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2009-01-Solvoll.Pdf (1.176Mb)
Televised sport Exploring the structuration of producing change and stability in a public service institution Mona Kristin Solvoll A dissertation submitted to BI Norwegian School of Management for the degree of Ph.D Series of Dissertations 1/2009 BI Norwegian School of Management Department of Public Governance Mona Kristin Solvoll Televised sport - exploring the structuration of producing change and stability in a public service institution © Mona Kristin Solvoll 2009 Series of Dissertations 1/2009 ISBN: 978 82 7042 944 8 ISSN: 1502-2099 BI Norwegian School of Management N-0442 Oslo Phone: +47 4641 0000 www.bi.no Printing: Nordberg The dissertation may be ordered from our website www.bi.no (Research – Research Publications) ii Acknowledgements Many people have contributed in various ways to this project. I am indebted to my outstanding supervisor Professor Tor Hernes for his very unusual mind. I am grateful to the Norwegian Research Council for the funding of this thesis and to the Department of Public Governance at Norwegian School of Management, BI. Special thanks to the boys at the Centre for Media Economics and to Professor Rolf Høyer who brought me to BI. I would also like to thank the Department of Innovation and Economic Organization that generously welcomed me. Very special thanks to the Department Administrators Ellen A. Jacobsen and Berit Lunke for all their help and bright smiles. I have received valuable inspiration from many “senior” colleagues, in particular professor Tore Bakken and Professor Lars Thue. Special thanks to Professor Nick Sitter, although he supports the wrong team. Thanks also to my proof-reader, Verona Christmas-Best and the members of the committee for their insightful, comments and criticism. -
Set Theory, by Thomas Jech, Academic Press, New York, 1978, Xii + 621 Pp., '$53.00
BOOK REVIEWS 775 BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY Volume 3, Number 1, July 1980 © 1980 American Mathematical Society 0002-9904/80/0000-0 319/$01.75 Set theory, by Thomas Jech, Academic Press, New York, 1978, xii + 621 pp., '$53.00. "General set theory is pretty trivial stuff really" (Halmos; see [H, p. vi]). At least, with the hindsight afforded by Cantor, Zermelo, and others, it is pretty trivial to do the following. First, write down a list of axioms about sets and membership, enunciating some "obviously true" set-theoretic principles; the most popular Hst today is called ZFC (the Zermelo-Fraenkel axioms with the axiom of Choice). Next, explain how, from ZFC, one may derive all of conventional mathematics, including the general theory of transfinite cardi nals and ordinals. This "trivial" part of set theory is well covered in standard texts, such as [E] or [H]. Jech's book is an introduction to the "nontrivial" part. Now, nontrivial set theory may be roughly divided into two general areas. The first area, classical set theory, is a direct outgrowth of Cantor's work. Cantor set down the basic properties of cardinal numbers. In particular, he showed that if K is a cardinal number, then 2", or exp(/c), is a cardinal strictly larger than K (if A is a set of size K, 2* is the cardinality of the family of all subsets of A). Now starting with a cardinal K, we may form larger cardinals exp(ic), exp2(ic) = exp(exp(fc)), exp3(ic) = exp(exp2(ic)), and in fact this may be continued through the transfinite to form expa(»c) for every ordinal number a. -
The Logic of Brouwer and Heyting
THE LOGIC OF BROUWER AND HEYTING Joan Rand Moschovakis Intuitionistic logic consists of the principles of reasoning which were used in- formally by L. E. J. Brouwer, formalized by A. Heyting (also partially by V. Glivenko), interpreted by A. Kolmogorov, and studied by G. Gentzen and K. G¨odel during the first third of the twentieth century. Formally, intuitionistic first- order predicate logic is a proper subsystem of classical logic, obtained by replacing the law of excluded middle A ∨¬A by ¬A ⊃ (A ⊃ B); it has infinitely many dis- tinct consistent axiomatic extensions, each necessarily contained in classical logic (which is axiomatically complete). However, intuitionistic second-order logic is inconsistent with classical second-order logic. In terms of expressibility, the intu- itionistic logic and language are richer than the classical; as G¨odel and Gentzen showed, classical first-order arithmetic can be faithfully translated into the nega- tive fragment of intuitionistic arithmetic, establishing proof-theoretical equivalence and clarifying the distinction between the classical and constructive consequences of mathematical axioms. The logic of Brouwer and Heyting is effective. The conclusion of an intuitionistic derivation holds with the same degree of constructivity as the premises. Any proof of a disjunction of two statements can be effectively transformed into a proof of one of the disjuncts, while any proof of an existential statement contains an effec- tive prescription for finding a witness. The negation of a statement is interpreted as asserting that the statement is not merely false but absurd, i.e., leads to a contradiction. Brouwer objected to the general law of excluded middle as claim- ing a priori that every mathematical problem has a solution, and to the general law ¬¬A ⊃ A of double negation as asserting that every consistent mathematical statement holds. -
Interviewed by T. Christine Stevens)
KENNETH A. ROSS JANUARY 8, 2011 AND JANUARY 5, 2012 (Interviewed by T. Christine Stevens) How did you get involved in the MAA? As a good citizen of the mathematical community, I was a member of MAA from the beginning of my career. But I worked in an “AMS culture,” so I wasn’t actively involved in the MAA. As of January, 1983, I had never served on an MAA committee. But I had been Associate Secretary of the AMS from 1971 to 1981, and thus Len Gillman (who was MAA Treasurer at the time) asked me to be MAA Secretary. There was a strong contrast between the cultures of the AMS and the MAA, and my first two years were very hard. Did you receive mentoring in the MAA at the early stages of your career? From whom? As a graduate student at the University of Washington, I hadn’t even been aware that the department chairman, Carl Allendoerfer, was serving at the time as MAA President. My first mentor in the MAA was Len Gillman, who got me involved with the MAA. Being Secretary and Treasurer, respectively, we consulted a lot, and he was the one who helped me learn the MAA culture. One confession: At that time, approvals for new unbudgeted expenses under $500 were handled by the Secretary, the Treasurer and the Executive Director, Al Wilcox. The requests usually came to me first. Since Len was consistently tough, and Al was a push-over, I would first ask the one whose answer would agree with mine, and then with a 2-0 vote, I didn’t have to even bother the other one. -
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 -
OPEN SUNDAY a T Fil£Uwt)4 Manrhfhtrr Congress Misses
24 - MANCHESTER HERALD. Fri., Dec, 17, 1982 Even Santa Claus |25 years a Santa Dristan recalled Town joins and still at it |fn tampering scare IfesY law foes would be offended '■■"Y ...page 3 ... page 11 ...page 4 The "pornography of s u m Though a stiff recession has put nearly 12 million excesses” — which include h Americans out of work — the likes of a $150 gold < 1 ; I the highest jobless rate in toothpick with retractable SALE 31 years — it’s holiday gift Dan Dorfman point — is something most giving as usual by the of us laugh about. But rather, it may be nouveau riche, the Syndicated tasteless and the show-offs something to be concerned Increasing clouds Manchester, Conn. about. It defines even (the folks who have it and (Columnist Saturday, Dec. 18, 1982 want to flaunt it). In fact, more, as DeVoe points out, star* SKCUL Sunday afternoon the rapidly growing, line judging from the slew of — See page 2 Single copy 25cp newspaper ads and between the haves and thr M a n r h fH tr r catalogs geared to the lofty have-nots . and that's Free 5 yr. picture tube income bracket, retailing's what class frictions are all pitch to those with a yen • Your own personal cost in '81. about. Warranty on ALL for the ostentatious — or home computer consultant BY THE WAY, if you mo.e aptly called the who will not only teach you haven't made your New Color Televi$ioR • '•tl obscene — is as great as it how to become the com- Year’s Eve plans yet, has ever been. -
Sir Andrew J. Wiles
ISSN 0002-9920 (print) ISSN 1088-9477 (online) of the American Mathematical Society March 2017 Volume 64, Number 3 Women's History Month Ad Honorem Sir Andrew J. Wiles page 197 2018 Leroy P. Steele Prize: Call for Nominations page 195 Interview with New AMS President Kenneth A. Ribet page 229 New York Meeting page 291 Sir Andrew J. Wiles, 2016 Abel Laureate. “The definition of a good mathematical problem is the mathematics it generates rather Notices than the problem itself.” of the American Mathematical Society March 2017 FEATURES 197 239229 26239 Ad Honorem Sir Andrew J. Interview with New The Graduate Student Wiles AMS President Kenneth Section Interview with Abel Laureate Sir A. Ribet Interview with Ryan Haskett Andrew J. Wiles by Martin Raussen and by Alexander Diaz-Lopez Allyn Jackson Christian Skau WHAT IS...an Elliptic Curve? Andrew Wiles's Marvelous Proof by by Harris B. Daniels and Álvaro Henri Darmon Lozano-Robledo The Mathematical Works of Andrew Wiles by Christopher Skinner In this issue we honor Sir Andrew J. Wiles, prover of Fermat's Last Theorem, recipient of the 2016 Abel Prize, and star of the NOVA video The Proof. We've got the official interview, reprinted from the newsletter of our friends in the European Mathematical Society; "Andrew Wiles's Marvelous Proof" by Henri Darmon; and a collection of articles on "The Mathematical Works of Andrew Wiles" assembled by guest editor Christopher Skinner. We welcome the new AMS president, Ken Ribet (another star of The Proof). Marcelo Viana, Director of IMPA in Rio, describes "Math in Brazil" on the eve of the upcoming IMO and ICM. -
Indianapolis' Circle City Lodge
Indianapolis' Circle City Lodge - Sons of Norway Luren Velkommen til vårt sammenkomst! March-April, 2014 Issue 23 Volume 2 Fra Presidenten Inside this Issue (From the President) Kalendar 2 Olympics 2-3 Litt av Hvert 3-4 Dear lodge members, friends and family, Stavanger Band 4 Birthdays 4 Win Trip-Norway 4 It looks like we’re two months, two more successful Sammenkomster and at least one polar Odden/B. Tour 4-5 vortex into a brand new year. Which means that your board members are hard at work figuring Book Review 5-6 out where we‘d like the state of the lodge to be in February of 2015 and planning how to get Figure Carving 6 Apricot Bars 6-7 there. Easter Tradition 7 Samuelsen trip 7-8 Before we get into this year’s goals, let me introduce myself for those of you I haven’t had the chance to meet. My name is Tim Lisko, I’m an adjunct professor of Photography at Franklin President College, and your new lodge President. Tim Lisko What that means for me is that I have a lot of learning to do. It’s going to be my job during Vice President Dagrun Bennett these next few months and for the duration of my term to glean as much as I can from the experience and wisdom of past presidents, board members and, of course, the long-time Secretary membership. Nancy Andersen Treasurer What I’d like to do this year with the support and approval of the board and general Burt Bittner membership is to take what we do best -- getting together as a community of people who love the Social Co-directors culture, history and people of Norway -- and use it to get the word out to anybody else who’d fit Mike Jacobs right in. -
LMS – EPSRC Durham Symposium
LMS – EPSRC Durham Symposium Anthony Byrne Grants and Membership Administrator 12th July 2016, Durham The work of the LMS for mathematics The charitable aims of the Society: Funding the advancement of mathematical knowledge Encouraging mathematical research and collaboration ’, George Legendre Celebrating mathematical 30 Pieces achievements Publishing and disseminating mathematical knowledge Advancing and promoting mathematics The attendees of the Young Researchers in Mathematics Conference 2015, held at Oxford Historical Moments of the London Mathematical Society 1865 Foundation of LMS at University College London George Campbell De Morgan organised the first meeting, and his father, Augustus De Morgan became the 1st President 1865 First minute book list of the 27 original members 1866 LMS moves to Old Burlington House, Piccadilly J.J. Sylvester, 2nd President of the Society. 1866 Julius Plûcker Thomas Hirst Plûcker Collection of boxwood models of quartic surfaces given to Thomas Archer Hirst, Vice- President of LMS, and donated to the Society 1870 Move to Asiatic Society, 22 Albemarle Street William Spottiswoode, President 1874 Donation of £1,000 from John William Strutt (Lord Rayleigh) Generous donation enabled the Society to publish volumes of the Proceedings of the London Mathematical Society. J.W. Strutt (Lord Rayleigh), LMS President 1876-78 1881 First women members Charlotte Angas Scott and Christine Ladd 1884 First De Morgan medal awarded to Arthur Cayley 1885 Sophie Bryant First woman to have a paper published in LMS Proceedings 1916 Return to Burlington House the home of LMS until 1998 1937 ACE ’s Automatic Turing LMS Proceedings, 1937 Computing Engine, published Alan Turing’s first paper 1950 On Computable Numbers 1947 Death of G.H. -
On Families of Mutually Exclusive Sets
ANNALS OF MATHEMATICS Vol. 44, No . 2, April, 1943 ON FAMILIES OF MUTUALLY EXCLUSIVE SETS BY P . ERDÖS AND A. TARSKI (Received August 11, 1942) In this paper we shall be concerned with a certain particular problem from the general theory of sets, namely with the problem of the existence of families of mutually exclusive sets with a maximal power . It will turn out-in a rather unexpected way that the solution of these problems essentially involves the notion of the so-called "inaccessible numbers ." In this connection we shall make some general remarks regarding inaccessible numbers in the last section of our paper . §1. FORMULATION OF THE PROBLEM . TERMINOLOGY' The problem in which we are interested can be stated as follows : Is it true that every field F of sets contains a family of mutually exclusive sets with a maximal power, i .e . a family O whose cardinal number is not smaller than the cardinal number of any other family of mutually exclusive sets contained in F . By a field of sets we understand here as usual a family F of sets which to- gether with every two sets X and Y contains also their union X U Y and their difference X - Y (i.e. the set of those elements of X which do not belong to Y) among its elements . A family O is called a family of mutually exclusive sets if no set X of X of O is empty and if any two different sets of O have an empty inter- section. A similar problem can be formulated for other families e .g . -
Completeness
Completeness The strange case of Dr. Skolem and Mr. G¨odel∗ Gabriele Lolli The completeness theorem has a history; such is the destiny of the impor- tant theorems, those for which for a long time one does not know (whether there is anything to prove and) what to prove. In its history, one can di- stinguish at least two main paths; the first one covers the slow and difficult comprehension of the problem in (what historians consider) the traditional development of mathematical logic canon, up to G¨odel'sproof in 1930; the second path follows the L¨owenheim-Skolem theorem. Although at certain points the two paths crossed each other, they started and continued with their own aims and problems. A classical topos of the history of mathema- tical logic concerns the how and the why L¨owenheim, Skolem and Herbrand did not discover the completeness theorem, though they proved it, or whe- ther they really proved, or perhaps they actually discovered, completeness. In following these two paths, we will not always respect strict chronology, keeping the two stories quite separate, until the crossing becomes decisive. In modern pre-mathematical logic, the notion of completeness does not appear. There are some interesting speculations in Kant which, by some stretching, could be realized as bearing some relation with the problem; Kant's remarks, however, are probably more related with incompleteness, in connection with his thoughts on the derivability of transcendental ideas (or concepts of reason) from categories (the intellect's concepts) through a pas- sage to the limit; thus, for instance, the causa prima, or the idea of causality, is the limit of implication, or God is the limit of disjunction, viz., the catego- ry of \comunance". -
P13 5 Layout 1
Established 1961 13 Sports Tuesday, January 16, 2018 Drones, aircraft and injuries fail to stop Marcel Hirscher On the World Cup circuit, Hirscher is peerless WENGEN: It takes more than an ankle injury, a mishap really hard to compete with him... we are trying our best,” involving a military aircraft or a drone falling on to the said Swedish skier Andre Myhrer after the Wengen race. piste to stop Marcel Hirscher. The relentless Austrian is The all-action Hirscher chooses motocross, kayaking and recognised as one of the finest-ever skiers after winning white-water rafting as his way of relaxing although he six successive titles in the overall World Cup, regarded as likes a quiet walk to wind down after a big race. It seems the pinnacle for skiers as it combines results from all disci- that nothing can get in his way. Two years ago, Hirscher plines over the whole season. was nearly struck by a camera-carrying drone which fell Yet, an Olympic gold remains conspicuously absent from the air and missed him by centimetres during a World from the 28-year-old slalom specialist’s trophy cabinet. He Cup giant slalom at Madonna di Campiglio. He went on to missed out on medals at the finish second. 2010 Games, finishing fourth in Last year, the giant slalom the giant slalom and fifth in the at the world championships in slalom, and had to settle for St Moritz was delayed after a silver in the giant slalom in military aircraft taking part in Sochi where he was pipped by a training exercise cut the compatriot Mario Matt on a If I win gold, cable of an overhead television tough, controversial course.