Notices of the American Mathematical Society
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The William Lowell Putnam Mathematical Competition 1985–2000 Problems, Solutions, and Commentary
The William Lowell Putnam Mathematical Competition 1985–2000 Problems, Solutions, and Commentary i Reproduction. The work may be reproduced by any means for educational and scientific purposes without fee or permission with the exception of reproduction by services that collect fees for delivery of documents. In any reproduction, the original publication by the Publisher must be credited in the following manner: “First published in The William Lowell Putnam Mathematical Competition 1985–2000: Problems, Solutions, and Commen- tary, c 2002 by the Mathematical Association of America,” and the copyright notice in proper form must be placed on all copies. Ravi Vakil’s photo on p. 337 is courtesy of Gabrielle Vogel. c 2002 by The Mathematical Association of America (Incorporated) Library of Congress Catalog Card Number 2002107972 ISBN 0-88385-807-X Printed in the United States of America Current Printing (last digit): 10987654321 ii The William Lowell Putnam Mathematical Competition 1985–2000 Problems, Solutions, and Commentary Kiran S. Kedlaya University of California, Berkeley Bjorn Poonen University of California, Berkeley Ravi Vakil Stanford University Published and distributed by The Mathematical Association of America iii MAA PROBLEM BOOKS SERIES Problem Books is a series of the Mathematical Association of America consisting of collections of problems and solutions from annual mathematical competitions; compilations of problems (including unsolved problems) specific to particular branches of mathematics; books on the art and practice of problem solving, etc. Committee on Publications Gerald Alexanderson, Chair Roger Nelsen Editor Irl Bivens Clayton Dodge Richard Gibbs George Gilbert Art Grainger Gerald Heuer Elgin Johnston Kiran Kedlaya Loren Larson Margaret Robinson The Inquisitive Problem Solver, Paul Vaderlind, Richard K. -
I. Overview of Activities, April, 2005-March, 2006 …
MATHEMATICAL SCIENCES RESEARCH INSTITUTE ANNUAL REPORT FOR 2005-2006 I. Overview of Activities, April, 2005-March, 2006 …......……………………. 2 Innovations ………………………………………………………..... 2 Scientific Highlights …..…………………………………………… 4 MSRI Experiences ….……………………………………………… 6 II. Programs …………………………………………………………………….. 13 III. Workshops ……………………………………………………………………. 17 IV. Postdoctoral Fellows …………………………………………………………. 19 Papers by Postdoctoral Fellows …………………………………… 21 V. Mathematics Education and Awareness …...………………………………. 23 VI. Industrial Participation ...…………………………………………………… 26 VII. Future Programs …………………………………………………………….. 28 VIII. Collaborations ………………………………………………………………… 30 IX. Papers Reported by Members ………………………………………………. 35 X. Appendix - Final Reports ……………………………………………………. 45 Programs Workshops Summer Graduate Workshops MSRI Network Conferences MATHEMATICAL SCIENCES RESEARCH INSTITUTE ANNUAL REPORT FOR 2005-2006 I. Overview of Activities, April, 2005-March, 2006 This annual report covers MSRI projects and activities that have been concluded since the submission of the last report in May, 2005. This includes the Spring, 2005 semester programs, the 2005 summer graduate workshops, the Fall, 2005 programs and the January and February workshops of Spring, 2006. This report does not contain fiscal or demographic data. Those data will be submitted in the Fall, 2006 final report covering the completed fiscal 2006 year, based on audited financial reports. This report begins with a discussion of MSRI innovations undertaken this year, followed by highlights -
Press Release E.A.T.—Experiments in Art and Technology
Press Release E.A.T.—Experiments in Art and Technology July 25–November 1, 2015 Mönchsberg [3] & [4] The Museum der Moderne Salzburg presents an international premiere: a Presse comprehensive survey of the groundbreaking projects of E.A.T.—Experiments Mönchsberg 32 in Art and Technology, an evolving association of artists and technologists 5020 Salzburg who wrote history in the 1960s and 1970s with projects between New York and Austria Osaka. The show is on view on the Mönchsberg. T +43 662 842220-601 F +43 662 842220-700 Salzburg, July 24, 2015. The Museum der Moderne Salzburg mounts the first-ever comprehensive retrospective of the activities of Experiments in Art and Technology [email protected] www.museumdermoderne.at (E.A.T.), a unique association of engineers and artists who wrote history in the 1960s and 1970s. Artists like Robert Rauschenberg (1925–2008) and Robert Whitman (b. 1935) teamed up with Billy Klüver (1927–2004), a visionary technologist at Bell Telephone Laboratories, and his colleague Fred Waldhauer (1927–1993) to launch a groundbreaking initiative that would realize works of art in an unprecedented collaborative effort. The Museum der Moderne Salzburg dedicates two levels of its temporary exhibition galleries on the Mönchsberg with over 16,000 sq ft of floor space to this seminal venture fusing art and technology; around two hundred works of art and projects ranging from kinetic objects, installations, and performances to films, videos, and photographs as well as drawings and prints exemplify the most important stages of E.A.T.’s evolution. “In the past smaller exhibitions have highlighted the best-known events in E.A.T.’s history, but a comprehensive panorama of the group’s activities that reveals the full range and diversity of E.A.T.’s output has long been overdue. -
Transnational Mathematics and Movements: Shiing- Shen Chern, Hua Luogeng, and the Princeton Institute for Advanced Study from World War II to the Cold War1
Chinese Annals of History of Science and Technology 3 (2), 118–165 (2019) doi: 10.3724/SP.J.1461.2019.02118 Transnational Mathematics and Movements: Shiing- shen Chern, Hua Luogeng, and the Princeton Institute for Advanced Study from World War II to the Cold War1 Zuoyue Wang 王作跃,2 Guo Jinhai 郭金海3 (California State Polytechnic University, Pomona 91768, US; Institute for the History of Natural Sciences, Chinese Academy of Sciences, Beijing 100190, China) Abstract: This paper reconstructs, based on American and Chinese primary sources, the visits of Chinese mathematicians Shiing-shen Chern 陈省身 (Chen Xingshen) and Hua Luogeng 华罗庚 (Loo-Keng Hua)4 to the Institute for Advanced Study in Princeton in the United States in the 1940s, especially their interactions with Oswald Veblen and Hermann Weyl, two leading mathematicians at the IAS. It argues that Chern’s and Hua’s motivations and choices in regard to their transnational movements between China and the US were more nuanced and multifaceted than what is presented in existing accounts, and that socio-political factors combined with professional-personal ones to shape their decisions. The paper further uses their experiences to demonstrate the importance of transnational scientific interactions for the development of science in China, the US, and elsewhere in the twentieth century. Keywords: Shiing-shen Chern, Chen Xingshen, Hua Luogeng, Loo-Keng Hua, Institute for 1 This article was copy-edited by Charlie Zaharoff. 2 Research interests: History of science and technology in the United States, China, and transnational contexts in the twentieth century. He is currently writing a book on the history of American-educated Chinese scientists and China-US scientific relations. -
The Third in a Three Part Series on Art Not Only How to Explain Modern Art (But How to Have Your Students Create Their Own Abstract Project)
The Third in a Three Part Series on Art Not Only How to Explain Modern Art (But How to Have Your Students Create Their Own Abstract Project) Michael Hoctor Keywords: Paul Gauguin Mark Rothko Pablo Picasso Jackson Pollock Synchromy Peggy Guggenheim Armory Show Collage Abstract expressionism Color Field Painting Action Painting MODERN ABSTRACT ART Part Three This article will conclude with a class lesson to help students appreciate and better understand art without narrative. The class will produce a 20th-Century Abstract Art Project, with an optional step into 21st Century Digital Art. REALISM ABSTRACTION DIVIDE This article skips a small rock across a large body of well-documented art history, including 650,000 books covering fine art that are currently available, as well as approximately 55,000 on critical insights, and almost 15,000 books examining the methods of individual artists and how they approached their work. You, of course can read a lot of them in your spare time! But today, our goal is to is gain a better understanding of why, at the very beginning of the 20th century, there was a major departure in how some groups of "avant-garde" painters approached their canvas, abandoning realistic art. The rock's trajectory attempts to show how the camera's extraordinary technology provoked some phenomenal artists to re- examine how they painted, inventing new methods of applying colors in a far less photographic manner that was far more subjective, departing from: what we see to focus on what way we see. 2 These innovators produced art that in time became incredibly valued. -
August 1995 Council Minutes
AMERICAN MATHEMATICAL SOCIETY COUNCIL MINUTES Burlington, Vermont 05 August 1995 Abstract The Council of the American Mathematical Society met at 1:00 p.m. on Satur- day, 05 August 1995, in the Emerald Grand Ballroom in the Sheraton Burlington, Burlington, Vermont. These are the minutes for the meeting. Members present were Georgia Benkart, Joan Birman, Robert Daverman (vot- ing Associate Secretary), David Epstein, Robert Fossum, John Franks, Ron Gra- ham, Steven Krantz, Andy Magid (Associate Secretary), Cathleen Morawetz, Frank Morgan, Franklin Peterson, Marc Rieffel, Cora Sadosky, Norberto Salinas, Peter Shalen, Lesley Sibner (Associate Secretary), B. A. Taylor, Jean Taylor, and Sylvia Wiegand. Staff and others invited to attend were Don Babbitt (Publisher), Annalisa Cran- nell (Committee on the Profession Representative), Chandler Davis (Canadian Mathematical Society Representative), John Ewing (Executive Director), Tim Gog- gins (Development Officer), Carolyn Gordon (Editorial Boards Committee Repre- sentative), Jim Lewis (Committee on Science Policy Chair), James Maxwell (AED), Don McClure (Trustee), Susan Montgomery (Trustee), Everett Pitcher (Former Secretary), Sam Rankin (AED), and Kelly Young (Assistant to the Secretary). President Morawetz presided. 1 2 CONTENTS Contents IAGENDA 4 0 CALL TO ORDER AND INTRODUCTIONS. 4 1MINUTES 4 1.1March95Council...................................... 4 1.2 05/95 Meeting of the Executive Committee and Board of Trustees. 4 2 CONSENT AGENDA. 4 2.1Resolutions......................................... 4 2.1.1 Exxon Foundation. ......................... 4 2.2CommitteeAdministration................................ 5 2.2.1 Dischargewiththanks............................... 5 2.2.2 CommitteeCharges................................ 5 3 REPORTS OF BOARDS AND STANDING COMMITTEES. 5 3.1 EDITORIAL BOARDS COMMITTEE (EBC). .................. 5 3.1.1 TransactionsandMemoirsEditorialCommittee................. 5 3.1.2 Journal of the AMS . -
Harmonic Analysis and Partial Differential Equations
AMERICAN MATHEMATICAL SOCIETY 107 Harmonic Analysis and Partial Differential Equations Proceedings of a Conference held April 4-5, 1988 http://dx.doi.org/10.1090/conm/107 Titles in This Series Volume 1 Markov random fields and their 19 Proceedings of the Northwestern applications, Ross Kindermann and homotopy theory conference, Haynes J. Laurie Snell R. Miller and Stewart B. Priddy, Editors 2 Proceedings of the conference on 20 Low dimensional topology, Samuel J. integration, topology, and geometry in Lomonaco, Jr., Editor linear spaces, William H. Graves, Editor 21 Topological methods in nonlinear 3 The closed graph and P-closed functional analysis, S. P. Singh, graph properties in general topology, S. Thomaier, and B. Watson, Editors T. R. Hamlett and L. L. Herrington 22 Factorizations of b" ± 1, b = 2, 4 Problems of elastic stability and 3, 5, 6, 7, 10, 11, 12 up to high vibrations, Vadim Komkov, Editor powers, John Brillhart, D. H. Lehmer, 5 Rational constructions of modules J. L. Selfridge, Bryant Tuckerman, and for simple Lie algebras, George B. S. S. Wagstaff, Jr. Seligman 23 Chapter 9 of Ramanujan's second 6 Umbral calculus and Hopf algebras, notebook-Infinite series identities, Robert Morris, Editor transformations, and evaluations, Bruce C. Berndt and Padmini T. Joshi 7 Complex contour integral representation of cardinal spline 24 Central extensions, Galois groups, and functions, Walter Schempp ideal class groups of number fields, A. Frohlich 8 Ordered fields and real algebraic geometry, D. W. Dubois and T. Recio, 25 Value distribution theory and its Editors applications, Chung-Chun Yang, Editor 9 Papers in algebra, analysis and 26 Conference in modern analysis statistics, R. -
2017-IMSA-Fund-Annual-Report.Pdf
1 from the fund board president Jacob Plummer ’96 IMSA Fund Board President A few years ago, a past president of the IMSA Fund Board, John Hoesley, called After joining the board, I learned for the first time of thousands of professional me and said “I’d like you to join us.” I told him “I’ve never heard of the Board – development workshops led by Dr. Storm Robinson’s outreach division at what do you do?” And he said, “We raise money, we open doors, and we support IMSA - impacting students and teachers across Illinois. IMSA.” Like all of us, I am grateful for the funding the State of Illinois provides It was easy to say yes. As an alum, many of my closest friends are people I met for IMSA. Carl Sagan said IMSA was a gift from the people of Illinois on campus. And, IMSA gave me opportunities I hadn’t even imagined. I joined to the human future – and it is. But our community has a role too. The the Board out of gratefulness. However, I’ve stayed on the board for two other contributions of all our donors, our Chicago companies and foundations reasons and these are reasons that might also matter to you. – great supporters like Ball Horticultural Company, Boeing, BP, Caterpillar Foundation, ComEd, Dart Foundation, EcoLab, Hansen-Furnas Foundation, The best thing about joining the board was having a way to connect with the Harris Family Foundation, Nicor Gas, NOAA, Pentair, Sodexo, and Tellabs Academy. Today, I regularly meet students and faculty who have incredible Foundation to name just a few. -
The History of the Abel Prize and the Honorary Abel Prize the History of the Abel Prize
The History of the Abel Prize and the Honorary Abel Prize The History of the Abel Prize Arild Stubhaug On the bicentennial of Niels Henrik Abel’s birth in 2002, the Norwegian Govern- ment decided to establish a memorial fund of NOK 200 million. The chief purpose of the fund was to lay the financial groundwork for an annual international prize of NOK 6 million to one or more mathematicians for outstanding scientific work. The prize was awarded for the first time in 2003. That is the history in brief of the Abel Prize as we know it today. Behind this government decision to commemorate and honor the country’s great mathematician, however, lies a more than hundred year old wish and a short and intense period of activity. Volumes of Abel’s collected works were published in 1839 and 1881. The first was edited by Bernt Michael Holmboe (Abel’s teacher), the second by Sophus Lie and Ludvig Sylow. Both editions were paid for with public funds and published to honor the famous scientist. The first time that there was a discussion in a broader context about honoring Niels Henrik Abel’s memory, was at the meeting of Scan- dinavian natural scientists in Norway’s capital in 1886. These meetings of natural scientists, which were held alternately in each of the Scandinavian capitals (with the exception of the very first meeting in 1839, which took place in Gothenburg, Swe- den), were the most important fora for Scandinavian natural scientists. The meeting in 1886 in Oslo (called Christiania at the time) was the 13th in the series. -
Big in Japan at the 1970 World’S Fair by W
PROOF1 2/6/20 @ 6pm BN / MM Please return to: by BIG IN JAPAN 40 | MAR 2020 MAR | SPECTRUM.IEEE.ORG AT THE 1970 WORLD’S FAIR FAIR WORLD’S 1970 THE AT HOW ART, TECH, AND PEPSICO THEN CLASHED TECH, COLLABORATED, ART, HOW BY W. PATRICK M PATRICK W. BY CRAY c SPECTRUM.IEEE.ORG | MAR 2020 MAR | 41 PHOTOGRAPH BY Firstname Lastname RK MM BP EV GZ AN DAS EG ES HG JK MEK PER SKM SAC TSP WJ EAB SH JNL MK (PDF) (PDF) (PDF) (PDF) (PDF) (PDF) (PDF) Big in Japan I. The Fog and The Floats ON 18 MARCH 1970, a former Japanese princess stood at the tion. To that end, Pepsi directed close to center of a cavernous domed structure on the outskirts of Osaka. US $2 million (over $13 million today) to With a small crowd of dignitaries, artists, engineers, and busi- E.A.T. to create the biggest, most elaborate, ness executives looking on, she gracefully cut a ribbon that teth- and most expensive art project of its time. ered a large red balloon to a ceremonial Shinto altar. Rumbles of Perhaps it was inevitable, but over the thunder rolled out from speakers hidden in the ceiling. As the 18 months it took E.A.T. to design and balloon slowly floated upward, it appeared to meet itself in mid- build the pavilion, Pepsi executives grew air, reflecting off the massive spherical mirror that covered the increasingly concerned about the group’s walls and ceiling. vision. And just a month after the opening, With that, one of the world’s most extravagant and expensive the partnership collapsed amidst a flurry multimedia installations officially opened, and the attendees of recriminating letters and legal threats. -
2019 Annual Report
BECKMAN CENTER 279 Campus Drive West Stanford, CA 94305 650.723.8423 Stanford University | Beckman Center 2019 Annual Report Annual 2019 | Beckman Center University Stanford beckman.stanford.edu 2019 ANNUAL REPORT ARNOLD AND MABEL BECKMAN CENTER FOR MOLECULAR AND GENETIC MEDICINE 30 Years of Innovation, Discovery, and Leadership in the Life Sciences CREDITS: Cover Design: Neil Murphy, Ghostdog Design Graphic Design: Jack Lem, AlphaGraphics Mountain View Photography: Justin Lewis Beckman Center Director Photo: Christine Baker, Lotus Pod Designs MESSAGE FROM THE DIRECTOR Dear Friends and Trustees, It has been 30 years since the Beckman Center for Molecular and Genetic Medicine at Stanford University School of Medicine opened its doors in 1989. The number of translational scientific discoveries and technological innovations derived from the center’s research labs over the course of the past three decades has been remarkable. Equally remarkable have been the number of scientific awards and honors, including Nobel prizes, received by Beckman faculty and the number of young scientists mentored by Beckman faculty who have gone on to prominent positions in academia, bio-technology and related fields. This year we include several featured articles on these accomplishments. In the field of translational medicine, these discoveries range from the causes of skin, bladder and other cancers, to the identification of human stem cells, from the design of new antifungals and antibiotics to the molecular underpinnings of autism, and from opioids for pain -
Lesson Helen Frankenthaler/Color Field Paintings 6 Kimball Art Center & Park City Ed
LESSON 6 Helen Frankenthaler Color Field Paintings Verbal Directions LESSON HELEN FRANKENTHALER/COLOR FIELD PAINTINGS 6 KIMBALL ART CENTER & PARK CITY ED. FOUNDATION LESSON OVERVIEW SUPPLIES • Images of Frankenthaller’s Helen Frankenthaler (1928-2011) was an experimental abstract artwork. expressionist painter, who described her paintings as being • Samples of Color Field improvisations based on real or imaginary ideas of nature. Students Paintings. will work with watercolors and movement to create color fields while • Butcher paper/Tarps/Trays. enriching their understanding of the properties of color in painting. • Scrap paper for Experiments. • White Wax Crayons. INSTRUCTIONAL OBJECTIVES • Watercolor Paper. • Paper Towel/Sponges . • Learn about Helen Frankenthaler. • Liquid watercolors. • Learn about abstraction and the properties of color. • Cups or Palettes • Learn about action painting and the painting process. • Pipettes or Straws. • Create a painting inspired by Helen Frankenthaller’s abstract paintings. HELEN FRANKENTHALLER Helen Frankenthaler (1928-2011) has long been recognized as one of the great American artists of the twentieth century. She was well known among the second generation of postwar American abstract painters and is widely credited for playing a pivotal role in the transition from Abstract Expressionism to Color Field painting. Through her invention of the soak-stain technique, she expanded the possibilities of abstract painting, while at times referencing figuration and landscape in unique ways. She produced a body of work whose impact on contemporary art has been profound and continues to grow. LESSON HELEN FRANKENTHALER/COLOR FIELD PAINTINGS 6 KIMBALL ART CENTER & PARK CITY ED. FOUNDATION LESSON PLAN 1. Introduce students to the work and life of Helen Frankenthaler.