21. The Science Bookstore - Chronology catalan, eugene Born 5/30/1814 Died 2/14/1894, 1814 AD. Sylvester, James JosephBorn 9/3/1814, 1814 AD. Cutler, Hannah Born 12/25/1815 http://www.thesciencebookstore.com/chron.asp?pg=13

22. Week144 Well, the answer is called the (n1)st catalan number. but they re namedafter eugene catalan, who discovered their relation to binary trees. http://math.ucr.edu/home/baez/week144.html

January 21, 2000 This Week's Finds in Mathematical Physics (Week 144) John Baez Since this is the first Week of the new millennium, I'd like to start with a peek into the future. Not just the next hundred or thousand years, either - I'm sick of short-term planning. No, I'd like to talk about the next few billion years. As you've probably all heard, if we don't do anything about it, the Sun will turn into a red giant in about 5 billion years. If we get our act together, we should have plenty of time to deal with this problem. But when planning for the far future, it's dangerous to be too parochial! Events outside our solar system can also affect us. For example, a nearby supernova could be a real bummer. It wouldn't be the first time: it seems that about 340,000 years ago there was one only 180 lightyears away. At this distance it would have been as bright as a full moon, and its X-rays and gamma rays would have stripped off the Earth's ozone layer pretty badly for a while. A closer one could be a lot worse. How we do know about this supernova? It's an interesting story. We happen to live in a region of space called the Local Bubble, about 300 lightyears across, in which the interstellar gas is hotter and 5 to 10 times less dense than the surrounding stuff. People wondered about the origin of this bubble until they studied a pulsar called Geminga about 300 lightyears away from us. Pulsars are rapidly spinning neutron stars formed by supernovae, and by studying their spin rate and the rate their spin is slowing down, you can guess when they were formed. Geminga turns out to be about 340,000 years old. It's moving away from us at a known rate, so back then it would have been 180 lightyears away - in just about the right place for a supernova to have created a shock wave forming the Local Bubble.

23. CAMDEN BOOKS: CONTENTS PAGE PHILC1158, Author catalan, eugene, Price- £ 50. Title- TRAITE ELEMENTAIREDES SERIES More details . Book ID- PHILC1160, Author- CHASLES http://www.camdenbooks.com/indpage/PHILC1.html

E-Mail/Order:- suchcam@msn.com BAR - GOU GOU - MON MYL - YOS Book ID:- Author:- BARROW, ISAAC Price:- Title:- GEOMETRICAL LECTURES. TRANSLATED FROM THE LATIN EDITION, REVISED CORRECTED AND AMENDED BY THE LATE SIR ISAAC NEWTON AND BY EDMUND STONE, FRS More details.... Book ID:- Author:- BIOT, J. B. Price:- Title:- TRAITE ANALYTIQUE DES COURBES ET DES SURFACES DU SECOND DEGRE More details.... Book ID:- Author:- BRUNO, FAA CHEV. F. DE Price:- Title:- THEORIE DE FORMES BINAIRES More details.... Book ID:- Author:- BURHILL, J. C. Price:- Title:- THE LEBESGUE INTEGRAL More details.... Book ID:- Author:- CATALAN, EUGENE Price:- Title:- TRAITE ELEMENTAIRE DES SERIES More details.... Book ID:- Author:- CHASLES, M./ PRESENTATION COPY Price:- Title:- TRAITE DE GEOMETRIE SUPERIEURE More details.... Book ID:- Author:- COURNOT, A. A. Price:- Title:- TRAITE ELEMENTAIRE DE LA THEORIE DES FONCTIONS ET DU CALCUL INFINITESIMAL. More details.... Book ID:- Author:- CREMONA, L. Price:- Title:- ELEMENTS OF PROJECTIVE GEOMETRY.

24. CAMDEN BOOKS: CONTENTS PAGE Paris, Leiber et Faraguet, 1860, First Edition,......PHILC1158, Authorcatalan, eugene, Price- £50. Title-TRAITE ELEMENTAIRE DESSERIES. http://www.camdenbooks.com/pages/PHILC1158.html

E-Mail/Order:- suchcam@msn.com Contents page Book ID:- Author:-CATALAN, EUGENE Price:- Title:-TRAITE ELEMENTAIRE DES SERIES Description Paris, Leiber et Faraguet, 1860, First Edition, Half title, Title page, p. viii + 132. Ownership label on f.e.p. Contemp. Roan. V.G. Go back to the search list

25. More Word Origins 9 The function is named for eugene catalan of Belgium (18141894). The actualproblem catalan was working on was the decomposition of regular polygons into http://www.pballew.net/arithme9.html

Math Words, pg 9 Back to Math Words Alphabetical Index Affine Geometry is the study of measures that are preserved under a transformation that carries each point (x,y) to a new point (ax + cy + e, bx + dy + f). This is sometimes described as a parallel projection from one plane to another. Euler was one of the first to study affine geometry. In an affine geometry Euclid's third and fourth postulates no longer apply. The main root of affine comes from the Latin root finis for end or border. The prefix is a mutation of ad with the meaning near and the combination was used to mean sharing a common boundary. This was generalized to sharing a common interest of most any kind. Today affinity refers to an attraction of almost any kind. Axiom In the language of mathematics and logic, an axiom is a statement that is considered to be true without need for proof. The word is often used interchangeably with postulate . The origin comes from the Greek root axios for worthy. An axiom is something that is accepted as worthy of its own accord, without proof or risk of refutation. The root shares a common origin with words relating to leadership or influence such as agitate, agent, and examine. Some other words from this relationship include agony, which originally meant a great conflict or contest, and ambassador (one who is sent around). Although we often speak of Euclidean axioms or Euclidean postulates, math historian D.E. Smith has written that Euclid seems to have used a more general phrase meaning "common notion". Certainly he would have known of the word axiom as it was used by many of the ancient Greeks, including Aristotle.

26. Eugene catalan philosopher. Miscellaneous eugene of Savoy (16631736) A famous soldierwho served the Holy Roman Emperor. Eugenius Bulgaris (1716-1806) http://www.geocities.com/edgarbook/names/e/eugene.html

For many more names, please return to Edgar's Main Page. Eugene Gender : Masculine Language : English, French Etymology Eugene History Eugene was the name of several early popes and saints. Eugenio was farily popular in Italy, and spread to the rest of Europe after the fame of the Italian general, Prince Eugenio of Savoy (1663-1736). Pronunciation : YOU-jeen. Diminuitves Gene Alternates Czech Evzen Dutch Eugenius French German Eugen Hawaiian Iukini Hungarian Italian Eugenio Latin Eugenius Polish Eugeniusz Portuguese Romanian Eugen Russian Yevgeni Scottish Gaelic Ewane Spanish Eugenio Welsh Owen Owain Owein Owin Owyn Owynn Eoghan Feminine Eugenia See also: Eugene Owen Famous Bearers Artists and Authors French dramatist. French painter. (Marie-Joseph Sue) (1804-1857) French novelist. French architect. French playwright. French painter. French painter. French painter. Eugene Field American poet. French photograper. French dramatist. Belgian musician. French violinist. Belgian writer. Eugen Albert German composer.

27. Bibliography catalan, eugene Charles, 18141894, Melanges mathematiques, Bruxelles, M. Lemaire,1794-1827. Cataldi, Pietro Antonio, 1552-1626, Pratica aritmetica Data http://www.library.cornell.edu/math/bibliography/display.cgi?start=C&

28. Essentialist Explanations eugene Holman. catalan is essentially Spanish and French spoken at the same time.Michael Everson. catalan is essentially Spanish when you re not paying http://mercury.ccil.org/~cowan/essential.html

Essentialist Explanations 10.3rd edition This page comprises a list of 736 "essentialist explanations" of the form "Language X is essentially language Y under conditions Z". I have edited some entries for uniformity, clarity, or good English. The entries are grouped for convenience rather than correctness. In particular, fictional languages belonging to actual language families are grouped with their natural language relatives. New contributions are solicited , especially for American and African languages. No flames, please. "[We] do but jest, poison in jest, no offence in the world." Hamlet Index English (38 entries) English (Specific Varieties) (45 entries) ... (6 entries) English English is essentially bad Dutch with outrageously pronounced French and Latin vocabulary. Eugene Holman English is essentially Norse as spoken by a gang of French thugs. Benct Philip Jonsson English is essentially a bizarre dialect of Chinese, pronounced entirely in the first tone. John Cowan English is essentially any other language spoken with a very hot potato in one's mouth. English is essentially the language you speak without moving your mouth.

29. Tom Gettys - Dual Of A Polyhedron The Archimedean duals are also known as the catalan polyhedra, after the Frenchmathematician eugene catalan, who first described them in 1865. http://home.comcast.net/~tpgettys/duals.html

Dual of a Polyhedron For every polyhedron there is another polyhedron that is intimately connected to it, that is uniquely defined by it. This related polyhedron is called the Dual Polyhedron Let me jump ahead here and tell you a little bit about how a polyhedron and its dual are related. A polyhedron P and its dual P* have the same number of edges, but the roles of the vertices and faces are reversed. That is, P* has as many faces as P has vertices, and vice versa. Also, if P is a polyhedron and P* is its dual, it turns out that the dual of P* is P ; that is, (P*)* = P . This is reminiscent of the fact that every (nonzero) number has a unique inverse, and each is the inverse of the other. In fact, the dual of a polyhdron is sometimes called the reciprocal polyhedron! Let's go back now and see how the dual of a polyhedron P is derived. There are three steps: Put a point in the center of every face of P ; these are the vertices of P* If two faces of P share an edge, connect the center points of those two faces; these are the edges of P* Now just color the faces of the new polyhedron and erase the original.

30. Number Theory At UBC 415500, Ron Ferguson (MITACS/SFU/UBC) catalan s Conjecture II. Abstract Anold problem, dating back at least to eugene catalan in the 19th century, http://www.math.ubc.ca/~gerg/NT/Fall2002semester.html

SFU/UBC Number Theory Seminar Fall Semester 2002 Thursday, September 12, 2002 PIMS Seminar Room (West Mall Annex 216), UBC Campus Colin Graham (University of British Columbia) Which subsets of the roots of unity are Sidon in the plane? Abstract: The motivating question is this: how does the multiplicative structure of the roots of unity relate to the additive structure of the complex plane? More specifically, what subsets of the roots of unity are Sidon sets (that is, have no repeated pairwise sums) in the discrete plane? The approach is essentially combinatorial, and no knowledge of harmonic analysis will be needed. For any finite set of positive primes, P, let W be the be multiplicative subset of Z generated by P. Then Z is a Sidon subset of the additive group of complex numbers. In fact, E is a finite union of M independent sets, where Q is Sidon if and only if its intersections with cosets of certain (multiplicative) subgroups, namely those with square-free order, are Sidon uniformly. We characterize the permutations of the roots of unity that preserve the quasi-independent sets (sets whose subsets all have distinct sums); they are the same permutations that preserve the independent sets. (joint work with L. T. Ramsey) tea break Greg Martin (University of British Columbia) The Agrawal-Kayal-Saxena deterministic polynomial-time primality test Abstract: Thursday, September 26, 2002

31. The Millennium Bookball The French mathematician eugene catalan discovered its dual, the pentagonalhexecontahedron of Figure 4, in 1865 8. http://members.tripod.com/vismath4/hart/

setAdGroup('67.18.104.18'); var cm_role = "live" var cm_host = "tripod.lycos.com" var cm_taxid = "/memberembedded" Search: Lycos Tripod Dating Search Share This Page Report Abuse Edit your Site ... Next The Millennium Bookball George W. Hart, sculptor george@georgehart.com http://www.georgehart.com/ George W. Hart's Millennium Bookball is a geometric sculpture, five feet in diameter, commissioned by the Northport (New York) Public Library. The work is a spherical assemblage of sixty wooden "books," and bronze connecting elements, hanging in the library's two-story main reading room. Its structure is based on the geometry of the rhombic triacontahedron, with components rotated to generate visually interesting internal coherences. The books are made of various hard woods, with the titles and authors of "the best books of the century" carved and gold leafed. These titles were voted on by library patrons, and the sculpture was assembled at a community assembly event, like a barn raising, but for art. Dedicated on December 12, 1999, it is on permanent display, celebrating great books and geometry. 1. Introduction

32. University Of Oklahoma Course: Math 2513, Discrete Mathematical Structures, Summ The catalan Numbers were named after a Belgian mathematician eugene catalan You can also see some of the different interpretations of the catalan http://www.math.ou.edu/~amiller/2513/

Discrete Mathematical Structures Math 2513 Summer Semester 2005 The final exam (and last day of class) will be on Monday, July 25. As promised here are solutions to the first two problems from Exam 2 For Friday, July 22 we will not have an in-class problem but instead the problem will consist of the following, to be turned in at class on Friday: Read the document titled Some Guidelines for Constructing and Writing Proofs and answer the following: Which one or two of the guidelines do you think is the most important and/or personally significant (explain)? Which one or two of the guidelines do you think is least important or confusing (explain)? List at least one, but preferably two, additional guidelines that you think could be included. Here are copies of the first exam second exam and third exam Homework Assignments will be posted at this web site. Students should check regularly for updates. Solutions to Class Problems: Monday, July 18 Thursday, July 14 Wednesday, July 13 Tuesday, July 12 ... Wednesday, June 8 Here are some Guidelines for Proofs which may help you to approach constructing and writing proofs in a systematic fashion.

33. Browse By Author: F - Project Gutenberg Field, eugene (18501895). Wikipedia Echoes from the Sabine Farm (English) catalanisches Streitgedicht zwischen En Buc und seinem Pferd (catalan) http://www.gutenberg.org/browse/authors/f

Project Gutenberg Online Book Catalog Quick Search Author: Title Word(s): EText-No.: Advanced Search Recent Books Top 100 Offline Catalogs ... In Depth Information Browse By Author: F Authors: A B C D ... other Titles: A B C D ... other Languages with more than 50 books: Chinese Dutch English Finnish ... Spanish Languages with up to 50 books: Afrikaans Aleut Bulgarian Catalan ... Yiddish Categories: Audio Book, computer-generated Audio Book, human-read Data Music, recorded ... Pictures, still Recent: last 24 hours last 7 days last 30 days Fabre, Jean-Henri, 1823-1915 Bramble-Bees and Others (English) The Life of the fly; with which are interspersed some chapters of autobiography (English) The Life of the Spider (English) The Mason-Bees (English) More Hunting Wasps (English) Wonders of Instinct, The Chapters in the Psychology of Insects (English) Fagg, Rev. John Gerardus Forty Years in South China The Life of Rev. John Van Nest Talmage, D.D. (English) Faguet, ‰mile, 1847-1916 ‰tudes Litt©raires - XVIIIe si¨cle. (French) Initiation into Literature (English) Initiation into Philosophy (English) Fa-hsien, ca. 337-ca. 422

34. Browse By Author: R - Project Gutenberg Rhodes, eugene Manlove (18691934). Copper Streak Trail (English) Volume 1,Books 1-3 (catalan); Pinya de Rosa Volume 2, Book 4 (catalan) http://www.gutenberg.org/browse/authors/r

Project Gutenberg Online Book Catalog Quick Search Author: Title Word(s): EText-No.: Advanced Search Recent Books Top 100 Offline Catalogs ... In Depth Information Browse By Author: R Authors: A B C D ... other Titles: A B C D ... other Languages with more than 50 books: Chinese Dutch English Finnish ... Spanish Languages with up to 50 books: Afrikaans Aleut Bulgarian Catalan ... Yiddish Categories: Audio Book, computer-generated Audio Book, human-read Data Music, recorded ... Pictures, still Recent: last 24 hours last 7 days last 30 days Rabbe, F. Derniers Contes (French) (as Translator) Rabb, Kate Milner National Epics (English) Rabelais, Fran§ois, 1483-1553 Gargantua and Pantagruel (English) Gargantua and Pantagruel, Illustrated, Book 1 (English) Gargantua and Pantagruel, Illustrated, Book 2 (English) Gargantua and Pantagruel, Illustrated, Book 3 (English) Gargantua and Pantagruel, Illustrated, Book 4 (English) Gargantua and Pantagruel, Illustrated, Book 5 (English) Rachinsk¯ii, S. A. (Sergiei Aleksandrovich) See: Rachmaninoff, Sergie, 1873-1943 Prelude in C Sharp Minor, Op. 3 (English) Racine, Jean Baptiste, 1639-1699

35. Behind The Name: E eugene m English From the Greek name ?e (Eugenios) which was derived fromthe Greek catalan form of EULALIA EULALIA f English, Italian, Spanish http://www.behindthename.com/nm/e3.html

t h e e t y m o l o g y a n d h i s t o r y o f f i r s t n a m e s E A B C D ... ELIINA - ERICKA m Portuguese Portuguese form of ERIC ERIK m Scandinavian, Czech, Slovene Cognate of ERIC ERIKA f German, Scandinavian, Hungarian, Czech, Slovene Cognate of ERICA ERIN f English, Irish Anglicized form of EIREANN ERIS f Greek Mythology Means "strife" in Greek... [more] ERKKI m Finnish Finnish form of ERIC ERLAND m Swedish, Danish Derived from Old Norse meaning "foreigner". ERLANTZ m Basque Basque form of FERDINAND ERLE m English Variant of EARL ERLEA f Basque Means "a bee" in Basque. ERLEND m Norwegian, Danish Variant of ERLAND ERMA f Variant of IRMA ERMANNO m Italian Italian form of HERMAN ERMELINDA f Italian Derived from the Germanic elements ermen "whole, universal" and linde "soft, tender". ERMENEGILDE m French French form of HERMENEGILDO ERMENEGILDO m Italian Italian form of HERMENEGILDO ERMENTRAUD f German German form of ERMINTRUDE ERMENTRAUDE f German German form of ERMINTRUDE ERMETE f Italian Means "of Hermes", derived from Hermetis , the Latin genitive form of Hermes , the name of the Greek messenger god. ERMINIA f Italian Italian feminine form of HERMINIUS ERMINIO m Italian Italian form of HERMINIUS ERMINTRUDE f English Derived from the Germanic elements ermen "whole, universal" and

36. The Catalan Piano Tradition De Maria, Pietro De Maria, Pietro Ericourt, Daniel Debussy Fodor, eugene FourCDs from The catalan Piano Tradition VAI AUDIO, 1 CD cat 1001, $16.99 http://www.vaimusic.com/CD/1001.shtml

MAIN MENU Compact Discs Instrumental Groups or Compilations by Various Artists Northern Lights Brooklyn Baroque Wolf Trap Chamber Group Wild, Shumsky, Curtis Goldfingers Historic concert for four pianos, presented by the Van Cliburn Foundation Romanza The Newstead Trio Francesco Libetta, Piano Duos Masters of the Keyboard Miami Int'l Piano Festival Van Cliburn Competition Retrospective Series Vol. 1 - Groote - In Memoriam Vol. 2 - 1977 Competition Vol. 3 - 1969 Competition Vol. 4 - 1962,1969 Competition ... Greatest Hits of Christmas Classics; greatest artists! Artist By Last Name: Baker , Julius Julius Baker In Recital Julius Baker In Recital, Vol. 2 Flute Force: "Pastorale" - featuring Julius Baker , Jeanne-Marie The Early Recordings De Maria , Pietro De Maria, Pietro Ericourt , Daniel Debussy Fodor , Eugene Four CDs from Grazioso Records F risardi , Nicola Brahms Piano Cto. No. 1 Fuchs , Joseph Joseph Fuchs In Recital Gabrilowitsch , Ossip Issued and Unissued Recordings Gekic , Kemal In Concert Gieseking , Walter Walter Gieseking Plays Beethoven Gieseking Plays Debussy Haendel , Ida In Recital Hofmann , Josef Complete Josef Hofmann, v. 1

37. Methods Of Mathematics Proof eugene catalan of catalan Numbers fame asked if this would be true of the equationxn ym = 1, where x,y,n, and m are positive integers and n ¹ m. http://www.mathpath.org/proof/proof.methods.htm

A summer program and resource for middle school students showing high promise in mathematics Mathematics Proof Methods of Proof A mathematics proof establishes the validity of a mathematics statement. Statements are assertions that can be broadly classified under two types: Existence statements and others. An existence statement asserts that objects with a given property exist. Here is an existence statement: Given two rational numbers, there is a rational number between them. An existence statement is proved in one of two ways. One way is to construct and exhibit the objects whose existence is postulated by the existence statement. This is called a constructive proof, which is a proof method. For instance, given two rational numbers a and b, we may consider the number (a+b)/2 and show that it is rational and lies between a and b - thus we have constructed a rational number lying between any two rational numbers. Clearly, constructions for some existence statements can be difficult and there are existence statements for which constructions are not known. A second way to prove an existence statement is by proving that the objects in question must exist. This is a non-constructive proof. A famous example of this is afforded by Cantor's proof of the non-denumerability of real numbers. Combining with his proof of the denumerability of rational numbers, it proves the existence of irrational numbers without actually constructing any irrational number.

38. Archimedean Duals that are called the Archimedean duals or the catalan polyhedra, after theFrench mathematician eugene catalan, who first described them in 1865. http://www.georgehart.com/virtual-polyhedra/archimedean-duals-info.html

Archimedean Duals When one forms the dual of a given polyhedron, one creates a new polyhedron in which the faces and vertices of the dual correspond to the vertices and faces, respectively, of the original polyhedron. When one takes the duals of the Archimedean solids , one gets an interesting set of new polyhedra that are called the Archimedean duals or the Catalan polyhedra , after the French mathematician Eugene Catalan, who first described them in 1865. In the Archimedean duals, every face is identical but there are two or more different types of vertices. This is because in the original Archimedean solids every vertex is identical but there are two or more different types of faces, and when taking the dual, faces transform into vertices and vice versa. In these Archimedean duals, the faces are not regular polygons; there are different lengths and angles within each face, but each face is identical and the vertex figures are regular. Furthermore, from the construction it follows that all the dihedral angles of an Archimedean dual are equal. The relationships between the Archimedean solids and their respective duals is nicely brought out by studying a compound of a solid and its dual. For example, the

39. Search Results For Liouville eugene catalan was in Liouville s class at Ecole Polytechnique in 1833 but wasexpelled from the Ecole Polytechnique the following year. http://www-groups.dcs.st-and.ac.uk/~history/Search/historysearch.cgi?SUGGESTION=

40. HRUMC XII - April 30, 2005 Williams College Williamstown, MA List was first proposed by Leonhard Euler in the mid18th century and studied bymany famous mathematicians including Segner and eugene Charles catalan. http://www.skidmore.edu/wdb/php.cgi/academics/dvella/showpart.2005.htm

HRUMC XII - April 30, 2005 Williams College Williamstown, MA List of Lecture titles/Speaker/Abstracts submitted. TITLE: The Ingredients of Winning Basketball: Do They Differ in College Versus the Pros Adam Ain, Williams College ABSTRACT: Using multi-variable regression, I will show the statistical correlation between basketball stats and winning percentages in the NBA and in men`s Division I basketball. I will also explain why the correlation is not the same in the NBA as compared to the NCAA for some statistics. TITLE: Enigma = TZTTOG Victoria Lu, Todd Ford, Plattsburgh State University ABSTRACT: When Hitler came to power in Germany he instituted the use of the Enigma Machine to encrypt and decrypt secret information. We will discuss how the British used many mathematical and imaginative methods to solve the Enigma. TITLE: The Knapsack on My Back Todd Ford, Victoria Lu, Plattsburgh State University ABSTRACT: Having the encryption public key doesn`t give enough information to decrypt the messages. Or does it? We`re going to explore public key cryptography, namely the knapsack problem. TITLE: The Continued Fraction Revolution Nick Yates, Williams College

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z

Page 2     21-40 of 92    Back | 1  | 2  | 3  | 4  | 5  | Next 20