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Journal 2011 2.pdf

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   MATHEMATICS COMPETITIONS JOURNAL   OF   THE    WORLD FEDERATION OF NATIONAL  MATHEMATICS COMPETITIONS   AMT P  UBLISHING  VOLUME  24  NUMBER  2 2011   MATHEMATICS COMPETITIONS  J OURNAL   OF   THE  W ORLD  F  EDERATION   OF  N ATIONAL  M ATHEMATICS  C OMPETITIONS (ISSN 1031 – 7503)  Published biannually by AMT P  UBLISHING  A  USTRALIAN  M ATHEMATICS  T  RUST  U  NIVERSITY   OF  C ANBERRA   L OCKED  B AG  1C ANBERRA  GPO ACT 2601A  USTRALIA  With significant support from the UK Mathematics Trust. Articles (in English) are welcome. Please send articles to:The Editor Mathematics Competitions World Federation of National Mathematics Competitions University of Canberra Locked Bag 1Canberra GPO ACT 2601Australia Fax:+61-2-6201-5052or Dr Jaroslav Švrˇcek Dept. of Algebra and Geometry Faculty of Science Palacký University Tr. 17. Listopadu 12Olomouc772 02Czech Republic Email: svrcek@inf.upol.cz ©2011 AMT Publishing, AMTT Limited ACN 083 950 341   MATHEMATICS COMPETITIONS    VOLUME  24  NUMBER  2 2011 CONTENTS PAGE  WFNMC Committee 1 From the President 4 From the Editor 7The Passing of a Maestro 9 Announcements 11The Italian Team Competition 14 Giuseppe Rosolini (Italy)  The Iberoamerican Mathematics Competition for University Students 23 Maria Losada (Colombia)  A New Theorem on any Right-angled Cevian Triangle 29 G. W. Indika Shameera Amarasinghe (Sri Lanka)  The Problem from a Mathematical Camp 38 Pavel Calábek and Jaroslav Švr  č  ek  The Difficulties in the Search of Solutions of Functional Inequalities 46 Peter Samovol (Israel), Valery Zhuravlev (Russia) and Tal Kagalovsky (Israel)  The 52nd International Mathematical Olympiad, Amsterdam, The Netherlands, 2011 62Tournament of Towns 72 Andy Liu (Canada)   Mathematics Competitions Vol 24 No 2 2011 World Federation of National MathematicsCompetitions Executive President:  Professor Mar´ıa Falk de LosadaUniversidad Antonio NarinoCarrera 55 # 45-45Bogot´aCOLOMBIA Senior Vice President:  Professor Alexander SoiferUniversity of ColoradoCollege of Visual Arts and SciencesP.O. Box 7150 Colorado SpringsCO 80933-7150USA Vice Presidents:  Dr. Robert Geretschl¨agerBRG KeplerKeplerstrasse 18020 GrazAUSTRIAProfessor Ali RejaliIsfahan University of Technology8415683111 IsfahanIRAN Publications Officer:  Dr Jaroslav ˇSvrˇcekDept. of Algebra and GeometryPalack´y University, OlomoucCZECH REPUBLIC 1
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