DOCSLIB.ORG

October 1994 Table of Contents

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text

Load more

1994 Steele Prizes Awarded in Minneapolis Looking for a Job Outside Academia page 917 page 948 page 960 Calendar of AMS Meetings and Conferences This calendar lists all meetings and conferences approved prior to the date this issue insofar as is possible. Instructions for submission of abstracts can be found in the went to press. The summer and annual meetings are joint meetings with the Mathe­ January 1994 issue of the Notices on page 43. Abstracts of papers to be presented at matical Association of America. the meeting must be received at the headquarters of the Society in Providence, Rhode Abstracts of papers presented at a meeting of the Society are published in the Island, on or before the deadline given below for the meeting. Note that the deadline for journal Abstracts of papers presented to the American Mathematical Society in the abstracts for consideration for presentation at special sessions is usually three weeks issue corresponding to that of the Notices which contains the program of the meeting, earlier than that specified below. Meetings ----------------------·----------------------------------------------------------------- Abstract Program Meeting# Date Place Deadline Issue 895 October 28-29, 1994 Stillwater, Oklahoma Expired October 896 November 11-13, 1994 Richmond, Virginia Expired October 897 t January 4-7, 1995 (101st Annual Meeting) San Francisco, California Expired January 898 * March 4-5, 1995 Hartford, Connecticut December 1 March 899 * March 17-18, 1995 Orlando, Florida December 1 March 900 * March 24-25, 1995 Chicago, Illinois January 9 April 901 May 24-26, 1995 Jerusalem, Israel February 9 May (Joint Meeting with the Israeli Mathematical Union) 902 August 6-8, 1995 (97th Summer Meeting) Burlington, Vermont May 18 August 903 October 7-8, 1995 Boston, Massachusetts July 24 October 904 November 3-4, 1995 Kent, Ohio August 15 November November 17-18, 1995 Greensboro, North Carolina August 15 November January 1D-13, 1996 (102nd Annual Meeting) Orlando, Florida March 22-23, 1996 Iowa City, Iowa Apri113-14, 1996 New York, New York April19-21, 1996 Baton Rouge, Louisiana October 5-6, 1996 Lawrenceville, New Jersey November 1-3, 1996 Columbia, Missouri January 8-11, 1997 (103rd Annual Meeting) San Diego, California May 2-4, 1997 Detroit, Michigan January 7-10, 1998 (104th Annual Meeting) Baltimore, Maryland March 27-28, 1998 Manhattan, Kansas *Please refer to page 1011 for listing of special sessions. t Please refer to the Table of Contents for further information. Conferences January 2-3, 1995: Short Course on Coding Theory, and Short Course on Knots and Physics, San Francisco, California June 25-July 27, 1995: Joint Summer Research Conferences in the Mathematical Sciences, University of Washington, Seattle, Washington July 9-29, 1995: AMS Summer Institute on Algebraic Geometry, University of California, Santa Cruz, California July 17-August 11, 1995: AMS-SIAM Summer Seminar in Applied Mathematics on the Mathematics of Numerical Analysis: Real Number Algorithms, Park City, Utah Other Events Cosponsored by the Society October 8-14, 1994: Symposium on the Legacy of Norbert Wiener: A Centennial Symposium, Massachusetts Institute of Technology, Cambridge, Massachusetts October 16-18, 1994: Women in Probability Workshop, Cornell University, Ithaca, New York November 17-20, 1994: MER Forum Workshop on Preparation for Teaching Mathematics: Issues, Policies and Programs, Southern University, Baton Rouge, Louisiana November 27-December 3, 1994: Norbert Wiener Centenary Congress, Michigan State University, East Lansing, Michigan Deadlines January Issue February Issue March Issue April Issue Classified Ads* November 8, 1994 December 8, 1994 January 5, 1995 February 2, 1995 News Items November 3, 1994 December 5, 1994 December 30, 1994 January 30, 1995 Meeting Announcements** October 31 , 1994 November 30, 1994 December 27, 1994 January 25, 1995 * Please contact AMS Promotions Department for an Advertising Rate Card for display advertising deadlines. ** For material to appear in the Mathematical Sciences Meetings and Conferences section. OTICES OF THE AMERICAN MATHEMATICAL SOCIETY DEPARTMENTS ARTICLES 899 Letters to the Editor 902 Academic Employment 905 1994 AMS Steele Prizes Application Cover Sheet 937 News and Announcements The 1994 Steele Prizes were presented at the Minneapolis Mathfest in August. This year's recipients are Ingrid Daubechies, Louis de Branges, and 945 Funding Information for the Louis Nirenberg. Mathematical Sciences 946 For Your Information 913 International Affairs: Events over the Past Year Spur Debate about the 947 1994 AMS Election Role of the U.S. Mathematical Community in the International Arena 948 Meetings and Conferences of Over the past year, debate about the U.S. National Committee on the AMS Mathematics has rippled through the community. Allyn Jackson examines Stillwater, OK the issues surrounding the controversy and other aspects of the international October 28-29, 948 role of the U.S. mathematics community. Richmond, VA November 11-13, 960 917 Preparing for a Job Outside Academia Stan Benkoski San Francisco, CA January 4-7, 971 With the job outlook for mathematicians remaining less than promising, Mathematical Sciences many on the job market would like to explore the opportunities available to Employment Register, 1002 mathematicians in industry. This article presents practical and philosophical San Francisco Short Courses, advice about getting information on this sector of the job market. 1005 Invited Addresses, Special 921 Education Reform From a National Perspective: The Mathematics Sessions, and Contributed Papers, Community's Investment and Future Hy Bass 1011 How can this country insure lasting, substantive reform in mathematics Joint Summer Research education? This article, based on a speech presented at a calculus Conferences, 1014 workshop, presents an insightful, thought-provoking appraisal of the Summer Research Institute, 1018 problems and potential of the reform movement. AMS-SIAM Summer Seminar in Applied Mathematics, 1019 1021 Winter Meeting of the Canadian FEATURE COLUMNS Mathematical Society 1023 Mathematical Sciences Meetings 927 Computers and Mathematics Keith Devlin and Conferences This month's column begins with the fifth in the series of George Gratzer's 1030 New Publications Offered by the articles on TEX. Then Raj Markanda reviews the latest version of Mathcad AMS for Windows and Larry Riddle reports on TEMATH, Version 1.5. 1035 Publications of Continuing Interest 934 Inside the AMS 1036 Miscellaneous lvar Stakgold, former SIAM president, has taken the position of head Personal Items, 1036 of the AMS Washington Office, and he is full of ideas for strengthening Deaths, 1036 the presence of mathematics in the nation's capital. Also included in this Visiting Mathematicians, 1036 month's column is a list of non-user-specific electronic addresses for the 1037 New Members and Honorary AMS. Members of the AMS 1040 Stipends for Travel and Study 1063 Classified Advertising 1081 Forms OCTOBER 1994, VOLUME 41, NUMBER 8 897 From the Executive Director ... N~rr•cEs AMS BUSINESS-NOT AS USUAL AMERICAN MATHEMATICAL SOCIETY One of the major tasks that will face the next AMS executive director is insuring that the financial foundation of the Society remains sound during times of rapid and uncertain change. This is the business side of the Society, and it is anything but business EDITORIAL COMMITTEE as usual. Sheldon Axler The current annual operating budget of the AMS is over $21 million. There are Amassa C. Fauntleroy over 250 employees located at five facilities: three in Rhode Island, Mathematical Robert M. Fossum (Chairman) Reviews (MR) in Ann Arbor, and the AMS Washington office. The AMS has a complete Susan J. Friedlander (Forum Editor) in-house publishing operation (acquisition, editorial, composition, typesetting, printing, Carolyn S. Gordon promotion, customer services, warehousing, and distribution), accounting for the large Carl R. Riehm (Letters Editor) number of staff. Publication-related revenue accounts for nearly 75 percent of all AMS L. Ridgway Scott revenue, while dues account for approximately 9 percent, and meetings less than 5 MANAGING EDITOR percent. Allyn Jackson Electronic delivery of information is rapidly changing the way new scholarly ASSOCIATE EDITOR information is being communicated, thereby transforming the role of the scholarly Jeffrey C. Lagarias, Special Articles publisher. This not only affects the primary AMS journals (the Notices, the Bulletin, the SUBSCRIPTION INFORMATION Journal of the AMS, Proceedings, and Transactions) but also bodes dramatic changes Subscription prices for Volume 41 (1994) are for MR, which accounts for over 40 percent of AMS publication revenue. Despite $146 list; $117 institutional member; $88 individ­ the uncertainty of these changes, the AMS sits in a particularly attractive position to ual member. (The subscription price for members contribute in a major way to the future of communication of mathematics. is included in the annual dues.) A late charge of 10% of the subscription price will be imposed upon The Society is well prepared to move into electronic delivery of information. It orders received from nonmembers after January 1 has invested in 1FX as a standard for electronic formatting and information delivery, of the subscription year. Add for postage: Surface has been offering the MR database electronically for nearly a decade, and has been delivery outside the United States and lndia-$15; preparing
Recommended publications
  • Zarys Historii Polonistyki W Ameryce Północnej BIBLIOTEKA POSTSCRIPTUM POLONISTYCZNEGO

    Zarys Historii Polonistyki W Ameryce Północnej BIBLIOTEKA POSTSCRIPTUM POLONISTYCZNEGO

    Zarys historii polonistyki w Ameryce Północnej BIBLIOTEKA POSTSCRIPTUM POLONISTYCZNEGO Redaktorzy naukowi ROMUALD CUDAK, JOLANTA TAMBOR 2012 • TOM 2 Michał J. Mikoś Zarys historii polonistyki w Ameryce Północnej w opracowaniu MAŁGORZATY SMERECZNIAK ze wstępem BOŻENY SZAŁASTY-ROGOWSKIEJ i posłowiem WIOLETTY HAJDUK-GAWRON Uniwersytet Śląski w Katowicach Szkoła Języka i Kultury Polskiej Katedra Międzynarodowych Studiów Polskich Wersja elektroniczna: www.postscriptum.us.edu.pl Recenzent WACŁAW M. OSADNIK Korekta ZESPÓŁ Publikacja sfinansowana ze środków: UNIWERSYTETU ŚLĄSKIEGO W KATOWICACH Adres „Postscriptum Polonistyczne” Szkoła Języka i Kultury Polskiej UŚ pl. Sejmu Śląskiego 1, 40-032 Katowice tel./faks: +48 322512991, tel. 48 322009424 e-mail: [email protected] www.postscriptum.us.edu.pl Wydawca Uniwersytet Śląski w Katowicach Szkoła Języka i Kultury Polskiej Katedra Międzynarodowych Studiów Polskich Dystrybucja Wydawnictwo Uniwersytetu Śląskiego ul. Bankowa 12B, 40-007 Katowice e-mail: [email protected]; www.wydawnictwo.us.edu.pl tel.: 48 32 3592056 Wydawnictwo Uniwersytetu Śląskiego Wydawnictwo Gnome, Katowice Nakład: 250 egz. ISSN 1898-1593 Spis treści Bożena Szałasta-Rogowska: Pasja Hermesa ........................................................ 7 I. Rys historyczny ................................................................................................... 11 II. Obecność literatury polskiej w Ameryce Północnej i Anglii ..................... 36 III. Bibliografia tłumaczeń z literatury polskiej na angielski ..........................
  • Bart, Hempfling, Kaashoek. (Eds.) Israel Gohberg and Friends.. on The

    Bart, Hempfling, Kaashoek. (Eds.) Israel Gohberg and Friends.. on The

    Israel Gohberg and Friends On the Occasion of his 80th Birthday Harm Bart Thomas Hempfling Marinus A. Kaashoek Editors Birkhäuser Basel · Boston · Berlin Editors: Harm Bart Marinus A. Kaashoek Econometrisch Instituut Department of Mathematics, FEW Erasmus Universiteit Rotterdam Vrije Universiteit Postbus 1738 De Boelelaan 1081A 3000 DR Rotterdam 1081 HV Amsterdam The Netherlands The Netherlands e-mail: [email protected] e-mail: [email protected] Thomas Hempfling Editorial Department Mathematics Birkhäuser Publishing Ltd. P.O. Box 133 4010 Basel Switzerland e-mail: thomas.hempfl[email protected] Library of Congress Control Number: 2008927170 Bibliographic information published by Die Deutsche Bibliothek Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data is available in the Internet at <http://dnb.ddb.de>. ISBN 978-3-7643-8733-4 Birkhäuser Verlag, Basel – Boston – Berlin This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. For any kind of use permission of the copyright owner must be obtained. © 2008 Birkhäuser Verlag AG Basel · Boston · Berlin P.O. Box 133, CH-4010 Basel, Switzerland Part of Springer Science+Business Media Printed on acid-free paper produced of chlorine-free pulp. TCF ∞ Printed in Germany ISBN 978-3-7643-8733-4 e-ISBN 978-3-7643-8734-1 9 8 7 6 5 4 3 2 1 www.birkhauser.ch Contents Preface.......................................................................ix CongratulationsfromthePublisher...........................................xii PartI.MathematicalandPhilosophical-MathematicalTales...................1 I.
  • Combinatorial Characterizations of K-Matrices

    Combinatorial Characterizations of K-Matrices

    Combinatorial Characterizations of K-matricesa Jan Foniokbc Komei Fukudabde Lorenz Klausbf October 29, 2018 We present a number of combinatorial characterizations of K-matrices. This extends a theorem of Fiedler and Pt´ak on linear-algebraic character- izations of K-matrices to the setting of oriented matroids. Our proof is elementary and simplifies the original proof substantially by exploiting the duality of oriented matroids. As an application, we show that a simple principal pivot method applied to the linear complementarity problems with K-matrices converges very quickly, by a purely combinatorial argument. Key words: P-matrix, K-matrix, oriented matroid, linear complementarity 2010 MSC: 15B48, 52C40, 90C33 1 Introduction A matrix M ∈ Rn×n is a P-matrix if all its principal minors (determinants of principal submatrices) are positive; it is a Z-matrix if all its off-diagonal elements are non-positive; and it is a K-matrix if it is both a P-matrix and a Z-matrix. Z- and K-matrices often occur in a wide variety of areas such as input–output produc- tion and growth models in economics, finite difference methods for partial differential equations, Markov processes in probability and statistics, and linear complementarity problems in operations research [2]. In 1962, Fiedler and Pt´ak [9] listed thirteen equivalent conditions for a Z-matrix to be a K-matrix. Some of them concern the sign structure of vectors: arXiv:0911.2171v3 [math.OC] 3 Aug 2010 a This research was partially supported by the project ‘A Fresh Look at the Complexity of Pivoting in Linear Complementarity’ no.
  • „Kamienie Na Szaniec” Na Lekcjach Adaptacja, Czyli O Związkach

    „Kamienie Na Szaniec” Na Lekcjach Adaptacja, Czyli O Związkach

    MAGAZYN FILMOWY DLA NAUCZYCIELI PRZEDMIOTÓW HUMANISTYCZNYCH „Kamienie na szaniec” na lekcjach Gotowe scenariusze zajęć do wykorzystania w szkole Adaptacja, czyli o związkach literatury i fi lmulmu O roli adaptacji fi lmowejlmowej w edukacji szkolnej Wywiad z Robertem Glińskim Reżyser o pracy nad fi lmemlmem „Kamienie na szaniec” Kamienie na szaniec_v5_11.indd 1 2014-02-12 10:04:12 Nowa Era patronem programu szkolnego do fi lmu Wydawnictwo Nowa Era od lat z dużym sposobem opowiadania. To fi lm trudny i przejmujący, zaangażowaniem stara się propagować edukację fi lmową lecz w tym tkwi jego siła – skłania odbiorcę w szkołach, a także upowszechniać fi lmy stawiające do myślenia, jest też ważnym głosem w dyskusji nie tylko „Kamienie na szaniec” odbiorcom ambitne i mądre pytania. Tym razem o czasach minionych, lecz także o Polsce współczesnej, patronatem szkolnym objęliśmy najnowszą realizację o patriotyzmie i przyjaźni. Roberta Glińskiego „Kamienie na szaniec”. Wchodzący Mamy nadzieję, że obraz Roberta Glińskiego będzie na ekrany obraz zainspirował nas również do przygotowania źródłem wielu cennych przeżyć dla Państwa i uczniów, dla Państwa kolejnego magazynu fi lmowego. a zawarte w magazynie artykuły omawiające rolę Na początku była książka, ważna książka – powieść Aleksandra ekranizacji fi lmowych w edukacji szkolnej, teksty Kamińskiego od samego początku zajmowała szczególną przybliżające tło historyczne wydarzeń z czasów pozycję w kanonie lektur. Przywołując bowiem tragiczne II wojny światowej oraz gotowe scenariusze zajęć wydarzenia z historii Polski, stawia czytelnika wobec trudnych przyczynią się do jeszcze pełniejszej analizy pytań, m.in. o gotowość do walki w obronie ojczyzny, problematyki „Kamieni na szaniec” na lekcjach języka o zapłacenie najwyższej ceny za wolność kraju.
  • Arxiv:1508.05446V2 [Math.CO] 27 Sep 2018 02,5B5 16E10

    Arxiv:1508.05446V2 [Math.CO] 27 Sep 2018 02,5B5 16E10

    CELL COMPLEXES, POSET TOPOLOGY AND THE REPRESENTATION THEORY OF ALGEBRAS ARISING IN ALGEBRAIC COMBINATORICS AND DISCRETE GEOMETRY STUART MARGOLIS, FRANCO SALIOLA, AND BENJAMIN STEINBERG Abstract. In recent years it has been noted that a number of combi- natorial structures such as real and complex hyperplane arrangements, interval greedoids, matroids and oriented matroids have the structure of a finite monoid called a left regular band. Random walks on the monoid model a number of interesting Markov chains such as the Tsetlin library and riffle shuffle. The representation theory of left regular bands then comes into play and has had a major influence on both the combinatorics and the probability theory associated to such structures. In a recent pa- per, the authors established a close connection between algebraic and combinatorial invariants of a left regular band by showing that certain homological invariants of the algebra of a left regular band coincide with the cohomology of order complexes of posets naturally associated to the left regular band. The purpose of the present monograph is to further develop and deepen the connection between left regular bands and poset topology. This allows us to compute finite projective resolutions of all simple mod- ules of unital left regular band algebras over fields and much more. In the process, we are led to define the class of CW left regular bands as the class of left regular bands whose associated posets are the face posets of regular CW complexes. Most of the examples that have arisen in the literature belong to this class. A new and important class of ex- amples is a left regular band structure on the face poset of a CAT(0) cube complex.
  • Complete Enumeration of Small Realizable Oriented Matroids

    Complete Enumeration of Small Realizable Oriented Matroids

    Complete enumeration of small realizable oriented matroids Komei Fukuda ∗ Hiroyuki Miyata † Institute for Operations Research and Graduate School of Information Institute of Theoretical Computer Science, Sciences, ETH Zurich, Switzerland Tohoku University, Japan [email protected] [email protected] Sonoko Moriyama ‡ Graduate School of Information Sciences, Tohoku University, Japan [email protected] September 26, 2012 Abstract Enumeration of all combinatorial types of point configurations and polytopes is a fundamental problem in combinatorial geometry. Although many studies have been done, most of them are for 2-dimensional and non-degenerate cases. Finschi and Fukuda (2001) published the first database of oriented matroids including degenerate (i.e., non-uniform) ones and of higher ranks. In this paper, we investigate algorithmic ways to classify them in terms of realizability, although the underlying decision problem of realizability checking is NP-hard. As an application, we determine all possible combinatorial types (including degenerate ones) of 3-dimensional configurations of 8 points, 2-dimensional configurations of 9 points and 5- dimensional configurations of 9 points. We could also determine all possible combinatorial types of 5-polytopes with 9 vertices. 1 Introduction Point configurations and convex polytopes play central roles in computational geometry and discrete geometry. For many problems, their combinatorial structures or types is often more important than their metric structures. The combinatorial type of a point configuration is defined by all possible partitions of the points by a hyperplane (the definition given in (2.1)), and encodes various important information such as the convexity, the face lattice of the convex hull and all possible triangulations.
  • Implications for Understanding the Role of Affect in Mathematical Thinking

    Implications for Understanding the Role of Affect in Mathematical Thinking

    Mathematicians and music: Implications for understanding the role of affect in mathematical thinking Rena E. Gelb Submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy under the Executive Committee of the Graduate School of Arts and Sciences COLUMBIA UNIVERSITY 2021 © 2021 Rena E. Gelb All Rights Reserved Abstract Mathematicians and music: Implications for understanding the role of affect in mathematical thinking Rena E. Gelb The study examines the role of music in the lives and work of 20th century mathematicians within the framework of understanding the contribution of affect to mathematical thinking. The current study focuses on understanding affect and mathematical identity in the contexts of the personal, familial, communal and artistic domains, with a particular focus on musical communities. The study draws on published and archival documents and uses a multiple case study approach in analyzing six mathematicians. The study applies the constant comparative method to identify common themes across cases. The study finds that the ways the subjects are involved in music is personal, familial, communal and social, connecting them to communities of other mathematicians. The results further show that the subjects connect their involvement in music with their mathematical practices through 1) characterizing the mathematician as an artist and mathematics as an art, in particular the art of music; 2) prioritizing aesthetic criteria in their practices of mathematics; and 3) comparing themselves and other mathematicians to musicians. The results show that there is a close connection between subjects’ mathematical and musical identities. I identify eight affective elements that mathematicians display in their work in mathematics, and propose an organization of these affective elements around a view of mathematics as an art, with a particular focus on the art of music.
  • Probabilistic Models on Fibre Bundles by Shan Shan

    Probabilistic Models on Fibre Bundles by Shan Shan

    Probabilistic Models on Fibre Bundles by Shan Shan Department of Mathematics Duke University Date: Approved: Ingrid Daubechies, Supervisor Sayan Mukherjee, Chair Doug Boyer Colleen Robles Dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in the Department of Mathematics in the Graduate School of Duke University 2019 ABSTRACT Probabilistic Models on Fibre Bundles by Shan Shan Department of Mathematics Duke University Date: Approved: Ingrid Daubechies, Supervisor Sayan Mukherjee, Chair Doug Boyer Colleen Robles An abstract of a dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in the Department of Mathematics in the Graduate School of Duke University 2019 Copyright c 2019 by Shan Shan All rights reserved Abstract In this thesis, we propose probabilistic models on fibre bundles for learning the gen- erative process of data. The main tool we use is the diffusion kernel and we use it in two ways. First, we build from the diffusion kernel on a fibre bundle a projected kernel that generates robust representations of the data, and we test that it outperforms regular diffusion maps under noise. Second, this diffusion kernel gives rise to a nat- ural covariance function when defining Gaussian processes (GP) on the fibre bundle. To demonstrate the uses of GP on a fibre bundle, we apply it to simulated data on a M¨obiusstrip for the problem of prediction and regression. Parameter tuning can also be guided by a novel semi-group test arising from the geometric properties of dif- fusion kernel. For an example of real-world application, we use probabilistic models on fibre bundles to study evolutionary process on anatomical surfaces.
  • Coms: Complexes of Oriented Matroids Hans-Jürgen Bandelt, Victor Chepoi, Kolja Knauer

    Coms: Complexes of Oriented Matroids Hans-Jürgen Bandelt, Victor Chepoi, Kolja Knauer

    COMs: Complexes of Oriented Matroids Hans-Jürgen Bandelt, Victor Chepoi, Kolja Knauer To cite this version: Hans-Jürgen Bandelt, Victor Chepoi, Kolja Knauer. COMs: Complexes of Oriented Matroids. Journal of Combinatorial Theory, Series A, Elsevier, 2018, 156, pp.195–237. hal-01457780 HAL Id: hal-01457780 https://hal.archives-ouvertes.fr/hal-01457780 Submitted on 6 Feb 2017 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. COMs: Complexes of Oriented Matroids Hans-J¨urgenBandelt1, Victor Chepoi2, and Kolja Knauer2 1Fachbereich Mathematik, Universit¨atHamburg, Bundesstr. 55, 20146 Hamburg, Germany, [email protected] 2Laboratoire d'Informatique Fondamentale, Aix-Marseille Universit´eand CNRS, Facult´edes Sciences de Luminy, F-13288 Marseille Cedex 9, France victor.chepoi, kolja.knauer @lif.univ-mrs.fr f g Abstract. In his seminal 1983 paper, Jim Lawrence introduced lopsided sets and featured them as asym- metric counterparts of oriented matroids, both sharing the key property of strong elimination. Moreover, symmetry of faces holds in both structures as well as in the so-called affine oriented matroids. These two fundamental properties (formulated for covectors) together lead to the natural notion of \conditional oriented matroid" (abbreviated COM).
  • 2. Superoscillations.Pdf

    2. Superoscillations.Pdf

    When the Whole Vibrates Faster than Any of its Parts Computational Superoscillation Theory Nicholas Wheeler December 2017 Introduction. The phenomenon/theory of “superoscillations”—brought to my attention by my friend Ahmed Sebbar1—originated in the time-symmetric formulation of quantum mechanics2 that gave rise to the theory of “weak measurements.” Recognition of the role that superoscillations play in that work was brought into explicit focus by Aharonov et al in 1990, and since that date the concept has found application to a remarkable variety of physical subject areas. Yakir Aharonov took his PhD in 1960 from the University of Bristol, where he worked with David Bohm.3 In 1992 a conference was convened at Bristol to celebrate Aharonov’s 60th birthday. It was on that occasion that the superoscillation phenomenon came first to the attention of Michael Berry (of the Bristol faculty), who in an essay “Faster than Fourier” contributed to the proceedings of that conference4 wrote that “He [Aharonov] told me that it is possible for functions to oscillate faster than any of their Fourier components. This seemed unbelievable, even paradoxical; I had heard nothing like it before. ” Berry was inspired to write a series of papers relating to the theory of superoscillation and its potential applications, as also by now have a great many other authors. 1 Private communication, 17 November 2017. 2 Y. Aharonov, P. G. Bergmann & J. L. Libowitz, “Time symmetry in the quantum meassurement process,” Phys. Rev. B 134, 1410–1416 (1964). 3 It was, I suspect, at the invitation of E. P Gross—who had collaborated with Bohm when both were at Princeton—that Aharonov spent 1960–1961 at Brandeis University, from which I had taken the first PhD and departed to Utrecht/CERN in February of 1960, so we never met.
  • Fundamental Theorems in Mathematics

    Fundamental Theorems in Mathematics

    SOME FUNDAMENTAL THEOREMS IN MATHEMATICS OLIVER KNILL Abstract. An expository hitchhikers guide to some theorems in mathematics. Criteria for the current list of 243 theorems are whether the result can be formulated elegantly, whether it is beautiful or useful and whether it could serve as a guide [6] without leading to panic. The order is not a ranking but ordered along a time-line when things were writ- ten down. Since [556] stated “a mathematical theorem only becomes beautiful if presented as a crown jewel within a context" we try sometimes to give some context. Of course, any such list of theorems is a matter of personal preferences, taste and limitations. The num- ber of theorems is arbitrary, the initial obvious goal was 42 but that number got eventually surpassed as it is hard to stop, once started. As a compensation, there are 42 “tweetable" theorems with included proofs. More comments on the choice of the theorems is included in an epilogue. For literature on general mathematics, see [193, 189, 29, 235, 254, 619, 412, 138], for history [217, 625, 376, 73, 46, 208, 379, 365, 690, 113, 618, 79, 259, 341], for popular, beautiful or elegant things [12, 529, 201, 182, 17, 672, 673, 44, 204, 190, 245, 446, 616, 303, 201, 2, 127, 146, 128, 502, 261, 172]. For comprehensive overviews in large parts of math- ematics, [74, 165, 166, 51, 593] or predictions on developments [47]. For reflections about mathematics in general [145, 455, 45, 306, 439, 99, 561]. Encyclopedic source examples are [188, 705, 670, 102, 192, 152, 221, 191, 111, 635].
  • EMS Newsletter September 2012 1 EMS Agenda EMS Executive Committee EMS Agenda

    EMS Newsletter September 2012 1 EMS Agenda EMS Executive Committee EMS Agenda

    NEWSLETTER OF THE EUROPEAN MATHEMATICAL SOCIETY Editorial Obituary Feature Interview 6ecm Marco Brunella Alan Turing’s Centenary Endre Szemerédi p. 4 p. 29 p. 32 p. 39 September 2012 Issue 85 ISSN 1027-488X S E European M M Mathematical E S Society Applied Mathematics Journals from Cambridge journals.cambridge.org/pem journals.cambridge.org/ejm journals.cambridge.org/psp journals.cambridge.org/flm journals.cambridge.org/anz journals.cambridge.org/pes journals.cambridge.org/prm journals.cambridge.org/anu journals.cambridge.org/mtk Receive a free trial to the latest issue of each of our mathematics journals at journals.cambridge.org/maths Cambridge Press Applied Maths Advert_AW.indd 1 30/07/2012 12:11 Contents Editorial Team Editors-in-Chief Jorge Buescu (2009–2012) European (Book Reviews) Vicente Muñoz (2005–2012) Dep. Matemática, Faculdade Facultad de Matematicas de Ciências, Edifício C6, Universidad Complutense Piso 2 Campo Grande Mathematical de Madrid 1749-006 Lisboa, Portugal e-mail: [email protected] Plaza de Ciencias 3, 28040 Madrid, Spain Eva-Maria Feichtner e-mail: [email protected] (2012–2015) Society Department of Mathematics Lucia Di Vizio (2012–2016) Université de Versailles- University of Bremen St Quentin 28359 Bremen, Germany e-mail: [email protected] Laboratoire de Mathématiques Newsletter No. 85, September 2012 45 avenue des États-Unis Eva Miranda (2010–2013) 78035 Versailles cedex, France Departament de Matemàtica e-mail: [email protected] Aplicada I EMS Agenda .......................................................................................................................................................... 2 EPSEB, Edifici P Editorial – S. Jackowski ........................................................................................................................... 3 Associate Editors Universitat Politècnica de Catalunya Opening Ceremony of the 6ECM – M.