Interview with Arnold Ross
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National Council on the Humanities Minutes, No. 11-15
Office of th8 General Counsel N ational Foundation on the Aria and the Humanities MINUTES OF THE ELEVENTH MEETING OF THE NATIONAL COUNCIL ON THE HUMANITIES Held Monday and Tuesday, February 17-18, 1969 U. S. Department of State Washington, D. C. Members present; Barnaby C. Keeney, Chairman Henry Haskell Jacob Avshalomov Mathilde Krim Edmund F. Ball Henry Allen Moe Robert T. Bower James Wm. Morgan *Germaine Br&e Ieoh Ming Pei Gerald F. Else Emmette W. Redford Emily Genauer Robert Ward Allan A. Glatthorn Alfred Wilhelmi Members absent: Kenneth B. Clark Charles E. Odegaard John M. Ehle Walter J. Ong Paul G. Horgan Eugene B. Power Albert William Levi John P. Roche Soia Mentschikoff Stephen J. Wright James Cuff O'Brien *Present Monday only - 2 - Guests present: *Mr. Harold Arberg, director, Arts and Humanities Program, U. S. Office of Education Dr. William Emerson, assistant to the president, Hollins College, Virginia Staff members present; Dr. James H. Blessing, director, Division of Fellowships and Stipends, and acting director, Division of Research and Publication, National Endowment for the Humanities Dr. S. Sydney Bradford, program officer, Division of Research and Publication, NEH Miss Kathleen Brady, director, Office of Grants, NEH Mr. C. Jack Conyers, director, Office of Planning and Analysis, NEH Mr. Wallace B. Edgerton, deputy chairman, NEH Mr. Gerald George, special assistant to the chairman, NEH Dr. Richard Hedrich, Director of Public Programs, NEH Dr. Herbert McArthur, Director of Education Programs, NEH Miss Nancy McCall, research assistant, Office of Planning and Analysis, NEH Mr. Richard McCarthy, assistant to the director, Office of Planning and Analysis, NEH Miss Laura Olson, Public Information Officer, NEH Dr. -
On the Similarity Transformation Between a Matirx and Its Transpose
Pacific Journal of Mathematics ON THE SIMILARITY TRANSFORMATION BETWEEN A MATIRX AND ITS TRANSPOSE OLGA TAUSSKY AND HANS ZASSENHAUS Vol. 9, No. 3 July 1959 ON THE SIMILARITY TRANSFORMATION BETWEEN A MATRIX AND ITS TRANSPOSE OLGA TAUSSKY AND HANS ZASSENHAUS It was observed by one of the authors that a matrix transforming a companion matrix into its transpose is symmetric. The following two questions arise: I. Does there exist for every square matrix with coefficients in a field a non-singular symmetric matrix transforming it into its transpose ? II. Under which conditions is every matrix transforming a square matrix into its transpose symmetric? The answer is provided by THEOREM 1. For every n x n matrix A — (aik) with coefficients in a field F there is a non-singular symmetric matrix transforming A into its transpose Aτ'. THEOREM 2. Every non-singular matrix transforming A into its transpose is symmetric if and only if the minimal polynomial of A is equal to its characteristic polynomial i.e. if A is similar to a com- panion matrix. Proof. Let T = (ti1c) be a solution matrix of the system Σ(A) of the linear homogeneous equations. (1) TA-ATT=O ( 2 ) T - Tτ = 0 . The system Σ(A) is equivalent to the system (3) TA-ATTT = 0 ( 4 ) T - Tτ = 0 which states that Γand TA are symmetric. This system involves n2 — n equations and hence is of rank n2 — n at most. Thus there are at least n linearly independent solutions of Σ(A).1 On the other hand it is well known that there is a non-singular matrix To satisfying - A* , Received December 18, 1958. -
ITS FIRST FIFTY YEARS Carl Β
THE MATHEMATICAL ASSOCIATION OF AMERICA: ITS FIRST FIFTY YEARS Carl Β. Boyer Brooklyn College, CUNY Richard W. Feldmann Lycoming College Harry M. Gehman SUN Yat Buffalo Phillip S. Jones University of Michigan Kenneth O. May University of Toronto Harriet F. Montague SUNYat Buffalo Gregory H. Moore University of Toronto Robert A. Rosenbaum Wesleyan University Emory P. Starke Rutgers University Dirk J. Struik Massachusetts Institute of Technology THE MATHEMATICAL ASSOCIATION OF AMERICA: ITS FIRST FIFTY YEARS Kenneth O. May, editor University of Toronto, Canada Published and distributed by The Mathematical Association of America Copyright 1972 by THE MATHEMATICAL ASSOCIATION OF AMERICA (INCORPORATED) PREFACE The fiftieth anniversary of the founding of the Mathematical Association of America was celebrated at the 1965 summer meeting at Cornell University [MONTHLY 72, 1053-1059]. The invited addresses on that occasion dealing with the past, present, and future of the Association and of mathematics, were published in the fiftieth anniversary issue [MONTHLY 74, Num. !, Part II] under the editorship of Carl B. Allendoerfer. The historical addresses by A. A. Bennett, R. A. Rosenbaum, W. L. Duren, Jr., and P. S. Jones whetted appetites for a more complete story of the Association. Early in 1966, on a recommendation of the Committee on Publications, President R. L. Wilder appointed a Committee on the Preparation of a Fifty-Year History of the Association consisting of Carl B. Boyer, Kenneth O. May (Chairman), and Dirk J. Struik. An appropriation of one thousand dollars was set aside to meet incidental expenses. The Committee began its work with very ambitious plans, hoping to get financial support for interviewing older members of the Association and the preparation of special studies on particular aspects of the Association's work. -
NN Aug 2013.Indd
NOUVELLES THE O HIO S TATE U NIVERSITY AUGUST 2013 AND D IRECTORY NOUVELLES CENTER FOR M EDIEVAL & R ENAISSANCE S TUDIES CALENDAR AUTUMN 2013 30 AugustA t 2013 15 October 2013 CMRS Lecture Series CMRS Film Series: The Conquerer Worm (1968) Christina Normore, Northwestern University Directed by Michael Reeves Between the Dishes and What Courtiers Found There Starring: Vincent Price, Ian Ogilvy, and Rupert Davies 3:00 PM, 090 18th Avenue Library 7:30 PM, 455B Hagerty Hall 26 October 2013 Ohio Medieval Colloquium Heidelberg University 3 September 2013 Tiffi n, OH CMRS Film Series: Kirikou and the Sorceress (1998) Directed by Michael Ocelot 29 October 2013 Starring: Doudou Gueye Thiaw, Miamouna N’Diaye CMRS Film Series: The Wicker Man (1973) and Awa Sene Directed by Robin Hardy 7:30 PM, 455B Hagerty Hall Starring: Edward Woodward, Christopher Lee, and Diane Cilento 17 September 2013 7:30 PM,M, 455B Hagerty ge y Hall CMRS Film Series: Spirited Away (2001) Directed by Hayao Miyazaki Starring: Daveigh Chase, Suzanne Pleshette, and Susan Egan 7:30 PM, 455B Hagerty Hall 8 November 2013 27 September 2013 CMRS Lecture Series: MRGSA Lecture CMRS Lecture Series: Francis Lee Utley Lecture Co-Sponsored by the Medieval and Renaissance Graduate Co-Sponsored by the Center for Folklore Studies Student Association Luisa Del Giudice, UCLA Christopher Dyer, University of Leicester Mountains of Cheese, Rivers of Wine: Paesi di Cuccagna Diets of the Poor in Medieval England and Other Gastronomic Utopias 3:00 PM, 090 18th Avenue Library 3:00 PM, 090 18th Avenue -
Historical Notes on Loop Theory
Comment.Math.Univ.Carolin. 41,2 (2000)359–370 359 Historical notes on loop theory Hala Orlik Pflugfelder Abstract. This paper deals with the origins and early history of loop theory, summarizing the period from the 1920s through the 1960s. Keywords: quasigroup theory, loop theory, history Classification: Primary 01A60; Secondary 20N05 This paper is an attempt to map, to fit together not only in a geographical and a chronological sense but also conceptually, the various areas where loop theory originated and through which it moved during the early part of its 70 years of history. 70 years is not very much compared to, say, over 300 years of differential calculus. But it is precisely because loop theory is a relatively young subject that it is often misinterpreted. Therefore, it is extremely important for us to acknowledge its distinctive origins. To give an example, when somebody asks, “What is a loop?”, the simplest way to explain is to say, “it is a group without associativity”. This is true, but it is not the whole truth. It is essential to emphasize that loop theory is not just a generalization of group theory but a discipline of its own, originating from and still moving within four basic research areas — algebra, geometry, topology, and combinatorics. Looking back on the first 50 years of loop history, one can see that every decade initiated a new and important phase in its development. These distinct periods can be summarized as follows: I. 1920s the first glimmerings of non-associativity II. 1930s the defining period (Germany) III. 1940s-60s building the basic algebraic frame and new approaches to projective geometry (United States) IV. -
Autumn 2019 Vol. 1
Nouvelles Autumn 2019 Nouvelles Vol. 1 CMRS Calendar September 5 September, 2019 CMRS Autumn 2019 Film Series: “Revolutionary England” Cromwell (1970) 7:00 PM, 198(A) Hagerty Hall 13 September, 2019 MRGSA “Bodies in Motion” Symposium Keynote Lecture: Seeta Chaganti, UC Davis “Sidestepping: Race, Blackface, and the History of Morris Dance Scholarship” 4:00 PM, 3rd Floor Research Commons, 18th Ave. Library 27 September, 2019 CMRS Lecture Series: Dot Porter, University of Pennsylvania “Books of Hours as Transformative Works” 4:00 PM, 3rd Floor Research Commons, 18th Ave. Library October 3 October, 2019 CMRS Autumn 2019 Film Series: “Revolutionary England” To Kill a King (2003) 7:00 PM, 198(A) Hagerty Hall 11 October, 2019 CMRS Public Lecture and Performance: Joshua Jay, Magician “Rediscovering Discoverie: Making Magic’s Oldest Ideas New Again” 7:00 PM, Ohio Union – US Bank Conference Theater 21 October, 2019 CMRS Colloquium Series: Alanna Radlo-Dzur (History of Art) Title TBD 4:00 PM, 198(A) Hagerty Hall 31 October, 2019 CMRS Autumn 2019 Film Series: “Revolutionary England” Witchfinder General (1968) 7:00 PM, 198(A) Hagerty Hall Cover Art: Joshua Jay, who will discuss and demonstrate Reginald Scot's Discoverie of Witchcraft (background image) NOUVELLES Table of Contents NOUVELLES Center for Medieval and Renaissance Studies Director Christopher Highley Associate Director Contents Leslie Lockett Program Coordinator Nicholas Spitulski 4 Graduate Associates Greetings Stephen Barker Manuel Jacquez A Welcome Message from the Director Nouvelles Nouvelles is published by the Center for Medieval and Renaissance Studies and is 6 also available in pdf at http://cmrs.osu.edu/nn. -
Finding Aid Aggregation at a Crossroads
Finding Aid Aggregation at a Crossroads Prepared by Jodi Allison-Bunnell, AB Consulting Edited by Adrian Turner, California Digital Library 2019 May 20 ! This report was prepared for "Toward a National Finding Aid Network," a one-year planning initiative supported by the U.S. Institute of Museum and Library Services under the provisions of the Library Services and Technology Act (LSTA), administered in California by the State Librarian Table of Contents Executive Summary 2 Foundational Assumptions 3 Key Findings 3 Introduction 5 Methodology 5 Findings 6 Purpose and Value 6 Coverage and Scope 6 Resources 7 Infrastructure 7 End Users 8 Data Structure and Content 8 Organizational Considerations 9 A Composite Profile of Aggregators and Meta-Aggregators 9 Statewide and Regional Coverage of Aggregators 10 Extent of Institutions Contributing to Aggregators 11 Extent of Finding Aids Hosted by Aggregators 11 Growth Rate of Aggregators 12 Finding Aid Formats Hosted by Aggregators and Meta-Aggregators 13 Organizational Histories of Aggregators and Meta-Aggregators 14 User Audiences Served by Aggregations and Meta-Aggregators 16 Value Proposition: Strengths, Weaknesses, and Aspirations of Aggregators and Meta- Aggregators 16 Organizational Lifecycle Stages and Vitality of Aggregators and Meta-Aggregators 18 Infrastructure Used by Aggregators and Meta-Aggregators 20 Governance of Aggregations and Meta-Aggregations 23 Resources to Support Aggregations and Meta-Aggregations 23 Defunct Aggregations 28 Individual Archival Repositories and Relationships -
Microfilms International 300 N /EE B ROAD
INFORMATION TO USERS This was produced from a copy of a document sent to us for microfilming. While the most advanced technological means to photograph and reproduce this document have been used, the quality is heavily dependent upon the quality of the material submitted. The following explanation of techniques is provided to help you understand markings or notations which may appear on this reproduction. 1.The sign or “target” for pages apparently lacking from the document photographed is “Missing Page(s)” . If it was possible to obtain the missing page(s) or section, they are spliced into the film along with adjacent pages. This may have necessitated cutting through an image and duplicating adjacent pages to assure you of complete continuity. 2. When an image on the film is obliterated with a round black mark it is an indication that the film inspector noticed either blurred copy because of movement during exposure, or duplicate copy. Unless we meant to delete copyrighted materials that should not have been filmed, you will find a good image of the page in the adjacent frame. 3. When a map, drawing or chart, etc., is part of the material being photo graphed the photographer has followed a definite method in “sectioning” the material. It is customary to begin filming at the upper left hand comer of a large sheet and to continue from left to right in equal sections with small overlaps. If necessary, sectioning is continued again—beginning below the first row and continuing on until complete. 4. For any illustrations that cannot be reproduced satisfactorily by xerography, photographic prints can be purchased at additional cost and tipped into your xerographic copy. -
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The other two groups deal with a variety of plane situa tions: measures of approximation of a convex set by another convex set of some given class (symmetric sets, sets of con stant width etc*)» extremal properties of triangles inscribed in and circumscribed about convex sets, properties of curves of constant width, and so on. Although the general level and workmanship are inferior to those of the author1 s Cambridge Tract on convexity, the present collection contains some interesting and important things and will be of interest to the specialist, Z« A* Melzak, McGill University Fallacies in Mathematics» by E.A. Maxwell, Cambridge University Press, Macmillan Company of Canada L»td. $2*75, In this book the author, a Fellow of Queen1 s College, Cambridge, is acquainting his readers (College and High School teachers as well as interested pupils) in an often amusing and always interesting way with the fallacies a mathematician is apt to meet in the fields of elementary geometry, algebra and trigonometry and calculus* He distinguishes between mistakes (not discussed in the book), howlers and fallacies in the proper sense like this gem: 1= <JT = J(-l){-l) = V-l J-l = i.i = -1. The first 10 serious chapters presenting a choice selection of fallacies in each of the fields with subsequent detailed discussion are followed by a chapter on miscellaneous howlers, e.g., the following. Solve (x+3)(2-x) = 4* Answer: Either x -I- 3 = 4 „ a • x = 1 or 2 - x = 4 / , x = «2, correct» The book is most instructive for any mathematics teacher, Hans Zassenhaus, California Institute of Technology Some Aspects of Analysis and- Probability, by Irving Kaplansky, Marshall Hall Jre , Edwin Hewitt and Robert Fortet* Surveys in Applied Mathematics IV. -
Memories of Arnold Ross
January 2003 FOCUS 1 FOCUS January 2003 FOCUS is published by the Mathematical Association of America in January, February, March, April, May/June, FOCUS August/September, October, November, and December. January 2003 Editor: Fernando Gouvêa, Colby College; [email protected] Volume 23, Number 1 Managing Editor: Carol Baxter, MAA 4Remembering Henry L. Alder (1922-2002) [email protected] By Gerald Alexanderson Senior Writer: Harry Waldman, MAA [email protected] 7Lowell W. Beineke Named Editor of The College Please address advertising inquiries to: Mathematics Journal Carol Baxter, MAA; [email protected] President: Ann E. Watkins, California State 8A Year in the Life of the MAA: The Statistics University, Northridge By Ann Watkins First Vice-President: Carl C. Cowen, Second Vice-President: Joseph A. Gallian, Secretary: 10 NSF’s Advanced Technological Education Program Martha J. Siegel, Associate Secretary: James J. Tattersall, Treasurer: John W. Kenelly By Victor Katz Executive Director: Tina H. Straley 12 NSF Beat: Opportunities at the National Science Foundation Associate Executive Director and Director of Publications and Electronic Services: By Sharon Cutler Ross Donald J. Albers FOCUS Editorial Board: Gerald 13 Report: 14th General Assembly of the International Alexanderson; Donna Beers; J. Kevin Mathematical Union Colligan; Ed Dubinsky; Bill Hawkins; Dan By Harry Waldman, based on a report by Donald G. Saari Kalman; Peter Renz; Annie Selden; Jon Scott; Ravi Vakil. 14 Short Takes Letters to the editor should be addressed to Fernando Gouvêa, Colby College, Dept. of Mathematics, Waterville, ME 04901, or by 15 Letters to the Editor email to [email protected]. Subscription and membership questions 17 Memories of Arnold Ross should be directed to the MAA Customer By Glenn Stevens Service Center, 800-331-1622; e-mail: [email protected]; (301) 617-7800 (outside 18 Being a Mathematics Educator in a Department of Mathematics U.S. -
Emil Artin Lecture Hall.”
Emil - Artin - Lecture Ladies and Gentlemen, on behalf of the Mathematics Center Heidelberg, MATCH, and on behalf of the faculty of mathematics and computer science I would like to welcome all of you to the Emil-Artin-Lecture. The idea of this lecture series, which is organised once a year by MATCH, is to appreciate significant developments and ground breaking contributions in mathematics and to present it to a broader public interested in mathematics. Why do we call it in honour of Emil Artin? Let me say it straight away: Artin does not seem to have any special, close relationship to Heidelberg at all, it is not clear to me, whether he has ever been here! Apart from his fundamental contributions to number theory it is his way of doing and thinking about mathematics, which is a source of inspiration to us and which we consider as a impressive example. Therefore we would like to bear in remembrance Emil Artin and his work. Let me say a few words about Artin before going over to todays lecture: Emil Artin was born in 1898 in Vienna where he grew up before moving to Reichenberg (now Liberec in the Czech Republic) in 1907 where he attended the Realschule. His academic performance then was barely satisfactory and rather irregular. About his mathematical inclination at that early period he later wrote: ªMy own predilection for mathematics manifested itself only in my sixteenth year, whereas earlier there was absolutely no question of any particular aptitude for it.º But after spending a school year in France his marking improved considerably. -
Ranko Bojanic November 12, 1924–February 21, 2017
Available online at www.sciencedirect.com ScienceDirect Journal of Approximation Theory 231 (2018) 1–14 www.elsevier.com/locate/jat In Memoriam In Memoriam: Ranko Bojanic November 12, 1924–February 21, 2017 Ranko Bojanic on July 13 of 1989 in Columbus, Ohio, at PaulN’s house. Ranko Bojanic (aka Bojanic)´ was born on November 12, 1924 in Breza, Yugoslavia (currently Bosnia and Hercegovina) and he was raised in its capital, Belgrade. Ranko studied mathematics at the University of Belgrade where he was awarded a bachelor’s degree in 1950. After graduating, he continued his studies at the Mathematics Institute of the Serbian Academy of Sciences, where he was awarded Doctorate in Mathematics in 1953. Jovan Karamata was his doctoral advisor. Permanent positions were scarce in the 1950s Europe so he accepted several two year visiting positions first at various universities in Yugoslavia and then at the Tata Institute of Fundamental Research in Bombay, India. While there, Gabor´ Szego˝ invited him for a one year visiting position at Stanford University, arriving in the United States in 1959. From Stanford he moved to the University of Notre Dame. When his chairman, Arnold Ross moved from Notre Dame to Ohio State University, Ranko came with him and joined the Department of Mathematics at Ohio State as Associate Professor in 1963. He was promoted to Professor in 1966 and remained there until his retirement in 1995. Ranko’s true passions were research and teaching, with his research focus in classical approximation theory. He was full of ideas, which he liked to share. In the 1970s and 1980s, his office often became a gathering place for students, colleagues, and visitors alikewhere exciting mathematical ideas in analysis were discussed, and problems were solved.