81. Gaston County, NC Cemeteries gaston County, NC. 1929 John Luther Rhyne Feb 12 `1868 Aug 27 1901 Jonas E, RhyneMar 27 1857 Jan 2 1934 Jonathan Rhyne Jan 20 1807 Jul 17 1895 julia Rhyne Oct http://rfci.net/wdfloyd/luthchap.html

LUTHERAN CHAPEL CEMETERY Gaston County, NC By John Helms From Charlotte take I-85 to the New Hope Road exit in Gastonia turn right go through 2 lights Church and Cemetery will be on the right Cemetery has a stone fence around it. Surnames Abernathy, Armstrong, Beam, Bell, Bingham, Brown, Byers, Byrd, Carpenter, Cashion, Clark, Clemmer, Cloninger, Collins, Cox, Crisp, Cuthbertson, Davis, Davison, Edwards, Ellington, Falls, Farrar, Ford, Fox, Fronebarger, Froneberger, Gahagen, Garrison, Glienke, Grissom, Groves, Hamilton, Harkey, Harrison, Helton, Henley, Hoffman, Howe, Huffman, Jenkins, Johnson, Keller, Kendrick, Lewis, Linebarger, Lineberger, Lutz, Lytton, Mason, Moton, Myers, McArver, McCarter, McGinnis, Neelands, Noles, Oliver, Pace, Pasour, Paysour, Pearson, Penley, Peterson, Presley, Quinn, Ratchford, Rhyne, Richards, Robinson, Rudisill, Shelton, Smith, Smyre, Stowe, Stroup, Thornburg, Torrence, Tucker, Warren, Whitley, Wilson Carl P. Stroup Jan 13 1892, Nov 19 1946

82. More About Fractals gaston julia (18921978) was a French mathematician who studied julia setsduring the early 20th century. gaston Maurice julia. Benoit Mandelbrot. http://freda.auyeung.net/fractals/facts.htm

When were fractals "discovered"? By who? There are four people who made significant contributions to the development and experimentation of fractals: Henri Poincaré, Pierre Fatou, Gaston Maurice Julia and his student, Benoit Mandelbrot. Little can be found about Poincaré except that he first concieved them circa 1890. Afterwards, Fatou and Julia continued to elaborate on the discovery and exploration of fractals. There is also little that can be found on Fatou. Gaston Julia (1892-1978) was a French mathematician who studied Julia sets during the early 20th century. However, Mandelbrot was the first to actually "discover" fractals. While he was examining the shapes created by Julia, he tried to classify the shapes by using a repeating equation and "graphing" it. He worked for the IBM company and it was then when computers were used to examine and develop fractals. Today, the most recognized person who has worked with fractals is M.C. Escher. Gaston Maurice Julia Benoit Mandelbrot Is there a difference between Mandelbrot and Julia fractals?

83. I2148: George BARTLETT (19 OCT 1868 - 12 MAR 1959) julia CRAFT INDEX. Father Edward Newton SMITH Mother Mary Bird gaston http://hakmiller.rootsweb.com/html/d0006/g0000042.html

George BARTLETT 19 OCT 1868 - 12 MAR 1959 BIRTH : 19 OCT 1868, West Milford, Harrison County, West Virginia DEATH : 12 MAR 1959, Harrison County, West Virginia Father: John Calvin BARTLETT Mother: Mary FLEMMING Family 1 Ida May WEST MARRIAGE : 22 SEP 1895, Harrison County, West Virginia Guy C. BARTLETT Allison Clyde BARTLETT Exel J. BARTLETT Reva P. BARTLETT ... HOME HTML created by GED2HTML v3.6-WIN95 (Jan 18 2000) on 02/26/2003 04:25:32 PM Eastern Standard Time Julia CRAFT Family 1 John Soulby COLLINS James COLLINS , 01 Ellis D. COLLINS Edward COLLINS , 03 ... HOME HTML created by GED2HTML v3.6-WIN95 (Jan 18 2000) on 02/26/2003 04:25:32 PM Eastern Standard Time Kenneth DORNHECKER Father: Lawrence DORNHECKER Mother: Susie DIGBY Family 1 NELLY Janice DORNHECKER Carol DORNHECKER _George DORNHECKER ... HOME HTML created by GED2HTML v3.6-WIN95 (Jan 18 2000) on 02/26/2003 04:25:32 PM Eastern Standard Time George FONNER Father: Russell E. FONNER Mother: Evelyn WATKINS _Andrew Jackson FONNER , Sr._ _George FONNER _Russell E. FONNER ... HOME HTML created by GED2HTML v3.6-WIN95 (Jan 18 2000)

84. Biography-center - Letter J Juel, Sophus wwwhistory.mcs.st-and.ac.uk/~history/Mathematicians/Juel.html; julia,gaston www-history.mcs.st-and.ac.uk/~history/Mathematicians/julia.html; http://www.biography-center.com/j.html

Visit a random biography ! Any language Arabic Bulgarian Catalan Chinese (Simplified) Chinese (Traditional) Croatian Czech Danish Dutch English Estonian Finnish French German Greek Hebrew Hungarian Icelandic Indonesian Italian Japanese Korean Latvian Lithuanian Norwegian Polish Portuguese Romanian Russian Serbian Slovak Slovenian Spanish Swedish Turkish J 242 biographies J., Maynard Keynes www.pathfinder.com/time/time100/scientist/profile/keynes.html Jabir ibn Aflah, al-Ishbili www-history.mcs.st-and.ac.uk/~history/Mathematicians/Jabir_ibn_Aflah.html Jabouille, Jean-Pierre www.grandprix.com/gpe/drv-jabjea.html Jaccoud, Sigismond www.whonamedit.com/doctor.cfm/739.html Jackson, Andrew odur.let.rug.nl/~usa/P/aj7/about/bio/jackxx.htm Jackson, Dr. Shirley A. library.thinkquest.org/20117/jackson.html Jackson, Helen Hunt nv.essortment.com/helenhuntjacks_rvki.htm Jackson, Helen Hunt jes.tvusd.k12.ca.us/biography_jackson.htm Jackson, Helen Hunt www.anb.org/articles/16/16-00836-article.html Jackson, Peter www.houseofhorrors.com/jacksonbio.htm Jackson, Rachel Donelson www.whitehouse.gov/WH/glimpse/firstladies/html/rj7.html Jackson, Shirley

85. Lectures Mandlebrot (Banoit Mandlebrot); The Making of a julia (gaston julia);Ohm's Law (The American Radio Relay League); Fiegenbaum's Number http://www.ccs.neu.edu/home/gmfbrown/beq-7.html

Songs: Pythagorean Blues (Ross Fabricant) The Making of a Mandlebrot (Banoit Mandlebrot) The Making of a Julia (Gaston Julia) Ohm's Law (The American Radio Relay League) Fiegenbaum's Number (Mitchel Fiegenbaum) The Water Wheel (Edward Lorenz) Helter Skelter (John Lennon/Paul MaCartney) The Game of Life (John H.Conway) Princeton Biology SAT Review (Theodore Silver, M.D) Prelude to Breakthrough (Peter Beckman) Now only $173 To Order Dial 1-800-BE-QUIET Back to the B.E.Quiet Home Page George Martin Fell Brown Last Updated: Tuesday, April 1, 1997 The URL for this document is: http://www.ccs.neu.edu/home/gmfbrown/beq-7.html

86. Le Romain Des Mots-croisés. **Mathématiciens Translate this page 1794) HERMITE (CHARLES) NÉ, A, DIEUZE (1822-1901) JORDAN (CAMILLE) NÉ, A, LYON(1838-1922) julia (gaston) NÉ, A, SIDI-BEL-ABBES) (1893-1978) KOENIGS (GABRIEL http://www.mots-croisiste.com/19.html

Index général aéroport affluents Centrale nucléaire et hydroélectriques Chefs-Lieux Collines de Rome Communes Compositeurs Constellations Cyclades Déesses Dieux Divinités Écrivains Fleuves Côtier FLeuves des enfers Fleuves Historiens Homme d'état Homme Politiques Lacs Massifs Mathématiciens Noms Peintres Poètes Ports et Ports Fluviaux Rivières Sculteurs Théologiens Torrents Villes MATHEMATICIENS MATHEMATICIENS, ALLEMANDS. ARTIN (EMIL) NÉ, A, VIENNE (1898-1962) CANTOR (GEORG) NÉ, A, ST-PETERSBOURG (1845-1918) DEDEKIND (RICHARD) NÉ, A, BRUNSWICK (1831-1916) DIRICHLET (GUSTAV LEJEUNE) NÉ, A, DUREN(1805-1859) FUCHS (LAZARUS) NÉ, A, MOSCHIN (1833-1902) GAUSS (CARL FRIEDRICH) NÉ, A, BRUNSWICK) (1777-1855) GRASSMANN (HERMANN) NÉ, A, STETTIN (1809-1877) HAUSDORFF(FELIX) NÉ, A, BRESLAU (1868-1942) HILBERT (DAVID) NÉ, A, KONIGSBERG (1862-1943) JACOBI (CARL) NÉ, A, , POTSDAM (1804-1851) KLEIN (FELIX) NÉ, A, DUSSELDORF (1849-1925) KRONECKER (LEOPOLD) NÉ, A, LIEGNITZ (1823-1891) KUMMER (ERNST EDUARD ) NÉ, A, SORAU (1810-1893) LEIBNIZ (GOTTFRIED WILHELM) NÉ, A, LEIPZIG (1646-1716) LINDEMANN (FERDINAND VON ) NÉ, A, HANOVRE (1852-1939)

87. Julia Set Fractal The julia set is named after the French mathematician gaston julia who investigatedtheir properties circa 1915 and culminated in his famous paper in 1918. http://astronomy.swin.edu.au/~pbourke/fractals/juliaset/

Julia Set Fractal (2D) Written by Paul Bourke June 2001 See also: Julia set of sin(z) The Julia set is named after the French mathematician Gaston Julia who investigated their properties circa 1915 and culminated in his famous paper in 1918. While the Julia set is now associated with a simpler polynomial, Julia was interested in the iterative properties of a more general expression, namely z + z /(z-1) + z /(z + 4 z + 5) + c. The Julia set is now associated with those points z = x + iy on the complex plane for which the series z n+1 = z n + c does not tend to infinity. c is a complex constant, one gets a different Julia set for each c. The initial value z for the series is each point in the image plane. In the broader sense the exact form of the iterated function may be anything, the general form being z n+1 = f(z n ), interesting sets arise with nonlinear functions f(z). Commonly used functions include the following: z n+1 = c sin(z n z n+1 = c exp(z n z n+1 = c i cos(z n z n+1 = c z n (1 - z n Computing a Julia set by computer is straightforward, at least by the brute force method presented here. The image is created by mapping each pixel to a rectangular region of the complex plane. Each pixel then represents the starting point for the series, z . The series is computed for each pixel and if it diverges to infinity it is drawn in white, if it doesn't then it is drawn black. This convergence or otherwise isn't always obvious and it may take a large number of iterations to resolve so a decision procedure is required to determine divergence. This typically involves assuming the series tends to infinity as soon as its value exceeds some value, if the series hasn't diverged after a certain number of terms it is similarly assigned to be part of the set. Both these decisions can be varied to give more precise images but ones that take longer to calculate. An added effect is achieved by colouring the point by how fast it diverges to infinity.

88. Prisoners And Escapees--Julia Sets Discussion Mentor That is a simplified description, but you have all the main ideas. Let'stalk about Prisoners and Escapees, and gaston julia and Pierre Fatou. http://www.shodor.org/interactivate/discussions/julia.html

Prisoners and EscapeesJulia Sets Discussion Student: So the Mandelbrot set is made up of Julia sets , which are prisoner sets. What is a prisoner Mentor: That is a simplified description, but you have all the main ideas. Let's talk about Prisoners and Escapees , and Gaston Julia and Pierre Fatou. After World War I, Julia and Fatou were interested in iterating two variable (or complex) equations using recursion . They chose an equation and iterated it using various starting points. Mathematicians call this sort of problem a dynamical system . They found that if you looked at different starting points, different behaviors would emerge. Let's look at the simplest interesting case: f(Z) = Z^2 + C where C is any point (complex number) inside the circle of radius 2. We are only interested in those points because that is where we will be looking for the Mandelbrot set eventually. Here's an experiment to try: Let C = (0,0) and start with the point (0,1). What happens? Student: Let's see; Z = (0,1) f(0,1) = (0,1)^2 + (0,0) = (-1,0) + (0,0) = (-1,0)

89. History Of Mandelbrot And Julia Fractals gaston julia (18931978) was a French mathematician whose work (published in 1918)inspired Mandelbrot in 1977 (the second time Mandelbrot looked at julia's http://www.icd.com/tsd/fractals/beginner1.htm

history of the mandelbrot and julia fractals "Fractal" is a term coined by Benoit Mandelbrot (1924-) to describe an object which has partial dimension. For example, a point is a zero-dimensional object, a line is a one-dimensional object, and a plane is a two-dimensional object. But what about a line with a kink in it? Or a line that has an infinite number of kinks in it? These are mathematical constructs which don't fit into normal (Euclidean) geometry very well, and for a long time mathematicians considered things like these as "monsters" to be avoided - lines of thought that defied rational explanation in known terms. Within the past few decades, "fractal math" has exploded, and now there are "known terms" for describing objects which heretofore were indescribable or inexplicable. There are an infinite variety of fractals and types; those that I focus on in my gallery are Mandelbrot and Julia fractals. Gaston Julia (1893-1978) was a French mathematician whose work (published in 1918) inspired Mandelbrot in 1977 (the second time Mandelbrot looked at Julia's work). Mandelbrot used computers to explore Julia's work, and discovered (quite by accident) the most famous fractal of all, which now bears his name: the Mandelbrot set. Menu Next Topic

90. Factoids > Mandelbrot And Julia Sets The black set represents the prisoner points that do not diverge it isthe Mandelbrot set. julia set. Named after gaston julia (18931978). http://www-users.cs.york.ac.uk/~susan/cyc/m/mandel.htm

Mandelbrot set Named after Benoit B. Mandelbrot A fractal generated by iterating: z n z n c z = 0, and plotting how fast it diverges to infinity for different values of the complex number c (speed represented as colours). The black set represents the "prisoner" points that do not diverge: it is the Mandelbrot set Julia set Named after Gaston Julia (18931978). A fractal generated by iterating: z n z n c , and plotting how fast it diverges to infinity for different values of the complex number z (speed represented as colours) for a set value of c . The black set represents the "prisoner" points that do not diverge: the border of this set is the Julia set Values of c that lie within the Mandelbrot set result in connected Julia sets; values of c from outside result in disconnected Julia sets. We can draw an array of Julia sets for various values of c , and map out the Mandelbrot set. Mandelbroids and Julioids (Java applet, JDK 1.3)

91. Faculty gaston College provides high quality educational programs and services to the citizens of gaston and Lincoln Counties. http://www.gaston.cc.nc.us/ContEd/faculty.htm

Continuing Education Staff Staff Member Office Phone Office E-mail Address Dr. Linda Greer Dean DSC 104 greer.linda@gaston.cc.nc.us Debbie Sigmon Administrative Assistant DSC 104 sigmon.debbie@gaston.cc.nc.us Attaway, Vicky Registration Specialist DSC 113 attaway.vicky@gaston.cc.nc.us Bambach, Bill Teacher, Employment Readiness Dallas Prison bambach.bill@gaston.cc.nc.us Brown, Gail Secretary, BLET/CJA PTI 117 brown.gail@gaston.cc.nc.us Chambers, Allen Director, Life Skills LIF 101A chambers.allen@gaston.cc.nc.us Davis, Ann MOB O davis.ann@gaston.cc.nc.us Glenn, Ethel Life Skills LIF 112C glenn.ethel@gaston.cc.nc.us Hamilton, Sandy Secretary, Community Education DSC 202 hamilton.sandy@gaston.cc.nc.us High, Lora Secretary, SBC/Traffic School DSC 201 high.lora@gaston.cc.nc.us Hollars, Beth Director, Community Education DSC 221C hollars.beth@gaston.cc.nc.us Hoover, Bill Dr. Instructor/CE CET 209B hoover.bill@gaston.cc.nc.us Hopper, Nancy Coordinator of CE Registration DSC 114 hopper.nancy@gaston.cc.nc.us

92. Zandor's - Alessandro Rosa - Complex These complex fractal structures have been discovered by two french mathematiciansGaston julia ( 18931978 ) and Pierre Fatou ( 1888-1929 ) who both but http://malilla.supereva.it/Pages/Fractals/fractals.html

sw="none";sd="none";ref=""+escape(document.referrer); Scarica Sfondi screen saver e skins Download screen savers and skins Contact me at my e-mail : malilla2000@yahoo.it HomePage Complex Quaternions ... Inwards to Chaos Here we are ! I'd like asking you what had been your personal approach to complex ( or not ) discrete dynamical systems. Perhaps, it had been the usual approach (like me, honestly) : the fashion of pictures appearing naively like a craddle of shapes and colors and revealing an unsuspected harmony. The second phase took place as soon as I knew that it was just a not so hard lecture of just (!) a mathematical relation (a mapping ... And feelings raised more and more. I've been amazed by these kind of iterated mappings and by the way so that apparent disorder contains a new veiled order ( the so-called behaviour « unpredictable determination », resuming in two words the great interest for those dynamics ). Who's the human being without any faith (even) in a naive order ruling the Universe ? At present I'm studying topology and complex analysis for a deeper and deeper understanding.

93. Julia Set - Wikipedia julia set. From Wikipedia, the free encyclopedia. julia sets, described byGaston julia, are fractal shapes defined on the complex number plane. http://www.wikipedia.org/wiki/Julia_set

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 Julia set From Wikipedia, the free encyclopedia. Julia sets , described by Gaston Julia , are fractal shapes defined on the complex number plane. Given two complex numbers, c and z, we define the following recursion z n+1 = z n + c For a given value of c, the Julia set consists of all values of z for which z, when iterated, does not "blow up" or tends to infinity. 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. The Mandelbrot set is, in a way, an index of all Julia sets, For any point on the complex plane (which represents a value of c) a corresponding Julia set can be drawn. We can imagine a movie of a point moving about the complex plane with its corresponding Julia set. When the point lies in the Mandelbrot set the Julia set is "all in one piece" or topologically unified. As the point crosses the boundary of the Mandelbrot set, the Julia set shatters into a Cantor dust of unconnected points.

94. Ask Jeeves: Search Results For "Fractal Mandelbrot Julia" Popular Web Sites for Fractal Mandelbrot julia . Search Results 1 10 Rankedby Popularity, Next . Ask Jeeves a question about Fractal Mandelbrot julia http://webster.directhit.com/webster/search.aspx?qry=Fractal Mandelbrot Julia

95. 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.

96. Junk Mail Translate this page junk mail, 21-11-1999. loc. m. SOCMAIL Littéralement « CourrierPoubelle ». C'est la tonne de merdier qui encombre votre boîte http://openbsd.bcnix.com/jargon/J/junk_mail.html

97. 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 when mentioned. 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 140 Euros WIENER (Norbert) THE ERGODIC THEOREM 60 Euros ZORETTI (Ludovic) Sur les fonctions analytiques 60 Euros 761. RADON (Johann) 762. RHAM (Georges de) 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. Commande - To order. JULIA (Gaston) 45 Euros Commande - To order.

98. La Casa De Jar@. - LaCasadeJara.org -, La Casa De Jara http://www.lacasadejara.org/fractales/julia2.html

Gaston Maurice Julia Hemos leído en más de un sitio que... Gaston Maurice Julia, insigne matemático, nació el 3 de Febrero de 1893 en Sidi Bel Abbès, Argelia. Y que falleció a los 85 años de edad: el 19 de marzo de 1978 en la ciudad de París, Francia. Se sabe que Gaston Julia fue, precisamente, uno de los padres de la inigualable Teoría de Sistemas Dinámicos moderna; y al que se le debe el llamado el Conjunto de Julia o más conocido por el Set de Julia. A los 25 años de edad publica su gran obra maestra de 199 páginas, titulada "Mémoire sur l'iteration des fonctions rationelles" que le lleva a la bien ganada fama en el amplio ámbito matemático, prioritariamente. Cuando sucedió la Primera Guerra Mundial, Julia intervino activamente en ella, siendo seriamente dañado en un ataque en el mismo frente francés en donde pierde desgraciadamente su nariz y, en consecuencia, se ve obligado a usar una capucha negra para su apéndice nasal que le cubriría, a su vez, parte de la cara por el resto de su vida sin que pudiera evitarlo. Sometido a innumerables operaciones para solucionar su problema, situación que simultaneó con sus estudios matemáticos a pesar de encontrarse hospitalizados en los diferentes centros asistenciales.

99. Lettre J JuliaGaston; jump; jumper; Junet; junk mail; jus; justification; justifier; JVM. (96articles.). http://matrix.samizdat.net/pratique/jargon_3.2.119/index/J.html

Lettre J Jabber jabber jack JAIR ... JVM (96 articles.)

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