse Julia corresponding to the cursor position in a window. Pressing the spacebar then causes the regular Julia escape time fractal corresponding to the cursor position to be generated. The following keys take effect in Inverse Julia mode. [Space] [n] Numbers toggle - shows coordinates of the cursor on the screen. Press

86. OEUVRES Translate this page 4 (1964). julia, gaston, Oeuvres de gaston julia Vol. 1 (1968). julia, gaston,Oeuvres de gaston julia Vol. 2 (1968). Kato, Tosio, Travaux Vol. 1 (1950-1961). http://www.iecn.u-nancy.fr/~eguether/bibliotheque/MotCle/node9.html

suivant: PHILOSOPHIE monter: MotCle HISTOIRE OEUVRES Abel, Niels Henrik Abel, Niels Henrik Adams, J. Frank The selected works of J. Frank Adams Vol. 1 (1991) Adams, J. Frank The selected works of J. Frank Adams Vol. 2 (1991) Artin, Emil The collected papers of Emil Artin (1965) Atiyah, Michael Collected works Vol. 1 (1988) Atiyah, Michael Collected works Vol. 2 (1988) Atiyah, Michael Collected works Vol. 3 (1988) Atiyah, Michael Collected works Vol. 4 (1988) Atiyah, Michael Collected works Vol. 5 (1988) Badrikian, Albert Oeuvres scientifiques (1990) Banach, Stefan Oeuvres Vol. 2 (1979) Bellman, Richard E. The Bellman continuum (1986) Bernoulli, Jakob Die Werke von Jakob Bernoulli Vol. 1 (1969) Bishop, Errett Selected papers (1986) Bochner, Salomon Selected mathematical papers of Salomon Bochner (1969) Bolzano, Bernard Bernard Bolzano's Schriften Vol. 1 (1930) Borel, Armand Oeuvres Vol. 1 (1983) Borel, Armand Oeuvres Vol. 2 (1983) Borel, Armand Oeuvres Vol. 3 (1983) Borel, Armand Oeuvres Vol. 4 (2001) Borel, Emile Oeuvres de Emile Borel Vol. 1 (1972) Borel, Emile

87. º£Æü¤Î¥°¡¼¥°¥ë¡§Gaston Julia ¤Ã¤Æï¡© : ¤·¤ë¤Ö¤× The summary for this Japanese page contains characters that cannot be correctly displayed in this language/character set. http://ch.kitaguni.tv/u/1916/¤°¡¼¤°¤ë/0000046217.html

2004 ǯ 02 ·î 04 Æü¡ÊWed¡Ë º£Æü¤Î¥°¡¼¥°¥ë¡§Gaston Julia ¤¤Æ¯¡© ¤Æ¤«¡¢Gaston Julia¤¤Æ¯¤À¤í¤¦¡¦¡¦¡¦¡£ Åê¹Æ¼Ô¡§¤·¤ë¤Ö¤×¤ì at 11:16 http://tinyurl.com/2sww6 What's wrong? Judy at 2004 ǯ 02 ·î 04 Æü 23:14:54 http://www.cam.hi-ho.ne.jp/kai-home01/index.html at 2004 ǯ 02 ·î 05 Æü 01:41:49 ¤È¤³¤í¤ÇÀè¤Û¤Éµ¤¤Å¤­¤Þ¤·¤¿¤¬¡¢ºòÆü¡Ö¥«¥ï¥ê¥À¥Í¡×¤ÎÉôʬ¤ò¡Ö¥ï¥¿¥ê¥¬¥Ë¡×¤È²ò¼á¤·¤Æ¤ª¤ê¤Þ¤·¤¿¡£¹ñ¸ì¤â¶ì¼ê¤é¤·¤¤¡¥¡¥¡¥¡¡Judy at 2004 ǯ 02 ·î 05 Æü 22:35:36 at 2004 ǯ 02 ·î 05 Æü 22:37:51 ¥È¥é¥¥¯¥Ð¥¥¯ ping URL ¤Ï¤³¤Á¤é URL June 2004 Sun Mon Tue Wed Thu Fri Sat ¥Á¥ã¥ó¥Í¥ëË̹ñtv ¥È¥¥×¤Ø ¶âÄ»CM¡¡ÂçÂ콨¼£¤È´ßÉô°ìÆÁ WOWWOW¤ÎCM¤¤Æ¡¦¡¦¡¦ from ¥²¥¹¥È from Nezu from ¤·¤ë¤Ö¤×¤ì from ¤·¤ë¤Ö¤×¤ì from ¥²¥¹¥È from ¥²¥¹¥È from ¤·¤ë¤Ö¤×¤ì from ¤·¤ë¤Ö¤×¤ì from ¥²¥¹¥È from ¥²¥¹¥È ¶âÄ»CM¡¡ÂçÂ콨¼£¤È´ßÉô°ìÆÁ from ¤·¤ë¤Ö¤×¤ì from ¤·¤ë¤Ö¤×¤ì from ¥²¥¹¥È ¶âÄ»CM¡¡ÂçÂ콨¼£¤È´ßÉô°ìÆÁ from ¥²¥¹¥È ¶âÄ»CM¡¡ÂçÂ콨¼£¤È´ßÉô°ìÆÁ from manbow CM¤ÎÏÂê¤È¤« ̤À°ÍýBOX May April ... November Ë̳¤Æ»¤Î¼«Á³¾ðÊó»¨»ï ¥Õ¥¡¥¦¥é(faura) ¥·¥ç¥¥×Ë̹ñtv¤Ø ¥Í¥¤¥Á¥ã¡¼Ë̹ñtv¤Ø Ë̹ñtv¥È¥¥×¥Ú¡¼¥¸¤Ø ¥ª¡¼¥×¥ó¡¦¥Ö¥í¥°¡¦¥³¥ß¥å¥Ë¥Æ¥£¡ª ¡Ö¥Á¥ã¥ó¥Í¥ëË̹ñtv¡×¤Ï̵ÎÁ¤Çºî¤ì¤ë¥Ö¥í¥°¥Ú¡¼¥¸³«Àߥµ¡¼¥Ó¥¹¤Ç¤¹¡ª Syndicate this site (XML)

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89. Julia Set Graphing Program representing the imaginary part. These sets of complex numbers were namedafter french mathematician gaston julia. The following are some http://www.benfold.com/bensstuff/juliaset/juliaset.html

Julia Set Graphing Program Category: Maths Author: Ben Last Update: Platform: Any JVM implementation Language: Java Download Size: This program is designed to graph Julia Sets, the sets of all complex numbers that do not tend towards infinity under the iteration Z n+1 =Z n +c, where c is a constant. This program plots these numbers on an argand diagram, the x co-ordinate representing the real part of the number and the y co-ordinate representing the imaginary part. These sets of complex numbers were named after french mathematician Gaston Julia. The following are some values of c that are known to give interesting results: I recommend entering numbers of your own, most will just form a big blob, but by altering the numbers slightly and looking at whether the image has become more or less detailed it is possible to discover some interesting sets. I found the last two sets on the above list in about 10 minutes using this method. Back to the Benfold.com contents page Ben Benfold

90. N O C T O - Kirsty's Weblog gaston julia. it s gaston julia s 101st birthday and it s nice to see thatgoogle logos run to celebrating mathematicians as well as artists. http://nocto.com/kirsty/?month=02&year=2004

91. Encyclopedia: Gaston Julia Updated ,. Encyclopedia gaston julia. Sorry, no entry exists for this yet.The Wikipedia article included on this page is licensed under the GFDL. http://www.nationmaster.com/encyclopedia/Gaston-Julia

Supporter Benefits Signup Login Sources ... Pies Factoid #65 Moldova has one of the lowest rates of movie-going of any nation, and the highest rate of death by powered lawnmower . Coincidence? Surely not. Interesting Facts Make your own graph: Hold down Control and click on several. Compare All Top 5 Top 10 Top 20 Top 100 Bottom 100 Bottom 20 Bottom 10 Bottom 5 All (desc) in category: Select Category Agriculture Crime Currency Democracy Economy Education Energy Environment Food Geography Government Health Identification Immigration Internet Labor Language Manufacturing Media Military Mortality People Religion Sports Taxation Transportation Welfare with statistic: view: Correlations Printable graph / table Pie chart Scatterplot with ... * Asterisk means graphable. Added May 21 Mortality stats Multi-users ½ price Catholic stats Top Graphs Richest Most Murderous Most Populous Most Militaristic ... More Stats Categories Agriculture Background Crime Currency ... Welfare Updated: , Encyclopedia : Gaston Julia Sorry, no entry exists for this yet. The Wikipedia article included on this page is licensed under the GFDL Usage implies agreement with terms

92. Fractalmovies.com When only 25 when gaston julia published his 199 page masterpiece Mémoire sur l iterationdes fonctions rationelles which made him famous in the mathematics http://www.fractalmovies.com/index.php4?mode=experte&frage=22&rubrik=2

93. Gaston Tellmeabout.co.uk julia Biography of gaston julia (18931978). gaston julia - Wikipedia, thefree encyclopedia gaston julia. From Wikipedia, the free encyclopedia. http://www.tellmeabout.co.uk/directory/g/gaston/readme.htm

94. EMERGENCY MEDICAL SERVICES EMERGENCY MEDICAL SERVICESEMERGENCY MEDICAL SERVICES The Emergency Services Program serves emergency services agencies in emergency care certification and. recertification for both basic and advanced http://www.gaston.cc.nc.us/register/pgs51_52_cont ed_EMS.pdf

95. Julia julia. julia is a feminine name. In Ancient Rome, women from all branchesof the Julius family were called julia (see Roman naming convention). http://www.fact-index.com/j/ju/julia.html

Main Page See live article Alphabetical index Julia Julia is a feminine name. In Ancient Rome , women from all branches of the Julius family were called Julia (see Roman naming convention For the Julias of the Julii Caesarii ( Julius Caesar branch) - see Julia Caesaris For Julia Augusta, the wife of Emperor Augustus - see Livia Drusilla See also: Julia (movie) Julia (television) Julia, Gaston This article is from Wikipedia . All text is available under the terms of the GNU Free Documentation License

96. Fractales Translate this page Conjuntos de julia. En otras palabras, los valores z que son invariantes frentesa la iteración, constituyen el conjunto de julia o conjunto J para abreviar. http://matap.dmae.upm.es/cursofractales/capitulo5/2.html

Conjuntos de Julia en el estudio de polinomios de grado 2 en variable compleja + c ), Adrien Douady Pierre Fatou (1878-1929) y , e o arbitrario. Recordemos que el conjunto de puntos z o (n) inf n=0 (x), f z n+1 = z n iq z m iq m = r m imq iq z m = z iq = r (a) Escapan al infinito: conjunto de escape E F c (z) = z + c, f: (x, y) > (x -y +a, 2xy+b) Hemos visto el caso sencillo de c=0. Repetimos que el conjunto de escape es: E c P c c c c iq n+1 =z n +c. Intenta demostrarlo. c = 0.275 c = 1/4 c = c = -3/4 c = -1.312 c = -1.375 c = -2 c = i c=(+0.285,+0.535) c=(-0.125,+0.750) c=(-0.500,+0.563) c=(-0.687,+0.312) Supongamos el mapa iterativo: x(n+1)= -3*x(n) sii x>0.5 Si x(0) > 1 entonces se vuelve a repetir la historia. Pista: es un viejo conocido

97. 2.2 Julia Sets itself. Such sets are called the julia sets after the French mathematicianGaston julia who first conceived of them in the 1910s. The http://hypertextbook.com/chaos/22.shtml

The Chaos Hypertextbook Fair Use Encouraged prev index next Julia sets rendered with Object Mandelbrot Julia's Dream 2.2 Julia Sets Let's return for a while to our original map + c. The graph of this function is a parabola when "x" and "c" are real numbers. The orbits of well-behaved seeds are bounded for parameter values in the interval [-2, 1/4]. These orbits can settle on to attracting fixed points, be periodic, or ergodic. A small set of fixed points, the repelling fixed points, do not generate orbits in the traditional sense. They neither roam nor run off to infinity and one need not wait for them to exhibit "characteristic" behavior. They are permanently and immutably fixed and nearby points avoid them. They lie on the frontier between those seeds with bounded orbits and those with unbounded orbits. Such is the behavior in general for all points and all parameter values; or is it? The discussion so far has been constrained by a prejudice for real numbers. What happens when we admit that i = sqrt(-1) has a solution? How does our function behave when "z" and "c" are complex numbers ? The answer, of course, is the same but the results are much more interesting than such a flip statement implies.

98. Gaston 1.0.1b - VersionTracker gaston Interactive 3D rendering of 4D quaternionJulia set fractals Current Version 1.0.1b http://www.versiontracker.com/dyn/moreinfo/macosx/20574

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99. Annales Scientifiques De L École Normale Supérieure (3) Tome 48 fraction rationnelle p. 1-14 Texte intégral djvu pdf Analyses Zbl http://www.numdam.org/numdam-bin/feuilleter?id=ASENS_1931_3_48_

100. 20e MATHEMATICS DES FONCTIONS DE VARIABLES COMPLEXES. Paris, Gauthier-Villars, 1933. http://perso.wanadoo.fr/alta.mathematica/twentieth.html

Antiquarian books on mathematics and varias. Livres anciens de mathematiques et autres sciences Twentieth century's mathematics. DESCRIPTION SOMMAIRE-SUMMARY All items in first edition, except where otherwise noted.. Click the chosen item to get full descriptions and comments by BERNSTEIN (Serge) 45 Euros BERNSTEIN (V.) 45 Euros BOREL BOURBAKI BRELOT 35 Euros JULIA (Gaston) 45 Euros 30 Euros MANDELBROJT (S.) 60 Euros MONTEL 45 Euros MONTEL 45 Euros REYE DIE GEOMETRIE DER LAGE 120 Euros 762. RHAM (Georges de) 140 Euros WIENER (Norbert) THE ERGODIC THEOREM 60 Euros ZORETTI (Ludovic) Sur les fonctions analytiques 60 Euros 772. YOUNG (L.-C.) DESCRIPTION 30 p p. 18 (4) p f = feuille). Commande - To order. BERNSTEIN (Serge) Edition originale. 45 Euros Commande - To order. BERNSTEIN (V.) Edition originale 45 Euros l n a n s la variable. Le cas de l n e -s = z . Le cas de l n = logn et a n = 1 donne la fonction z s droite de convergence Paul Montel Commande - To order. BRELOT 35 Euros R. Taton.

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