MATHEMATICAL SCIENCES in RUSSIAN PUBLICATIONS of the RE­ SEARCH INSTITUTE for Imported from the U.S.S.R

Total Page:16

File Type:pdf, Size:1020Kb

MATHEMATICAL SCIENCES in RUSSIAN PUBLICATIONS of the RE­ SEARCH INSTITUTE for Imported from the U.S.S.R OF THE AMERICAN MATHEMATICAL SOCIETY VOLUME 15, NUMBER 6 ISSUE NO. 108 OF THE AMERICAN MATHEMATICAL SOCIETY Edited by Everett Pitcher and Gordon L. Walker CONTENTS MEETINGS Calendar of Meetings ..•..•....•..•....•...........•..•.. 846 Program for the October Meeting in Baltimore, Maryland ..••...•... 847 Abstracts for the Meeting- Pages 903-908 PRELIMINARY ANNOUNCEMENTS OF MEETINGS ••••..••••••.•••••.• 850 ACTIVITIES OF OTHER ASSOCIATIONS ••••••.•.•..••••••••••••••. 854 POLITICAL PRESSURE VS SCIENTIFIC UNITY .•••••..•••••.•••••••. 855 MEMORANDA TO MEMBERS Mathematical Sciences Employment Register ...........•...•.... 857 Retired Mathematicians ..•.•.••.•••••........•.•..•.•.... 857 Summer Employment Opportunities •••••••••••••••.....•.••••. 858 Periodicals Published by the London Mathematical Society ...•....... 858 DEFENSE RESEARCH: QUESTIONS FOR VIETNAM DISSENTERS •••••.•••• 859 LETTERS TO THE EDITOR •••••••••••••.•••••••••••••..•••••• 861 NEW AMS PUBLICATIONS ••••••••••••••••••••••.•••••.••••.•. 863 NEWS ITEMS AND ANNOUNCEMENTS • • • • • • • • • • • • • • 854, 856, 862, 865, 876 ANNUAL SALARY SURVEY ••••••••••••.••••••..•.•••••••••••. 869 PERSONAL ITEMS ••••••••••••••••••••••••.••••••...••••... 872 DOCTORATES CONFERRED IN 1967-1968 ••••••••••..••.•.•••••••• 877 ABSTRACTS OF CONTRIBUTED PAPERS ••••••••••••••••••••••••• 903 ERRATA • • • • • • • • • • • • • • • • • • • • • • • • • • • • • . • • • . • • • • • • . • • • • • • 949 INDEX TO ADVERTISERS • • • • • • • • • • • • • • . • • • • • . ••••••••••••.• 963 RESERVATION FORM .•••••••••••••••••.••••.•••••.•.•••••• 964 MEETINGS Calendar of Meetings NOTE: This Calendar lists all of the meetings which have been approved by the Council up to the date at which this issue of the cA~t~<MJ was sent to press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the American Mathematical Society. The meeting dates which fall rather far in the future are subject to change. This is particularly true of the meetings to which no numbers have yet been assigned. Meet­ Deadline ing Date Place for No. Abstracts* 66() November 8-9, 1968 Clemson, South Carolina Sept, 25, 1968 661 November 16, 1968 Riverside, California Sept. 25, 1968 662 November 29-30, 1968 Evanston, Illinois Sept. 25, 1968 663 January 23-27, 1969 (75th Annual Meeting) New Orleans, Louisiana Nov. 8, 1968 664 April 2-5, 1969 New York, New York Feb. 14, 1969 665 A;>ril 18-19, 1969 Chicago, Illinois Feb. 14, 1969 666 April 26, 1969 Santa Cruz, California Feb. 14, 1969 August 25-29, 1969 (74th Summer Meeting) Eugene, Oregon January 22-26, 1970 (76th Annual Meeting) Miami, Florida August 24-28, 1970 (75th Sum mer Meeting) Laramie, Wyoming January 21-25, 1971 (77th Annual M-eeting) Atlantic City, New Jersey *The abstracts of papers to be presented in person at the meetings must be received in the Head­ quarters Offices of the Society in Providence, Rhode Island, on or before these deadlines. The dead­ lines also apply to news items. The next two deadlines for by-title abstracts will be November I, 1968. ··~~··· The cNotiaiJ of the American Mathematical Society is published by the Society in January, February, April, June, August, Oc~ober, November ~nd December. ~rice per annual volume is $12.00. Price per copy $3.00. Special price for copies sold at reg1stratwn desks of meetmgs of the Soc1ety, $1.00 per copy. Subscriptions, orders for back numbers (back issues of the last two years only are available) and inquiries should be addressed to the American Mathematical Society, P.O. Box 6248, Providence, Rhode Island 02904. Second-class postage paid at Providence, Rhode Island, and additional mailing offices. Authorization is granted under the_ ~uthority of the act of August 24, 1912, as amended by the act of August 4, 1947 (Sec. 34,21, P. L. and R.). Accepted for mallmg at the spec1al rate of Postage provided for in section 34,40, paragraph (d). Copyright©. 1968 by the American Mathematical Society Printed in the United States of America 846 Six Hundred Fifty-Ninth Meeting The Johns Hopkins University Baltimore, Maryland October 26, 1968 The six hundred fifty-ninth meeting buted ten-minute papers at 9:30a.m. and of the American Mathematical Society will at 3:15p.m. be held at The Johns Hopkins University in All sessions and registration will Baltimore, Maryland, on October 26, 1968. take place in Shaffer Hall. By invitation of the Committee to A section of the student cafeteria Select Hour Speakers for Eastern Sectional in Levering Hall serving soups, sand­ Meetings the following two lectures will be wiches, a small selection of salads, and presented: Professor Wilhelm Magnus of beverages will be open and can accommo­ New York University will speak on "Re­ date those attending the meeting. Restau­ sidually finite groups" at 11:00 a.m. Pro­ rants are also con.veniently located off fessor A vron Douglis of the University of campus. Maryland will speak on "The existence of Parking space will be available at weak solutions of first order partial dif­ the locations marked C, D, G, J, K, 4, and 7 ferential equations" at 2:00p.m. on the following map. There will be sessions for contri- 847 PROGRAM OF THE SESSIONS The time limit for each contributed paper is 10 minutes. The contributed papers are scheduled at 15 minute intervals. To maintain this schedule, the time limit will be strictly enforced. SATURDAY, 9:30 A. M. Session on Applied Mathematics and Analysis, Shaffer Hall, Room 1 9:30-9:40 ( 1) Modified Runge-Kutta-Nystrom methods Professor Srisakdi Charmonman* and Mr. D. G. Barry, University of Alberta (659-5) 9:45-9:55 (2) Holor representation of nonsinusoidal quantities Professor Parry Moon, Massachusetts Institute of Technology, and Pro­ fessor D. E. Spencer*, University of Connecticut (659-15) 10:00-10:10 ( 3) Identification and confidence regions Mrs. F. M. Carroll, Raytheon Company, Sudbury, Massachusetts (659-16) 10:15-10:25 (4) A Fubini-,jessen theorem for the generalized Lebesgue-Bochner integral Professor Witold Bogdanowicz, Catholic University of America, and Pro­ fessor Vernon Zander*, West Georgia College (659-13) 10:30-10:40 ( 5) An algebraic characterization of distributions Professor R. A. Struble, North Carolina State University, Raleigh (659-9) SATURDAY, 11:00 A.M. Invited Address, Shaffer Hall, Room 3 Residually finite groups Professor Wilhelm Magnus, New York University SATURDAY, 2:00P.M. Invited Address, Shaffer Hall, Room 3 The existence of weak solutions of first order partial differential equations Professor Avron Douglis, University of Maryland SA TU RDA Y, 3: 15 P. M. Session on Analysis, Shaffer Hall, Room 1 3:15-3:25 ( 6) On a problem of C. Renyi concerning Julia lines Professor K. F. Barth and Professor W. J. Schneider*, Syracuse Univer­ sity (659-17) 3:30-3:40 (7) Analytic continuation of local functional equations. I Mr. Bernard Berlowitz, University of California, Berkeley ( 659 -12) 3:45-3:55 (8) Two renorming constructions related to a question of Anselone Professor Victor Klee, University of Washington (659-14) *For papers with more than one author, an asterisk follows the name of the author who plans to present the paper at the meeting. 848 4:00-4:10 ( 9) Some applications of Hewitt's factorization theorem Professor H. S. Collins and Mr. W. H. Summers*, Louisiana State Uni­ versity (659-1) 4:15-4:25 ( 10) Products of representations of discrete groups Mr. J. C. Bradley, Westinghouse Electric Corporation, Baltimore, Maryland (659-4) 4:30-4:40 ( 11) On semi-invariant measure on a locally compact semigroup Professor S. G. Bourne, University of California, Berkeley ( 659-11) SATURDAY, 3:15 P.M. Session on Topology, Algebra and Logic, Shaffer Hall, Room 2 3:15-3:25 (12) Products of ideals. Preliminary report Professor C. E. Aull, Virginia Polytechnic Institute (659-3) 3:30-3:40 (13) !-regular semigroups. I Professor R. J. Warne, West Virginia University (659-8) 3:45-3:55 (14) A configuration related to symmetric block designs. Preliminary report Professor A. T. Butson, University of Miami (659-10) 4:00-4:10 (15) On permanents of v-k- X configurations Mr. R. B. Levow, University of Pennsylvania (659-2) (Introduced by Professor H. S. Wilf) 4:15-4:25 (16) On the richness of subtheories of ZF + GCH Professor J. H. Harris, Stevens Institute of Technology (659-7) Herbert Federer Providence, Rhode Island Associate Secretary 849 PRELIMINARY ANNOUNCEMENTS OF MEETINGS Six Hundred Sixtieth Meeting Clemson University Clemson, South Carolina November 8-9,1968 The six hundred sixtieth meeting new University Dining Hall, both on camp­ of the American Mathematical Society us. Coffee and doughnuts will be served will be held at the Clemson University, each morning in the lounge of the Mathe­ Clemson, South Carolina, November 8-9, matics Building. An informal social is 1968. planned for Friday evening in lieu of a By invitation of the Committee to banquet. Select Hour Speakers, there will be three The Clemson House is a completely invited addresses. Professor C. H. Ed­ modern, university owned, hotel located wards, Jr. of the University of Georgia on campus within a five minutes' walk will present an address entitled "Piece­ from the Mathematics Building. The hotel wise linear embedding and unknotting will honor all requests for accommodations problems"; Professor Malcolm Robert­ up to 300. Rates are as follows: son of the University of Delaware will Single $1 address the meeting, the title of his talk o.oo 14.00 will be "Quasi-subordination and coeffi­ Double cient conjectures";
Recommended publications
  • Hasenjaeger's Electromechanical Small Universal Turing Machine Is
    Hasenjaeger's electromechanical small universal Turing machine is time efficient Rainer Glaschick1, Turlough Neary2, Damien Woods3, Niall Murphy4 1Paderborn, Germany 2 Institute for Neuroinformatics, University of Z¨urichand ETH Z¨urich,Switzerland 3 California Institute of Technology, USA c a m p u s 4 MONCLOA Universidad Polit´ecnicade Madrid, CEI Campus Moncloa, UCM-UPM, Madrid, Spain Turing in Context II, October 11, 2012 Glaschick, Neary, Woods, Murphy Hasenjaeger's universal Turing machine is time efficient Summary Hasenjaeger, a (near) contemporary of Turing's Built electromechanical universal Turing machine that was remarkably small Simulated Wang's B-machine (non-erasing machine) We prove that Wang B-machines are a time efficient model of computation (an exponential improvement) As an immediate corollary we find that Hasenjaeger's small machine is efficiently universal Glaschick, Neary, Woods, Murphy Hasenjaeger's universal Turing machine is time efficient Some context 1936 \On Computable Numbers, with an Application to the Entscheidungs problem" Scholz in M¨unsterand Braithwaite in Cambridge requested preprints Scholz was founding a mathematical logic group in M¨unster Undergraduate Hasenjaeger Copyright MFO/CC BY-SA 2.0 Glaschick, Neary, Woods, Murphy Hasenjaeger's universal Turing machine is time efficient Gisbert Hasenjaeger Scholz got him a place in the High Command cryptography group 1942 Hasenjaeger looked for weaknesses in the Enigma machine After the war Hasenjaeger became Scholz's PhD student Became professor of Mathematical logic
    [Show full text]
  • Chronik Des Akademischen Jahres 2005/2006
    CHRONIK DES AKADEMISCHEN JAHRES 2005/2006 Chronik des Akademischen Jahres 2005/2006 herausgegeben vom Rektor der Rheinischen Friedrich-Wilhelms- Universität Bonn, Prof. Dr. Matthias Winiger, Bonn 2006. Redaktion: Jens Müller, Archiv der Universität Bonn Herstellung: Druckerei der Universität Bonn MATTHIAS WINIGER RHEINISCHE FRIEDRICH-WILHELMS-UNIVERSITÄT BONN Chronik des Akademischen Jahres 2005/06 Bonn 2006 Jahrgang 121 Neue Folge Jahrgang 110 INHALTSVERZEICHNIS Rede des Rektors zur Eröffnung des Akademischen Jahres Rückblick auf das Akademische Jahr 2005/06 .....S. 9 Preisverleihungen und Ehrungen Preisverleihungen und Ehrungen im Akademischen Jahr 2005/06 ...........................S. 23 Akademischer Festvortrag Wilhelm Barthlott, Biodiversität als Herausforderung und Chance.................................S. 25 Chronik des Akademischen Jahres Das Akademische Jahr 2005/06 in Pressemeldungen..............................................S. 40 Nachrufe ......................................................................S. 54 Berichte aus den Fakultäten Evangelisch-Theologische Fakultät ....................S. 67 Katholisch-Theologische Fakultät ......................S. 74 Rechts- und Staatswissenschaftliche Fakultät S. 83 Medizinische Fakultät ............................................S. 103 Philosophische Fakultät .........................................S. 134 Mathematisch-Naturwissenschaftliche Fakultät.......S. 170 Landwirtschaftliche Fakultät ..................................S. 206 Beitrag zur Universitätsgeschichte Thomas Becker,
    [Show full text]
  • The Generalized Recurrent Set, Explosions and Lyapunov Functions
    The generalized recurrent set, explosions and Lyapunov functions OLGA BERNARDI 1 ANNA FLORIO 2 JIM WISEMAN 3 1 Dipartimento di Matematica “Tullio Levi-Civita”, Università di Padova, Italy 2 Laboratoire de Mathématiques d’Avignon, Avignon Université, France 3 Department of Mathematics, Agnes Scott College, Decatur, Georgia, USA Abstract We consider explosions in the generalized recurrent set for homeomorphisms on a compact metric space. We provide multiple examples to show that such explosions can occur, in contrast to the case for the chain recurrent set. We give sufficient conditions to avoid explosions and discuss their necessity. Moreover, we explain the relations between explosions and cycles for the generalized re- current set. In particular, for a compact topological manifold with dimension greater or equal 2, we characterize explosion phenomena in terms of existence of cycles. We apply our results to give sufficient conditions for stability, under C 0 perturbations, of the property of admitting a continuous Lyapunov function which is not a first integral. 1 Introduction Generalized recurrence was originally introduced for flows by Auslander in the Sixties [3] by using con- tinuous Lyapunov functions. Auslander defined the generalized recurrent set to be the union of those orbits along which all continuous Lyapunov functions are constant. In the same paper, he gave a char- acterization of this set in terms of the theory of prolongations. The generalized recurrent set was later extended to maps by Akin and Auslander (see [1] and [2]). More recently Fathi and Pageault [7] proved that, for a homeomorphism, the generalized recurrent set can be equivalently defined by using Easton’s strong chain recurrence [6].
    [Show full text]
  • Arxiv:1803.01386V4 [Math.HO] 25 Jun 2021
    2009 SEKI http://wirth.bplaced.net/seki.html ISSN 1860-5931 arXiv:1803.01386v4 [math.HO] 25 Jun 2021 A Most Interesting Draft for Hilbert and Bernays’ “Grundlagen der Mathematik” that never found its way into any publi- Working-Paper cation, and 2 CVof Gisbert Hasenjaeger Claus-Peter Wirth Dept. of Computer Sci., Saarland Univ., 66123 Saarbrücken, Germany [email protected] SEKI Working-Paper SWP–2017–01 SEKI SEKI is published by the following institutions: German Research Center for Artificial Intelligence (DFKI GmbH), Germany • Robert Hooke Str.5, D–28359 Bremen • Trippstadter Str. 122, D–67663 Kaiserslautern • Campus D 3 2, D–66123 Saarbrücken Jacobs University Bremen, School of Engineering & Science, Campus Ring 1, D–28759 Bremen, Germany Universität des Saarlandes, FR 6.2 Informatik, Campus, D–66123 Saarbrücken, Germany SEKI Editor: Claus-Peter Wirth E-mail: [email protected] WWW: http://wirth.bplaced.net Please send surface mail exclusively to: DFKI Bremen GmbH Safe and Secure Cognitive Systems Cartesium Enrique Schmidt Str. 5 D–28359 Bremen Germany This SEKI Working-Paper was internally reviewed by: Wilfried Sieg, Carnegie Mellon Univ., Dept. of Philosophy Baker Hall 161, 5000 Forbes Avenue Pittsburgh, PA 15213 E-mail: [email protected] WWW: https://www.cmu.edu/dietrich/philosophy/people/faculty/sieg.html A Most Interesting Draft for Hilbert and Bernays’ “Grundlagen der Mathematik” that never found its way into any publication, and two CV of Gisbert Hasenjaeger Claus-Peter Wirth Dept. of Computer Sci., Saarland Univ., 66123 Saarbrücken, Germany [email protected] First Published: March 4, 2018 Thoroughly rev. & largely extd. (title, §§ 2, 3, and 4, CV, Bibliography, &c.): Jan.
    [Show full text]
  • Hopf Decomposition and Horospheric Limit Sets
    The Erwin Schr¨odinger International Boltzmanngasse 9 ESI Institute for Mathematical Physics A-1090 Wien, Austria Hopf Decomposition and Horospheric Limit Sets Vadim A. Kaimanovich Vienna, Preprint ESI 2017 (2008) March 31, 2008 Supported by the Austrian Federal Ministry of Education, Science and Culture Available via http://www.esi.ac.at HOPF DECOMPOSITION AND HOROSPHERIC LIMIT SETS VADIM A. KAIMANOVICH Abstract. By looking at the relationship between the recurrence properties of a count- able group action with a quasi-invariant measure and the structure of its ergodic compo- nents we establish a simple general description of the Hopf decomposition of the action into the conservative and the dissipative parts in terms of the Radon–Nikodym deriva- tives of the action. As an application we prove that the conservative part of the boundary action of a discrete group of isometries of a Gromov hyperbolic space with respect to any invariant quasi-conformal stream coincides (mod 0) with the big horospheric limit set of the group. Conservativity and dissipativity are, alongside with ergodicity, the most basic notions of the ergodic theory and go back to its mechanical and thermodynamical origins. The famous Poincar´erecurrence theorem states that any invertible transformation T preserv- ing a probability measure m on a state space X is conservative in the sense that any positive measure subset A ⊂ X is recurrent, i.e., for a.e. starting point x ∈ A the trajec- tory {T nx} eventually returns to A. These definitions obviously extend to an arbitrary measure class preserving action G (X,m) of a general countable group G on a prob- ability space (X,m).
    [Show full text]
  • ABSTRACT the Specification Property and Chaos In
    ABSTRACT The Specification Property and Chaos in Multidimensional Shift Spaces and General Compact Metric Spaces Reeve Hunter, Ph.D. Advisor: Brian E. Raines, D.Phil. Rufus Bowen introduced the specification property for maps on a compact met- ric space. In this dissertation, we consider some implications of the specification d property for Zd-actions on subshifts of ΣZ as well as on a general compact metric space. In particular, we show that if σ : X X is a continuous Zd-action with ! d a weak form of the specification property on a d-dimensional subshift of ΣZ , then σ exhibits both !-chaos, introduced by Li, and uniform distributional chaos, intro- duced by Schweizer and Smítal. The !-chaos result is further generalized for some broader, directional notions of limit sets and general compact metric spaces with uniform expansion at a fixed point. The Specification Property and Chaos in Multidimensional Shift Spaces and General Compact Metric Spaces by Reeve Hunter, B.A. A Dissertation Approved by the Department of Mathematics Lance L. Littlejohn, Ph.D., Chairperson Submitted to the Graduate Faculty of Baylor University in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy Approved by the Dissertation Committee Brian E. Raines, D.Phil., Chairperson Nathan Alleman, Ph.D. Will Brian, D.Phil. Markus Hunziker, Ph.D. David Ryden, Ph.D. Accepted by the Graduate School August 2016 J. Larry Lyon, Ph.D., Dean Page bearing signatures is kept on file in the Graduate School. Copyright c 2016 by Reeve Hunter All rights reserved TABLE OF CONTENTS LIST OF FIGURES vi ACKNOWLEDGMENTS vii DEDICATION viii 1 Introduction 1 2 Preliminaries 4 2.1 Dynamical Systems .
    [Show full text]
  • Dimensions for Recurrence Times : Topological and Dynamical Properties
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS Volume 5, Number 4, October 1998 pp. 783{798 DIMENSIONS FOR RECURRENCE TIMES : TOPOLOGICAL AND DYNAMICAL PROPERTIES. VINCENT PENNE¶, BENO^IT SAUSSOL, SANDRO VAIENTI Centre de Physique Th¶eorique, CNRS Luminy, Case 907, F-13288 Marseille - Cedex 9, FRANCE, and PhyMat - D¶epartement de math¶ematique, Universit¶ede Toulon et du Var, 83957 La Garde, FRANCE. Abstract. In this paper we give new properties of the dimension introduced by Afraimovich to characterize Poincar¶erecurrence and which we proposed to call Afraimovich-Pesin's (AP's) dimension. We will show in particular that AP's dimension is a topological invariant and that it often coincides with the asymptotic distribution of periodic points : deviations from this behavior could suggest that the AP's dimension is sensitive to some \non-typical" points. Introduction. The Carath¶eodory construction (see [15] for a complete presenta- tion and historical accounts), has revealed to be a powerful unifying approach for the understanding of thermodynamical formalism and fractal properties of dynam- ically de¯ned sets. A new application of this method has recently been proposed by Afraimovich [1] to characterize Poincar¶erecurrence : it basically consists in the construction of an Hausdor®-like outer measure (with the related transition point, or dimension), but with a few important di®erences. The classical Hausdor® mea- sure (see for instance [8]) is constructed by covering a given set A with arbitrary subsets and by taking the diameter of these subsets at a power ® to build up the Carath¶eodory sum. In Afraimovich's setting, the diameter is replaced with a de- creasing function (gauge function) of the smallest ¯rst return time of the points of each set of the covering into the set itself.
    [Show full text]
  • Chapter 4 Global Behavior: Simple Examples
    Chapter 4 Global Behavior: simple examples Different local behaviors have been analyzed in the previous chapter. Unfortunately, such analysis is insufficient if one wants to understand the global behavior of a Dynamical System. To make precise what we mean by global behavior we need some definitions. Definition 4.0.2 Given a Dynamical System (X; φt), t 2 N or R+, a −1 set A ⊂ X is called invariant if, for all t, ; 6= φt (A) ⊂ A. Essentially, the global understanding of a system entails a detailed knowledge of its invariant set and of the dynamics in a neighborhood of such sets. This is in general very hard to achieve, essentially the rest of this book devoted to the study of some special cases. Remark 4.0.3 We start with some simple considerations in the case of continuous Dynamical Systems (this is part of a general theory called Topological Dynamical Systems1) and then we will address more subtle phenomena that depend on the smoothness of the systems. 4.1 Long time behavior and invariant sets First of all let us note that if we are interested in the long time behavior of a system and we look at it locally (i.e. in the neighborhood of a point) then three cases are possible: either the motion leaves the neighborhood 1 Recall that a Topological Dynamical Systems is a couple (X; φt) where X is a topological space and φt is a continuous action of R (or R+; N; Z) on X. 71 72 CHAPTER 4. GLOBAL BEHAVIOR: SIMPLE EXAMPLES and never returns, or leaves the neighborhood but eventually it comes back or never leaves.
    [Show full text]
  • Unser Die Welt – Trotz Alledem 169
    Wilhelm฀K.฀Essler Unser฀die฀Welt Wilhelm฀K.฀Essler Unser฀die฀Welt Sprachphilosophische฀Grundlegungen฀ der฀Erkenntnistheorie Ausgewählte฀Artikel Herausgegeben฀von฀Gerhard฀Preyer ©฀2001฀Wilhelm฀K.฀Essler ©฀2001฀Humanities฀Online Frankfurt฀am฀Main,฀Germany http://www.humanities-online.de Dieses฀Werk฀steht฀unter฀der฀Creative฀Commons฀Lizenz฀ Namensnennung-NichtKommerziell-KeineBearbeitung฀2.0฀Deutschland. http://creativecommons.org/licenses/by-nc-nd/2.0/de/deed.de This฀work฀is฀licensed฀under฀a฀Creative฀Commons฀Attribution- NonCommercial-NoDerivs฀2.0฀Germany฀License. http://creativecommons.org/licenses/by-nc-nd/2.0/de/deed.en ISBN฀978-3-934157-06-4 INHALTSVERZEICHNIS 5 INHALTSVERZEICHNIS Einleitung:ZurStrukturvonErfahrung 7 Fundamentalsofa Semi-Kantian MétaphysicsofKnowledge 21 Kantnowadays................................ 21 Kantianpointsofview. 21 Onempiricalconcepts. 22 Relativizing Kant’s distinctions . .. 23 Levelsofapriority .............................. 24 Kant’smainquestion. 25 JustifyingbeyondKant. 26 Transcendentalbasesforostensions . 27 Fromtranscendentalto objective knowledge . .. 28 Kant und kein Ende 31 Erkenntnisphilosophie und Erkenntnispsychologie . ...... 31 Eine kantische Wissenschaftsphilosophie der Gegenwart . ....... 32 Von der Wissenschaftsphilosophie zur Erkenntnisphilosophie ...... 36 DerInhaltdesUniversums . 37 DieFormdesUniversums. 41 DasWahrnehmenvonObjektenimRaum . 44 DasWahrnehmenvonObjekteninderZeit . 50 Waskönnenwirwissen?. 52 Tarski on Language and Truth 57 Was ist Wahrheit? 73 Am Anfang war die Tat 81 Gorgias
    [Show full text]
  • Distinguishability Notion Based on Wootters Statistical Distance: Application to Discrete Maps
    Distinguishability notion based on Wootters statistical distance: application to discrete maps Ignacio S. Gomez,1, ∗ M. Portesi,1, y and P. W. Lamberti2, z 1IFLP, UNLP, CONICET, Facultad de Ciencias Exactas, Calle 115 y 49, 1900 La Plata, Argentina 2Facultad de Matem´atica, Astronom´ıa y F´ısica (FaMAF), Universidad Nacional de C´ordoba, Avenida Medina Allende S/N, Ciudad Universitatia, X5000HUA, C´ordoba, Argentina (Dated: August 10, 2018) We study the distinguishability notion given by Wootters for states represented by probability density functions. This presents the particularity that it can also be used for defining a distance in chaotic unidimensional maps. Based on that definition, we provide a metric d for an arbitrary discrete map. Moreover, from d we associate a metric space to each invariant density of a given map, which results to be the set of all distinguished points when the number of iterations of the map tends to infinity. Also, we give a characterization of the wandering set of a map in terms of the metric d which allows to identify the dissipative regions in the phase space. We illustrate the results in the case of the logistic and the circle maps numerically and theoretically, and we obtain d and the wandering set for some characteristic values of their parameters. PACS numbers: 05.45.Ac, 02.50.Cw, 0.250.-r, 05.90.+m Keywords: discrete maps { invariant density { metric erarchy [11], with quantum extensions [12{16] that allow space { wandering set to characterize aspects of quantum chaos [17]. The rele- vance of discrete maps lies in the fact that they serve as simple but useful models in biology, physics, economics, I.
    [Show full text]
  • Notices of the American Mathematical Society
    OF THE AMERICAN MATHEMATICAL SOCIETY VOLUME 16, NUMBER 3 ISSUE NO. 113 APRIL, 1969 OF THE AMERICAN MATHEMATICAL SOCIETY Edited by Everett Pitcher and Gordon L. Walker CONTENTS MEETINGS Calendar of Meetings ..................................... 454 Program for the April Meeting in New York ..................... 455 Abstracts for the Meeting - Pages 500-531 Program for the April Meeting in Cincinnati, Ohio ................. 466 Abstracts for the Meeting -Pages 532-550 Program for the April Meeting in Santa Cruz . ......... 4 73 Abstracts for the Meeting- Pages 551-559 PRELIMINARY ANNOUNCEMENT OF MEETING ....................•.. 477 NATIONAL REGISTER REPORT .............. .. 478 SPECIAL REPORT ON THE BUSINESS MEETING AT THE ANNUAL MEETING IN NEW ORLEANS ............•................... 480 INTERNATIONAL CONGRESS OF MATHEMATICIANS ................... 482 LETTERS TO THE EDITOR ..................................... 483 APRIL MEETING IN THE WEST: Some Reactions of the Membership to the Change in Location ....................................... 485 PERSONAL ITEMS ........................................... 488 MEMORANDA TO MEMBERS Memoirs ............................................. 489 Seminar of Mathematical Problems in the Geographical Sciences ....... 489 ACTIVITIES OF OTHER ASSOCIATIONS . 490 SUMMER INSTITUTES AND GRADUATE COURSES ..................... 491 NEWS ITEMS AND ANNOUNCEMENTS ..... 496 ABSTRACTS OF CONTRIBUTED PAPERS .................•... 472, 481, 500 ERRATA . • . 589 INDEX TO ADVERTISERS . 608 MEETINGS Calendar of Meetings NOn:: This Calendar lists all of the meetings which have been approved by the Council up to the date at which this issue of the c;Noticei) was sent to press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the American Mathematical Society. The meeting dates which fall rather far in the future are subject to change. This is particularly true of the meetings to which no numbers have yet been assigned.
    [Show full text]
  • A Complete Bibliography of Publications in Cryptologia
    A Complete Bibliography of Publications in Cryptologia Nelson H. F. Beebe University of Utah Department of Mathematics, 110 LCB 155 S 1400 E RM 233 Salt Lake City, UT 84112-0090 USA Tel: +1 801 581 5254 FAX: +1 801 581 4148 E-mail: [email protected], [email protected], [email protected] (Internet) WWW URL: http://www.math.utah.edu/~beebe/ 04 September 2021 Version 3.64 Title word cross-reference 10016-8810 [?, ?]. 1221 [?]. 125 [?]. 15.00/$23.60.0 [?]. 15th [?, ?]. 16th [?]. 17-18 [?]. 18 [?]. 180-4 [?]. 1812 [?]. 18th (t; m)[?]. (t; n)[?, ?]. $10.00 [?]. $12.00 [?, ?, ?, ?, ?]. 18th-Century [?]. 1930s [?]. [?]. 128 [?]. $139.99 [?]. $15.00 [?]. $16.95 1939 [?]. 1940 [?, ?]. 1940s [?]. 1941 [?]. [?]. $16.96 [?]. $18.95 [?]. $24.00 [?]. 1942 [?]. 1943 [?]. 1945 [?, ?, ?, ?, ?]. $24.00/$34 [?]. $24.95 [?, ?]. $26.95 [?]. 1946 [?, ?]. 1950s [?]. 1970s [?]. 1980s [?]. $29.95 [?]. $30.95 [?]. $39 [?]. $43.39 [?]. 1989 [?]. 19th [?, ?]. $45.00 [?]. $5.95 [?]. $54.00 [?]. $54.95 [?]. $54.99 [?]. $6.50 [?]. $6.95 [?]. $69.00 2 [?, ?]. 200/220 [?]. 2000 [?]. 2004 [?, ?]. [?]. $69.95 [?]. $75.00 [?]. $89.95 [?]. th 2008 [?]. 2009 [?]. 2011 [?]. 2013 [?, ?]. [?]. A [?]. A3 [?, ?]. χ [?]. H [?]. k [?, ?]. M 2014 [?]. 2017 [?]. 2019 [?]. 20755-6886 [?, ?]. M 3 [?]. n [?, ?, ?]. [?]. 209 [?, ?, ?, ?, ?, ?]. 20th [?]. 21 [?]. 22 [?]. 220 [?]. 24-Hour [?, ?, ?]. 25 [?, ?]. -Bit [?]. -out-of- [?, ?]. -tests [?]. 25.00/$39.30 [?]. 25.00/839.30 [?]. 25A1 [?]. 25B [?]. 26 [?, ?]. 28147 [?]. 28147-89 000 [?]. 01Q [?, ?]. [?]. 285 [?]. 294 [?]. 2in [?, ?]. 2nd [?, ?, ?, ?]. 1 [?, ?, ?, ?]. 1-4398-1763-4 [?]. 1/2in [?, ?]. 10 [?]. 100 [?]. 10011-4211 [?]. 3 [?, ?, ?, ?]. 3/4in [?, ?]. 30 [?]. 310 1 2 [?, ?, ?, ?, ?, ?, ?]. 312 [?]. 325 [?]. 3336 [?, ?, ?, ?, ?, ?]. affine [?]. [?]. 35 [?]. 36 [?]. 3rd [?]. Afluisterstation [?, ?]. After [?]. Aftermath [?]. Again [?, ?]. Against 4 [?]. 40 [?]. 44 [?]. 45 [?]. 45th [?]. 47 [?]. [?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?]. Age 4in [?, ?]. [?, ?]. Agencies [?]. Agency [?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?].
    [Show full text]