61. Link Into The Living Music Commmunity Of Musicians Paul Winter Hidrogen feature (in catalan); Concert review - concert in support of Bat 1970-78)Erik FRIEDLANDER(cellist with the Consort, 1990's) eugene FRIESEN (Living http://www.livingmusic.com/community/musicians.html

THE LIVING MUSIC COMMUNITY OF MUSICIANS Links for Paul Winter, the Paul Winter Consort, Living Music Artists and Friends PAUL WINTER'S WORLD OF LIVING MUSIC: 22 Years Celebrating the Creatures and Cultures of the Earth NEWS PAUL WINTER STORE SOLSTICE ... Contact Us LINK INTO THE LIVING MUSIC COMMUNITY OF MUSICIANS Paul Winter Paul Winter Consort Consort Players, Consort and Sextet 'Alumni' Guest Artists ... Recordings by Members of the Community PAUL WINTER 'Changing seasons with Paul Winter' - interview by Carol Wright for 'New Age Voice' A Winter's Tale by Terry Breen for 'Northwestern Magazine' Interview by Stephan Ide for 'Dirty Linen' Interview by Seth Rogovoy Interview by Tom Knapp for 'Rambles' Interview by Tom Knapp for 'Rambles' (April '99) About Paul Winter at 'Amazing Sounds' in Spanish in English at livingmusic.com biography at livingmusic.com career milestones at livingmusic.com discography at livingmusic.com Argus links to Paul Winter All Media Guide imusic's bulletin board about Paul Winter Top of Page PAUL WINTER CONSORT Hidrogen - feature (in Catalan) Concert review - concert in support of Bat Conservation International Concert review - in 'Rambles' Review of Winter Solstice Celebration Top of Page EXPLORE PAUL WINTER'S WORLD OF LIVING MUSIC: Site Map Store Special Offers Concert Calendar Solstice Index Music Artists Paul Winter Community Questions Contact Us Search Free Draw http://www.livingmusic.com/sitemap.html

62. NEW FROM KLAVIER K 11124 RECOLLECTIONS NORTH TEXAS WIND SYMPHONY eugene Corporon, Conductor ELLERBYParis Sketches 3 Clarinet Quintet The Mobile Quartet catalan Concertante. http://www.klavier-records.com/new.htm

NEW ISSUES FROM KLAVIER! K 11130 ALFRED REED LIVE! NOW AVAILABLE! Volume 4: Acclamation! The Hounds of Spring Music in the Air! (Premiere Recording) Joyeux Noel Canto e Camdombe (Premiere Recording) Children's Suite (Premiere Recording) Acclamation! (Premiere Recording) A Festival Prelude Suite No. 2 Go to Secure Order Form K 11133 CAPRICE NOW AVAILABLE! Susann McDonald, harp GODEFROID: Romance sans Paroles (Bois solitaire) TOURNIER: Vers la source dans le Bois TOURNIER: Le Annesses grises sur la route d'El-Azib Go to Secure Order Form K 11131 SOUSA USAF HERITAGE OF AMERICA BAND Colonel Lowell Graham, Conductor Easter Monday on the White House Lawn Tally Ho! - Overture The Last Days of Pompeii The High School Cadets Manhattan Beach Solid Men to the Front! Jack Tar The Beau Ideal Mother Hubbard Wolverine The Gallant Seventh The Directorate The Gladiator Sabre and Spurs Flags of Freedom The Rifle Regiment Hands Across the Sea El Capitan - March and Waltzes La Reine de la Mer Waltzes Go to Secure Order Form K 11129 BRASS CATS - The Brass Music of Chris Hazell THE DENVER BRASS Cat Suite Interval Music Peter Go Ring-a Dem Bells Three More Cats Play for a Play The Gospel Hall Go to Secure Order Form K 11127 SYMPHONIC EXCURSIONS NORTH TEXAS WIND SYMPHONY Eugene Corporon, Conductor

63. Sir Isaiah Berlin - Bibliography in Musical Times 121 (1980), 163–8, and eugene Onegin (Oxford catalan, French,Hebrew, Italian, Japanese, Korean, Portuguese; 149 Contribution to John http://berlin.wolf.ox.ac.uk/lists/bibliography/bibliography8.html

The Isaiah Berlin Virtual Library Home Tribute Search S I R I S A I A H B E R L I N Home B I B L I O G R A P H Y 117 Foreword to R. D. Miller, Schiller and the Ideal of Freedom: A Study of Schiller’s Philosophical Works with Chapters on Kant (Oxford, 1970: Clarendon Press), v 118 ‘Benjamin Disraeli, Karl Marx, and the Search for Identity’, in Transactions of the Jewish Historical Society of England 22 (1968–9) (London, 1970: Jewish Historical Society of England); repr. in Midstream 16 No 7 (August–September 1970), 29–49, and AC ; trans. French, Hungarian, Lithuanian, Spanish 119 ‘Weizmann as Exilarch’, in Chaim Weizmann as Leader (Jerusalem, 1970: Hebrew University of Jerusalem), 13–21; trans. Hebrew 120 Sir Maurice Bowra, 1898–1971 (Oxford, [1971]: Wadham College), 10 pp.; repr. as ‘Memorial Address in St Mary’s’ in Hugh Lloyd-Jones (ed.), Maurice Bowra (London, 1974: Duckworth), and as ‘Maurice Bowra’ in PI 121 ‘Georges Sorel’, Creighton Lecture, Times Literary Supplement , 31 December 1971, 1617–22; repr. in expanded form in Chimen Abramsky (ed.)

64. Uppsatsämnen I Kurs 5B1204 [Matematik, KTH] Dessa tal kallas catalantal efter matematikern eugene catalan och räknar väldigtmånga kombinatoriska objekt, bland annat de datalogiskt viktiga objekten http://www.math.kth.se/~kimmo/D2/uppsatser.html

Uppsatser i kurs 5B1204, Diskret matematik Vad ska uppsatsen innehålla? Du ska läsa in ett område och presentera det i en uppsats på 2000 till 3000 ord skriven i Word eller TEX. För att ha något att bygga upp uppsatsen kring ska du själv formulera ett problem i vardagliga termer, modellera det matematiskt och lösa det med hjälp av den matematik du har läst in. Du gör själv disposition av din uppsats, men det krävs att den inleds med en introduktion där problemet formuleras och (åtminstone en antydan om) svaret ges, samt att den avslutas med en slutsats där du kort sammanfattar vad du har sagt och förtydligar samspelet mellan den studerade matematiken och det aktuella problemet. Däremellan ska du på ett så klart och enkelt, trevligt och läsvärt sätt som möjligt modellera problemet matematiskt, presentera den matematik du behöver för att lösa problemet och sedan presentera lösningen. Förslag till uppsatsämnen Sjutton förslag till uppsatsämnen ges nedan. Kom ihåg att ni gärna får skriva på engelska istället för på svenska om ni hellre vill öva på det! Kraven på stil och språklig korrekthet blir då något lägre men övriga krav (på förståelighet, disposition, originalitet, matematisk korrekthet etc.) är naturligtvis oförändrade. Planaritet och Kuratowskis sats Eulerstigar och eulercykler Hamiltonstigar och hamiltoncykler Catalantal och antalet binära träd ... Cykliska koder Vidare är ni välkomna att föreslå egna områden för uppsatser men de måste godkännas av Kimmo i förväg. Säg till Kimmo om ni har svårt att hitta litteratur. Det är ofta värt att söka på webben.

65. MATHEM-L Translate this page 1867 LE ROY A *Cote 60655 *Tome 3 *Nø 6 NOTICE SUR eugene CHARLES catalan,PROFESSEUR D'ANALYSE AL'UNIVERSITE DE LIEGE- 5 p.- (Ext. http://www.societes-savantes-toulouse.asso.fr/sciences/MATHEM-L.HTM

MELANGES ** 1 LEAUTE H. *Cote 60654 *Tome 1 LETS OVER DE QUADRATUUR VAN SIMON VAN DER EYCKE EN HARE GEVOLGEN- (Ext. Archief van het Wiskundig Genootschap) OVER EENIGE BEPOOLDE INTEGRALEN PREUVE PAR 9 DE L'ADDITION ET DE LA SOUSTRACTION - (Montaubin Imp.) Toulouse NOTICE SUR LA MESURE DES MASSES EN ASTRONOMIE- 53 p. + fig.-(Gauthier-Villars Imp.) Paris ** 1 N *Cote 60654 *Tome 28 SUR LE JEU DE DES- 23 p. Amsterdam NOTICE SUR DES INTEGRALES - 29 p. Amsterdam MEMOIRE SUR LA TRANSFORMATION ET L'INTEGRATION D'UNE CLASSE D'EQUATIONS DIFFERENTIELLES SIMULTANEES A PLUSIEURS VARIABLES -14 p. SUR QUELQUES TRANSFORMATIONS D'INTEGRALES DEFINIES -12 p. SUR LA SOMME DES PUISSANCES SEMBLABLES DES NOMBRES NATURELS- 6p.-(Ext.Nouv. Ann. de Math.,T. 15 - (Mallet-Bachelier Imp.) Paris NOTE SUR LA SOMMATION DE CERTAINES SERIES- 3p.-(Ext.Nouv. Ann. de Math.,T. 15 - (Mallet-Bachelier Imp.) Paris SUR LES PROBLEMES DE LA SPHERE TANGENTE A QUATRE PLANS DONNES - 10 p.+ fig.- (Ext. des Nouvelles Ann. de Math. T IX) ADDITION A UN MEMOIRE INTITULE- THEORIE MATHEMATIQUE DES OSCILLATIONS DU BAROMETRE ET RECHERCHE DE LA LOI DE LA VAFRIATION MOYENNE DE LA TEMPERATURE AVEC LA LATITUDE. Cherbourg

66. Translate - Avant Browser, A Tabbed Browser (multi-window) With Popup Stopper, C Arabic by zeysan. Bulgarian by Rafael Hachikyan, eugene Klein YordanMilenkov. catalan byPau Bosch i Crespo. Chinese Simplified by kukuasir. http://www.avantbrowser.com/translate.html

Home FAQ New Download ... Promote Translate Translate Avant Browser Did you find some errors of translation in Avant Browser? If so, I would appreciate it if you can fix the error and send the new translation to me. The translation of your language will be found in the following path: Do you know a language other than those languages listed bellow? Would you like Avant Browser to be available in your language? Please help me make it happen. Arabic by zeysan Bulgarian Catalan byPau Bosch i Crespo Chinese Simplified by kukuasir Chinese Traditional by ROVER Croatian Czech by Libor Ansorge Danish by Allan Evers Dutch by Marien Grashoff English Finnish by Ari Huhtamies French by Stphane German Greek by Kyriakos Heliadis Hebrew Hungarian by Mihly Tibor Italian Japanese by ENOMOTO, Daisuke Korean by Song Ki Hwan Norwegian by Marius Kaase Polish Portuguese by Carlos Russian by Anton Lykov Serbian by Sabonny Slovak by Jozef Chudy nkd Slovenian by Samo Hajtnik Spanish by Ricardo Camargo Spanish (Uruguay) by Salu2 Eduardo Swedish by Mattias Olander Thai by Peter Cherry Turkish Ukrainian by Andriy Slezenko You simply need to translate a .lng file. Please right-click the following link and click [Save Target As...] to download the .lng file.

67. Ozgur Politika Almanya Paderborn Üniversitesi kripto sistemleri uzmani Dr. Preda Mihailescu,Fransiz matematikçi eugene Charles catalan'in (18141894) 1844 yilinda http://www.ozgurpolitika.org/2002/06/16/alldis.html

16-Haziran 2002 Pazar Hedef Kürtçe'nin geliþtirilmesi Kürdistan Öðretmenler Birliði, 8. kongresinde Kürtçe dilinin geliþmesi için birçok önemli karar aldý. Ayrýca Kürt dilinin geliþimi için YMK'ye büyük görevler düþtüðü dile getirildi. ERDAL ALIÇPINAR Kürdistan Öðretmenler Birliði (YMK), dün, Almanya'nýn Wuppertal kentinde 8. olaðan kongresini gerçekleþtirdi. Kongrede, YMK'nin önümüzdeki dönem çalýþmalarý için önemli kararlar alýndý. YMK 8. kongresinin açýlýþ konuþmasýný Baþkan Xiyasedin Zaroj Sterk yaptý. Sterk konuþmasýnda, ulusal çýkarlar doðrultusunda dil ve eðitim sorununu çözmek için biraraya gelerek, örgütlenmek gerektiðine inandýklarýný dile getirdi. Sterk, "Kürt öðretmenlerine çaðrýmýz, gelsinler beraber örgütlenelim, bu iþi götürelim. Ayrý ayrý yerlerde durmanýn Kürt halkýna ve mücadelesine bir yararý yoktur" dedi. YMK Baþkaný'nýn konuþmasý ardýndan divan seçimine gidildi. Gündemin belirlenmesinden sonra sözü KNK üyesi Hacý Ehmedî aldý. Ehmedi konuþmasýnda, gelinen süreçle birlikte Kürt öðretmenlere daha büyük görevler düþtüðünü belirterek, "Bir insanýn ruhu dilidir ve halklarýn varlýðýný saðlayan dili, kültürüdür" dedi. Kürtlerin kendi mücadelesi için çok bedel ödediðini ve gelinen aþamada artýk her yerde kendi istem ve taleplerini dile getirdiðini söyleyen Ehmedî, halklarýn yaþamýný belirleyenin dil olduðunu, kendi dilini yaþatmayan halkýn da yok olacaðýný belirtti. Bu nedenle Kürt öðretmenlere büyük sorumluluk düþtüðünü ifade ederek, Kürdistan'ýn dört parçasýnda bulunan öðretmenlerin bir çatý altýnda toplanmasý gerektiðini dile getirdi.

68. Mathematik.de 1. 1844 hat der französische Mathematiker eugene Charles catalan (1814-1894 http://www.mathematik.de/01aktuelles/s1_2/archiv/archiv4.htm

Mathematik in der "ZEIT": Das Buch der Beweise Am 13. 6. 2002 widmete die "ZEIT" eine ganze Seite der Mathematik. Es geht um das "BUCH der Beweise" von Aigner und Ziegler, das auch hier in www.mathematik.de besprochen wurde (es gibt eine Rezension der deutschen und der englischen Ausgabe.) Der Artikel von Wolfgang Blum ist bemerkenswert sachkundig und gut lesbar geschrieben. Empfehlung der Redaktion: unbedingt lesen! ,,Telepolis'' Zusatz Prof. Ziegler (TU Berlin): Rede nachlesen, wenn Sie - auf der Homepage des Ministeriums angekommen - die Mathematik-Rede anklicken. 10000 Euro zu gewinnen: ein Experiment zur Spieltheorie Teilnahmebedingungen an. Catalan-Vermutung bewiesen Paderborner Wissenschaftler löst 150 Jahre altes mathematisches Problem: Catalans Vermutung ist jetzt bewiesen. Nachtrag: Mitte Juni wurden wir noch auf einen interessanten Artikel zu diesem Thema aufmerksam gemacht. ... und am 1. Juli gab es dazu sogar einen Beitrag im SPIEGEL Erinnern Sie sich? Vor einigen Jahren wurden durch die Versteigerung der UMTS-Lizenzen einige Milliarden DM eingenommen. Ein Teil davon floss zur DFG, die damit mehrere Forschungszentren finanzieren wollte. ,,Modellierung und Simulation in den Ingenieur-, Natur- und Sozialwissenschaften''.

69. Search Results For Liouville in a new window) eugene catalan was in Liouville's class at Ecole Polytechniquein 1833 but was expelled from the Ecole Polytechnique the following year. http://www-gap.dcs.st-and.ac.uk/~history/Search/historysearch.cgi?SUGGESTION=Lio

70. Tirant Lo Blanc: Bibliography Bibliografia sobre el Tirant i sobre la novela medieval proposada per la secció de Filologia Romànica Category World Català Arts i cultura Literatura Bibliografia...... London Hutchinson, 1973. Vinaver, eugene. The Rise of Romance. of HispanicStudies, Univ. of Sheffield, 1980. 198 pp. * Return to catalan Homepage http://www.lib.berkeley.edu/~catalan/Assignments/tirantbiblio.html

Tirant lo Blanc: Bibliography Bibliography on medieval romance and Tirant lo Blanc Chivalry and Literature Benson, Larry D., and John Leyerle, eds. Chivalric Literature. Essays on Relations between Literature and Life in the Later Middle Ages. Toronto and London: Univ. of Toronto Press, 1980. Gómez Moreno, Ángel. "La caballería como tema en la literature medieval española: Tratados teóricos." In: Homenaje a Pedro Sáinz Rodríguez, 2:311-23. Madrid: Fundación Universitaria Española, 1986. Jackson, W. H., ed. Knighthood in Medieval Literature. [Woodbridge, Suffolk]: D.S. Brewer, 1980. Keen, Maurice. Chivalry. New Haven: Yale University Press, 1984. Romance Deyermond, A.D. "The Lost Genre of Medieval Spanish Literature." HR 43 (1975): 231-59. Frye, Northrop. The Secular Scripture. A Study of the Structure of Romance. Cambridge, MA, and London: Harvard Univ. Press, 1976. Stevens, John. Medieval Romance: Themes and Approaches. London: Hutchinson, 1973. Vinaver, Eugene. The Rise of Romance. 2 ed. Cambridge: D.S. Brewer; Totowa, NJ: Barnes and Noble, 1984 (lst ed. 1971). Tirant lo Blanc Aylward, Edward T. Martorell's Tirant lo Blanch: A Program for Military and Social Reform in Fifteenth-Century Christendom. Chapel Hill: U of North Carolina P, 1985. 223 pp. Series: North Carolina Studies in Romance Languages and Literatures, Chapel Hill, NC. "Tirant lo Blanch and the Artistic Intent of Joanot Martorell." Hispanófila 28.2 (83) (1985): 23-32.

71. Marxists Internet Archive Updates Currently the index only holds the start of the catalan version Encyclopedia of 2October, 2001 The eugene V. Debs Internet Archive keeps growing by leaps and http://www2.cddc.vt.edu/marxists/admin/new/archived/2001/oct-nov.htm

Marxists Internet Archive: Archive updates To receive the Marxists Internet Archive weekly update newsletter, enter your e-mail address: October/November, 2001: Marxists CD 2002 ready for production by the end of November. Information on ordering the CD is available at the link above. 19 November, 2001: Texts added to the Archivo Nahuel Moreno [Thanks to Biblioteca Digital Nahuel Moreno Tesis sobre el Frente Unico Revolucionario Tesis sobre el guerrillerismo Ser trotskista hoy 15 November, 2001: The Franz Mehring Internet Archive has uploaded On Historical Materialism from this Marxist philosopher. [Thanks to Andy Blunden] 13 November, 2001: The massive Hegel Internet Reference Archive has added Hegel's Lectures on Aesthetics [Thanks to Andy Blunden] 12 November, 2001: Work has started on the Natalia Sedova Trotsky Internet Archive . Currently there are several articles up spaning 1939 through 1961. A biography and photos are due soon. [Thanks to R. Furguson] 7 November, 2001: We are proud to announce the start of several new archives in the Spanish-language Section: Archivo Tony Cliff [Thanks to Izquierda Revolucionaria of Barcelona, Spain]

72. A Tribute To Eugène Schmidt, A Catalan Painter, 1904 - 1985 By M. GOZE Translate this page A tribute to Eugène Schmidt a catalan painter, his life and works (still lives, nude studies, landscapes and miscellanous paintings) by M. GOZE http://perso.wanadoo.fr/axolotl/1index.htm

73. Catalan Biography of Eugène catalan (18141894) Eugène Charles catalan. Born 30 May 1814 in Bruges, Belgium http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Catalan.html

Born: 30 May 1814 in Bruges, Belgium Died: Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index was in Liouville With Liouville 's help he obtained a lectureship in descriptive geometry at Ecole Polytechnique in 1838 but his career was damaged by being very politically active with strong left-wing political views. Catalan published extensively on continued fractions and number theory He defined the numbers, called today the Catalan numbers, while considering the solution of the problem of dissecting a polygon into triangles by means of non-intersecting diagonals. Catalan was not the first to solve the problem, however, since Segner had solved it in the 18 th century, although his solution was not as elegant as Catalan's. Euler had worked on simplifying the solution to the problem as did Binet at almost the same time as Catalan, around 1838. Article by: J J O'Connor and E F Robertson Click on this link to see a list of the Glossary entries for this page List of References (4 books/articles) Mathematicians born in the same country Other references in MacTutor Catalan numbers Other Web sites Catalan's constant Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index History Topics Societies, honours, etc.

74. C'est Du Belge ! - Eugène Charles Catalan Branch of Science " Mathematicians Nationality " Belgian catalan, Eugène Charles (18141894) Belgian mathematician who founded Nouvelle correspondence mathématique in 1874. His name is also associated with the catalan numbers, which are http://www.califice.net/belge/notes/catalan.html

belge Son nom est resté attaché, en théorie des nombres, à des conjectures encore indémontrées et, en combinatoire, à une suite d'entiers dont on n'a pas fini d'évaluer les ramifications. On lui doit les "nombres de Catalan" et la "surface de Catalan". Liens : Surface de Catalan [Translate this page] Accueil Chocolat ... Tourisme Si vous avez d'autres infos, Homepage califice.net

75. Catalan Number The summary for this Korean page contains characters that cannot be correctly displayed in this language/character set. http://203.249.8.96/mathematica/00_5/catalan/main.htm

Eugene Catalan ¡× Catalan Number n+2 ø¸éÀ¸·Î µÈ ´Ù°¢ÇüÀ» n »ï°¢Çüµé·Î ÀÚ¸¦ ¼ö ÀÖ´Â ¹æ¹ýÀÇ ¼ö n +1·Î ³²°ÜÁö´Â planar binary treesÀÇ ¼ö ±æÀÌ 2nÀ» ÅëÇؼ­ n-by-n·Î ÇâÇϴµ¥ ÁÖ¿äÇÑ ´ë°¢¼±À» ³ÑÁö ¾Ê´Â °æ·ÎÀÇ ¼ö Mathematica 3.0 code to create Catalan polygon diagrams ... code

76. Dict Équation De Catalan Dictionnaire de mathématiques récréatives catalan Eugène Charles (18141894) ° Équation de catalan. Équation diophantienne de la forme xp - yq = 1 où x, y, p, q sont des entiers tous supérieurs à l'unité. http://www.recreomath.qc.ca/dict_catalan_equation.htm

Page d'accueil Banque de problèmes récréatifs Défis Détente ... Contactez-nous Dictionnaire de mathématiques récréatives Catalan Eugène Charles (1814-1894) Équation de Catalan Équation diophantienne de la forme x p y q = 1 où x y p, q sont des entiers tous supérieurs à l'unité. Catalan, un mathématicien belge, a énoncé une conjecture selon laquelle la solution serait unique : x y p q = 3. Robert Tijdeman a démontré que cette équation avait plutôt un nombre fini de solutions, mais on n'en a pas encore trouvé d’autres que celle de Catalan. Charles-É. Jean, 1996-2001. Tous droits réservés. Index : C

77. References For Catalan References for the biography of Eugène catalan P L Butzer and F Jongmans, Eugène catalan and the rise of Russian science, Acad. http://www-groups.dcs.st-and.ac.uk/history/References/Catalan.html

Articles: Acad. Roy. Belg. Bull. Cl. Sci. P Hilton and J Pedersen, Catalan numbers, their generalization, and their uses, Math. Intelligencer (Brussels, 1896), 115-172. Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR February 1997 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/References/Catalan.html

78. Dict Nombre De Catalan Dictionnaire de mathématiques récréatives catalan Eugène Charles (18141894) ° Nombre de catalan. Entier naturel de la suite 1, 1, 2, 5, 14, 42, 132, 429, 1430, 4 862, 16 796, http://www.recreomath.qc.ca/dict_catalan_nombre.htm

Page d'accueil Banque de problèmes récréatifs Défis Détente ... Contactez-nous Dictionnaire de mathématiques récréatives Catalan Eugène Charles (1814-1894) Nombre de Catalan. Entier naturel de la suite 1, 1, 2, 5, 14, 42, 132, 429, 1430, 4 862, 16 796, ... Le terme général de rang n est le produit de 2(2 n n et du terme du rang précédent, sauf lorsque n est égal à l'unité où le terme est 1 par définition. Cette suite a été définie par Catalan, un mathématicien belge. Euler (1707-1783) avait trouvé ces nombres en déterminant le nombre de façons de partager un polygone convexe quelconque en triangles sans qu'aucune diagonale se coupe. Charles-É. Jean, 1996-2001. Tous droits réservés. Index : C

79. Catalan Biography of Eugène Charles catalan (18141894) Eugène Charles catalan. Born 30 May 1814 in Bruges, Belgium http://sfabel.tripod.com/mathematik/database/Catalan.html

Born: 30 May 1814 in Bruges, Belgium Died: Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page Catalan was in Liouville With Liouville He defined the numbers, called today the Catalan numbers, while considering the solution of the problem of dissecting a polygon into triangles by means of non-intersecting diagonals. Catalan was not the first to solve the problem, however, since Segner had solved it in the 18 th century, although his solution was not as elegant as Catalan's. Euler had worked on simplifying the solution to the problem as did Binet at almost the same time as Catalan, around 1838. References (4 books/articles) References elsewhere in this archive: For information about Catalan numbers see some pages by Robert M Dickau Other Web sites: Some information about Catalan's constant Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page History Topics Index Famous curves index ... Search Suggestions JOC/EFR February 1997

80. MathTrek: Zeroing In On Catalan's Conjecture, Science News Online, Dec. 23 & 30, Find an article written in December 2000 which tackles this wellknown unsolved mathematical concept. Named for Belgian mathematician Eugène Charles catalan, the conjecture concerns powers of whole numbers. http://www.sciencenews.org/20001223/mathtrek.asp

Home page. Math Trek Food for Thought Science Safari TimeLine 70 Years Ago in Science News Zeroing In on Catalan's Conjecture Fermat's last theorem is just one of many examples of innocent-looking problems that can long stymie even the most astute mathematicians. It took about 350 years to prove Fermat's scribbled conjecture, for instance. Now, Preda Mihailescu of the Swiss Federal Institute of Technology in Zurich has proved a theorem that is likely to lead to a solution of Catalan's conjecture, another venerable problem involving relationships among whole numbers. He presents his result in a paper to be published in the Journal of Number Theory "This is a very important contribution," says mathematician Andrew Granville of the University of Georgia in Athens. Mihailescu's work probably puts the resolution of Catalan's conjecture into the foreseeable future, he notes. Named for Belgian mathematician Eugène Charles Catalan, the conjecture concerns powers of whole numbers. For example, the sequence of all squares and cubes of whole numbers begins with the integers 4, 8, 9, 16, 25, 27, and 36. In this sequence, 8 (the cube of 2) and 9 (the square of 3) are not only powers but also consecutive whole numbers. In 1844, Catalan asserted that, among all powers of whole numbers, the only pair of consecutive numbers that arises is 8 and 9. His conjecture amounts to a search for whole-number solutions to the equation

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