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Wales England
BY APPOINTMENT GIN DISTILLERS TO THE LATE KING GEORGE VI BOOTHS DISTILLERIES "...and 7 one for WALES the Home!" There is only ONE BESI ENGLAND Cardiff Arms Park SATURDAY 15th JANUARY 1955 OFFICIAL PROGRAMME ONE SHILLING ) 1 Stock WELSH RUGBY FOOTBALL UNION JOISTS yy CHANNELS ANGLES Wales TEES FLATS versus ROUNDS SQUARES England PLATES CORRUGATED CARDIFF, 15th JANUARY, 1955 SHEETS TOOLS ETC Welsh Rugby Football Union, 1954-55 PRESIDENT : W. R. Thomas, M.B.E., J.P. DUNLOP VICE-PRESIDENTS : AND T. H. Vile, J.P., Glyn Stephens, J.P., F. G. Phillips, Judge Rowe Harding, Nathan Rocyn Jones, M.A., M.D., F.R.C.S., J.P., J. E. Davies, H. S. Warrington, Hermas Evans, V. C. Phelps, W. W. Ward. RANKEN HON. TREASURER: K. M. Harris. SECRETARY: Eric Evans, M.A. LT D LEEDS When in a hurry- RUGBY FOOTBALL UNION 1954-55 TELEPHONE LEEDS 27301 PATRON: H.M. THE QUEEN (20 LINES AT YOUR SERVICE) President: W. C. RAMSAY (Middlesex) Vice-Presidents: L. CLIFFORD (Yorkshire), W. D. GIBBS (Kent) Hon. Treasurer: W. C. RAMSAY Secretary: F. D. PRENTICE Music will be provided by 1st Battalion The Welch Regiment )THE SEARCHLIGHT OF MEMORY by WILF WOOLLER FLY TO DUBLIN FOR,.. T was my good fortune to start my career for Wales at Twickenham in 1933—the first time Wales had won at the great English headquarters since their first en I counter there in 1910—a game in which England, on a day of memorable incidents, beat Wales for the first time in twelve years. In so doing, they broke through the IRELAND v. -
Making Mathematics with Needlework
i i making mathematics with needlework i i i i i i i i making mathematics with needlework ten papers and ten projects edited by SARAH-MARIE BELCASTRO CAROLYN YACKEL A K Peters, Ltd. Wellesley, Massachusetts i i CRC Press Taylor & Francis Group 6000 Broken Sound Parkway NW, Suite 300 Boca Raton, FL 33487-2742 © 2007 by Taylor & Francis Group, LLC CRC Press is an imprint of Taylor & Francis Group, an Informa business No claim to original U.S. Government works Version Date: 20140130 International Standard Book Number-13: 978-1-4398-6513-2 (eBook - PDF) This book contains information obtained from authentic and highly regarded sources. Reasonable efforts have been made to publish reliable data and information, but the author and publisher cannot assume responsibility for the validity of all materials or the consequences of their use. The authors and publishers have attempted to trace the copyright holders of all material reproduced in this publication and apologize to copyright holders if permission to publish in this form has not been obtained. If any copyright material has not been acknowledged please write and let us know so we may rectify in any future reprint. Except as permitted under U.S. Copyright Law, no part of this book may be reprinted, reproduced, transmitted, or utilized in any form by any electronic, mechanical, or other means, now known or hereafter invented, including photocopying, microfilming, and recording, or in any information storage or retrieval system, without written permission from the publishers. For permission to photocopy or use material electronically from this work, please access www.copyright.com (http://www.copyright.com/) or contact the Copyright Clearance Center, Inc. -
Knoten-Topologie Analysis Situs Graph Theory
algebraische Topologie geometrische Topologie J. Piaget Rotman Form-Klischee: Hsiang Grotemeyer Brian (JJJJ) / (2012) Jeffrey (1970) Wu-Chung (1935) Topology, Algebra, Diagrams Brock Topologie Möbius-Schleife Karl Peter (1927-1992) Dress Differentialtop. Gronow Prassolow Eine Darstellung zur Mathematik-Geschichte Buch: Topologie (1969) Michail Leonidowitsch (1943) Adem Bunke Wedrich Andreas (1938) V. (JJJJ) Buch: Toenniessen Gruppenanalyse Kleinsche Flasche Morava Topologie in Bildern Schroth Alejandro (1961) Ulrich (1963) Fridtjof (2017) Topologie Paul (JJJJ) als Kontext kulturwissenschaftlicher Entwicklungen Symplektische Topologie inkl. Anwendungsfelder Topologie Topologie Lesebuch Topologie History of Topology (1999) Edited by I.M. James Jack (1944) Algebraische Andreas E. (JJJJ) Buch: Kai Peter Denker Topologie Topological circle planes and TOPOLOGIE Brown topological quadrangles Aktuelle Forschungsgebiete zur Topologie: Schwerpunkte: Mazur Hatcher William (1978) Mathematik, Strukturwissenschaften Morton (1931) Floyd 54 Allgemeine Topologie Barry C. (1937) Topologie / Geometr. Gruppentheorie https://de.wikipedia.org/wiki/Kategorie:Topologe_(20._Jahrhundert) 55 Algebraische Topologie Philosophie, Strukturalismus Geometrische Geometrische Allen (1944) https://de.wikipedia.org/wiki/Kategorie:Topologe_(21._Jahrhundert) Gestalttheorie, Feldtheorien Topologie Hirsch Weinberger 57 Differentialtopologie Topologie Haagerup Geometrische Scott Saito D. Epstein s.l. Canary Minsky Soziologie, Kulturwissenschaften Heffter Ulrich (1943-2005) Topologie -
The British Numismatic Journal 2011
THE BRITISH NUMISMATIC JOURNAL 2011 INCLUDING THE Proceedings of the British Numismatic Society for the year 2010 EDITED BY E.M. SCREEN AND M.R. ALLEN VOLUME 81 2011 THE BRITISH NUMISMATIC JOURNAL 2011 ISSN 0143-8956 Typeset by New Leaf Design, Scarborough, North Yorkshire Printed in Malta by Gutenberg Press Ltd, Tarxien, Malta © Royal Mint © Royal DEDICATED TO GRAHAM DYER OBE FSA PRESIDENT OF THE SOCIETY 1994–1998 TO MARK THE 50TH ANNIVERSARY OF HIS APPOINTMENT TO THE ROYAL MINT 8 AUGUST 1961 CONTENTS Roman coins of London from the Falmouth hoard, by Lord STEWARTBY 1 The Pacx type of Edward the Confessor, by Hugh PAGAN 9 The exchanges, silver purchases and trade in the reign of Henry III, by Richard CASSIDY 107 Checking the current coins 1344–1422, by Norman BIGGS 119 Was there a ‘Crisis of Credit’ in fi fteenth-century England? The Howard Linecar Lecture 2009, by James L. BOLTON 144 Presidential Address. The illustration of coins: an historical survey. Part II, by R.J. EAGLEN 165 A study of the ‘Weyl’ pattern pennies, halfpennies and farthings dated 1860 and 1887, by R.J. PEARCE 181 Completing the change: the New Zealand coin reverses of 1940 by Mark STOCKER 203 SHORT ARTICLES AND NOTES Roman quadrantes found in Britain, in light of recent discoveries recorded with the Portable Antiquities Scheme, by Frances MCINTOSH and Sam MOORHEAD 223 The earliest known type of Edward the Confessor from the Bury St Edmunds mint, by David PALMER 230 Stephen BMC type I from Bury St Edmunds with left-facing bust, by R.J. -
Volume 45 Number 2 2018 the Australian Mathematical Society Gazette
Volume 45 Number 2 2018 The Australian Mathematical Society Gazette David Yost and Sid Morris (Editors) Eileen Dallwitz (Production Editor) Gazette of AustMS, Faculty of Science & Technology, E-mail: [email protected] Federation University Australia, PO Box 663, Web: www.austms.org.au/gazette Ballarat,VIC3353,Australia Tel:+61353279086 The individual subscription to the Society includes a subscription to the Gazette. Libraries may arrange subscriptions to the Gazette by writing to the Treasurer. The cost for one volume con- sisting of five issues is AUD 118.80 for Australian customers (includes GST), AUD 133.00 (or USD 141.00) for overseas customers (includes postage, no GST applies). The Gazette publishes items of the following types: • Reviews of books, particularly by Australian authors, or books of wide interest • Classroom notes on presenting mathematics in an elegant way • Items relevant to mathematics education • Letters on relevant topical issues • Information on conferences, particularly those held in Australasia and the region • Information on recent major mathematical achievements • Reports on the business and activities of the Society • Staff changes and visitors in mathematics departments • News of members of the Australian Mathematical Society Local correspondents submit news items and act as local Society representatives. Material for publication and editorial correspondence should be submitted to the editors. Any communications with the editors that are not intended for publication must be clearly identified as such. Notes for contributors Please send contributions to [email protected]. Submissions should be fairly short, easy to read and of interest to a wide range of readers. Please typeset technical articles using LATEX or variants. -
Annual Review 2010-11
QUALI AAWDURDODOL Gweledigaeth AAWDURDODOL QUALI ANNIBYNNOL THE LEARNED SOCIETY OF WALES CYMDEITHAS DDYSGEDIG CYMRU CELEBRATING SCHOLARSHIP AND SERVING THE NATION BENIGOL DATHLU YSGOLHEICTOD A GWASANAETHU’R GENEDL • YMCHWIL • YSGOLHEICTOD Review • RHAGORIAETH 2010/11 • AWDURDODOL • AUTHOR 2010/11 • EXCELLENC Adolygiad SCHOLARSHIP • • RESEARCH CELEBRATING SCHOLARSHIP AND SERVING THE NATION THE SERVING AND SCHOLARSHIP CELEBRATING EXPERT DATHLU YSGOLHEICTOD A GWASANAETHU’R GENEDL GWASANAETHU’R A YSGOLHEICTOD DATHLU THE LEARNED SOCIETY OF WALES OF SOCIETY LEARNED THE CYMDEITHAS DDYSGEDIG CYMRU DDYSGEDIG CYMDEITHAS INDEPENDENT QUALI AUTHORITATIVE VISION THE LEARNED SOCIETY OF WALES CYMDEITHAS DDYSGEDIG CYMRU CELEBRATING SCHOLARSHIP AND SERVING THE NATION DATHLU YSGOLHEICTOD A GWASANAETHU’R GENEDL Legal Advisers Morgan Cole Solicitors Park Place Cardiff CF10 3DP Auditors PricewaterhouseCoopers LLP One Kingsway Cardiff CF10 3PW. Bankers HSBC Private Bank (UK) Limited 97 Bute Street Cardiff Bay CF10 5PB Registered Address The University Registry King Edward VII Avenue Cathays Park Cardiff CF10 3NS Company Number 7256948 Registered Charity Number 1141526 For more information about the Society, contact: Dr Lynn Williams Chief Executive and Secretary The Learned Society of Wales PO Box 586 Cardiff CF11 1NU (29) 2037 6951 email: [email protected] or visit the Society’s website: http://learnedsocietywales.ac.uk The Learned Society of Wales Review 2010/11 1 President’s Introduction The Learned Society of Wales is Wales’s first The Society will also harness and channel national scholarly academy. Its establishment in May the nation’s talent for the good of our country. It 2010 marks a very important development in the will act as a defender of and protagonist for the intellectual and cultural life of our nation. -
The Mathematics of Craft
The Mathematics BY JEANETTE MCLEOD AND PHIL WILSON, CHRISTCHURCH, NEW ZEALAND Using craft to unravel the complexities of maths. Editor’sNOTE Enjoy craft? Then you probably enjoy mathematics too, you The Auckland Museum is planning an just may not know it. This was the idea behind the recent even bigger Festival next year. Maths Craft Festival, a weekend-long festival held at the For more information on the Maths Craft Auckland Museum, celebrating the many links between of Craft Festival, or to find links to the patterns mathematics and craft. The Festival was the creation of three mentioned in this article, please visit mathematicians: Drs Jeanette McLeod and Phil Wilson from the mathscraftnz.org. University of Canterbury, and Dr Julia Collins from the University To talk to Jeanette about maths and of Edinburgh, and was the first of its kind in New Zealand. crafts write to her at jeanette.mcleod@ The trio were inspired to start the festival after a canterbury.ac.nz serendipitous encounter while Julia was on holiday in Christchurch from Edinburgh. Jeanette and Julia – both avid knitters and crocheters – wanted to find a way to share the beautiful mathematics behind craft with the public. Many people have a mental block when it comes to mathematics, and yet it is all around us and we use it every day. Especially those of us who craft. Mathematics is much more than just fractions and calculus – it is present in the repeats and symmetries of a pattern, the folds of a crocheted or knitted ruffle, and the arrangement of squares in a blanket. -
Use Style: Paper Title
SCIENAR VIRTUAL COMMUNITY: A USEFUL TOOL TO PROMOTE THE SYNERGIES AMONG ARTISTS AND SCIENTISTS SCIENAR Virtual Community: A Useful Tool to Promote the Synergies Among Artists and Scientists doi:10.3991/ijoe.v6i2.1293 I. Alfano, M. Carini, L. Gabriele, and G. Naccarato University of Calabria, Arcavacata di Rende (CS), Italy Abstract—This paper describes a Virtual Community (VC) terpreting the perceived world in order to facilitate a com- developed within the framework of the European project prehension of some unknown fragments of reality [3-4]. SCIENAR (Scientific Scenarios and Art). The SCIENAR But the most obvious connection between science and project explores the connections between Art and Science art is probably the fact that they are two activities dealing and the use of new media and Information Communication with the representation of the world: while art is inspired Technologies (ICTs) for the exploration and representation by nature in its forms, science uses art in order to facilitate of these relationships in an innovative and productive way. understanding of certain concepts, sometimes very com- The main objective of the Virtual Community described plex. herein is to strengthen the role of the “artistic-scientific” community in the production of new science and new art. Today, while scientists and researchers find often in the This objective can be achieved by promoting synergies and art field an ideal place to better communicate their collaborations between the different protagonists involved in achievements, more and more artists draw inspiration the large field of research of Art and Science. from science by exploring different disciplines, for in- stance, biology [5]. -
Critical Pointmathematical Bridges
physicsworld.com Comment: Robert P Crease Critical Point Mathematical bridges Physicists should learn from the wife-and-husband team now in the Depart- ment of Mathematics at the University of mathematics community’s Auckland, whose work includes a crochet annual Bridges conferences, version of Lorentz’s equations describing the behaviour of chaotic systems. says Robert P Crease Other talks concern quilting, the physics of tops, 4D geometry, the architecture of Mathematicians from around the world mosques, the mathematics of juggling and will be converging on the Korean capital torus-knot carbon nanotubes – structures of Seoul next month to attend the largest made of beads that could also be made of international conference in the mathemati- carbon atoms. One speaker will also unveil cal community. Held every four years, the the first ever sculpture whose symmetry is International Congress of Mathematicians the same as that of a “quaternion group”. (ICM) attracts several thousand partici- pants. One highlight is the announcement Hinke OsingaThe and Bernd Krauskopf, University of Aucklandcritical point of the Fields medal, which is regarded as To me the Bridges events are fascinating. the highest award a mathematician can But why can physics not do something simi- achieve and is dubbed (along with the Abel Linked in Art meets maths in this crochet Lorentz lar? After all, its bridges with artistic and Prize) the “mathematician’s Nobel”. model to be presented at the Bridges conference. other creative disciplines already exist. As But elsewhere in Seoul, another event Hart puts it, by creating bridges to painting, will be unfolding at the same time, called M C Escher). -
A Calendar of Mathematical Dates January
A CALENDAR OF MATHEMATICAL DATES V. Frederick Rickey Department of Mathematical Sciences United States Military Academy West Point, NY 10996-1786 USA Email: fred-rickey @ usma.edu JANUARY 1 January 4713 B.C. This is Julian day 1 and begins at noon Greenwich or Universal Time (U.T.). It provides a convenient way to keep track of the number of days between events. Noon, January 1, 1984, begins Julian Day 2,445,336. For the use of the Chinese remainder theorem in determining this date, see American Journal of Physics, 49(1981), 658{661. 46 B.C. The first day of the first year of the Julian calendar. It remained in effect until October 4, 1582. The previous year, \the last year of confusion," was the longest year on record|it contained 445 days. [Encyclopedia Brittanica, 13th edition, vol. 4, p. 990] 1618 La Salle's expedition reached the present site of Peoria, Illinois, birthplace of the author of this calendar. 1800 Cauchy's father was elected Secretary of the Senate in France. The young Cauchy used a corner of his father's office in Luxembourg Palace for his own desk. LaGrange and Laplace frequently stopped in on business and so took an interest in the boys mathematical talent. One day, in the presence of numerous dignitaries, Lagrange pointed to the young Cauchy and said \You see that little young man? Well! He will supplant all of us in so far as we are mathematicians." [E. T. Bell, Men of Mathematics, p. 274] 1801 Giuseppe Piazzi (1746{1826) discovered the first asteroid, Ceres, but lost it in the sun 41 days later, after only a few observations. -
100 Jahre Schweizerische Mathematische Gesellschaft∗
100 Jahre Schweizerische Mathematische Gesellschaft∗ Erwin Neuenschwander Inhaltsverzeichnis Zur Mathematik auf dem Gebiet der heutigen Schweiz vor der Gesellschaftsgründung 23 Gründung, Organisation und Veranstaltungen der SMG 29 Die mathematischen Zeitschriften der SMG 48 Vertretung in internationalen Gremien und Organisation von deren Kongressen 58 Das Archiv der SMG 65 Literatur 68 Anhang Chronik: 100 Jahre SMG/SMS 70 Zur Mathematik auf dem Gebiet der heutigen Schweiz vor der Gesellschaftsgründung Handschriften aus den Stiftsbibliotheken von Einsiedeln und St. Gallen be- legen die Auseinandersetzung mit mathematischen Fragen auf dem Ge- biet der heutigen Schweiz bereits ab dem Frühmittelalter. Vom 9. bis ins 11. Jh. erlebte die St. Galler Klosterschule im Zuge der karolingischen Bil- dungsreform eine Hochblüte. Mathematik wurde damals im Rahmen des ∗ Der Auftrag, in relativ kurzer Zeit eine Geschichte der Schweizerischen Mathematischen Gesellschaft (SMG/SMS) zu erarbeiten, erwies sich in Anbetracht des umfangreichen Ge- sellschaftsarchivs (ETH-Bibliothek, Archive, Hs 1447) als ein recht schwieriges Unterfangen, indem bereits die Sichtung des Archivmaterials ein paar Monate in Anspruch nahm. Wir danken der SMG für den Zugang zu ihrem internen elektronischen Archiv und zahlreichen Altpräsidenten für ihre wertvollen Hinweise. Ein ganz besonderer Dank geht an Norbert Hungerbühler und Urs Stammbach, die uns wiederholt Fragen beantworteten, sowie an die MitarbeiterInnen der Spezialsammlungen der ETH-Bibliothek, die uns bereitwillig bei der Herstellung von über tausend Arbeitskopien halfen. Dank gebührt auch Christian Baertschi für die Durchsicht des Manuskripts und des Korrekturabzugs sowie für seine kritischen Hinweise. 24 E. Neuenschwander Quadriviums der Septem artes liberales gelehrt, dem mittelalterlichen Bil- dungskanon. Unter den in St. Gallen benutzten Schriften zum Quadrivium Abbildung 1. -
Leonhard Euler: the First St. Petersburg Years (1727-1741)
HISTORIA MATHEMATICA 23 (1996), 121±166 ARTICLE NO. 0015 Leonhard Euler: The First St. Petersburg Years (1727±1741) RONALD CALINGER Department of History, The Catholic University of America, Washington, D.C. 20064 View metadata, citation and similar papers at core.ac.uk brought to you by CORE After reconstructing his tutorial with Johann Bernoulli, this article principally investigates provided by Elsevier - Publisher Connector the personality and work of Leonhard Euler during his ®rst St. Petersburg years. It explores the groundwork for his fecund research program in number theory, mechanics, and in®nitary analysis as well as his contributions to music theory, cartography, and naval science. This article disputes Condorcet's thesis that Euler virtually ignored practice for theory. It next probes his thorough response to Newtonian mechanics and his preliminary opposition to Newtonian optics and Leibniz±Wolf®an philosophy. Its closing section details his negotiations with Frederick II to move to Berlin. 1996 Academic Press, Inc. ApreÁs avoir reconstruit ses cours individuels avec Johann Bernoulli, cet article traite essen- tiellement du personnage et de l'oeuvre de Leonhard Euler pendant ses premieÁres anneÂes aÁ St. PeÂtersbourg. Il explore les travaux de base de son programme de recherche sur la theÂorie des nombres, l'analyse in®nie, et la meÂcanique, ainsi que les reÂsultats de la musique, la cartographie, et la science navale. Cet article attaque la theÁse de Condorcet dont Euler ignorait virtuellement la pratique en faveur de la theÂorie. Cette analyse montre ses recherches approfondies sur la meÂcanique newtonienne et son opposition preÂliminaire aÁ la theÂorie newto- nienne de l'optique et a la philosophie Leibniz±Wolf®enne.