Infobox scientist name image Fatou.jpeg image size alt PierreFatou caption birth date Birth date 1878 ... signature alt footnotes spouse Pierre Joseph Louis Fatou 28 February 1878, Lorient &ndash 10 August ... to several branches of mathematical analysis analysis . The Fatou lemma and the Fatou set are named after him. Biography File Pierre Fatou.jpg thumb PierreFatouFatou entered the cole Normale Sup rieure ... 00445 2 ref harv cite paper title Notice sur les travaux scientifique de PierreFatou pdf url http ... title PierreFatou journal Bulletin astronomique year 1933 volume 8 pages 389&ndash 384 See also Fatou ... images.math.cnrs.fr PierreFatou mathematicien et.html PierreFatou, math maticien et astronome by Mich le Audin, on the site Images des Math matiques. List of publications of PierreFatou on http ... PierreFatou Persondata Metadata see Wikipedia Persondata . NAME Fatou, Pierre ALTERNATIVE ... 1929 PLACE OF DEATH Pornichet DEFAULTSORT Fatou, Pierre Category 1878 births Category 1929 deaths ... Sup rieure ca PierreFatou de PierreFatou es PierreFatou fr PierreFatou it PierreFatou ht PierreFatou nl PierreFatou pms PierreFatou pt PierreFatou ru , ... advisors doctoral students notable students known for Fatou lemma br Fatou set br Fatou&ndash Bieberbach ... stagiaire in the Paris Observatory . Fatou was promoted to assistant astronomer in 1904 and to astronomer astronom titulaire in 1928. He worked in this observatory until his death. Fatou was awarded ... Audin 2009 p 132 Mathematical work of FatouFatou s work had very large influence on the development of Mathematical analysis analysis in XX century. Fatou s PhD thesis S ries trigonom triques et s ries de Taylor harv Fatou 1906 was the first application of the Lebesgue integral to concrete problems ... disc. In this work, Fatou studied for the first time the Poisson integral of an arbitrary measure mathematics measure on the unit circle. This work of Fatou is influenced by Henri Lebesgue who ... more details
for the French mathematician PierreFatou Infobox album See Wikipedia WikiProject Albums Name Fatou Type studio Artist Fatoumata Diawara Cover Fatoumata Diawara Fatou.jpg Alt Released Start date 2011 09 19 Recorded Genre Length Duration m MM s SS Label World Circuit record label World Circuit Producer Last album This album Next album Fatou is the debut album from Mali an musician Fatoumata Diawara . Uncut magazine Uncut placed the album at number 34 on its list of Top 50 albums of 2011 , ref cite web url http stereogum.com 891311 uncuts top 50 albums of 2011 list title Uncut s Top 50 Albums Of 2011 publisher Stereogum date 2011 11 29 accessdate ref The Sunday Times named it number 1 world music album in the 2011 end of year polls ref cite web author Post url http thesundaytimes.co.uk title The Sunday Times publisher The Sunday Times date 2012 04 22 accessdate ref and WMCE disambiguate date April 2012 voted it 2011 album of the year. ref cite web url http www.wmce.de title Charts World Music Charts Europe publisher Wmce.de date accessdate ref The album was recorded following a successful acting career and tours as a backing singer with Diawara s mentor Oumou Sangar , who brought her to the attention of World Circuit Records and to whom the song, Makoun Oumou is dedicated. Sung in the Malian language Wassoulou and backing herself on guitar, Diawara explores themes of war, abandonment of children and female circumcision Boloko supported by contributions from West African virtuosi Tony Allen musician Tony Allen drums and Toumani Diabat kora instrument kora as well as Led Zeppelin bassist John Paul Jones . Track listing Kanou Sowa Bakonoba K l Makoun Oumou Sonkolon Alama Bissa Mousso Wilil Boloko Clandestin References reflist Category 2011 debut albums Category Albums by Malian artists 2010s album stub ... more details
In mathematics, the Fatou conjecture , named after PierreFatou , states that a quadratic family of maps from the complex plane to itself is hyperbolic for an open dense set of parameters. References Citation last1 wi tek first1 Grzegorz last2 Graczyk first2 Jacek title The real Fatou conjecture publisher Princeton University Press series Annals of Mathematics Studies isbn 978 0 691 00257 6 978 0 691 00258 3 id MR 1657075 year 1998 volume 144 Category Dynamical systems ... more details
Fatou Ke ta Soubr , 1965 is an C te d Ivoire Ivorian writer. She made her primary studies in Bordeaux where her father was studying surgery, she moved later to England and the United States and studied at the Universit de Cocody . Her first novel, Rebelle , deals with female genital cutting . Bibliography 1996 Le petit gar on en bleu , La voleuse de sourires , Sibani la petite derni re 1998 Rebelle 1999 Le coq qui ne voulait plus chanter 2002 Le billet de 10 000 F 2004 Un arbre pour Lollie 2006 Et l aube se leva External links fr http aflit.arts.uwa.edu.au KeitaFatou.html Info Persondata Metadata see Wikipedia Persondata . NAME Keita, Fatou ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 1965 PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Keita, Fatou Category 1965 births Category Living people Category Ivorian novelists Category People from Bas Sassandra Category Ivorian women writers Africa writer stub ca Fatou Ke ta de Fatou Ke ta es Fatou Ke ta eo Fatou Ke ta fr Fatou Ke ta la Fatou Ke ta sv Fatou Ke ta ... more details
Notability Astro date February 2012 Infobox planet minorplanet yes width 25em bgcolour FFFFC0 apsis name Fatou symbol image caption discovery yes discovery ref discoverer P. G. Comba discovery site Prescott Observatory Prescott discovered June 28, 1998 designations yes mp name 20394 alt names 1998 MQ17 mp category orbit ref epoch May 14, 2008 aphelion 3.5726762 perihelion 2.6827860 semimajor eccentricity 0.1422581 period 2020.4241308 avg speed inclination 6.69230 asc node 282.15649 mean anomaly 204.75830 arg peri 107.28917 satellites physical characteristics yes dimensions mass density surface grav escape velocity sidereal day axial tilt pole ecliptic lat pole ecliptic lon albedo temperatures temp name1 mean temp 1 max temp 1 temp name2 max temp 2 spectral type abs magnitude 13.8 20394 Fatou 1998 MQ17 is a Asteroid belt main belt asteroid discovered on June 28, 1998 by P. G. Comba at Prescott Observatory Prescott . References Reflist External links http ssd.jpl.nasa.gov sbdb.cgi?sstr 20394 Fatou JPL Small Body Database Browser on 20394 Fatou DEFAULTSORT Fatou Category Main Belt asteroids Category Astronomical objects discovered in 1998 beltasteroid stub fa it 20394 Fatou pl 20394 Fatou pt 20394 Fatou uk 20394 vi 20394 Fatou yo 20394 Fatou ... more details
Fatou Tiyana born February 24, 1987 is a track and field Sprint race sprint athlete who competes internationally for The Gambia . ref name beijing http results.beijing2008.cn WRM ENG BIO Athlete 0 225820.shtml Athlete biography Fatou Tiyana , beijing2008.cn, ret Aug 27, 2008 ref Tiyana represented Gambia at the 2008 Summer Olympics in Beijing . She competed at the 100 metres sprint and placed seventh in her heat without advancing to the second round. She ran the distance in a time of 12.25 seconds. ref name beijing References iaaf name id 196766 reflist Persondata Metadata see Wikipedia Persondata . NAME Tiyana, Fatou ALTERNATIVE NAMES SHORT DESCRIPTION Athletics sport competitor DATE OF BIRTH February 24, 1987 PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Tiyana, Fatou Category 1987 births Category Living people Category Gambian athletes Category Olympic athletes of the Gambia Category Athletes track and field at the 2008 Summer Olympics Category Sprinters gambia athletics bio stub de Fatou Tiyana no Fatou Tiyana ... more details
dablink This article is not about Fatou s lemma . In complex analysis , Fatou s theorem, named after PierreFatou , is a statement concerning holomorphic functions on the unit disk and their pointwise extension to the boundary of the disk. Motivation and statement of theorem If we have a holomorphic function math f math defined on the open unit disk math D 2 z z 1 math , it is reasonable to ask under what conditions we can extend this function to the boundary of the unit disk. To do this, we can look at what the function looks like on each circle inside the disk centered at 0, each with some radius math r math . This defines a new function on the circle math f r S 1 rightarrow mathbb C math , defined by math f r e i theta f re i theta math , where math S 1 e i theta theta in 0,2 pi z in mathbb C z 1 math . Then it would be expected that the values of the extension of math f math onto the circle should be the limit of these functions, and so the question reduces to determining when math f r math converges, and in what sense, as math r rightarrow 1 math , and how well defined is this limit. In particular, if the L p space math L p math norms of these math f r math are well behaved, we have an answer Theorem Let math f D 2 rightarrow mathbb C math be a holomorphic function such that math sup 0 r 1 lVert f r rVert L p S 1 infty. math Then math f r math converges to some function math f 1 in L p S 1 math pointwise almost everywhere and in math L p math . That is, math lVert f r f 1 rVert L p S 1 rightarrow 0 math and math f r e i theta f 1 e i theta rightarrow 0 math for almost every math theta in 0,2 pi math . Now, notice that this pointwise limit is a radial limit. That is, the limit being taken is along a straight line from the center of the disk to the boundary of the circle, and the statement above hence says that math f re i theta rightarrow f 1 e i theta math for almost ... t rightarrow 1 gamma t e i theta math . Fatou s theorem Let math f in H p D 2 math . Then for almost ... more details
. The Lemma mathematics lemma is named after PierreFatou . Fatou s lemma can be used to prove the Fatou Lebesgue theorem and Lebesgue s dominated convergence theorem . Standard statement of Fatou ...In mathematics , Fatou s lemma establishes an inequality mathematics inequality relating the integral ... and the integrals may also be infinite. Proof Fatou s lemma may be proved directly as in the first ... , f sub 2 sub , . . . of functions is necessary for Fatou s lemma, as the following example ... integral &minus 1, hence the inequality in Fatou s lemma fails. Reverse Fatou lemma Let f sub 1 sub ... textstyle int S g ,d mu infty math . Proof Apply Fatou s lemma to the non negative sequence given by g f sub n sub . Extensions and variations of Fatou s lemma Integrable lower bound ... mu le liminf n to infty int S f n ,d mu. math Proof Apply Fatou s lemma to the non negative sequence ..., which converges pointwise to f almost everywhere, hence the previous variation of Fatou s lemma is applicable to this subsubsequence. Fatou s Lemma with Varying Measures In all of the above statements of Fatou s Lemma, the integration was carried out with respect to a single fixed measure . Suppose ... int E phi , d mu, math completing the proof. Fatou s lemma for conditional expectations In probability theory , by a change of notation, the above versions of Fatou s lemma are applicable to sequences ... version of Fatou s lemma above, however the monotone convergence theorem monotone convergence theorem ... and the standard version of Fatou s lemma for conditional expectations imply math mathbb E X , , mathcal ... links planetmath reference id 3678 title Fatou s lemma Category Inequalities Category Lemmas Category Measure theory Category Real analysis Category Articles containing proofs de Lemma von Fatou fr Lemme de Fatou ko it Lemma di Fatou he nl Lemma van Fatou pms Teorema d convergensa d l c lcol ant gral pl Lemat Fatou pt Lema de Fatou ru sv Fatous lemma uk ... more details
de Ousmane Semb ne . Works Fatou Diome published a collection of short stories, La Pr f rence ... second novel K tala was published in 2006 in France. In her work Fatou Diome explores France and Africa ... Article in Time http photo75.free.fr pages fatou 20diome1.html picture of Diome of Xavier ... Jean Marie Volet NOT TO BE MISSED, Le ventre de l Atlantique , a novel by Fatou DIOME , September ... . NAME Diome, Fatou ALTERNATIVE NAMES SHORT DESCRIPTION author DATE OF BIRTH 1968 PLACE OF BIRTH Niodior, Senegal DATE OF DEATH PLACE OF DEATH DEFAULTSORT Diome, Fatou Category Senegalese writers Category 1968 births Category Living people de Fatou Diome es Fatou Diome fr Fatou Diome it Fatou Diome la Fatou Diome ro Fatou Diome sv Fatou Diome ... more details
Infobox settlement name Fatou Subdistrict other name native name translit lang1 Chinese character Chinese translit lang1 type Chinese character Chinese translit lang1 info translit lang1 type1 translit lang1 info1 nickname settlement type Subdistrict motto image skyline imagesize image caption image flag flag size image seal seal size image shield shield size image blank emblem blank emblem type blank emblem size image map mapsize map caption pushpin map pushpin label position pushpin map caption Location in Beijing pushpin mapsize coordinates display inline,title coordinates region CN subdivision type Country subdivision name People s Republic of China China subdivision type1 Provinces of China Province subdivision name1 Beijing subdivision type2 Prefecture level city Prefecture subdivision name2 ENTERHERE subdivision type3 County People s Republic of China District subdivision name3 subdivision type4 subdivision name4 government footnotes government type leader title leader name established title established date area magnitude unit pref area footnotes area total km2 population as of population footnotes population note population total population density km2 population density sq mi timezone China Standard Time utc offset 8 latd latm lats latNS N longd longm longs longEW E elevation m elevation ft Fatou Subdistrict lang zh ? is a List of township level divisions of Beijing township level division situated in Beijing , China. ref cite web url http www.xzqh.org html ah title publisher xzqh.org language Simplified Chinese accessdate Currentdaymonthyear ref See also List of township level divisions of Beijing References reflist Category Township level divisions of Beijing Category Chaoyang District, Beijing Beijing geo stub coord missing Beijing ... more details
BLP sources date December 2011 like resume date December 2011 Infobox officeholder name Fatou Bensouda image Deputy Prosecutor.jpg office Chief Prosecutor of the International Criminal Court br small Designate small president Song Sang Hyun deputy term start 16 June 2012 term end succeeding Luis Moreno Ocampo predecessor Luis Moreno Ocampo successor office1 Deputy Prosecutor of the International Criminal Court president1 Philippe Kirsch br Sang hyun Song term start1 8 September 2004 term end1 predecessor1 Position established successor1 TBD birth date birth date and age 1961 1 31 df y birth place Banjul , The Gambia Gambia death date death place alma mater Obafemi Awolowo University University of Ife br Nigerian Law School br International Maritime Law Institute Fatou B. Bensouda born 31 January 1961 is a The Gambia Gambian lawyer, former government civil servant, international criminal law prosecutor and legal adviser. She has been a Deputy Prosecutor in charge of the Prosecutions Division of the International Criminal Court ICC since 2004. In December 2011, she became the consensus choice to serve as the next Prosecutor of the ICC. ref name nextprosecutor Bensouda has previously served as Solicitor General of Gambia, as well as Attorney General and Minister of Justice, advising ... nextprosecutor http www.iccnow.org documents CICCMA PROS ELECTION 011211 2.pdf Fatou Bensouda in Line ... name bbc Farouk Chothia, http www.bbc.co.uk news world africa 16029121 Africa s Fatou Bensouda is new ... by Hassan Jallow and Fatou Bensouda Chapter 2 of The African Guide to International Criminal Justice ... Criminal Court Persondata Metadata see Wikipedia Persondata . NAME Bensouda, Fatou ALTERNATIVE NAMES ... OF DEATH DEFAULTSORT Bensouda, Fatou Category International Criminal Court prosecutors Category ... diplomats Category Female lawyers Category Living people Category 1961 births de Fatou Bensouda fr Fatou Bensouda nl Fatou Bensouda pl Fatou Bensouda sv Fatou Bensouda ... more details
In mathematics , a Fatou Bieberbach domain is a proper subdomain of math mathbb C n math , biholomorphic biholomorphically equivalent to math mathbb C n math i.e. one calls an open set math Omega subset mathbb C n Omega neq mathbb C n math a Fatou Bieberbach domain if there exists a bijective holomorphic function mathematics function math f Omega rightarrow mathbb C n math and a holomorphic inverse function math f 1 mathbb C n rightarrow Omega math . History As a consequence of the Riemann mapping theorem , there are no Fatou Bieberbach domains in the case n 1. PierreFatou and Ludwig Bieberbach first explored such domains in higher dimensions in the 1920s, hence the name given to them later. Since the 1980s, Fatou Bieberbach domains have again become the subject of mathematical research. References Fatou, Pierre Sur les fonctions m romorphs de deux variables. Sur certains fonctions uniformes de deux variables. C.R. Paris 175 1922 Bieberbach, Ludwig Beispiel zweier ganzer Funktionen zweier komplexer Variablen, welche eine schlichte volumtreue Abbildung des math mathcal R 4 math auf einen Teil seiner selbst vermitteln . Preussische Akademie der Wissenschaften. Sitzungsberichte 1933 Rosay, J. P. and Rudin, W Holomorphic maps from math mathbb C n math to math mathbb C n math . Trans. A.M.S. 310 1988 http www.jstor.org stable 2001110 Category Several complex variables Category Inverse functions ca Domini de Fatou Bieberbach de Fatou Bieberbach Gebiet lmo Dumini da Fatou Bieberbach zh ... more details
unreferenced date March 2011 In mathematics , the Fatou Lebesgue theorem establishes a chain of inequality mathematics inequalities relating the integral s in the sense of Lebesgue integration Lebesgue of the limit superior and limit inferior limit inferior and the limit superior and limit inferior limit superior of a sequence of function mathematics function s to the limit inferior and the limit superior of integrals of these functions. The theorem is named after PierreFatou and Henri L on Lebesgue . If the sequence of functions converges pointwise convergence pointwise , the inequalities turn into equality mathematics equalities and the theorem reduces to Lebesgue s dominated convergence theorem . Statement of the theorem Let f sub 1 sub , f sub 2 sub , ... denote a sequence of real number real valued measurable function measurable functions defined on a measure space S , , . If there exists a Lebesgue integrable function g on S which dominates the sequence in absolute value, meaning that f sub n sub g for all natural number s n , then all f sub n sub as well as the limit inferior and the limit superior of the f sub n sub are integrable and math int S liminf n to infty f n ,d mu le liminf n to infty int S f n ,d mu le limsup n to infty int S f n ,d mu le int S limsup n to infty f n ,d mu ,. math Here the limit inferior and the limit superior of the f sub n sub are taken pointwise. The integral of the absolute value of these limiting functions is bounded above by the integral of g . Since the middle inequality for sequences of real numbers is always true, the directions ... by g , hence integrable. The first inequality follows by applying Fatou s lemma to the non negative ... integral linearity of the Lebesgue integral . The last inequality is the Fatou s lemma Reverse Fatou lemma reverse Fatou lemma . Since g also dominates the limit superior of the f sub n sub , math 0 ... id 3679 title Fatou Lebesgue theorem Category Theorems in real analysis Category Theorems in measure ... more details
Fatou N Diaye born June 23, 1962 in Dakar , Senegal is a French basketball player.N Diaye has had 75 selections on the French national women s basketball team from 1986 1990 . References http www.ffbb.com dtn historique fichier.php?id jou &nom N DIAYE 20&prenom Fatou sports reference federation francaise de basket ball Persondata NAME Ndiaye, Fatou ALTERNATIVE NAMES SHORT DESCRIPTION French basketball player DATE OF BIRTH June 23, 1962 PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Ndiaye, Fatou Category French women s basketball players Category French people of Senegalese descent Category Living people Category 1962 births ... more details
orphan date May 2009 Notability date March 2009 Fatou Niang Siga was born in 1932 and is a Senegalese author and schoolteacher. She is a Mouride Muslim and has made hajj to Mecca twice. Like her mother she is married and has twelve children. Her writing has revolved around her native Saint Louis, Senegal . Bibliography lang fr Reflets de modes et traditions saint louisiennes Reflections of the fashions and traditions of Saint Louis . Dakar Khoudia, 1990. 141p. . Essay. External links http www.arts.uwa.edu.au AFLIT NiangSigaFatouEng.html UWA Persondata Metadata see Wikipedia Persondata . NAME Siga, Fatou Niang ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 1932 PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Siga, Fatou Niang Category 1932 births Category Living people Category Senegalese writers Category People from Saint Louis, Senegal Category Senegalese Muslims Category Senegalese women writers Senegal bio stub Africa writer stub ... more details
Fatou Ndiaye Sow 1956 2004 was a Senegal ese poet, teacher and children s writer. Many of her books were about Children s rights movement children s rights and were published with the support of UNICEF and the Senegalese government. Writing Her books include Fleurs du Sahel Nouvelles Editions Africaines du S n gal 1990 , ISBN 2723610632 Takam Tikou j ai devin N.E.I., 1997 Comme Rama, je veux aller l cole Nouvelles Editions Africaines du S n gal 2003 ISBN 2 7236 1460 3 see http www.ibby.org index.php?id 612&user exhibition pi1 5BshowUid 5D 45&cHash 7de7df98df Further reading Veronique Tadjo, Talking Drums A Selection of Poems from Africa south of the Sahara , Bloomsbury USA Children s Books 2004 , ISBN 1582348138 References http www.arts.uwa.edu.au AFLIT NdiayeSowFatouEng.html University of Western Australia http www.senegal online.com francais culture ecrivains.htm CRIVAINS S N GALAIS in French http www.aps.sn articles.php?id article 526&PHPSESSID 0f2dfa5593dd6a9787431d1ed58a00a8 Agence de Presse S n galaise, 2004 in French Persondata Metadata see Wikipedia Persondata . NAME Sow, Fatou Ndiaye ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 1956 PLACE OF BIRTH DATE OF DEATH 2004 PLACE OF DEATH DEFAULTSORT Sow, Fatou Ndiaye Category Senegalese writers Category Children s writers Category 2004 deaths Category 1956 births Category Article Feedback 5 Africa writer stub fr Fatou Ndiaye Sow ... more details
Fatou Bintou Fall born 23 August 1981 in Tivaonane is a female track and field athlete from Senegal , who mainly competes in the 400 metres . She set her personal best at the 2004 African Championships in Athletics 2004 African Championships , claiming the gold medal 50.62 seconds. Major competitions record AchievementTable Event yes 2001 2001 World Championships in Athletics World Championships Edmonton, Canada 11th h 4x400 m relay 2003 World Championships in Athletics Women s 4 x 400 metres relay 3 30.03 rowspan 3 2003 Athletics at the 2003 All Africa Games All Africa Games Abuja, Nigeria bgcolor gold 1st 400 m 51.38 rowspan 2 2003 World Championships in Athletics World Championships rowspan 2 Paris, France 28th h 400 m 2003 World Championships in Athletics Women s 400 metres 52.35 8th 4x400 m relay 2003 World Championships in Athletics Women s 4 x 400 metres relay DQ rowspan 3 2004 2004 African Championships in Athletics African Championships Brazzaville , Republic of Congo bgcolor gold 1st 400 m 50.62 rowspan 2 Athletics at the 2004 Summer Olympics Olympic Games rowspan 2 Athens, Greece 12th sf 400 m Athletics at the 2004 Summer Olympics Women s 400 metres 51.21 16th h 4x400 m relay Athletics at the 2004 Summer Olympics Women s 4 x 400 metres relay 3 35.18 rowspan 4 2005 Athletics at the 2005 Summer Universiade Universiade Izmir, Turkey bgcolor silver 2nd 400 m 51.33 rowspan 2 2005 World Championships in Athletics World Championships rowspan 2 Helsinki, Finland 20th sf 400 m 2005 World Championships in Athletics Women s 400 metres 52.35 9th h 4x400 m relay 2005 World Championships in Athletics Women s 4 x 400 metres relay 3 29.03 Athletics at the 2005 Jeux de la Francophonie ... . NAME Fall, Fatou Bintou ALTERNATIVE NAMES SHORT DESCRIPTION Athletics sport competitor DATE OF BIRTH 23 August 1981 PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Fall, Fatou Bintou ... athletics bio stub fr Fatou Bintou Fall ... more details
In mathematics , if math f P z Q z math is a rational function defined in the extended complex plane , and if math max deg P , , deg Q geq 2, math then for a periodic connected component analysis component math U math of the Fatou set , exactly one of the following holds math U math contains an attracting periodic point math U math is parabolic math U math is a Siegel disc math U math is a Herman ring . One can prove that case 3 only occurs when f z is analytically conjugate to a Euclidean rotation of the unit disc onto itself, and case 4 only occurs when f z is analytically conjugate to a Euclidean rotation of some Annulus mathematics annulus onto itself. Examples File Parabolic julia set c 1.125 0.21650635094611 i.png right thumb Parabolic Julia set File Quadratic Golden Mean Siegel Disc Average Velocity Gray.png right thumb Siegel disc Attracting periodic point File Fatou componenets 3.png right thumb Interior of Julia set contains periodic Fatou components marked with different colors The components of the map math f z z z 3 1 3z 2 math that contains the attracting points that are the solutions to math z 3 1 math . This is because the map is the one to use for finding solutions to the equation math z 3 1 math by Newton Raphson formula. The solutions must naturally be attracting fixed points. Herman ring File Herman Standard.png right thumb image of Julia set of a rational function which possess a Herman ring The map math f z e 2 pi i t z 2 z 4 1 4z math and t 0.6151732... will produce a Herman ring. ref citation first John W. last Milnor authorlink John Milnor title Dynamics in one complex variable year 1990 arxiv math 9201272 ref It is shown by Shishikura that the degree of such map must be at least 3, as in this example. References Lennart Carleson and Theodore W. Gamelin, Complex Dynamics , Springer 1993. Alan F. Beardon Iteration of Rational Functions , Springer 1991. references See also No wandering domain theorem Category Fractals Category Limit sets Categ ... more details
otheruses Wiktionary PierrepierrePierre is a masculine given name. It is a French form of the name ... Origin and Meaning of Pierre ref it can also be a surname and a place name . Pierre originally means ... Latin petra . See also Peter first name Peter . Persons with the given name Pierre Joseph Proudhon ... theory Pierre B zier , an engineer and mathematician known for his work with B zier curves Pierre Bezukhov , a major character in Tolstoy s War and Peace Pierre Boulez , a French classical and electronic composer Pierre Bourgault , a public speaker, journalist and politician famed for his work for Quebec Independence from Canada Pierre Bouvier , a lead singer for Simple Plan Pierre Caille disambiguation Pierre Capretz , a host of French in Action Pierre Cardin , a French fashion designer Pierre Chambrin , a White House Executive Chef Pierre Clostermann , a French pilot who fought in World War II for the RAF Pierre Corr ia , a French rugby union player Pierre Curie , a French physicist and husband of Marie Curie Peter of Maricourt Pierre de Maricourt 13th century , a writer on magnetism and astrolabes Pierre Escargot , a French teacher from All That Kenan Thompson Pierre de Fermat , a French lawyer and mathematician Pierre Fourier , a Catholic saint and French priest Pierre Gar on , a wide receiver for the Indianapolis Colts Pierre Gemayel , a politician, founder of Al Kataeb party in Lebanon Pierre Gagnaire , a French chef Pierre Harmel 1911 2009 , a former Belgian Prime Minister Pierre Henry , a French musician Pierre Hermans , a Dutch field hockey goalkeeper Pierre van Hooijdonk , a Dutch footballer Pierre Jeanpierre , a French soldier Pierre Levasseur disambiguation Pierre Morel , French film director Pierre Pilote , ice hockey player Pierre Poilievre , Canadian federal MP for the riding of Nepean Carleton Pierre Roger swimmer , French swimmer Pierre Salinger , Press Secretary to US President John F. Kennedy Pierre Schaeffer , a French experimental musician Pierre Shammassian ... more details
name The Pierre logo logo width image The Pierre Facade.jpg image width 300px caption The facade of The Pierre ... website footnotes The Pierre is a luxury hotel located at 2 61st Street Manhattan East 61st Street ... York City Landmarks Preservation Commission . History File Pierre Hotel from Central Park South.jpg thumb 187px left The Pierre rises over Central Park Charles Pierre Casalasco left his father s restaurant in Ajaccio , Corsica , where he had started as a busboy, ref Casalasco and the founding of The Pierre ... the City Review . ref assumed Charles Pierre as his full professional name, and began work at the Hotel ... Anglais, and Charles Pierre as rubbing shoulders with the Russian grand dukes and European royalty who patronized his father s hotel. ref Pierre went on to study haute cuisine in Paris, and he later traveled to London where he met the American restaurateur, Louis Sherry , who offered Pierre a position. After Pierre arrived in New York as a 25 year old immigrant, he made his first mark as first assistant ... it in his restaurant, an irritating, old fashioned prohibition, Pierre thought, and, after flights of heated words he left. Simon 1978 . ref Pierre left, first for the Ritz Carlton on Madison Avenue at Forty ... Avenue, and finally at Pierre s on Park at 230 Park Avenue. At the height of his success, dissatisfied with the increasing democratization of public manners, Pierre sold his restaurant and entered a joint ... of Elbridge Gerry , the inventor of gerrymandering . ref Simon 1978. ref The 714 room Pierre Hotel that rose ... the gala dinner that marked the opening of The Pierre it was prepared by August Escoffier , the father of French chefs , who served as a guest chef at The Pierre in its early years. As markets continued to collapse during the Great Depression , The Pierre went into bankruptcy in 1932. The oilman ... in the building. Image PIERRE Hotel TheRotunda.jpg thumb 225px right The Rotunda The Pierre was the scene of the Pierre Hotel Robbery in 1972. Today, the hotel contains 189 guest accommodations ... more details
Pierre Bonnet may refer to Pierre Ossian Bonnet , French mathematician Pierre Bonnet naturalist , French arachnologist Pierre Bonnet boxer , French boxer hndis Bonnet, Pierre de Pierre Bonnet ... more details
Pierre Cartier may refer to Pierre Cartier jeweler 1878 1964 Pierre Cartier mathematician born 1932 Pierre Cartier composer born 1953 hndis Cartier, Pierre de Pierre Cartier ... more details
Pierre Brunet may refer to Pierre Brunet figure skater , Olympic champion pair skater Pierre Brunet rower , Olympic bronze medalist rower hndis Brunet, Pierre fr Pierre Brunet pt Pierre Brunet sl Pierre Brunet ... more details
Pierre Langlois may refer to Pierre Langlois economist Pierre Langlois canoer Pierre Langlois politician 1750 1830 , politician in Lower Canada hndis Langlois, Pierre ... more details
Pierre Lepautre may refer to Pierre Lepautre 1648 1716 , French engraver, who played a role in the development of rococo Pierre Lepautre 1659 1744 , French sculptor hndis Lepautre, Pierre fr Pierre Lepautre nl Pierre Lepautre ... more details
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