History of Nonlinear Oscillations Theory in France (1880–1940)
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Les Pires Menaces Sont Étudiées En Secret À Spiez
SALAIRES De la peine à suivre la hausse des prix HOCKEY Il devra faire trembler les filets Les rares augmentations n’égalent pas toujours Charles Bertrand a débarqué à Gottéron. le renchérissement bien que l’économie cartonne. L 7 Mais le Français ne jouera pas ce soir. L 19 QUOTIDIEN ROMAND ÉDITÉ À FRIBOURG MARDI 4 DÉCEMBRE 2018 N° 55 • 148 e année / Semaine Fr. 2.70 / Samedi Fr. 3.70 JA 1701 Fribourg Le bâtiment Les pires menaces sont de Yendi revit BULLE L’ancien centre logistique de l’enseigne bulloise de prêt-à-porter Yendi, tombée en faillite depuis, a trouvé preneur. étudiées en secret à Spiez PowerData, une entreprise vaudoise basée à Tolochenaz, près de Morges, espère prendre possession des lieux à partir du milieu de l’an prochain. Spécialisée dans la distribution de produits électroniques, la société compte y créer une douzaine d’emplois dans un premier temps. L 11 Dans la forêt du Burgerwald. Charly Rappo Des sapins locaux à bon prix NOËL Guidées par des traditions locales, de nombreuses communes fribourgeoises proposent des sapins à leurs citoyens pour un prix inférieur à celui du marché. Ces conifères, de qualité malgré la sécheresse de l’été dernier, viennent des forêts du canton. L 13 La loi sur le CO2 se concrétise CLIMAT Le National a empoigné hier la révision totale de la loi sur le CO2 qui Le laboratoire de Spiez est à la pointe de la recherche contre les menaces chimiques ou biologiques. Keystone-archives l’occupera plusieurs jours. L’UDC a tenté de bloquer le dossier, en vain: l’entrée en Situé au pied des majes- taine au total, y analysent les pires me- s’est retrouvé depuis septembre sous les matière a été largement acceptée. -
On the Origin and Early History of Functional Analysis
U.U.D.M. Project Report 2008:1 On the origin and early history of functional analysis Jens Lindström Examensarbete i matematik, 30 hp Handledare och examinator: Sten Kaijser Januari 2008 Department of Mathematics Uppsala University Abstract In this report we will study the origins and history of functional analysis up until 1918. We begin by studying ordinary and partial differential equations in the 18th and 19th century to see why there was a need to develop the concepts of functions and limits. We will see how a general theory of infinite systems of equations and determinants by Helge von Koch were used in Ivar Fredholm’s 1900 paper on the integral equation b Z ϕ(s) = f(s) + λ K(s, t)f(t)dt (1) a which resulted in a vast study of integral equations. One of the most enthusiastic followers of Fredholm and integral equation theory was David Hilbert, and we will see how he further developed the theory of integral equations and spectral theory. The concept introduced by Fredholm to study sets of transformations, or operators, made Maurice Fr´echet realize that the focus should be shifted from particular objects to sets of objects and the algebraic properties of these sets. This led him to introduce abstract spaces and we will see how he introduced the axioms that defines them. Finally, we will investigate how the Lebesgue theory of integration were used by Frigyes Riesz who was able to connect all theory of Fredholm, Fr´echet and Lebesgue to form a general theory, and a new discipline of mathematics, now known as functional analysis. -
Do Detetor De Hertz Ao Coesor
Do detetor de Hertz ao coesor Em 1886, em Karlsruhe, Alemanha, Heinrich Hertz usava frequentemente as bobinas espirais acopladas de Peter Riess em demonstrações na lecionação das suas aulas de Física. Estas bobinas eram dois anéis metálicos abertos, com igual diâmetro, terminados em pequenas esferas metálicas, cuja distância (spark gap) podia ser ajustada por um parafuso micrométrico. Hertz verificou que era relativamente fácil gerar uma faísca num anel (primário) à custa de uma bobina de indução e observar uma réplica no outro anel (secundário), supostamente por efeito de indução eletromagnética. Hertz concluiu rapidamente que não se tratava de um efeito de indução, uma vez que o afastamento progressivo dos dois anéis não seguia a lei de decréscimo da indução eletromagnética. Hertz usou este dispositivo como detetor de ondas de rádio nos seus trabalhos sobre ondas eletromagnéticas (ver aqui). O anel de Hertz é, assim, o primeiro detetor de sinais de rádio. Este detetor tem uma sensibilidade muito baixa e a pequena faísca nunca pode ser vista por muitas pessoas. Vários investigadores sugeriram alterações para ampliar a visibilidade e estas foram desde a colocação do spark gap num frasco com uma mistura de oxigénio e hidrogénio, que explodiria assim que houvesse uma pequena faísca, e até à inclusão do spark gap dentro de um tubo de descarga de gás de Geissler para a faísca iniciar a descarga dentro do gás e iluminá-lo. Outros investigadores associaram galvanómetros às extremidades do anel de Hertz, para verem o deslocamento do ponteiro, ou até usaram auscultadores de alta impedância ligados às esferas do detetor para ouvir o sinal recebido. -
Scientific Instrument Society
Scientific Instrument Society Bulletin of the Scientific Instrument Society No. 46 September 1995 Bulletin of the Scientific Instrument Society LSSN0956-8271 For Table of Contents, see inside back cover President Gerard Turner Honorary Committee Howard Dawes, Chairman Stuart Talbot, Secretary John Didcock, Treasurer Willem Hackmann, Editor Michael Cowham, Ad~wtising Manager Trevor Waterman, Meetings Secretary Gloria Clifton Jane [nsley Arthur Middleton Alan Morton Membership and Administrative Matters The Executive Officer (Wing Cmdr. Geoffnm] Bennett) 31 High Street Stanford in the Vale Faringdon Tel: 01367 710223 Oxon SN7 8LH Fax: 01367 718963 See inside back cover for information on membership Editorial Matters Dr. Willem D. Hackmann Museum of the History of Science Old Ashmolean Building Tel: 01865 277282 (office) Broad Street Fax: 01865 277288 Oxford OXI 3AZ Tel: 01865 54058 (home) Advertising Mr Michael Cowham The Mount "loft Tel: 01223 263532/262684 Cambridge CB3 7RL Fax: 01223 263948 Organization of Meetings Mr Trevor Waterman 75a Jermyn Street Tel: 0171-930 2954 London SWIY 6NP Fax: 0171-321 0212 Typesetting and Printing Lithoflow Lid 26-36 Wharfdale Road Kings Cross Tel: 0171-833 2344 London NI 9RY Fax: 0171-833 8150 Price: £6 per issue, including back numbers where available. (Please enquire 04 Exec. Officer if sets are required.) The Scientific Instrument Society is Registered Charity No. 326733 © The Scientific lnsVument Society 19')5 Editorial X-ray image of a metal grid taken in THE EM)iF.'.; G.A,ZETTL Crookes' laboratory, but not by him as he -. + .__ was in South Africa when Rontgen's discovery was announced. There is also the metal grid and the X-ray tube used in producing this image. -
White Paper Secured Time Synchronization
WHITE PAPER SECURED TIME SYNCHRONIZATION SHARED TALENTS OF FRENCH EXPERTS IN TIME/FREQUENCY SUMMARY 2 EVOLUTION OF TIME PRODUCTION 10 EVOLUTION OF TIME SYNCHRONIZATION 16 EVOLUTION OF TIME BROADCASTING 26 THE SCPTime® PROJECT 53 PARTNERS Text: Maurice GORGY, Nicolas GORGY, Alexandre D’HERBOMEZ, with the participation of Patrick ROYET (Tyléos). Design: Emmanuel ANDRILLON 2 PREFACE Dear readers, Since the XVIIIth century, clockmakers have contributed to the growth in commercial exchanges and then, physicists started to master time measurement precise enough for scientific use. Today, the explosion of the digital economy that produces more than half of trade transactions is bringing a new revolution. Fortunately, French Observatories produce time scales precise to 10-15 seconds which means an error of only 1 second in a 300 million years period of time. France is the technological birthplace of the world’s Time/Frequency industry. Especially as the SYRTE (Paris Observatory, CNRS, UPMC, and LNE) delivers a legal time built on the UTC international time scale (Coordinated Universal Time). Within new digital organizations, time synchronization allows not only to distribute time to clocks but also to synchronized devices (the Internet of Things) and machines with no concern about distance with a precision that can reach a few nanoseconds, depending on the applications. Although high precision time production is perfectly mastered by the Observatories of Paris and Besançon, the actual technological challenge is to master the security and traceability of the date and time from their source to the final user. This is key to fighting cyberattacks that interfere with the time message. Time cybersecurity… a new challenge. -
Vie De La Société Bulletin De La S
BULLETIN DE LA S. M. F. SMF Vie de la société Bulletin de la S. M. F., tome 58 (1930), p. 1-48 (supplément spé- cial) <http://www.numdam.org/item?id=BSMF_1930__58__v1_0> © Bulletin de la S. M. F., 1930, tous droits réservés. L’accès aux archives de la revue « Bulletin de la S. M. F. » (http: //smf.emath.fr/Publications/Bulletin/Presentation.html) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/ conditions). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright. Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques http://www.numdam.org/ SOCIÉTÉ MATHÉMATIQUE DE FRANCE COMPTES RENDUS DES SÉANCES DE L'ANNÉE 1930. s SOCIÉTÉ MATHÉMATIQUE DE FRANCE ÉTAT DE LA SOCIÉTÉ MATHÉMATIQUE DE FRANCE AU 15 JANVIER 1931 (1). MM. BOREL. BRILLOUliN. COSSERAT (E.). OEMOULIN. DERUYTS. DRACH. GOURSAT. HADAMARD. Membres honoraires du Bureau.... / JOUGUET. KOENIGS. LEBESGUE. LECORNU. OCAGNE (D'). PAINLEVÉ. PICARD. VALLÉE POUSSIN (I»K LA). VOLTERRA. Président. ..... MM. DENJOY. JULIA. Vice-Président» TRESSE. VILLAT. ESCLANGON. CHAZY. Secrétaires. MICHEL. CHAPELON. Vice-Secrétaires. GOT. Archiviste...... BARRÉ. Trésorier. ...... TURMEL. AURIC, 1933. BIOCHE, 1933. FRÉCHET, 1933. GARN1ER, 193'2. JOUGUET, 1934. LECONTE, 1932. Membres du Conseil (2) LIÉNARO, 1934. MAROTTE, 1933. POMEY (J.-B.), 1933. RISSER, 1932. THYBAUT, 1932. TRIPIER, 1933. (1) MM. les Membres de la Société sont instamment prie» (t'adresser an Secrétariat les rectifications qu'il y aurait lien de faire à cette liste. (3) La date qui suit le nom d'un membre du Conseil indique l'année au corn- mencement de laquelle expire le mandat de ce membre. -
Electromagnetics00whinrich.Pdf
Regional Oral History Office University of California The Bancroft Library Berkeley, California College of Engineering Oral History Series John R. Whinnery RESEARCHER AND EDUCATOR IN ELECTROMAGNETICS, MICROWAVES, AND OPTOELECTRONICS, 1935-1995; DEAN OF THE COLLEGE OF ENGINEERING, UC BERKELEY, 1959-1963 With an Introduction by Donald 0. Pederson Interviews Conducted by Ann Lage in 1994 Copyright 1996 by The Regents of the University of California Since 1954 the Regional Oral History Office has been interviewing leading participants in or well-placed witnesses to major events in the development of Northern California, the West, and the Nation. Oral history is a modern research technique involving an interviewee and an informed interviewer in spontaneous conversation. The taped record is transcribed, lightly edited for continuity and clarity, and reviewed by the interviewee. The resulting manuscript is typed in final form, indexed, bound with photographs and illustrative materials, and placed in The Bancroft Library at the University of California, Berkeley, and other research collections for scholarly use. Because it is primary material, oral history is not intended to present the final, verified, or complete narrative of events. It is a spoken account, offered by the interviewee in response to questioning, and as such it is reflective, partisan, deeply involved, and irreplaceable. ************************************ All uses of this manuscript are covered by a legal agreement between The Regents of the University of California and John R. Whinnery dated February 9, 1994. The manuscript is thereby made available for research purposes. All literary rights in the manuscript, including the right to publish, are reserved to The Bancroft Library of the University of California, Berkeley. -
HARDY SPACES the Theory of Hardy Spaces Is a Cornerstone of Modern Analysis
CAMBRIDGE STUDIES IN ADVANCED MATHEMATICS 179 Editorial Board B. BOLLOBAS,´ W. FULTON, F. KIRWAN, P. SARNAK, B. SIMON, B. TOTARO HARDY SPACES The theory of Hardy spaces is a cornerstone of modern analysis. It combines techniques from functional analysis, the theory of analytic functions, and Lesbesgue integration to create a powerful tool for many applications, pure and applied, from signal processing and Fourier analysis to maximum modulus principles and the Riemann zeta function. This book, aimed at beginning graduate students, introduces and develops the classical results on Hardy spaces and applies them to fundamental concrete problems in analysis. The results are illustrated with numerous solved exercises which also introduce subsidiary topics and recent developments. The reader’s understanding of the current state of the field, as well as its history, are further aided by engaging accounts of the key players and by the surveys of recent advances (with commented reference lists) that end each chapter. Such broad coverage makes this book the ideal source on Hardy spaces. Nikola¨ı Nikolski is Professor Emeritus at the Universite´ de Bordeaux working primarily in analysis and operator theory. He has been co-editor of four international journals and published numerous articles and research monographs. He has also supervised some 30 PhD students, including three Salem Prize winners. Professor Nikolski was elected Fellow of the AMS in 2013 and received the Prix Ampere` of the French Academy of Sciences in 2010. CAMBRIDGE STUDIES IN ADVANCED MATHEMATICS Editorial Board B. Bollobas,´ W. Fulton, F. Kirwan, P. Sarnak, B. Simon, B. Totaro All the titles listed below can be obtained from good booksellers or from Cambridge University Press. -
Essay Review
HISTORIA MATHEMATICA 23, (1996), 74±84 ARTICLE NO. 0006 ESSAY REVIEW Edited by CATHERINE GOLDSTEIN AND PAUL R. WOLFSON All books, monographs, journal articles, and other publications (including ®lms and other multisensory materials) relating to the history of mathematics are abstracted in the Abstracts Department. The Reviews Department prints extended reviews of selected publications. Materials for review, except books, should be sent to the Abstracts Editor, Professor David E. Zitarelli, Department of Mathematics, Temple University, Philadelphia, Pennsylvania 19122, U.S.A. Books in English for review should be sent to Professor Paul R. Wolfson, Department of Mathematics, West Chester University, West Chester, Pennsylvania 19383, U.S.A. Books in other languages for review should be sent to Professor Catherine Goldstein, BaÃtiment 425, MatheÂmatiques, UniversiteÂde Paris-Sud, F-91405 Orsay Cedex, France. Most reviews are solicited. However, colleagues wishing to review a book are invited to make their wishes known to the appropriate Book Review Editor. (Requests to review books written in the English language should be sent to Prof. Paul R. Wolfson at the above address; requests to review books written in other languages should be sent to Prof. Catherine Goldstein at the above address.) We also welcome retrospective reviews of older books. Colleagues interested in writing such reviews should consult ®rst with the appropriate Book Review Editor (as indicated above, according to the language in which the book is written) to avoid duplication. A History of Complex Dynamics, from SchroÈ der to Fatou and Julia. By Daniel S. Alexander. Wiesbaden (Vieweg). 1994. REVIEWED BY T. W. GAMELIN Mathematics Department, University of California at Los Angeles, Los Angeles, California 90024 The book under review is a readable and engaging account of the development of complex iteration theory over half a century, from Ernst SchroÈ der's landmark pair of papers of 1870±1871 to the work of Pierre Fatou and Gaston Julia appearing in 1917±1920. -
Outreach Info-Packet for Copenhagen
Outreach Info-Packet for Copenhagen by Amy Buckler ‘10 and Aisha Saleem ‘08 Edited by Prof. Matthew Grayson, Northwestern University Supported in part by NSF CAREER Award DMR #0748856 The Play COPENHAGEN originally opened in London at the Cottesloe Theatre, Royal National Theatre on May 28, 1998. It was directed by Michaek Blakemore. It opened on Broadway in New York at the Royal Theatre on April 11, 2000. It won the 2000 Tony Award for Best Broadway Play, the Outer Circle Critics Award for Outstanding Broadway Play, and the New York Drama Critic's Award for Best Foreign Play. It has had numerous successful productions around the world. The Playwright Michael Frayn Playwright, novelist and translator Michael Frayn was born in London in 1933. After two years National Service, during which he learned Russian, he read Philosophy at Emmanuel College, Cambridge, and his fascination for the subject has informed his writing ever since. On leaving Cambridge, he worked as a reporter and columnist for The Guardian and The Observer, publishing several award winning novels. His latest novel, Spies (2002), is a story of childhood set in England during the Second World War. He has also authored dozens of plays, including His plays include Clouds (1976), Noises Off (1982) and Democracy (2003). He has also translated a number of works from Russian, including plays by Chekhov and Tolstoy. He also wrote the screenplay for the film Clockwise (1986), a comedy starring John Cleese. His latest book is a work of non-fiction, The Human Touch: Our Part in the Creation of the Universe (2006). -
Lucjan Emil Böttcher (1872‒1937) ‒ the Polish Pioneer of Holomorphic Dynamics
TECHNICAL TRANSACTIONS CZASOPISMO TECHNICZNE FUNDAMENTAL SCIENCES NAUKI PODSTAWOWE 1-NP/2014 MAŁGORZATA STAWISKA* LUCJAN EMIL BÖTTCHER (1872‒1937) ‒ THE POLISH PIONEER OF HOLOMORPHIC DYNAMICS LUCJAN EMIL BÖTTCHER (1872‒1937) ‒ POLSKI PIONIER DYNAMIKI HOLOMORFICZNEJ Abstract In this article I present Lucjan Emil Böttcher (1872‒1937), a little-known Polish mathematician active in Lwów. I outline his scholarly path and describe briefly his mathematical achievements. In view of later developments in holomorphic dynamics, I argue that, despite some flaws in his work, Böttcher should be regarded not only as a contributor to the area but in fact as one of its founders. Keywords: mathematics of the 19th and 20th century, holomorphic dynamics, iterations of rational functions Streszczenie W artykule tym przedstawiam Lucjana Emila Böttchera (1872‒1937), mało znanego matema- tyka polskiego działającego we Lwowie. Szkicuję jego drogę naukową oraz opisuję pokrótce jego osiągnięcia matematyczne. W świetle późniejszego rozwoju dynamiki holomorficznej do- wodzę, że mimo pewnych wad jego prac należy nie tylko docenić wkład Böttchera w tę dzie- dzinę, ale w istocie zaliczyć go do jej twórców. Słowa kluczowe: matematyka XIX i XX wieku, dynamika holomorficzna, iteracje funkcji wymiernych * Małgorzata Stawiska, Mathematical Reviews, 416 Fourth St., Ann Arbor, MI 48103, USA, email: [email protected]. 234 1. Introduction Holomorphic dynamics – in particular the study of iteration of rational maps on the Riemann sphere – is an active area of current mathematical -
Van Der Pol's Tablecloth
Math Horizons ISSN: 1072-4117 (Print) 1947-6213 (Online) Journal homepage: http://maa.tandfonline.com/loi/umho20 Van der Pol’s Tablecloth John Bukowski & Sanny de Zoete To cite this article: John Bukowski & Sanny de Zoete (2018) Van der Pol’s Tablecloth, Math Horizons, 26:1, 14-17, DOI: 10.1080/10724117.2018.1469364 To link to this article: https://doi.org/10.1080/10724117.2018.1469364 Published online: 06 Sep 2018. Submit your article to this journal Article views: 27 View Crossmark data Full Terms & Conditions of access and use can be found at http://maa.tandfonline.com/action/journalInformation?journalCode=umho20 Van der Pol’s Tablecloth J B S Z Figure 1. Balthasar van der Pol. he city of Leiden, the Netherlands, The Van der Pol equation describes so-called is home to a well-known university relaxation oscillations in a particular kind of and several excellent museums. electric circuit, as he discovered in the 1920s. Among them is Museum Boerhaave, Van der Pol worked from 1922 to 1949 at the T the Dutch National Museum for the Philips Research Laboratory in Eindhoven, where History of Science and Medicine. Recently John he became Director of Scientifi c Research. He was visited its library to explore the archive of the known throughout the world as a leader in radio 20th century Dutch mathematician-physicist- engineering. While at Philips, he also served as a engineer Balthasar van der Pol (fi gure 1). professor at the Technical University of Delft, and The items in the archive demonstrate Van der he was later a visitor at the University of California, Pol’s varied interests.