DOCSLIB.ORG

Equations Are Unknown, Inadequate Or Incom­ Is an Important Component of Science and Pletely Understood

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text

Load more

Denver Meetings (January 3-9)- Page 19 Notices of the American Mathematical Society January 1983, Issue 223 Volume 30, Number 1, Pages 1-136 Providence, Rhode Island USA ISSN 0002-9920 Calendar of AMS Meetings THIS CALENDAR lists all meetings whi'h have been approved by the Coundl prior to the date this issue of the Notices was sent to press. The summer and annual meetings are joint meetings of the Mathemati,al Asso,iation of Ameri'a and the Ameri· can Mathematical Society. The meeting dates which fall rather far in the future are subject to change; this is parti,ularly true of meetings to which no numbers have yet been assigned. Programs of the meetings will appear in the issues indicated below. First and second announcements of the meetings will have appeared in earlier issues . .ABSTRACTS OF PAPERS presented at a meeting of the Society are published in the journal Abstracts of papers presented to the American Mathematical Society in the issue 'orresponding to that of the Notices whkh contains the program of the meet· ing. Abstracts should be submitted on special forms which are available in many departments of mathematics and from the office of the Society in Provide-nce. Abstra,ts of papers to be presented at the meeting must be received at the headquarters of the Society in Providence, Rhode Island, on or before the deadline given below for the meeting. Note that the deadline for ab· stracts submitted for consideration for presentation at special sessions is usually three weeks earlier than that spedfied below. For additional information consult the meeting announcement and the list of organizers of special sessions. MEETING ABSTRACT NUMBER DATE PLACE DEADLINE ISSUE 801 january 5-9, 1983 Denver, Colorado OCTOBER 12, 1982 january (89th Annual Meeting} 1983 802 March 18-19, 1983 Norman, Oklahoma JANUARY 20, 1983 February 803 April 14-15, 1983 New York, New York FEBRUARY 15, 1983 April 804 April 29-30, 1983 Salt Lake City, Utah FEBRUARY 21, 1983 April 805 August 8-12, 1983 Albany, New York MAY 17, 1983 August (87th Summer Meeting} january 25-29, 1984 Louisville, Kentucky (90th Annual Meeting} January 9-13, 1985 Anaheim, California (91 st Annual Meeting} january 21-25, 1987 San Antonio, Texas (93rd Annual Meeting} DEADLINES: Advertising (February Issue) February 3, 1983 (Apr// Issue) March 3, 1983 News/Special Meetings: (February Issue) January 17, 1983 (April Issue) February 14, 1983 Other Events Sponsored by the Society January 3-4, 1983, AMS Short Course: Computer Communications, Denver, Colorado. This issue, page 20. April12-13, 1983, AMS-SIAM Symposium on Inverse Problems, New York Statler Hotel, New York, New York. This issue, page 71. May 1983, Symposium on Some Mathematical Questions in Biology, Detroit, Michigan. June 5-August 13, 1983, AMS Summer Research Conferences, University of Colorado, Boulder, Colorado. This issue, page 74. june 27-july 8, 1983, AMS-SIAM Summer Seminar on Large-scale Computations in Fluid Mechanics, Scripps Institution of Oceanography, Lajolla, California. This issue, page 72. july 11-29, 1983, AMS Summer Research Institute on Nonlinear Functional Analysis and Applications, University of California, Berkeley. This issue, page 72. Subscribers' changes of addrass should ba reported well in advance to avoid disruption of service: address labals are prepared four to six weeks in advance of the date of mailing. Requests for a change of address should always include the membar or subscriber code and preferably a copy of the entire mailing label. Members are reminded that U. S. Postal Service change-of­ address forms are not adequate for this purpose, since they make no provision for several important items of information which are essential for the AMS records. Suitable forms are published from time to time in the Notices (e.g. June 1980, page 378). Send change of address notices to the Society at Post Office Box 6248, Providence, Rl 02940. [Notices is published eight times a year (January, February, April, June, August, October, November, December) by the American Mathematical Society at 201 Charles Street, Providence, Rl 02904. Second class postage paid at Providence, Rl and additional mailing offices. POSTMASTER: Send address change notices to Membership and Sales Department, American Mathematical Society, Post Office Box 6248, Providence, Rl 02940.) Publication here of the Society's street address, and the other information in brackets above, is a technical requirement of the U. S. Postal Service. The street address should never ba used by correspondents, unless they plan to deliver their messages by hand. Membars are strongly urged to notify the Society themselves of address changes (in the manner described above), since (as explained above) reliance on the postal service change-of-address forms is liable to causa delays in processing such requests in the AMS office. Notices of the American Mathematical Society Volume 30, Number 1, January 1983 EDITORIAL COMMITTEE Ralph P. Boas, Ed Dubinsky Richard J. Griego, Susan Montgomery Mary Ellen Rudin, Bertram Walsh Everett Pitcher (Chairman) MANAGING EDITOR Lincoln K. Durst ASSOCIATE EDITORS Hans Samelson, Queries 3 Union Mathematique lnternationale Ronald L. Graham, Special Articles 4 Mathematics Program Review: Problems SUBSCRIPTION ORDERS Subscription for Vol. 30 (1983): and Opportunities, james G. Glimm $39 list, $20 member. The subscription 7 Primes, Codes and the National Security price for members is included in the annual dues. Subscriptions and orders Agency, Susan Landau for AMS publications should be 11 Queries addressed to the American Mathematical Society, P. 0. Box 1571, Annex Station, 12 Letters to the Editor Providence, Rl 02901. All orders must be prepaid. 13 News and Announcements ORDERS FOR AMS BOOKS AND 15 NSF News & Reports INQUIRIES ABOUT SALES, SUBSCRIP­ TIONS, AND DUES may be made by 19 Future Meetings of the Society calling Carol-Ann Blackwood at Denver, january 5-9, 19 800-556-7774 (toll free in U.S.) between Mathematical Sciences Employment Register, 38 8:00a.m. and 4:15p.m. eastern time, Monday through Friday. Norman, March 78-79, 68 New York City, April 74-75, 70 CHANGE OF ADDRESS. To avoid Summer Research Institute, 72 interruption in service please send AMS-SIAM Summer Seminar, 72 address changes four to six weeks in advance. It is essential to include the AMS Summer Research Conferences, 74 member code which appears on the Invited Speakers and Special Sessions, 75 address label with all correspondence regarding subscriptions. 77 Special Meetings INFORMATION ABOUT ADVERTISING 81 New AMS Publications in the Notices may be obtained from Wahlene Siconio at 401-272-9500. 86 Miscellaneous Personal Items, 86; Deaths, 86; CORRESPONDENCE, including changes Visiting Mathematicians (Supplement), 86 of address ~:hould be sent to American Mathematical Society, P.O. Box 6248, 87 AMS Reports and Communications Providence, Rl 02940. Recent Appointments, 87; Second class postage paid at Reports of Past Meetings: Toronto, 88 Providence, Rl, and additional mailing offices. Copyright © 1982 by the 90 Advertisements American Mathematical Society. Printed in the United States of America. 136 Registration Form (New York City) MATH FILE Mathematical Reviews Online MATHFILE is the online version of MATHEMATICAL REVIEWS, the authoritative record of published mathematical literature throughout the world. MR, a publication of the American Mathematical Society, provides essentially complete worldwide coverage of pure mathematics as well as those works in applied mathematics, physics, engineering, computer science, biology, operations research and other fields containing new and interesting mathematics. It contains reviews of 35,000 to 40,000 items each year which have been published in over 1,500 journals, books and book series. All this material is available online with BRS and Dialog. The database, called MATHFILE, includes all bibliographic and subject information on articles and books reviewed in Mathematical Reviews since 1973. The file will be updated monthly with the addition of approximately 3,000 new items. In addition to the bibliographic information, MATHFILE contains all the primary and secondary subject classifications attached to those items. Furthermore, starting with the material from mid-1979 issues of Mathematical Reviews, the text of each review is in the file. Additional information may be obtained from J. L. Selfridge, Executive Editor, (313) 764-7228 Mathematical Reviews, 611 Church Street, P. 0. Box 8604, Ann Arbor, Michigan 48107 Taissa T. Kusma, Database Specialist, (401) 272-9500 American Mathematical Society, P .0. Box 6248, Providence, Rhode Island 02940 MATH FILE User's Guide A user's guide has been prepared by the Society to make searching MATHFILE easier, more effective and faster. The Guide includes: Instructions. How to get started on the vendor's system, an explanation of the file and suggestions on search techniques. List of Journals. Journal name abbreviations used by Mathematical Reviews, and the full titles as defined by the Library of Congress and those used by Mathematical Reviews; the ISSN, Coden, and useful publishing information. Subject Classification Systems. A correlated display of the two (1970and 1980) slightly different MR systems, and the Library of Congress system. Index of terms occurring in the subject classification. Alphabetic listing of subject words from the MR classification system with the corresponding class numbers given for each. This list will be very helpful to searchers unfamiliar
Recommended publications
  • Diamondoid Mechanosynthesis Prepared for the International Technology Roadmap for Productive Nanosystems

    Diamondoid Mechanosynthesis Prepared for the International Technology Roadmap for Productive Nanosystems

    IMM White Paper Scanning Probe Diamondoid Mechanosynthesis Prepared for the International Technology Roadmap for Productive Nanosystems 1 August 2007 D.R. Forrest, R. A. Freitas, N. Jacobstein One proposed pathway to atomically precise manufacturing is scanning probe diamondoid mechanosynthesis (DMS): employing scanning probe technology for positional control in combination with novel reactive tips to fabricate atomically-precise diamondoid components under positional control. This pathway has its roots in the 1986 book Engines of Creation, in which the manufacture of diamondoid parts was proposed as a long-term objective by Drexler [1], and in the 1989 demonstration by Donald Eigler at IBM that individual atoms could be manipulated by a scanning tunelling microscope [2]. The proposed DMS-based pathway would skip the intermediate enabling technologies proposed by Drexler [1a, 1b, 1c] (these begin with polymeric structures and solution-phase synthesis) and would instead move toward advanced DMS in a more direct way. Although DMS has not yet been realized experimentally, there is a strong base of experimental results and theory that indicate it can be achieved in the near term. • Scanning probe positional assembly with single atoms has been successfully demonstrated in by different research groups for Fe and CO on Ag, Si on Si, and H on Si and CNHCH3. • Theoretical treatments of tip reactions show that carbon dimers1 can be transferred to diamond surfaces with high fidelity. • A study on tip design showed that many variations on a design turn out to be suitable for accurate carbon dimer placement. Therefore, efforts can be focused on the variations of tooltips of many kinds that are easier to synthesize.
  • Sketches: Outline with References by Charles Wells Addendum 15 September 2009

    Sketches: Outline with References by Charles Wells Addendum 15 September 2009

    This package is licensed under a Creative Commons Attribution-ShareAlike 2.5 License. Sketches: Outline with References by Charles Wells Addendum 15 September 2009 This package contains the original article, written in December, 1993, and this addendum, which lists a few references to papers and books that have been written since 1993. Additional and Updated References Atish Bagchi and Charles Wells, Graph Based Logic and Sketches. May be downloaded from http://arxiv.org/PS cache/arxiv/pdf/0809/0809.3023v1.pdf Michael Barr and Charles Wells, Toposes, Triples and Theories. Revised and corrected edition now available online at http://www.case.edu/artsci/math/wells/pub/pdf/ttt.pdf Michael Barr and Charles Wells, Category Theory for Computing Science, third edi- tion (1999). Les Publications CRM, Montreal. Zinovy Diskin and Uwe Wolter, A diagrammatic logic for object-oriented visual model- ing. Electronic Notes in Theoretical Computer Science (2006). May be downloaded from http://www.cs.toronto.edu/ zdiskin/Pubs/ACCAT-07.pdf Ren´eGuitart, The theory of sketches. Journ´eesFaiscaux et Logique (1981). Online at http://pagesperso-orange.fr/rene.guitart/textespublications/guitart81theosketches.pdf Peter Johnstone, Sketches of an Elephant, Vol. 2, Chapter D2. Oxford University Press (2003). Yoshiki Kinoshita, John Power, and Makoto Takeyama. Sketches. In Mathematical Foun- dations of Programming Semantics, Thirteenth Annual Conference, Stephen Brookes and Michael W. Mislove, editors. Elsevier (1997). Michael Makkai, Generalized sketches as a framework for completeness theorems. Journal of Pure and Applied Algebra 115 (1997): 49-79, 179-212, 214-274. 1 Sketches: Outline with References∗ Charles Wells 8 December 1993 1 Introduction 1.1 Purpose directory math/wells.
  • Axiomatizing Category Theory in Free Logic

    Axiomatizing Category Theory in Free Logic

    Axiomatizing Category Theory in Free Logic Christoph Benzm¨uller1 and Dana S. Scott2 1University of Luxemburg, Luxemburg & Freie Universit¨at Berlin, Germany 2Visiting Scholar at University of Califormia, Berkeley, USA October 15, 2018 Abstract Starting from a generalization of the standard axioms for a monoid we present a step- wise development of various, mutually equivalent foundational axiom systems for category theory. Our axiom sets have been formalized in the Isabelle/HOL interactive proof as- sistant, and this formalization utilizes a semantically correct embedding of free logic in classical higher-order logic. The modeling and formal analysis of our axiom sets has been significantly supported by series of experiments with automated reasoning tools integrated with Isabelle/HOL. We also address the relation of our axiom systems to alternative pro- posals from the literature, including an axiom set proposed by Freyd and Scedrov for which we reveal a technical issue (when encoded in free logic): either all operations, e.g. morphism composition, are total or their axiom system is inconsistent. The repair for this problem is quite straightforward, however. 1 Introduction We present a stepwise development of axiom systems for category theory by generalizing the standard axioms for a monoid to a partial composition operation. Our purpose is not to make or claim any contribution to category theory but rather to show how formalizations involving the kind of logic required (free logic) can be validated within modern proof assistants. A total of eight different axiom systems is studied. The systems I-VI are shown to be equiva- lent. The axiom system VII slightly modifies axiom system VI to obtain (modulo notational arXiv:1609.01493v5 [cs.LO] 12 Oct 2018 transformation) the set of axioms as proposed by Freyd and Scedrov in their textbook “Cat- egories, Allegories” [10], published in 1990; see also Subsection 9.2 where we present their original system.
  • Contemporary Mathematics 358

    Contemporary Mathematics 358

    ! CONTEMPORARY MATHEMATICS 358 Stark/ s Conjectures: Recent Work and New Directions An International Conference on Stark's Conjectures and Related Topics August 5-9, 2002 Johns Hopkins University David Burns Cristian Popescu Jonathan Sands David Solomon Editors http://dx.doi.org/10.1090/conm/358 CoNTEMPORARY MATHEMATICS 358 Stark's Conjectures: Recent Work and New Directions An International Conference on Stark's Conjectures and Related Topics August 5-9, 2002 Johns Hopkins University David Burns Cristian Popescu Jonathan Sands David Solomon Editors American Mathematical Society Providence, Rhode Island Editorial Board Dennis DeTurck, managing editor Andreas Blass Andy R. Magid Michael Vogelius This volume contains articles based on talks given at the International Conference on Stark's Conjectures and Related Topics, held August 5-9, 2002, at Johns Hopkins University, Baltimore, Maryland. 2000 Mathematics Subject Classification. Primary 11G40, 11R23, 11R27, 11R29, 11R33, 11R42, 11840, 11 Y 40. Library of Congress Cataloging-in-Publication Data International Conference on Stark's Conjectures and Related Topics (2002 : Johns Hopkins Uni- versity) Stark's conjectures : recent work and new directions : an international conference on Stark's conjectures and related topics, August 5-9, 2002, Johns Hopkins University / David Burns ... [et a!.], editors. p. em. -(Contemporary mathematics, ISSN 0271-4132; 358) Includes bibliographical references. ISBN 0-8218-3480-0 (soft : acid-free paper) 1. Stark's conjectures-Congresses. I. Burns, David, 1963- II. Title. III. Contemporary mathematics (American Mathematical Society) ; v. 358. QA246 .!58 2002 512.7'4-dc22 2004049692 Copying and reprinting. Material in this book may be reproduced by any means for edu- cational and scientific purposes without fee or permission with the exception of reproduction by services that collect fees for delivery of documents and provided that the customary acknowledg- ment of the source is given.
  • Nanorobot Construction Crews

    Nanorobot Construction Crews

    Nanorobot Construction Crews Jaeseung Jeong, Ph.D Department of Bio and Brain engineering, KAIST Nanorobotics • Nanorobotics is the technology of creating machines or robots atltthit or close to the microscopi c scal lfe of a nanomet res (10-9 metres). More specifically, nanorobotics refers to the still largely ‘hypothetical’ nanotechnology engineering discipline of designing and building nanorobots. • Nanorobots ((,,nanobots, nanoids, nanites or nanonites ) would be typically devices ranging in size from 0.1-10 micrometers and constructed of nanoscale or molecular components. As no artificial non-biological nanorobots have yet been created, they remain a ‘hypothetical’ concept. • Another definition sometimes used is a robot which allows precision interactions with nanoscale objects , or can manipulate with nanoscale resolution. • Followingggpp this definition even a large apparatus such as an atomic force microscope can be considered a nanorobotic instrument when configured to perform nanomanipulation. • Also, macroscalble robots or mi crorob ots which can move wi th nanoscale precision can also be considered nanorobots. The T-1000 in Terminator 2: Judggyment Day • Since nanorobots would be microscopic in size , it would probably be necessary for very large numbers of them to work together to perform microscopic and macroscopic tasks. • These nanorobot swarms are fdifound in many sci ence fi fitiction stories, such as The T-1000 in Terminator 2: Judgment Day, nanomachine i n Meta l G ear So lid. • The word "nanobot" (also "nanite",,g, "nanogene", or "nanoant") is often used to indicate this fictional context and is a n info rma l o r eve n pejo rat ive term to refer to the engineering concept of nanorobots.
  • The Bulletin of Symbolic Logic the Bulletin of Symbolic Logic

    The Bulletin of Symbolic Logic the Bulletin of Symbolic Logic

    THE BULLETIN OF SYMBOLIC LOGIC THE BULLETIN OF SYMBOLIC LOGIC Edited by Frank Wagner, Managing Editor Vol. 21 Vol. Patricia Blanchette Menachem Kojman Andrea Cantini Leonid Libkin Thierry Coquand André Nies . Number 1 Deirdre Haskell Reviews Editors Ernest Schimmerling, Managing Editor for Reviews . March 2015 March Mark Colyvan Colin McLarty Anuj Dawar Rahim Moosa Michael Fourman Henry Towsner Steffen Lempp Kai Wehmeier . Pages 1-110 Bernard Linsky VOLUME 21 • NUMBER 1 • MARCH 2015 • ISSN 1079-8986 Copyright © 2015 by the Association for Symbolic Logic. All rights reserved. Reproduction by photostat, photo-print, microfi lm, or like process by permission only. Cambridge Journals Online For further information about this journal please go to the journal web site at: journals.cambridge.org/bsl PUBLISHED BY CAMBRIDGE UNIVERSITY PRESS FOR AND ON BEHALF OF THE ASSOCIATION OF SYMBOLIC LOGIC. The BULLETIN, the JOURNAL and the REVIEW OF SYMBOLIC LOGIC are the official organs of the Association for Symbolic Logic, an international organization for furthering research in logic and the exchange of ideas among mathematicians, computer scientists, linguists, and others interested in this fi eld. The BULLETIN encourages submissions of Articles and Communications in all areas of logic, including mathematical or philosophical logic, logic in computer science or linguistics, the history or philosophy of logic, and applications of logic to other fields. The BULLETIN also publishes reviews of publications in logic. Editors THE BULLETIN OF SYMBOLIC LOGIC (ISSN print: 1079–8986, ISSN online: 1943–5894) is pub- Frank Wagner (Managing Editor), Insitut Camille Jordan, UMR 5208, Bâtiment Braconnier, Université lished quarterly, in the months of March, June, September.
  • Diffie and Hellman Receive 2015 Turing Award Rod Searcey/Stanford University

    Diffie and Hellman Receive 2015 Turing Award Rod Searcey/Stanford University

    Diffie and Hellman Receive 2015 Turing Award Rod Searcey/Stanford University. Linda A. Cicero/Stanford News Service. Whitfield Diffie Martin E. Hellman ernment–private sector relations, and attracts billions of Whitfield Diffie, former chief security officer of Sun Mi- dollars in research and development,” said ACM President crosystems, and Martin E. Hellman, professor emeritus Alexander L. Wolf. “In 1976, Diffie and Hellman imagined of electrical engineering at Stanford University, have been a future where people would regularly communicate awarded the 2015 A. M. Turing Award of the Association through electronic networks and be vulnerable to having for Computing Machinery for their critical contributions their communications stolen or altered. Now, after nearly to modern cryptography. forty years, we see that their forecasts were remarkably Citation prescient.” The ability for two parties to use encryption to commu- “Public-key cryptography is fundamental for our indus- nicate privately over an otherwise insecure channel is try,” said Andrei Broder, Google Distinguished Scientist. fundamental for billions of people around the world. On “The ability to protect private data rests on protocols for a daily basis, individuals establish secure online connec- confirming an owner’s identity and for ensuring the integ- tions with banks, e-commerce sites, email servers, and the rity and confidentiality of communications. These widely cloud. Diffie and Hellman’s groundbreaking 1976 paper, used protocols were made possible through the ideas and “New Directions in Cryptography,” introduced the ideas of methods pioneered by Diffie and Hellman.” public-key cryptography and digital signatures, which are Cryptography is a practice that facilitates communi- the foundation for most regularly used security protocols cation between two parties so that the communication on the Internet today.
  • The Legacy of Leonhard Euler: a Tricentennial Tribute (419 Pages)

    The Legacy of Leonhard Euler: a Tricentennial Tribute (419 Pages)

    P698.TP.indd 1 9/8/09 5:23:37 PM This page intentionally left blank Lokenath Debnath The University of Texas-Pan American, USA Imperial College Press ICP P698.TP.indd 2 9/8/09 5:23:39 PM Published by Imperial College Press 57 Shelton Street Covent Garden London WC2H 9HE Distributed by World Scientific Publishing Co. Pte. Ltd. 5 Toh Tuck Link, Singapore 596224 USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601 UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library. THE LEGACY OF LEONHARD EULER A Tricentennial Tribute Copyright © 2010 by Imperial College Press All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system now known or to be invented, without written permission from the Publisher. For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy is not required from the publisher. ISBN-13 978-1-84816-525-0 ISBN-10 1-84816-525-0 Printed in Singapore. LaiFun - The Legacy of Leonhard.pmd 1 9/4/2009, 3:04 PM September 4, 2009 14:33 World Scientific Book - 9in x 6in LegacyLeonhard Leonhard Euler (1707–1783) ii September 4, 2009 14:33 World Scientific Book - 9in x 6in LegacyLeonhard To my wife Sadhana, grandson Kirin,and granddaughter Princess Maya, with love and affection.
  • UNIVERSITY of CALIFORNIA, SAN DIEGO the Brauer-Siegel Theorem for Fields of Bounded Relative Degree a Dissertation Submitted In

    UNIVERSITY of CALIFORNIA, SAN DIEGO the Brauer-Siegel Theorem for Fields of Bounded Relative Degree a Dissertation Submitted In

    UNIVERSITY OF CALIFORNIA, SAN DIEGO The Brauer-Siegel Theorem for Fields of Bounded Relative Degree A dissertation submitted in partial satisfaction of the requirements for the degree Doctor of Philosophy in Mathematics by Aaron Wong Committee in charge: Professor Harold Stark, Chair Professor Charles Elkan Professor Ronald Evans Professor Benjamin Grinstein Professor Audrey Terras 2007 Copyright Aaron Wong, 2007 All rights reserved. The dissertation of Aaron Wong is approved, and it is acceptable in quality and form for publication on microfilm: Chair University of California, San Diego 2007 iii To my family and my friends. He named it Ebenezer, saying, “Thus far has the LORD helped us.” – 1 Samuel 7:12 iv TABLE OF CONTENTS Signature Page . iii Dedication . iv Table of Contents . v List of Figures . vii List of Tables . viii Acknowledgements . ix Abstract of the Dissertation . xi 1 Preliminaries . 1 1.1 Algebraic Theory . 1 1.1.1 An Example . 1 1.1.2 Field Basics . 3 1.1.3 Algebraic Integers and Unique Factorization . 4 1.1.4 Field Invariants . 8 1.1.5 Extensions of Number Fields . 10 1.1.6 CM Fields . 10 1.2 Analytic Theory . 11 1.2.1 The Riemann Zeta Function . 11 1.2.2 Dedekind Zeta Functions . 13 1.2.3 Dirichlet L-Functions . 14 1.2.4 Artin L-Functions . 18 1.3 Brauer’s Theorem . 20 1.4 The Brauer-Siegel Theorem . 21 1.4.1 The Original Theorem . 21 1.4.2 Some Effective Cases of the Theorem . 21 1.4.3 Fields of Bounded Relative Degree .
  • Gender and Literature

    Gender and Literature

    english edition 2 2017 Gender and Literature issue editor ANNA NASIŁOWSKA SŁAWOMIR BURYŁA Manly Fascism AGNIESZKA DAUKSZA KwieKulik as an Unknown: A Neo-Avant-gardist Laboratory of Experience ARÁNZAZU CALDERÓN PUERTA The Theme of Rape in Ida Fink’s Aryan Papers and Tadeusz Słobodzianek’s Our Class KRYSTYNA KŁOSIŃSKA The Secret of the Dulskis’ Establishment WOJCIECH ŚMIEJA A Piece of Fedora Cake: The Male-Centric Imagination of Jerzy Andrzejewski and the Scholarly Reconnaissance MONIKA ŚWIERKOSZ Arachne and Athena: Towards a Different Poetics of Women’s Writing teksty drugie · Institute of Literary Research Polish Academy of Science index 337412 · pl issn 0867-0633 EDITORIAL BOARD Agata Bielik-Robson (uk), Włodzimierz Bolecki, Maria Delaperrière (France), Ewa Domańska, Grzegorz Grochowski, Zdzisław Łapiński, Michał Paweł Markowski (usa), Maciej Maryl, Jakub Momro, Anna Nasiłowska (Deputy Editor-in-Chief), Leonard Neuger (Sweden), Ryszard Nycz (Editor-in-Chief), Bożena Shallcross (usa), Marta Zielińska, Tul’si Bhambry (English Translator and Language Consultant), Justyna Tabaszewska, Marta Bukowiecka (Managing Editor) ADVISORY BOARD Edward Balcerzan, Stanisław Barańczak (usa) , Małgorzata Czermińska, Paweł Dybel, Knut Andreas Grimstad (Norway), Jerzy Jarzębski, Bożena Karwowska (Canada), Krzysztof Kłosiński, Dorota Krawczyńska, Vladimir Krysinski (Canada), Luigi Marinelli (Italy), Arent van Nieukerken (the Netherlands), Ewa Rewers, German Ritz (Switzerland), Henryk Siewierski (Brasil), Janusz Sławiński , Ewa Thompson (usa), Joanna Tokarska-Bakir,
  • Notices of the American Mathematical

    Notices of the American Mathematical

    ISSN 0002-9920 Notices of the American Mathematical Society AMERICAN MATHEMATICAL SOCIETY Graduate Studies in Mathematics Series The volumes in the GSM series are specifically designed as graduate studies texts, but are also suitable for recommended and/or supplemental course reading. With appeal to both students and professors, these texts make ideal independent study resources. The breadth and depth of the series’ coverage make it an ideal acquisition for all academic libraries that of the American Mathematical Society support mathematics programs. al January 2010 Volume 57, Number 1 Training Manual Optimal Control of Partial on Transport Differential Equations and Fluids Theory, Methods and Applications John C. Neu FROM THE GSM SERIES... Fredi Tro˝ltzsch NEW Graduate Studies Graduate Studies in Mathematics in Mathematics Volume 109 Manifolds and Differential Geometry Volume 112 ocietty American Mathematical Society Jeffrey M. Lee, Texas Tech University, Lubbock, American Mathematical Society TX Volume 107; 2009; 671 pages; Hardcover; ISBN: 978-0-8218- 4815-9; List US$89; AMS members US$71; Order code GSM/107 Differential Algebraic Topology From Stratifolds to Exotic Spheres Mapping Degree Theory Matthias Kreck, Hausdorff Research Institute for Enrique Outerelo and Jesús M. Ruiz, Mathematics, Bonn, Germany Universidad Complutense de Madrid, Spain Volume 110; 2010; approximately 215 pages; Hardcover; A co-publication of the AMS and Real Sociedad Matemática ISBN: 978-0-8218-4898-2; List US$55; AMS members US$44; Española (RSME). Order code GSM/110 Volume 108; 2009; 244 pages; Hardcover; ISBN: 978-0-8218- 4915-6; List US$62; AMS members US$50; Ricci Flow and the Sphere Theorem The Art of Order code GSM/108 Simon Brendle, Stanford University, CA Mathematics Volume 111; 2010; 176 pages; Hardcover; ISBN: 978-0-8218- page 8 Training Manual on Transport 4938-5; List US$47; AMS members US$38; and Fluids Order code GSM/111 John C.
  • Contribution of Warsaw Logicians to Computational Logic

    Contribution of Warsaw Logicians to Computational Logic

    axioms Article Contribution of Warsaw Logicians to Computational Logic Damian Niwi ´nski Institute of Informatics, University of Warsaw, 02-097 Warsaw, Poland; [email protected]; Tel.: +48-22-554-4460 Academic Editor: Urszula Wybraniec-Skardowska Received: 22 April 2016; Accepted: 31 May 2016; Published: 3 June 2016 Abstract: The newly emerging branch of research of Computer Science received encouragement from the successors of the Warsaw mathematical school: Kuratowski, Mazur, Mostowski, Grzegorczyk, and Rasiowa. Rasiowa realized very early that the spectrum of computer programs should be incorporated into the realm of mathematical logic in order to make a rigorous treatment of program correctness. This gave rise to the concept of algorithmic logic developed since the 1970s by Rasiowa, Salwicki, Mirkowska, and their followers. Together with Pratt’s dynamic logic, algorithmic logic evolved into a mainstream branch of research: logic of programs. In the late 1980s, Warsaw logicians Tiuryn and Urzyczyn categorized various logics of programs, depending on the class of programs involved. Quite unexpectedly, they discovered that some persistent open questions about the expressive power of logics are equivalent to famous open problems in complexity theory. This, along with parallel discoveries by Harel, Immerman and Vardi, contributed to the creation of an important area of theoretical computer science: descriptive complexity. By that time, the modal m-calculus was recognized as a sort of a universal logic of programs. The mid 1990s saw a landmark result by Walukiewicz, who showed completeness of a natural axiomatization for the m-calculus proposed by Kozen. The difficult proof of this result, based on automata theory, opened a path to further investigations.