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         Renyi Alfred:     more books (16)
  1. Probability Theory by Alfred Renyi, 2007-05-11
  2. Foundations of Probability (Dover Books on Mathematics) by Alfred Renyi, 2007-12-17
  3. Foundations of Probabilty by Alfred Rényi, 1970
  4. Floer Homology, Gauge Theory, and Low Dimensional Topology: Proceedings of the Clay Mathematics Institute 2004 Summer School, Alfred Renyi Institute of Mathematics, Budapest, Hungary, June 5-26, 2004 (Clay Mathematics Proceedings, Vol. 5)
  5. Dialogues on mathematics by Alfred Renyi, 1967
  6. Letters on Probability by Alfred Renyi, 1972-09
  7. A Diary on Information Theory (Wiley Series in Probability and Statistics) by Alfred Renyi, 1987-08
  8. Foundations of Probability (Holden-Day Series in Probability & Statistics) by Alfred Renyi, 1970
  9. Dialoge Uber Mathematik (Science & Civilization Series : No 22) by Alfred Renyi, 1980-01
  10. Dialogues on Mathematics by Alfred Renyi,
  11. Selected papers of Alfred Renyi by Alfred Renyi, 1976
  12. Naplo az informacioelmeletrol (Hungarian Edition) by Alfred Renyi, 1976
  13. Foundations of Probability. by Alfr-Ed R-Enyi, 1970-06
  14. Tagebuch Ueber Die Informationstheorie by Alfred Renyi, 1983-02

41. Liste Alphabétique Des Mathématiciens
Translate this page 1476). Reichenbach (Hans), Allemand (1891-1953). renyi (alfred),Hongrois (1921-1970). Résal (Henri), Français (1828-1896). Rheticus
http://www.cegep-st-laurent.qc.ca/depar/maths/noms.htm
Abel (Niels Henrik) Agnesi (Maria Guetana) Italienne (1718-1799) Alembert (Jean Le Rond d') Alexander (James Waddell) Alexandroff (Pavel Sergeevich) Russe (1896-1982) Apian (Peter Benneuwitz, dit) Allemand (1495-1552) Apollonios de Perga Grec(v.~262-v.~180) Appel (Paul) Grec (~287-~212) Aristote Grec (~384-~322) Arzela (Cesare) Italien (1847-1912) Ascoli (Guilio) Italien (1843-1896) Babbage (Charles) Anglais (1792-1871) Banach (Stefan) Polonais (1892-1945) Argand (Jean Robert) Suisse (1768-1822) Barrow (Isaac) Anglais (1630-1677) Bayes (Thomas) Anglais (1702-1761) Bellavitis (Giusto) Italien (1803-1880) Beltrami (Eugenio) Italien (1835-1900) Bernays (Paul) Suisse (1888-1977) Bernoulli (Daniel) Suisse (1700-1782) Bernoulli (Jacques) Suisse (1654-1705) Bernoulli (Jean) Suisse (1667-1748) Allemand (1878-1956) Bernstein (Sergei Natanovich) Russe (1880-1968) Bertrand (Josepn) Bessel (Friedrich) Allemand (1784-1846) Birkoff (George David) Bliss (Gilbert Ames) Bochner (Salomon) Allemand (1899-1982) Bolyai (Janos) Hongrois (1802-1860) Bolzano (Bernhard) Bombelli (Raffaele) Italien (1522-1572) Bonnet (Ossian) Boole (George) Anglais (1815-1864) Bourbaki (Nicolas) Braikenridge (William) Anglais (v.1700-1762)

42. Center For Constructive Approximation
Institution alfred renyi Mathematical Institute, Hungarian Academy of Sciences,Hungary. Website http//www.renyi.hu/~kroo/ Email NEV@renyi.hu.
http://www.math.vanderbilt.edu/~cca/visit.htm
Current Visitors
Ursula Molter (Spring 2004) Institution: University of Buenos Aires, Argentina Website: http://mate.dm.uba.ar/~umolter/
http://mate.dm.uba.ar/~umolter/pagina_grupo.html

Vanderbilt Email: molter@math.vanderbilt.edu
Email: umolter@dm.uba.ar Carlos Cabrelli (Spring 2004) Institution: Institution: University of Buenos Aires, Argentina Website: http://mate.dm.uba.ar/~cabrelli/
http://mate.dm.uba.ar/~umolter/pagina_grupo.html

Vanderbilt Email: cabrelli@math.vanderbilt.edu
Email: cabrelli@dm.uba.ar Bernd Mulansky (Spring 2004) Institution: Technical University of Clausthal, Germany Website: http://www.math.tu-clausthal.de/Personen/mulansky.html
Vanderbilt Email: mulansky@math.vanderbilt.edu
Email: bernd.mulansky@math.tu-clausthal.de Andras Kroo (Spring 2004) Institution: Alfred Renyi Mathematical Institute, Hungarian Academy of Sciences, Hungary Website: http://www.renyi.hu/~kroo/
Email: NEV@renyi.hu
Upcoming Visitors
Past Visitors
Allan Pinkus (November/December 2003) Institution: Technion University, Israel Website: http://www.math.technion.ac.il/people/pinkus/

43. Center For Constructive Approximation
the space. February 5, 2004. Andras Kroo, alfred renyi MathematicalInstitute, Hungarian Academy of Sciences. Uniform norm estimation
http://www.math.vanderbilt.edu/~cca/semi.htm
Computational Analysis Seminar
The Computational Analysis Seminar is attended by faculty, students, and visiting researchers working in one or more of the following areas of mathematics: constructive approximation theory, splines, wavelets, signal processing, image compression, shift-invariant spaces, constrained approximation and interpolation, computer-aided geometric design, and a few other related areas. If you need more information and/or want to be included (or excluded) from our mailing list, please email us at cca@math.vanderbilt.edu
Upcoming Seminars
April 7, 2004. 3:10-4 pm, room 1210. Bernd Mulansky Technical Univ. of Clausthal, Germany Delaunay configurations. Delaunay configurations can be used to select collections of knot-sets in the construction of multivariate spline spaces from simplex spline. We consider geometric and combinatorial properties of Delaunay configurations of a finite point set in the plane, including their efficient computation. Decisive is an interpretation of Delaunay configurations in terms of a convex hull.
Past Seminars
March 31, 2004. Johan de Villiers

44. Blaise Pascal
Letters on Probability, by renyi, alfred, translated by Vekerdi, Laszlo.Detroit, Mich. Wayne State University Press, 1972. (These
http://math.berkeley.edu/~robin/Pascal/bibliography.html

Life
Accomplishments Pascal's Theorem Back to the front page
Bibliography
  • A History of Mathematics: An Introduction, second edition, by Katz, Victory. Reading, Mass.: Addison Wesley Educational Publishers, 1998.
  • Letters on Probability, by Renyi, Alfred, translated by Vekerdi, Laszlo. Detroit, Mich.: Wayne State University Press, 1972. (These are some of the letters Pascal wrote to Fermat.)
  • Pascal, by Krailsheimer, Alban. New York, NY: Hill and Wang, 1980.
  • L'oeuvre Scientifique de Pascal, by Costabel et al. Paris: Presses Universitaire de Frace, 1964. (This is where I found the copy of Essai pour les coniques
  • Blaise Pascal: The Genius of his Thought, by Hazelton, Roger. Philadelphia, Penn.: Westminster Press, 1974.
  • An Introduction to Projective Geometry, by O'Hara and Ward. London, UK: Oxford University Press, 1937.
  • Pascal, the Man and his two Loves, by Cole, John. New York, NY: New York University Press, 1995.
  • Dictionary or Scientific Biography.
  • Pascal's Mystic Hexagram: Its History and Graphical Representation, a thesis, by Linton, Anne and Linton, Elizabeth. Philadelphia, Penn.: University of Pennsylvania, 1927.
  • Blaise Pascal, by Davidson, Hugh. Boston, Mass.: Trayne Publishers, 1983.
  • 45. Estadístics I Matemàtics
    Kurt Gödel (1906 1978) - Matemàtic. alfred renyi (1921 - 1976) - Matemàtici estadístic. Thales de mileto (640 - 560 AC). alfred renyi (1921 - 1976). TOP.
    http://www.edu365.com/aulanet/comsoc/Lab_estadistica/estadistics.htm
    Altres laboratoris Glossaris Personatges Notícies de casos ... Models de simulació
    Matemàtics i estadístics Els següents matemàtics i estadístics apareixen a un o varis àmbits del batxillerat: matemàtiques, estadística, física, electrònica, electrotècnia, mecànica i tecnologia. Químics i biòlegs, físics i científics relacionats amb la tecnologia apareixen en llistes a part. Malgrat tot, cal considerar que, sobre tot antigament, la majoria de personatges tenien activitats pluridisciplinars i es fa difícil de classificar-los. Hem optat per fer-ho segons els temes en que apareixen als llibres de text. Thales de mileto (640 - 560 A.C) - Matemàtic
    Pitàgores (570 - 480 A.C) - Matemàtic

    Arquímides (287 - 212 A.C) - Matemàtic

    Franciscus Vieta (1540 -1603) - Matemàtic
    ... [TOP]

    46. Textbooks
    Each chapter includes different mathematical activities. renyi, alfred,Dialogues on Mathematics, San Francisco Holden Day, 1967.
    http://www.dean.usma.edu/math/people/rickey/hm/mini/books.html
    Textbooks
    The following are some possible textbooks for a history of mathematics course which is not intended as a survey course. This list is necessarily incomplete, for a great variety of courses are conceivable. This list will be augmented with book reviews when time permits. It will also be updated from time to time. Ascher, Marcia, Ethnomathematics: A Multicultural View of Mathematical Ideas, Belmont, CA: Brooks-Cole, 1991. Reviewed by Judith V. Grabiner, American Mathematical Monthly, 100 (1993), 304-308. Bell, Eric Temple, 1883-1960. Men of mathematics. New York, Simon and Schuster [1937] xvii, 590 p., l . diagrs. Berggren, J. L. Episodes in the mathematics of medieval Islam. New York : Springer-Verlag, c1986. xiv, 197 p. : ill. ; 24 cm. Bunt, Lucas N. H. (Lucas Nicolaas Hendrik), Phillip S. Jones, and Jack D. Bedient. The historical roots of elementary mathematics. Englewood Cliffs, N.J. : Prentice-Hall, c1976. xii, 299 p. : ill. ; 24 cm. Cooney, Miriam P., Celebrating Women in Mathematics and Science, NCTM, 1996.

    47. Library Catalog
    Stochasticity and partial order doubly Info. renyi, alfred Auth.. Wahrscheinlichkeitsrechnung mit einem Info. Journal Mathematische Monographien.
    http://reload.rz-berlin.mpg.de/bib/welcome.mpl?R=9jVfpHl&A=&mode=new

    48. LookSmart - Directory - Number Theory Research Groups
    Directory Listings About. alfred renyi Number Theory Research Group alfred renyiInstitute of Mathematics in Hungary, Budapest presents its research staff and
    http://search.looksmart.com/p/browse/us1/us317914/us328800/us1164188/us10036237/
    @import url(/css/us/style.css); @import url(/css/us/searchResult1.css); Home
    IN the directory this category
    YOU ARE HERE Home Sciences Mathematics Number Theory
    Number Theory Research Groups - Find seminars, research activities, and faculty information for number theory research groups worldwide.
    Directory Listings About
  • Alfred Renyi - Number Theory Research Group
    Alfred Renyi Institute of Mathematics in Hungary, Budapest presents its research staff and posts details on its seminars, conferences, PhD programs, and services.
    Algorithmic and Probabilistic Number Theory

    Department of Mathematics at the Technical University of Graz in Austria lists its research activities researcher's homepages.
    Arizona State University - Number Theory

    States its prerequisites for students beginning graduate work in the field of number theory and posts course work, examinations, and faculty information.
    Ben Gurion University of the Negev - Department of Mathematics

    Connect to members of the Number Theory and Algebraic Geometry Research Group in Be'er-Sheva, Israel. With info on its Galois theory and algebraic geometry research.
    Boston University - Algebra and Number Theory Group
    Learn about its faculty and graduate students, graduate program, and algebra seminars for the current school semester.
  • 49. Angewandte, Numerische Mathematik
    Translate this page Darst. x. Ann 41, renyi, alfred, Wahrscheinlichkeitsrechnung Mit einem Anhang ueberInformationstheorie, EST Valszinuesegszamitas (dt.), Berlin Dt.Verl.d.Wiss.
    http://www.sternwarte.uni-erlangen.de/~ailib/buch/ann.html
    Angewandte, numerische Mathematik
    Standort:
    II/D-1
    Ann 1 Jordan, Wilhelm Handbuch der Vermessungskunde
    Spaeter u.d.T.: Handbuch der Vermessungskunde, Baende 1-2 Stuttgart Metzler, 2., umgearb. u. verm. Aufl. d. "Taschenbuchs der Praktischen Geometrie"
    x
    Ann 2 Bruns, Heinrich Wahrscheinlichkeitsrechnung
    Vorlesung, Hs. Leipzig 1883,
    220 S. x
    Ann 3 Gauss, Carl F. Abhandlungen zur Methode der kleinsten Quadrate
    Aus d. Lat. uebers. Berlin Stankiewitsch 1887,
    V, 208 S. x Ann 4 Elderton, William P. Frequency curves and correlation Frequency-curves and correlation London Layton [ca.] 1906, XIII, 172 S. x Ann 5 Buchholz, Hugo Angewandte Mathematik das mechanische Potential und seine Anwendung zur Bestimmung der Figur der Erde ; hoehere Geodaesie Leipzig Barth 1916, 2., verb. u. verm. Aufl. XXXVIII, 820 S. x Ann 6 Schreiber, Paul [1917 ca.], 22 S. : graph. Darst. x Ann 7 Schreiber, Paul Die Anwendung der Logarithmen-Papiere bei der barometrisch. Hoehenmessung sowie bei meteorologischen und aerologischen Arbeiten 19 S.

    50. Rewriting The Textbooks
    Lewis Carroll (1895), alfred renyi (1967) and Douglas R Hofstadter have allwritten breathtaking dialogues about mathematics. renyi, alfred. 1967.
    http://members.tripod.com/mumnet/thoughts/thought002.htm
    var cm_role = "live" var cm_host = "tripod.lycos.com" var cm_taxid = "/memberembedded"
    Mum
    Mathematical Ulterior Motives - the mother of all ulterior sites - thoughts
    'Textbooks have to be rewritten.' ... the book has become the major enemy of the Socratic method. It need not be like this! Someone ought to write a book in the same way he teaches a course.
    Freudenthal, 1973, 108 Some ... say that the introduction of heuristic style would require the rewriting of textbooks, and would make them so long that one could never read them to the end ... The answer to this pedestrian argument is: let us try.
    Lakatos 1976, 144 One day I would like to construct a set of plausible dialogues that some students (15-17 years old) might use instead or in addition to the traditional textbook. Some of the characteristics of "the traditional textbook" are expressed in this review of the most used Norwegian textbook for this age level: The presentation of a new topic seldom takes its starting point in practical problems, and little is done to explain what it all is good for. There are few applications and for several of the topics there are none ... Very little has been done to train the students to "mathematise" a problem in the society or in life ... The mathematics that is presented in the book is not developed in special historic situations ... The mathematics is presented as formal, timeless, and ahistoric ... We tend to believe that the work has little to offer those students that will not do more courses in mathematics.

    51. Com2MaC Conference
    Plenary speakers (will be added). Gyula Katona, alfred renyi Instituteof Mathematics Hungarian Academy of Sciences, ohkatona@renyi.hu.
    http://com2mac.postech.ac.kr/conference/cgc2002/
    Com MaC Conference
    on
    Graphs and Combinatorics
    July 8-10(Mon-Wed), 2002
    POSTECH, Pohang, Korea Purpose The conference is aimed at bringing together researchers on all aspects of graphs including algebraic, combinatorial, probabilistic and topological approach to graph theory and their applications. It is intended to cover recent developments in these theories and related areas of mathematics as well as their applications. You may also be interested in participating
    2002 Korea-Hungary joint workshop on Combinatorics

    July 5-7(Thur-Fri), 2002, POSTECH, Pohang, Korea

    organized by Jin Ho Kwak at POSTECH and Sang-Gu Lee at Sungkyunkwan University. The participants can join both confernces. Call for papers The conference will consists of an hour or 45 minutes-long plenary talks, and 25 minutes contributed talks. Abstracts, at most one page and typed in english, related to the topics of the conference are invited by May 31, 2002 (May 31, 2002 is also a Registration Due). The abstract should include: name(s) of author(s), affiliation(s), address of the contact person, phone and fax number, and e-mail address. Authors are kindly requested to submit their abstracts via e-mail in LaTeX (or AMS TeX) to one of the following conference organizer.

    52. Com^2MaC Open School
    173, 1996. Ervin Gyori (? ? ?) 1997date ?, alfred renyi Institute of Mathematics, ? ? 1977-date
    http://com2mac.postech.ac.kr/OpenSchool01_1.htm
    Com MaC Open School July 2 - July 27, 2001
    • Graph Theory and Its Applications[3ÇÐÁ¡]
    • Graph Theory, by R. Diestel, Springer, Graduate Texts 173, 1996

    • Ervin Gyori (Çë°¡¸® Çмú¿ø ºÎ¼ÒÀå)
      1997-date ºÎ¼ÒÀå, Alfred Renyi Institute of Mathematics, Çë°¡¸® Çмú¿ø
      1977-date ¿¬±¸¿ø, Alfred Renyi Institute of Mathematics, Çë°¡¸® Çмú¿ø
      1998 ¹æ¹®±³¼ö, University of Memphis, ¹Ì±¹
      1986-1987 ¹æ¹®±³¼ö, Vanderbilt University, ¹Ì±¹
      1985-1986 ¹æ¹®±³¼ö, UCLA, ¹Ì±¹
      1994 Ph.D, Hungarian Academy of Sciences, Çë°¡¸®
    On-line µî·Ï[¸¶°¨] com2mac@postech.ac.kr
  • 2. °­ÀÇÁÖÁ¦ (Syllabus)
  • 53. Citations The Evolution Of Random Graphs - Os, Renyi
    contains additional citation context not shown here P.Erdos and A.renyi, \On the paper6 by Paul Erd os and his longtime colleague and friend alfred R enyi
    http://citeseer.ist.psu.edu/context/243883/0

    54. Alfred Hero: Recent Presentations And Seminars
    1999; Estimation of renyi information divergence via pruned minimal spanning trees , AO Hero and O. Michel IEEE alfred O. Hero III Systems Division Dept.
    http://www.eecs.umich.edu/~hero/presentations.html
    Recent Presentations and Seminars of Hero's Research Group
    This page contains some recent seminar and end-of-year-review presentations (in postcript unless otherwise noted).
  • "Multiple criteria differential expression analysis for microarray data," (.pdf) , A. O. Hero Bioinformatics Program Seminar , University of Michigan, Dec 2003.
  • "Entropy, Spanner Graphs, and Pattern Matching" (.pdf) , A. O. Hero Plenary talk given at the 2003 Workshop on Energy Minimization Methods in Computer Vision and Pattern Recognition (EMM CVPR), , Lisbon Portugal, July 2003.
  • "Entropic graphs," (.pdf) , A. O. Hero Lecture at IEEE SP Society Boston Chapter , April 2003.
  • "Space-time-Coding for Wireless Communications," (.pdf) , A. O. Hero, Lecture given in Dept of ECE, Colorado State University, , Feb. 2003.
  • "Genomic Data Mining," (.pdf) , A. O. Hero, ISTeC Lecture given at Colorado State University, , Feb. 2003.
  • "A spectral method for 3D shape reconstruction and denoising," (.pdf) , J. Li and A. O. Hero MIA Symposium , Paris, Sept. 2002.
  • "Image resolution-variance tradeoffs using the uniform Cramer-Rao bound,"
  • 55. EECS CSPL SEMINAR SERIES WINTER TERM 1999
    alfred O. Hero, III. In particular, we consider estimation of pth order renyi entropyof a distribution function P based on a random sample from the mixture
    http://www.eecs.umich.edu/systems/heroWin99.html
    EECS CSPL SEMINAR SERIES
    WINTER TERM 1999
    Alfred O. Hero, III
    EECS Department
    University of Michigan
    hero@eecs.umich.edu
    Thursday, April 8
    4:30 - 5:30 PM
    Room 1001 EECS
    Entropy estimation and clustering via pruned minimal spanning trees
    Abstract-
    The MST entropy statistic for multidimensional data samples is naturally translation, scale and rotation invariant and can also be used for clustering and pattern recognition tasks. This invariance property is important for applications where patterns or process trajectories of interest may be articulated at arbitrary orientations and spatial positions, e.g. as occurs in automated pattern matching, word spotting, radar target detection, and industrial inspection. This work is being applied in the context of several applications including: estimation of phase space complexity for detection of chaotic phase transitions of turbulent flow fields, multi-modality image registration using mutual information matching criteria, and robust feature classification in ATR.
    To link to Prof. Hero's Home Page just

    56. Mathematicians During The Third Reich And World War II
    renyi, alfred In 1944 he was forced to a Fascist Labour Camp but somehow managedto escape. He obtained false papers and hid for six months avoiding capture.
    http://wwwzenger.informatik.tu-muenchen.de/~huckle/mathwar.html
    Mathematicians during the Third Reich and World War II
    Prof. Thomas Huckle
    huckle@in.tum.de
    Last modified: March/12/2004
    Died
    Imprisoned

    Hidden

    Emigration
    ...
    General Information

    Died:
    Berwald, Ludwig:
    Dismissed 1939 in Prague; Deportation by Gestapo to Lodz where he died in April 1942.
    Blumenthal, Otto:
    [SCHAPPACHER, SIEGMUND,PINL]
    dismissed 1939 from Aachen and - for a short while - kept in "protective custody". Editor of 'Mathematische Annalen' until 1938. In 1939 he went to Holland. When the Netherlands had fallen, he refused the help of Dutch friends and was deported to Theresienstadt where he died 1944. Cavailles, Jean: [MENZLER-TROTT] Member of the resistance. Killed by the Gestapo 1944. See also Dickstein, Samuel: Died in the Nazi bombing of Warsaw in 1939. Epstein, Paul: [SIEGMUND, PINL] Frankfurt 1919 until 1935, suicide after summon from Gestapo August 1939. Froehlich, Walter: In 1939 dismissed in Prague, 1941 deported to Lodz and died there 1942. Hartogs, Fritz

    57. Search Results For Alfred Adler - Encyclopædia Britannica
    websites. alfred renyi Institute of Mathematics Hungarian Academy ofSciences Overview on this institute at Budapest, Hungary. Provides
    http://www.britannica.com/search?query=alfred adler&ct=igv&fuzzy=N&show=10&start

    58. Re: [HM] "Dialogues On Mathematics" By Laszlo Filep
    zeus.nyf.hu Date Thu, 29 Apr 2004 001434 +0200 Dear Reuben, You can contact thedaughter of alfred renyi whose name is Zsuzsa Rényi and lives in Budapest.
    http://mathforum.org/epigone/historia_matematica/cerlgrongghi/1083190474.40902cc
    Re: [HM] "Dialogues on Mathematics" by Laszlo Filep
    reply to this message
    post a message on a new topic

    Back to messages on this topic
    Back to Historia-Matematica Discussion Group
    Subject: Re: [HM] "Dialogues on Mathematics" Author: filepl@zeus.nyf.hu Date: The Math Forum

    59. Www.math-inst.hu Www.smithinst.ac.uk Im.bas-net.by Alfred Renyi
    www.mathinst.hu www.smithinst.ac.uk im.bas-net.by alfred renyi Institute ofMathematics www.math-inst.hu 1. ? alfred renyi Institute of
    http://knot.kaist.ac.kr/~jcbout/docs/¿¬±¸¼Ò ¼Ò°³.txt
    www.math-inst.hu www.smithinst.ac.uk im.bas-net.by Alfred Renyi Institute of Mathematics www.math-inst.hu 1. ¿¬±¸¼Ò ¼Ò°³ Alfred Renyi Institute of Mathematics(ARIM)´Â 1949³â Çë°¡¸® °úÇпø¿¡ ÀÇÇØ ¼³¸³µÇ¾ú´Ù. Ê´ë ¿¬±¸¼ÒÀåÀº Alfred Renyi ¹Ú»ç¿´À¸¸ç 1970³â ±×°¡ »ç¸ÁÇϱ⠱îÁö ¿ªÀÓÇÏ¿´´Ù. °è¼ÓÇؼ­ Laszlo Fejes Toth (1970-1982), Andras Hajnal (1982-1992), Domokos Szasz (1993-1995) ±×¸®°í Gyula O. H. Katona (1996- ) µîÀÇ ±³¼öµéÀÌ ¿¬±¸¼ÒÀåÀ» ¿ªÀÓÇÏ¿´´Ù. ¾à 70¿©¸íÀÇ ¿¬±¸¿øµéÀÌ ±Ù¹«ÇÏ°í ÀÖÁö¸¸ ´ë·« 20-30ÀÇ ¿¬±¸¿øµéÀº ´ °øµ¿¿¬±¸¸¦ À§ÇØ ÇØ¿ÜÀÇ ¿¬±¸±â°üÀ̳ª ´ëÇеé·Î ¹æ¹®±³¼ö ¶Ç´Â Ê»¿¬±¸À©À¸·Î ±Ù¹«ÇÏ°í ÀÖ´Ù. ´ÙÀ½ÀÇ ¿¬±¸¿øµéÀº ¿¬¼ö¼ÒÀÇ ¿¬±¸¿øµé Áß ¶Ù¾î³­ ¿ª·®Àº °¡Áø »ç¶÷µé·Î¼­ Çë¶ó¸® °úÇпø¿¡ ÀÇÇØ ¼±¹ßµÇ¾ú´Ù. A. Csaszar (À§»ó¼öÇÐ ¹× ½ÇÇؼ®ÇÐ), I. Csiszar (Á¤º¸ÀÌ·Ð), L. Fejes Toth (ÀÌ»ê ±âÇÏÇÐ), A. Hajnal (ÀÌ»ê¼öÇÐ, ÁýÇÕ·Ð ¹× À§»ó¼öÇÐ), G. O. H. Katona (ÀÌ»ê¼öÇÐ), I. Ruzsa (Á¤¼ö·Ð), M. Simonovits (ÀÌ»ê¼öÇÐ), V.T. Sos (ÀÌ»ê¼öÇÐ ¹× Á¤¼ö·Ð), D. Szasz (µ¿¿ªÇаè¿Í Åë°è¹°¸®ÇÐ), E. Szemeredi (ÀÌ»ê¼öÇÐ ¹× ÀÌ·Ð ÄÄÇ»ÅÍ °úÇÐ), G. Tusnady(È®·ü·Ð). ARIMÀÇ ¿¬±¸¿øµéÀº ´ÙÀ½°ú °°Àº ¿¬±¸ÁÖÁ¦µéÀ» ´Ù·ç°í ÀÖ´Ù : ´ë¼öÇÐ, ´ë¼ö±âÇÏÇÐ, ´ë¼öÀû ³í¸® ¹× ÄÔÇ»ÅÍ °úÇÐ, ±Ù»çÀÌ·Ð, ¹ÌºÐ¹æÁ¤½Ä, ÀÌ»ê¼öÇÐ, ÇÔ¼öÇؼ®ÇÐ, ±âÇÏÇÐ, Á¤º¸ÀÌ·Ð, ¼ö¸®Åë°èÇÐ, Á¤¼ö·Ð, È®·ü·Ð, ÁýÇÕ·Ð, Åë°è¹°¸®ÇÐ, À§»ó¼öÇÐ. ¿¬±¸¼ÒÀÇ ¿¬±¸°á°úÀÇ ÁúÀº ARIMÀÇ ¿¬±¸¿øµéÀÌ ±¹Á¦ ÇмúÁö¿¡ ¿¬±¸°á°ú¸¦ âÆÇÇÏ´Â °ÍÀ» »ìÆ캸º¸¸é Àß ¾Ë ¼ö ÀÖ´Ù. ƯÈ÷, ¿¬±¸¿øµéÀº Á¸½º º¼·ªÀÌ ¼öÇÐȸ(Janos Bolyai Mathematical Society)ÀÇ ÇÐȸ¸¦ ÁÖ°üÇϴµ¥ Áß¿äÇÑ ¿ªÇÒÀ» ÇÏ°í ÀÖÀ¸¸ç ÀÌ ÇÐȸÀÇ ÇÁ·Î½µùÀº ±¹Á¦ ¼öÇа迡 Àß ¾Ë·ÁÁ® ÀÖ´Ù. 2001³â ÀÌÈÄ ¿¬±¸¿øÀº À¯·´¿¬ÇÕÀÇ ¿ì¼ö¿¬±¸¼¾ÅÍ(Centre of Excellence)·Î ¼±Á¤µÇ¾ú´Ù. ¿¬±¸È°µ¿ ÀÌ¿Ü¿¡ ¿¬±¸¿øµéÀº ´Ù¾çÇÑ ¼öÁØÀÇ Çкλý°ú ´ëÇпø»ýÀÇ ¼öÇб³¿íÀ» Áö¿øÇÏ´Â Àǹ«¸¦ ¼öÇàÇÏ°í ÀÖ´Ù. ¿¬±¸¿øµéÀº À§¿¡¼­ ¿­°ÅÇÑ ¼öÇко߿¡¼­ ´ëÇпø ¹× ¹Ú»çÈÄ °úÁ¤ÀÇ ±³À°À» Çë°Å¸® ³»ÀÇ ¿©·¯ ´ëÇÐÀ» ÅëÇØ ¼öÇàÇÏ°í ÀÖÀ¸¸ç ¹Ú»ç°úÁ¤ ÇлýÀ» ±³À°Çϱ⵵ ÇÑ´Ù. 2001-2002³âµµ¿¡´Â Cental European University°ú »õ·Ó°Ô ¹Ú»ç°úÁ¤ ÇÁ·Î±×·¥À» ¼³Ä¡ ¿î¿µÇÏ¿´´Ù. ARIMÀº Çë°Å¸®ÀÇ ¹Ú»çÈÄ ¿¬±¸¿ø ¶Ç´Â ¼±ÀÓ ¿¬±¸¿ø±ÞÀÇ ¹æ¹®¿¬±¸¸¦ ȯ¿µÇϸç ÇØ¿ÜÀÇ ¿¬±¸¿øµéÀÇ ¹æ¹® ¿ª½ ȯ¿µÇÏ°í ÀÖ´Ù. 2. ¿¬±¸±×·ì ARIMÀÇ ¿¬±¸¿øµéÀº ¾Æ·¡ÀÇ 9°³ÀÇ ¿¬±¸ºÐ°ú¿¡ °¢°¢ ¼Ò¼ÓµÇ¾î ÀÖ°í ÀÌÁß ¸î¸îÀÇ ¿¬±¸¿øµéÀº ¿ÜºÎ ¿¬±¸¿øµé°ú ÇÔ²² ¼Ò±Ô¸ðÀÇ ¿¬±¸±×·ìÀ» Á¶Á÷ÇÏ°í ÀÖ´Ù. ¿¬±¸ºÐ°ú ´ë¼öÇÐ ´ë¼öÀû ³í¸®ÇÐ Çؼ®ÇÐ Á¶ÇÕ·Ð ¹× ÀÌ»ê¼öÇÐ º¼·Ï(convex)±âÇÏÇÐ ¹× °è»ê±âÇÏÇÐ Á¤º¸ÀÌ·Ð Á¤¼ö·Ð È®·ü·Ð ¹× Åë°èÇÐ ÁýÇÕ·ÐÀû À§»ó¼öÇÐ¹× ÀϹÝÀ§»ó¼öÇÐ ¿¬±¸±×·ì ´ë¼öÀû ±âÇÏÇÐ ¾ÏÈ£·Ð µ¥ÀÌŸº£À̽º, µ¥ÀÌŸ¸¶ÀÌ´× ¼öÇÐÀû ¸é¿ªÇÐ °íµî¼öÇÐ 3. ¿¬±¸¼ÒÀÇ ¼¼¹Ì³ª ¹× ÇÐȸ¾È³» http://www.renyi.hu/conferences.html (Áö³­ÇÐȸ)http://www.renyi.hu/old-conferences.html 4. µµ¼­°ü ÀçÁ¤ÀûÀÎ ¾î·Á¿ò¿¡µµ ºÒ±¸ÇÏ°í ARIMÀÇ µµ¼­°üÀº Çë°¡¸® ¼öÇеµ¼­°üÁß °¡Àå ±Ô¸ð°¡ Å«µ¥ ¾à 4¸¸ ¿©±ÇÀÇ ´ÜÇົ°ú 2¸¸ 5µ±ÇÀÇ ÇмúÁö, ±×¸®°í 400¿©±Ç ÀÌ»óÀÇ Á¤±â±¸µ¶ ÇмúÁö¸¦ º¸À¯ÇÏ°í ÀÖ´Ù. ´ÙÀ½Àº ARIMÀÇ µµ¼­°üÀ» Áö¿øÇÏ´Â Áß¿äÇÑ ½ºÆù¼­µéÀÌ´Ù. OTKA (ºÎŸÆ佺ƮBudapest), Trinity College (¿µ±¹ ÄÉÀӺ긮ÁöCambridge, England) A.C.M. (´º¿åNew York) S.I.A.M. (Çʶóµ¨ÇǾÆPhiladelphia) Soros Foundation (´º¿åNew York). The Smith Institute for Industrial Mathematics and System Engineering http://www.smithinst.ac.uk/ 1. ¿¬±¸¼Ò ¼Ò°³ The Smith Institute for Industrial Mathematics and System Engineering (SI) Àº Æä·¯µ¥ÀÌ(Faraday) Çù·Â±â°ü(http://www.faradaypartnerships.org.uk/)À¸·Î¼­ ¼öÇаú ÄÄÇ»¼­ °è»êÀÇ ¿¬±¸¸¦ ´ã´çÇÏ¸ç ¿µ±¹ÀÇ »ê¾÷°è¿Í ÇÐȸ¸¦ ¿¬°áÇØÁÖ´Â ÁßÀç±â°üÀ¸·Î¼­ÀÇ ¼±µµÀû ¿ªÇÒÀ» ¼öÇàÇÏ°í ÀÖ´Ù. Áö½ÄÁÖµµÇü °æÁ¦¼Á¦¿¡¼­ÀÇ ¼öÇаú ÄÄÇ»ÅÍ´Â »õ·Î¿î »ç¾÷ÀÇ ¢â°ú ¼öÀ×¼ºÀÇ Áõ´ë¸¦ À§ÇÑ »ê¾÷Àü·«ÀÇ ¼³°è¿¡ À§Çؼ­ ÇʼöÀûÀÎ °ÍÀÌ´Ù. ¶ÇÇÑ Ö·´Ü °úÇÐÀû Áö½ÄÀÇ ÀÀ¿ëÀº »ç¾÷ÀÇ ¿µ¿ªÀû È®´ë¸¦ ³Ñ¾î È¿°úÀûÀÎ ºñ¿ëÀ» °¡Áö´Â ¼Ö·ù¼ÇÀÇ °³¹ß°ú ÀÌÇظ¦ Á¦°øÇÏ¸ç °³¼±µÈ »ý»ê¼º°ú »õ·Î¿î »óÇ°, ±×¸®°í Á» ´õ ³ôÀº ½ÀåÀÌÀ±À» À¯µµÇÑ´Ù. ¸¹Àº ȸ»çµé°ú ´Ù¾çÇÑ ±Ô¸ðÀÇ ±â°üµéÀº ¼öÇаú °è»ê°úÇÐÀÇ ±âÊÀû °øµ¿¿¬±¸¸¦ ËÁøÇϱâ À§ÇØ ÇÔ²² ÀÏÇÏ°í ÀÖ´Ù. ¿¬±¸¼ÒÀÇ °¡Àå Å« ºÎ°¡Àû °¡Ä¡´Â °úÇÐÀû ¾ÆÀ̵ð¾î¸¦ Áß¿äÇÑ »ê¾÷Àû ¹®Á¦¿¡ ÀÀ¿ëÇÏ°í À̸¦ À§ÇØ ¿µ±¹ °¢ ´ëÇÐÀÇ ¶Ù¾î³­ ¼öÇаú¿Í ÄÄÇ»ÅÍÇаúµéÀÇ È°µ¿À» ¿¬°áÇÏ´Â À¯ÀÏÇÑ Åë·Î¿ªÈ°À» ¼öÇàÇÏ°í ÀÖ´Ù´Â °ÍÀÌ´Ù. SI´Â »ê¾÷°è¸¦ À§ÇÏ¿© ¿¬±¸¼ÒÀÇ À¯´ÉÇÑ ÀÎÀçµéÀ» Áö¿øÇÏ´Â ¼°è¸¦ ¿î¿µÇÏ°í ÀÖÀ¸¸ç À̸¦ ÅëÇØ ÀÎÀû¹× ÁöÀû ±³·ù¸¦ Æ÷ÇÔÇÏ¸ç ¸ðµç Âü°¡ÁöµéÀÇ »óÈ£ ÀÌÀÍÀ» À§ÇÑ Æ÷°ýÀûÀÌ°í ź·ÂÀûÀ̸ç Çõ½ÅÀûÀÌ°í ³ôÀº ¼öÁØÀÇ Çù·ÂÀ» ¼öÇàÇϸç À¯ÁöÇØ ³ª°¡°í ÀÖ´Ù. SI´Â ´ëÇÐÀÇ Çаú¿¡ Âü¿©ÇÏ¿© ¿¬±¸ÇÁ·Î±×·¥À» ¼öÇàÇÏ´Â °¡»óÀû ±¸Á¶¸¦ ÅëÇØ ¹ßÀüÇØ¿Ô´Ù. The Smith Institute has evolved a virtual structure, in which its research programmes are carried out in the participating university departments. The Institute provides 'technology translators', who are senior scientists with extensive experience of industrial-academic collaborations, to manage the coupling between academic research and industrial end-users. They are available to guide the exploration of possible research paths, to undertake feasibility or pilot studies, to interpret industrial needs to the academic community and, conversely, to advise on the application of academic research results to industrial operations. The Institute takes the view that the underpinning of industry by the mathematical sciences has greatest value if research results are made freely available as widely as possible. When dealing with issues of IPR, the Smith Institute uses the relevant rules for Government schemes, and more generally facilitates the contractual negotiation between the inventor and the exploiter, while respecting any commercial sensitivities. Recognising that IPR is often a barrier to exploitation, the Smith Institute does not for its part seek to retain any such rights. Æä·¯µ¥ÀÌ On 28 June 2000, the Smith Institute was announced by Lord Sainsbury, Minister for Science and Innovation, as one of four new Faraday Partnerships. The Faraday initiative, funded jointly by DTI and EPSRC, provides ¡Ì2.2M over the next four years for forging new high-quality collaborations, which will lead to significant commercial benefits for the Smith Institute's industrial partners. In making the announcement, Lord Sainsbury said: "This is a vital investment in the future of UK manufacturing and industry. Our firms need to take advantage of our world class science base to remain competitive. Faraday Partnerships play a vital role in helping firms to work with our best researchers and produce innovative new products and processes. They are an important part in ensuring the UK's industrial success." The objective of the Smith Institute Faraday Partnership is to spread the use of mathematics and computer science, and in particular the intellectual discipline of the mathematical way of thinking, more widely in the formulation of industrial strategy and in the planning of industrial products and processes. The long-term benefits include new ways of thinking about industrial problems, which lead both to the invention of new methods of doing business in existing industries and to the creation of completely new industrial activity. The main effect of DTI funding to the Faraday Partnership is to make possible the employment of so-called Technology Translators, who are drawn from a variety of industrial and academic backgrounds. They provide experience in the design and management of collaborative projects and are also available to contribute scientifically in their own areas of technical expertise. The Technology Translators help to identify the most appropriate mechanisms on a case-by-case basis, in order to ensure that industrial and academic participants alike are comfortable with their collaborative arrangements and derive maximum benefit from them. Mechanisms that have successfully been employed so far include industrially sponsored postgraduate dissertations (both MSc and PhD, through EPSRC's CASE scheme), industrially supported postdoctoral research projects, short-term contract work, research scoping exercises and TCS programmes. The EPSRC core grant to the Faraday Partnership allows the establishment of several core research programmes, which are currently being identified through a series of ground-breaking workshops focused on industrial themes. Opportunities that have arisen from workshops in food, weather risk, distributed resource management, inverse problems, guided wave photonics, tissue engineering, and electromagnetic compatibility are currently being pursued. Indeed a number of research proposals have recently been submitted to EPSRC. Other themes of interest include transport, working environments and textiles. ±¸¼º The Smith Institute for Industrial Mathematics and System Engineering represents a new mechanism for forming and managing relationships between industry and academia in applied mathematics and computer science. It is an independent, not-for-profit company limited by guarantee, originally founded in 1993 as a private sector response to the early proposals for Faraday Centres. Up until 1997 the Institute was a part of Smith System Engineering Limited, but in that year the Institute was incorporated under the Companies' Act and was separated entirely from its parent, with which it now has no connection. Before establishment of its Faraday Partnership, the Institute's income came entirely from industrial fees. Because it operated using private finance, its industrial participants were limited mainly to large companies and government organizations. The opportunity offered by the Faraday Partnership scheme allows the Institute to reach a much larger number of industrial companies, to offer a much broader range of services, particularly in education and training, and to shift its centre of gravity towards small and medium-sized companies. Participants There are no membership fees or other entry barriers to participation in Smith Institute activities. The participants in the Institute fulfil three roles. First, industrial participants are members of the end-user communities in the areas chosen for Institute activity. They are involved at all stages, from the formulation of research areas to implementation and exploitation, and their collective interests set the research agenda for the Institute. Secondly, enabling participants provide specific capabilities in technology translation, generally relating to a particular business sector. They are typically intermediate research organizations or Government agencies, which can provide crucial scientific data or expertise, direct links to new industrial participants through their members or clients, and routes for dissemination, exploitation and commercialization. Thirdly, academic participants represent the academic resource available to the Smith Institute. Their commitment comes through providing input to the design and supervision of research programmes and TCS programmes, and providing the academic infrastructure for training programmes. They are sometimes drawn from beyond the boundaries of mathematics and computer science. Staff The participants are coupled into the Institute through the activities of the Institute Director and the Technology Translators. The Institute Director, Dr. Robert Leese, has a full-time appointment and is responsible for day-to-day management. He plans the mix of activities and their funding, oversees the coupling of the Institute with its participants, prepares and monitors the budget, and leads the team of Technology Translators. Dr. Leese is based in Oxford and is supported by an Administrator, Gillian Hoyle, working from the Institute office in Guildford. The Technology Translators are responsible for animating the coupling between the Institute and its participants. Each project is the responsibility of a Technology Translator, who guides the expression of industrial problems in mathematical and computational language, oversees collaboration and interprets the outcome of research in industrial terms. The Technology Translators help steer research so that the results are best placed for implementation and exploitation by industry. They construct funding proposals, facilitate TCS programmes and are available to take on short pieces of focused research for industrial participants. There are currently six Technology Translators: Dr. David Allwright, Dr. Caroline Bird, Dr. Tim Boxer, Mr. Melvin Brown, Dr. Paul Moseley and Dr. Heather Tewkesbury

    60. Renyi's "Socratic Dialogue"
    Translation, presentation and annotation of. alfred Rényi s A SocraticDialogue on Mathematics . by Josep Maria Font (University of Barcelona).
    http://www.mat.ub.es/~font/RenyiPres.html
    Translation, presentation and annotation of
    by Josep Maria Font (University of Barcelona)
    His mathematical interests, ordered as he himself once ranked them, were: probability theory, statistics, information theory, combinatorics, graph theory, number theory, analysis. He developed deep probabilistic methods in number theory, where he proved the so-called Goldbach's quasi-conjecture: every even number is the sum of a prime number and an almost prime number (a number having exactly two prime factors). He also applied probabilistic techniques to quantum mechanicsc, industrial chemistry, biology, traffic regulation and price control. Together with his strong interest in the applications of mathematics, he was also very interested in recreational mathematics, the philosophy of mathematics, old mathematics and elementary school teaching of mathematics. He was a very creative mathematician of a high level and broad interests, he had an inexhaustible organizational energy and a charming personality. His view on the relations between mathematics and its applications originated an important debate in his country during several years, which lead him to write, among other papers, three essays addressed to the general public where he exposed his ideas in the form of a fictitious dialogue, featuring Socrates, Archimedes and Galileo respectively. These three small gems of the mathematical literature were collected in the book "Dialogues on Mathematics" published in Hungarian in 1965 and translated into six languages.

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