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The Artificial Cold War Content of Game Theory and Operations Research Richard Vahrenkamp [University of Kassel, Germany]
real-world economics review, issue no. 88 subscribe for free Nominal science without data – the artificial Cold War content of Game Theory and Operations Research Richard Vahrenkamp [University of Kassel, Germany] Copyright: Richard Vahrenkamp 2019 You may post comments on this paper at https://rwer.wordpress.com/comments-on-rwer-issue-no-88/ Abstract Expanding upon literature on early digital computers, this paper shows the role mathematicians have undertaken in founding the academic fields of Game Theory and Operations Research, and details how they were supported by the mathematics departments of military agencies in branches of the US Armed Services. This paper claims that application is only decoration. Other than astronomy, physics and engineering, where experiments generate data analysed with the aid of models and appropriate software on computers, Game Theory and Operations Research are not data driven but method driven and remain a branch of applied mathematics. They use the method of “abstractification” in economy and society to derive their models but lack a layer of empirical research needed to generate data and to apply their methods in economics and society. Therefore, their models were only nominal mathematics without application. Introduction Since 1945, the United States had experienced a unique innovation push with the computer, the nuclear weapon, new air combat weapons and the transistor within just a few years. These innovations were accompanied by Game Theory and Operations Research in the academic field. Widely–held is the view that computers supplemented the mathematical concepts of Game Theory and Operations Research and gave these fields a fresh impulse. Together, they established the view of the world as a space of numbers and introduced quantitative methods in economics, political science and in sociology. -
Strength in Numbers: the Rising of Academic Statistics Departments In
Agresti · Meng Agresti Eds. Alan Agresti · Xiao-Li Meng Editors Strength in Numbers: The Rising of Academic Statistics DepartmentsStatistics in the U.S. Rising of Academic The in Numbers: Strength Statistics Departments in the U.S. Strength in Numbers: The Rising of Academic Statistics Departments in the U.S. Alan Agresti • Xiao-Li Meng Editors Strength in Numbers: The Rising of Academic Statistics Departments in the U.S. 123 Editors Alan Agresti Xiao-Li Meng Department of Statistics Department of Statistics University of Florida Harvard University Gainesville, FL Cambridge, MA USA USA ISBN 978-1-4614-3648-5 ISBN 978-1-4614-3649-2 (eBook) DOI 10.1007/978-1-4614-3649-2 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2012942702 Ó Springer Science+Business Media New York 2013 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. -
Koopmans in the Soviet Union
Koopmans in the Soviet Union A travel report of the summer of 1965 Till Düppe1 December 2013 Abstract: Travelling is one of the oldest forms of knowledge production combining both discovery and contemplation. Tjalling C. Koopmans, research director of the Cowles Foundation of Research in Economics, the leading U.S. center for mathematical economics, was the first U.S. economist after World War II who, in the summer of 1965, travelled to the Soviet Union for an official visit of the Central Economics and Mathematics Institute of the Soviet Academy of Sciences. Koopmans left with the hope to learn from the experiences of Soviet economists in applying linear programming to economic planning. Would his own theories, as discovered independently by Leonid V. Kantorovich, help increasing allocative efficiency in a socialist economy? Koopmans even might have envisioned a research community across the iron curtain. Yet he came home with the discovery that learning about Soviet mathematical economists might be more interesting than learning from them. On top of that, he found the Soviet scene trapped in the same deplorable situation he knew all too well from home: that mathematicians are the better economists. Key-Words: mathematical economics, linear programming, Soviet economic planning, Cold War, Central Economics and Mathematics Institute, Tjalling C. Koopmans, Leonid V. Kantorovich. Word-Count: 11.000 1 Assistant Professor, Department of economics, Université du Québec à Montréal, Pavillon des Sciences de la gestion, 315, Rue Sainte-Catherine Est, Montréal (Québec), H2X 3X2, Canada, e-mail: [email protected]. A former version has been presented at the conference “Social and human sciences on both sides of the ‘iron curtain’”, October 17-19, 2013, in Moscow. -
Contemporary Mathematics 442
CONTEMPORARY MATHEMATICS 442 Lie Algebras, Vertex Operator Algebras and Their Applications International Conference in Honor of James Lepowsky and Robert Wilson on Their Sixtieth Birthdays May 17-21, 2005 North Carolina State University Raleigh, North Carolina Yi-Zhi Huang Kailash C. Misra Editors http://dx.doi.org/10.1090/conm/442 Lie Algebras, Vertex Operator Algebras and Their Applications In honor of James Lepowsky and Robert Wilson on their sixtieth birthdays CoNTEMPORARY MATHEMATICS 442 Lie Algebras, Vertex Operator Algebras and Their Applications International Conference in Honor of James Lepowsky and Robert Wilson on Their Sixtieth Birthdays May 17-21, 2005 North Carolina State University Raleigh, North Carolina Yi-Zhi Huang Kailash C. Misra Editors American Mathematical Society Providence, Rhode Island Editorial Board Dennis DeTurck, managing editor George Andrews Andreas Blass Abel Klein 2000 Mathematics Subject Classification. Primary 17810, 17837, 17850, 17865, 17867, 17868, 17869, 81T40, 82823. Photograph of James Lepowsky and Robert Wilson is courtesy of Yi-Zhi Huang. Library of Congress Cataloging-in-Publication Data Lie algebras, vertex operator algebras and their applications : an international conference in honor of James Lepowsky and Robert L. Wilson on their sixtieth birthdays, May 17-21, 2005, North Carolina State University, Raleigh, North Carolina / Yi-Zhi Huang, Kailash Misra, editors. p. em. ~(Contemporary mathematics, ISSN 0271-4132: v. 442) Includes bibliographical references. ISBN-13: 978-0-8218-3986-7 (alk. paper) ISBN-10: 0-8218-3986-1 (alk. paper) 1. Lie algebras~Congresses. 2. Vertex operator algebras. 3. Representations of algebras~ Congresses. I. Leposwky, J. (James). II. Wilson, Robert L., 1946- III. Huang, Yi-Zhi, 1959- IV. -
About Lie-Rinehart Superalgebras Claude Roger
About Lie-Rinehart superalgebras Claude Roger To cite this version: Claude Roger. About Lie-Rinehart superalgebras. 2019. hal-02071706 HAL Id: hal-02071706 https://hal.archives-ouvertes.fr/hal-02071706 Preprint submitted on 18 Mar 2019 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. About Lie-Rinehart superalgebras Claude Rogera aInstitut Camille Jordan ,1 , Universit´ede Lyon, Universit´eLyon I, 43 boulevard du 11 novembre 1918, F-69622 Villeurbanne Cedex, France Keywords:Supermanifolds, Lie-Rinehart algebras, Fr¨olicher-Nijenhuis bracket, Nijenhuis-Richardson bracket, Schouten-Nijenhuis bracket. Mathematics Subject Classification (2010): .17B35, 17B66, 58A50 Abstract: We extend to the superalgebraic case the theory of Lie-Rinehart algebras and work out some examples concerning the most popular samples of supermanifolds. 1 Introduction The goal of this article is to discuss some properties of Lie-Rinehart structures in a superalgebraic context. Let's first sketch the classical case; a Lie-Rinehart algebra is a couple (A; L) where L is a Lie algebra on a base field k, A an associative and commutative k-algebra, with two operations 1. (A; L) ! L denoted by (a; X) ! aX, which induces a A-module structure on L, and 2. -
Data Envelopment
Emrouznejad, A., R. Banker, L. Neralić (2019). Advances in Data Envelopment Analysis: Celebrating the 40th anniversary of DEA and the 100th anniversary of Professor Abraham Charnes’ birthday, European Journal of Operational Research, in Press, https://doi.org/10.1016/j.ejor.2019.02.020 Advances in Data Envelopment Analysis Celebrating the 40th anniversary of DEA and the 100th anniversary of Professor Abraham Charnes’ birthday Ali Emrouznejad1*, Rajiv Banker2, Luka Neralić3 1 Aston Business School, Aston University, Birmingham, UK 2 Fox School of Business and Management, Temple University, Philadelphia, PA 19122, United States 3 University of Zagreb, Faculty of Economics and Business, Zagreb, Croatia Abraham Charnes was born in Hopewell, Virginia, USA on September 4, 1917, son of Harry and Rebecca Charnes. He died on December 19, 1992 in Austin, Texas at the age of 75. Dr. Charnes graduated in mathematics from the University of Illinois (Urbana-Champaign) in 1938, where he also received a master's degree in mathematics in 1939. After that he received a graduate scholarship to study at Harvard, but this was interrupted by World War II. In 1942 he entered the U. S. Naval Reserve as an Ensign OV(S) and worked in electromagnetics, torpedo performance and control, supersonic flight, fire control, weapon damage assessment and did the first U. S. pro-submarine operations research. He returned to the University of Illinois where he received a PhD degree in 1947. His dissertation was entitled “Wing-Body Interaction in Linear Supersonic Flow” (adviser D. G. Bourgin). In 1948/49 he began his post-doctoral academic career as an Assistant Professor of Mathematics at Carnegie Institute of Technology. -
Mathematisches Forschungsinstitut Oberwolfach Enveloping Algebras
Mathematisches Forschungsinstitut Oberwolfach Report No. 13/2005 Enveloping Algebras and Geometric Representation Theory Organised by Shrawan Kumar (Chapel Hill) Peter Littelmann (Wuppertal) Wolfgang Soergel (Freiburg) March 13th – March 19th, 2005 Abstract. The study of Enveloping Algebras has undergone a significant and con- tinuous evolution and moreover has inspired a wide variety of developments in many areas of mathematics including Ring Theory, Differential Operators, Invariant Theory, Quantum Groups and Hecke Algebras. The aim of the workshop was to bring together researchers from diverse but highly interre- lated subjects to discuss new developments and bring forward the research in this whole area by fostering the scientific interaction. Mathematics Subject Classification (2000): 17xx, 22xx, 81xx. Introduction by the Organisers Since its inception in the early seventies, the study of Enveloping Algebras has undergone a significant and continuous evolution and moreover has inspired a wide variety of developments in many areas of mathematics including Ring Theory, Differential Operators, Invariant Theory, Quantum Groups and Hecke Algebras. As indicated above, one of the main goals behind this meeting was to bring together a group of participants with a wide range of interests in and around the geometric and the combinatorial side of the representation theory of Lie groups and algebras. We strongly believe that such an approach to representation theory, in particular interaction between geometry and representation theory, will open up new avenues of thought and lead to progress in a number of areas. This diversity was well reflected in the expertize represented by the conference participants, as well as in the wide range of topics covered. -
Irving Ezra Segal (1918–1998)
mem-segal.qxp 5/12/99 12:57 PM Page 659 Irving Ezra Segal (1918–1998) John C. Baez, Edwin F. Beschler, Leonard Gross, Bertram Kostant, Edward Nelson, Michèle Vergne, and Arthur S. Wightman Irving Segal died suddenly on August 30, 1998, After the war while taking an evening walk. He was seventy-nine Segal spent two and was vigorously engaged in research. years at the Insti- Born on September 13, 1918, in the Bronx, he tute for Advanced grew up in Trenton and received his A.B. from Study, where he Princeton in 1937. What must it have been like to held the first of the be a member of the Jewish quota at Princeton in three Guggenheim the 1930s? He told me once that a fellow under- Fellowships that he graduate offered him money to take an exam in his was to win. Other stead and was surprised when Irving turned him honors included down. election to the Na- He received his Ph.D. from Yale in 1940. His the- tional Academy of sis was written under the nominal direction of Sciences in 1973 Einar Hille, who suggested that Segal continue his and the Humboldt Award in 1981. At and Tamarkin’s investigation of the ideal theory the University of of the algebra of Laplace-Stieltjes transforms ab- Chicago from 1948 solutely convergent in a fixed half-plane. But, Segal to 1960, he had fif- wrote, “For conceptual clarification and for other teen doctoral stu- reasons, an investigation of the group algebra of dents, and at MIT, a general [locally compact] abelian group was of where he was pro- Irving Segal interest.” And the thesis was not restricted to fessor from 1960 abelian groups. -
The Management of Information & Knowledge; Meeting of the Panel on Science and Technology With
DOCUMENT RESUME ED 040 730 LI 002 050 TITLE The Management of Information & Knowledge; Meeting of the Panel on Science and Technology with the Committee on Science and Astronautics, U.S. House of Representatives. INSTITUTION Congress of the U.S., Washington, D.C. House Committee on Science and Astronautics. PUB DATE 70 NOTE 243p.; Proceedings of the 11th meeting, 91st Congress, 2nd session, January 27-29, 1970 EDRS PRICE EDRS Price MF-$1.00 HC-$12.25 DESCRIPTORS *Committees, *Communications, *Computers, *Economics, *Information Processing, Information Systems ABSTRACT The emphasis of the eleventh meeting of the Panelon Science and Technology was on the management of information and knowledge. It was organized essentially as a seminar with twopapers given at each session. The topic of the first twopapers presented was: "Computers, Communications, and the Economy." The papers given at the second session were concerned with the kinds of ideals which have been guiding this society and the adequacy of these ideals. The next two papers covered education in a changing world. The problems of privacy and technological obsolescenceswere covered by another speaker. These papers are interspersed by introductory keynote speeches and discussion, sessions. The appendix contains biographies of the panel participants. (NH) PA$EL, ON SCIENCE AND TgqiNotocy, ' IILEyENTLMMING-' , MANAGEMENT OF INFORMATION & KNOWLEDGE ti, OCEEDING-S, . r;BEFOitE IiiMITTEE JON I AND 18TRONAUTIC$ 1101iSE OF jr,REEIES8NTATIVES' NTETY-FIRST CONGRES 1",SecoNp sESSiopi , e 1 JANUARY 27 '28; AND /29,, 1070i; 1 '1 ./3 [No.' .1 Printed for he use of the Committee\,) au Seienee_ aoa A,stronauttea -1, e. 't, L I . -
An Interview with Martin Davis
Notices of the American Mathematical Society ISSN 0002-9920 ABCD springer.com New and Noteworthy from Springer Geometry Ramanujan‘s Lost Notebook An Introduction to Mathematical of the American Mathematical Society Selected Topics in Plane and Solid Part II Cryptography May 2008 Volume 55, Number 5 Geometry G. E. Andrews, Penn State University, University J. Hoffstein, J. Pipher, J. Silverman, Brown J. Aarts, Delft University of Technology, Park, PA, USA; B. C. Berndt, University of Illinois University, Providence, RI, USA Mediamatics, The Netherlands at Urbana, IL, USA This self-contained introduction to modern This is a book on Euclidean geometry that covers The “lost notebook” contains considerable cryptography emphasizes the mathematics the standard material in a completely new way, material on mock theta functions—undoubtedly behind the theory of public key cryptosystems while also introducing a number of new topics emanating from the last year of Ramanujan’s life. and digital signature schemes. The book focuses Interview with Martin Davis that would be suitable as a junior-senior level It should be emphasized that the material on on these key topics while developing the undergraduate textbook. The author does not mock theta functions is perhaps Ramanujan’s mathematical tools needed for the construction page 560 begin in the traditional manner with abstract deepest work more than half of the material in and security analysis of diverse cryptosystems. geometric axioms. Instead, he assumes the real the book is on q- series, including mock theta Only basic linear algebra is required of the numbers, and begins his treatment by functions; the remaining part deals with theta reader; techniques from algebra, number theory, introducing such modern concepts as a metric function identities, modular equations, and probability are introduced and developed as space, vector space notation, and groups, and incomplete elliptic integrals of the first kind and required. -
Robert Macpherson Seen Through the Eyes of Others
Robert MacPherson seen through the eyes of others Compiled by Lizhen Ji June 1, 2006 Happy Birthday, Bob! 1 Introduction Robert MacPherson has made fundamental contributions to many branches of mathematics. His best known result is probably the joint work with Mark Goresky which established the intersection (co)homology of singular spaces.1 Another major piece of work, joint with Bill Fulton, also concerns the inter- section theory, which is rooted in a problem of Hilbert and led to the award2 winning book by Bill Fulton. 3 A partial list of other major topics in his work is the following: 1. Stratified Morse theory4 2. Characteristic classes of singular spaces, Rimann-Roch, K-groups etc. 3. Topological trace formula and weighted cohomology 1See Steven Kleiman’s survey paper for the discovery and many applications of the intersection homology, The development of intersection homology theory, in A century of mathematics in America, Part II, 543–585, Hist. Math., 2, Amer. Math. Soc., Providence, RI, 1989. 21996 Steele Prize of the American Mathematical Society. 3Intersection Theory, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge., Springer, 1998. 4See the survey article by David Massey in the special issues of Pure and Applied Mathematics Quarterly. 1 4. Geometric approach to Langlands program (equivariant cohomology etc) 5. Reduction theory and geometry of locally symmetric varieties5 6. Kalai conjecture on IH of toric varieties 7. Combinatorial manifolds 8. Configuration spaces and compactifications of various spaces 9. Polylogarithms, etc His approach to mathematics is geometric.6 In fact, his lectures are also geometric. Pictures and diagrams in colors are an important part. -
Maa 5229 Introductory Analysis 2 Change(S) Requested
UGPC APPROVAL __________________ Florida Atlantic University UFS APPROVAL ___________________ SCNS SUBMITTAL _________________ CONFIRMED ______________________ BANNER POSTED ___________________ CATALOG POSTED __________________ Graduate Programs—COURSE CHANGE REQUEST WEB POSTED _____________________ DEPARTMENT NAME: COLLEGE OF: MATHEMATICAL SCIENCES SCIENCE COURSE PREFIX & NUMBER: CURRENT COURSE TITLE: MAA 5229 INTRODUCTORY ANALYSIS 2 CHANGE(S) REQUESTED SHOW “X” IN FRONT OF OPTION SHOW “X” IN FRONT OF OPTION CHANGE PREFIX FROM TO: CHANGE TITLE TO: CHANGE COURSE NO. FROM TO: CHANGE DESCRIPTION TO: CHANGE CREDITS FROM TO: CHANGE PREREQUISITES TO: Continuation of topics in MAA 5228. Metric space topology, uniform convergence, Arzela-Ascoli theorem, differentiation and CHANGE COREQUISITES TO: integration of single variable functions, power series, Stone- CHANGE OTHER REGISTRATION CONTROLS TO: Weierstrauss Theorem, measure theory, Lebesgue integral, convergence theorems for the Lebesgue integral, CHANGE GRADING FROM TO: absolute continuity, the fundamental theorem of calculus. OTHER CHANGES TO BE EFFECTIVE (TERM): Attach syllabus for ANY FALL 2008 changes to current course information. Will the requested change(s) cause this course to overlap any Any other departments and/or colleges that might be affected by other FAU course(s)? If yes, please list course(s). the change(s) must be consulted. List entities that have been consulted and attach written comments from each. YES NO X NONE TERMINATE COURSE, EFFECTIVE (GIVE LAST TERM COURSE IS TO BE ACTIVE): Faculty Contact, Email, Complete Phone Number: W. KALIES, WKALIES @ FAU . EDU , (561) 297-1107 SIGNATURES SUPPORTING MATERIALS Approved by: Date: Syllabus—must include all criteria as detailed in UGPC Guidelines. Department Chair: __________________________________ _________________ Go to: www. fau.edu/graduate/gpc/index.php College Curriculum Chair: ____________________________ _________________ to access Guidelines and to download this form.