DOCSLIB.ORG

Building up a Large Scale of Ontology from Japanese Wikipedia

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
Building up a Large Scale of Ontology from Japanese Wikipedia Building up a Large Scale of Ontology from Japanese Wikipedia Takahira Yamaguchi Keio University, Japan Today’s Talk z Background z Proposed Methods IS‐A Hierarchy, Class – Instance, RDF triple, Property Domains, Synonyms z Application 1 (Knowledge Creation Support) Demo z Application 2 (Human Robot Interaction) Demo z Evaluation (Results, Related Work) z Conclusions and Future Work 2 Background: ODP&T (Ontology Development Process and Tool) Process determine consider enumerate define define define create scope reuse terms classes properties constraints instances (Noy 2003) Tool Ontology Search Ontology Learning Linked Open Data (LOD) (by SWOOGLE, WATSON) from Text, Search Monkey Ontology Matching & Semi‐structured (Enhanced Results) Alignment Resources Wikipedia2 Ontology 3 Proposed Methods Institute Educational Intstitute Univ Japanese Univ Wikipedia Keio Univ Wikipedia Keio Univ foundation Ontology 1858 Institute location foundation Keio Univ Keio University 4 Extracting Is‐a Relationships • String Matching Methods on the category names • Matching Infobox Templates and Categories 5 Wikipedia Category Tree Category A Category B Article a Category D Article b Category C Category E Article c Category F Article d Article e 6 Category Tree Category and Category Tree http://ja.wikipedia.org/wiki/Category:プログラミング言語 Category 「Programming Language」 Mixing is-a, has-a, class-instance, and other relationshipsSub categores in the of Programming category tree Language Extracting is-a relationships from category tree The number of categories: 91,316 http://ja.wikipedia.org/wiki/Wikipedia:カテゴリ7 String Matching Methods on the category names Backward String Matching Super Class Sub Class Motorway Japanese Motorway AirportHigh-speed rail Taiwan High-speedAirport rail Seafood Japanese Seafood SubSum categoryo of Amateur Sumo Is-a 7,971 Is-a relationships JapaneseJunior Airport college Japanese JuniorJapanese college Airport Short film Disney Short film Category Tree Is-a relationship Total: 12,558 Forward Matched String Eliminating Super Class Sub Class Noodle Yakisoba JapaneseBird AthleteDomestic duck Athlete Bird Penguin Musician Sub categoryLyricist of Is-a 4,587 Is-a relationships JapaneseMusician Golfer Composer Golfer Media Music CategoryMedia TreeNewspaper Is-a relationship Author Poetry 8 Matching Infobox Template Name to Category Name 「Instrument」Super Class Template Sub Class Super Class Sub Class Organic compound Software Free Software 「Piano」Article Amine Organic compound Ester Software Image Processing Software Organic compound Carboxylic acid Software Text Editor Organic compound Terpenoid SoftwareInst楽器rument Web Browser Organic compound Organonitrogen compounds Software E-mail Software Organic compound Aromaticity Is-aSoftware Security Software Organic compound Heterocyclic compound Software Word processor Organic compound Amide Keyboard Software CAD Software 鍵盤楽器instrument Organic compound Amino acid instrumentSoftware System Software Organic compound AlkaloidIs-a Software Windows Game Software Organic compound Alcohol Software Application Software Organic compound AldehydeピアノPiano Software TeX Is-a relationships： Categories that the piano article belongs Keyboard instrument | Piano 3,782 9 Extracting Class‐Instance Relationships Title → CClasslass Title Item → Instance List of People from Tokyo People from Tokyo ＝＝Mathmatician Class Instance ＊ Kunihiko Kodaira Keio University People Yukichi Fukuzawa Keio University People Atsushi Seike Item Listing Pages: ＊ Shokichi Iyanaga Keio University People Yuichiro Anzai aboutJapanese #8,300 Tourist attraction Kyoto ＝＝Physicist Class-Instance Japanese Tourist attraction Hiroshima Japanese Tourist attraction Akihabara ＊ Sin‐Itiro Tomonaga Relationships: 421,989 Japanese Tourist attraction Yokohama Nobel laureates Hideki Yukawa Procedure Nobel laureates(1) Scrape lines includingMasatoshi instances’ Koshibastring (2) Eliminate ‘*’ lines which are used in the explanatory text of the list. Nobel laureates(3) Eliminate ‘*’ linesYoichiro which are Nambu linked to other listing pages. (4) Eliminate ‘*’ lines which belong to unconcerned content index like “recital”. (5) Eliminate ‘*’ lines which aren’t correct as instances like “*REDIRECT”. (6) Eliminate ‘*’ lines which are used to describe year like “*19th”. 10 (7) Scrape the string of instance out of each ‘*’ lines by using symbol of link “[[ ]]” to identify it. Extracting RDF Triples Subject Subject Predicate Object Tokyo region Kanto Tokyo area 2,187.65 Tokyo population 12,988,797 Tokyo density 5,940 Tokyo tree Ginkgo tree Tokyo flower Somei‐Yoshino Predicate Object Tokyo bird Black‐headed Gull Tokyo governor Shintaro Ishikawa ・・・・・・・・・・・ 1,485,751 Triples 11 Implementation of Wikipedia Ontology Search Application Institute Is-a Relationships Educational Intstitute ?String Matching Methods Univ ?Matching Templates and Categories Japanese Univ Class-Instance Relationships Wikipedia ?Scraping Listing Pages Keio Univ Keio Univ RDF Triples foundation ?Scraping Infoboxes 1858 Institute Domain of Property Wikipedia location ?Scraping Infoboxes foundation Synonym Ontology Keio Univ ?Extracting Redirect Links Keio University Support ・ Idea generation ・ Analysis Search Results 12 Demo1 WiLD (Wikipedia Linked Data Application) (think about Japanese famous novelist) 1min. Linked Data ・ Book ・ Restaurant 13 13 Demo2 HRI (Human Robot Interaction) (1) Microphone Speaker NAO Sonar Python Programming Inertial sensor 58cm Pressure sensor NAO comes from Aldebaran in France. http://www.aldebaran‐robotics.com/en 14 14 Demo2 HRI (Human Robot Interaction) (2) 1. An user asks Nao the ways for health-care. 2. Using WikipediaJapn ontology, Nao enumerates them. 3. The user selects tai-chi from them. 4. Using Action ontology with Nao, Nao shows the user tai-chi actions that Nao can do. 5. The user selects tai-chi_1 from them. 6. Nao does the action of tai-chi_1. Demo: by Japanese 実行可能動作 1min30sec 健康法 基本動作 複合動作 Tai‐chi 太極拳 太極拳 ウォーキング ピラティス早寝早起き 禁煙 日光浴 移動 回転 姿勢 重心 屈伸 ダンス ラジオ体操 陳式太極拳 楊式太極拳 スイミング 孫式太極拳 ターンゆっくりターン 左足屈伸右足屈伸 ラジオ体操第一ラジオ体操第二 背泳ぎ 前進 後退横歩き 立つ 座る 太ももを 武式太極拳呉式太極拳 バタフライ ヨガ 両手を 前屈 寝転ぶ 伸ばす 自由形 平泳ぎ 歩くゆっくり歩く ゆっくり腰に手を 太極拳1 サイドステップ 前に出す 太極拳2ヨガ 自己紹介スターウォーズ カルマヨーガ ジャパヨーガ サイドステップ当てる右足に 左足に ギャーナヨーガ 後ろ足ゆっくり後ろ足 ダンス ダンス 重心をのせる中心に重心をのせる パクティヨーガ ラージャヨーガ スリラーダンス マントラヨーガ 重心を戻す WikipediaJapn ontology Action ontology 15 Learning Results from Wikipedia Japan (1) Relations # Precision Al IS-A 93,322 76.30% IS-A By string matching 12,558 93.1±1.51% By template matching 3,782 95.6±1.09% By contents headlines 83,288 72.6±2.74% Class - Instance 421,989 97.2±1.02% RDF triple 1,485,751 95.8±1.79% Property Domains 6,485 95.4±1.22% Synonyms 106,671 67.0±2.90% Total 1,834,753 - 16 How is WJO going ? Less upper concepts Some concepts with many sub concepts Some classes with no instances Some classes with popular instances 17 Related Work Property Instance IS‐A Property Class‐ RDF Property domain Instance triple Bizer DBpedia ○○ Suchanek YAGO ○△○ △ Ponzetto － ○ Wikipedia Keio Univ. Japan2 ○○○○○ Ontology DBpedia - A Crystallization Point for the Web of Data Christian Bizer, Jens Lehmann, Georgi Kobilarov, Soren Auer, Christian Becker, Richard Cyganiak Sebastian Hellmann Journal of Web Semantics: Science, Services and Agents on the World Wide Web, Issue 7, Pages 154–165, 2009. http://wiki.dbpedia.org/ YAGO - A Large Ontology from Wikipedia and WordNet Fabian M Suchanek, Gjergi Kasneci, Gerhard Weikum Elsevier Journal of Web Semantics http://www.mpi-inf.mpg.de/yago-naga/yago/ 18 19 Conclusions and Future work Conclusions Wikipedia Japan works for light‐weight (not heavy‐weight) ontology development. Wikipedia Japan Ontology works for knowledge creation support and HRI. Less upper concepts Some concepts with Future Work many sub concepts Manage the right issues of Wikipedia Japan Ontology by with Upper Ontologies. Some classes with no instances Some classes with popular instances 19.
Load more

Recommended publications
  • An Incomplete Bibliography of Publications in Historia Scientiarum (International Journal of the History of Science Society of Japan)
    An Incomplete Bibliography of Publications in Historia Scientiarum (International Journal of the History of Science Society of Japan) 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/ 27 December 2018 Version 1.03 Title word cross-reference $124.00 [Hij90]. $29.00 [Bur93a]. 3[+]1=8 [Hol03]. $49.95 [Yaj07]. 7 × 7 e `eme ieme th [Yam10]. 9 [Mur94]. [Gui86, Pen04, Yos81a]. [DP88].P [Ano94b]. ≈ n 2 2 [Pen04]. π [HKY89, Nak94a, Vol94]. π 3(1=8) [Mur92b]. i=1 xi = x [Ras94a]. × [Har87b]. 0 [Hig01a, Izu05, Miu03, Mor04b, Sat05, She06a, She06b]. 0-19-860665-6 [Sat05]. 0-19-927016-3 [Izu05]. 0-520-24607-1 [Yaj07]. 0-691-11445-5 [She06b]. 0-8018-8235-4 [She06a]. 0-86078-668-4 [Hig01a]. 000 [Sas81b]. 00FF [Yos82]. 02/06/2000 [Has01]. 1 [Kaw93a, Oka98, Yos98]. 10 [Høy03, Yos81c]. 10th [Suz81]. 11 [Hay94]. 12/02/1906 [Has01]. 1475/76 [Hig01b]. 1500 [Ito83]. 15073 [Mur05b]. 1 2 16th [Maa91]. 17 [Sat86, Sat87]. 1700 [Nak83]. 17th [Maa91, Oh14, Yin13]. 18.5cm [Har87b]. 1843 [Ito16]. 1847 [Nak00a]. 1847/48 [Nak00a]. 1880s [Kim08a]. 18th [Ano94b, Kaw11, Kob02, Lor86, Nag80, Oh14, Nak98, THI17]. 18th-century [Kob02]. 19 [Nis92]. 190F [Yos98]. 1920s [Bro07, Kan13, Kim08b]. 1930 [Yaj07]. 1930s [Bro89, Kan13]. 1940 [Fur97]. 1940s [Mat98, YW05]. 1950s [HR15, Yam09]. 1955 [Nis92]. 1960s [FH12].
    [Show full text]
  • People, Events, and Documents of Icmi's First
    ACTES HIST 3-2.qxp:- 11/4/11 11:25 Pgina 11 ACTES D’HISTÒRIA DE LA CIÈNCIA I DE LA TÈCNICA NOVA ÈPOCA / VOLUM 3 (2) / 2010, p. 11-50 PEOPLE, EVENTS, AND DOCUMENTS OF ICMI’S FIRST CENTURY FULVIA FURINGHETTI;1 LIVIA GIACARDI2 1DIPARTIMENTO DI MATEMATICA DELL’UNIVERSITÀ, GENOVA, ITALY. [email protected] 2DIPARTIMENTO DI MATEMATICA DELL’UNIVERSITÀ, TORINO, ITALY. [email protected] Summary: On the occasion of the ICMI centenary, the authors of the present paper built the website “The First Century of the International Commission on Mathematical Instruction (1908-2008). History of ICMI,” which contains information and documents about people, events, and bodies intervening in the first century of this Commission. This website provides an effective instrument for revisiting the history of ICMI and for reflecting on some key moments. In particular, it makes it possible to identify how the key ideas (internationalization, communication, solidarity) that inspired the founding of ICMI were realized, as well as the how the relationship with the community of mathe- maticians changed. In the present paper we walk through the Portrait gallery section of the website, fo- cusing on the presidents of ICMI and their contributions to the evolution of both the Commission’s policies and its methodological approaches to problems, looking at the history of ICMI from the perspective of the people who built it. Moreover, we present some statistical data concerning the life of ICMI (people, countries, meetings, etc.) and also offer flashes of lesser-known aspects that came to light after a reading of the doc- uments housed in ICMI Archives in Helsinki.
    [Show full text]
  • Kneser, Martin an Alan Baker Pronfelden, 2.8.1969
    Niedersächsische Staats- und Universitätsbibliothek Göttingen Nachlass Martin Kneser Professor der Mathematik 21.1.1928 – 16.2.2004 Provenienz: als Geschenk aus Familienbesitz erhalten Acc. Mss. 2007.3 Acc. Mss. 2010.4/2 Göttingen 2012 Inhaltsverzeichnis Seite Allgemeine Korrespondenz 3 Signatur: Ms. M. Kneser A 1 - A 437 Berufungsangelegenheiten 85 Signatur: Cod. Ms. M. Kneser B 1 - B 153 Habilitationsverfahren 116 Signatur: Cod. Ms. M. Kneser C 1 - C 9 Vorlesungsmanuskripte 118 Signatur: Cod. Ms. M. Kneser D 1 - D 74 Vorlesungs- und Seminarausarbeitungen, überwiegend von Schülern angefertigt 129 Signatur: Cod. Ms. M. Kneser E 1 - E 23 Übungen 136 Signatur: Cod. Ms. M. Kneser F 1 - F 44 Seminare und Arbeitsgemeinschaften 143 Signatur: Cod. Ms. M. Kneser G 1 - G 8 Manuskripte 145 Signatur: Cod. Ms. M. Kneser H 1 - H 23 Sonderdrucke eigener Veröffentlichungen 153 Signatur: Cod. Ms. M. Kneser I 1 Mathematikgeschichte : Materialien zu einzelnen Personen 154 Signatur: Cod. Ms. M. Kneser J 1 - J 9 Tagungen und Vortragsreisen 158 Signatur: Cod. Ms. M . Kneser K 1 - K 8 Arbeitsgemeinschaft Oberwolfach 165 Signatur: Cod. Ms. M. Kneser L 1 - L 4 Arbeiten von Doktoranden 166 Signatur: Cod. Ms. M. Kneser M 1 - M 16 Akten und Sachkorrespondenz zu wissenschaftlichen Einrichtungen 169 Signatur: Cod. Ms. M. Kneser N 1 - N 5 Urkunden 172 Signatur: Cod. Ms. M . Kneser O 1 - O 10 Varia 174 Signatur: Cod. Ms. M. Kneser P 1 - P 5 2 Allgemeine Korrespondenz Signatur: Cod. Ms. M. Kneser A 1 - A 437 COD. MS. M. KNESER A 1 Aleksandrov, Pavel S. Briefwechsel mit Martin Kneser / Pavel S.
    [Show full text]
  • Jean Delsarte
    JEAN DELSARTE Jean Delsarte naquit `aFourmies (Nord) le 19 octobre 1903, ann´eemˆeme o`ule math´ematicien Elie Cartan arriva `aNancy o`uil ´etait nomm´etitulaire de la chaire de calcul diff´erentiel et int´egralel’ann´eesuivante. En 1953, Del- sarte cr´ea l’Institut Elie Cartan dont nous c´el´ebrons cette ann´ee(2003) le cinquanti`emeanniversaire en mˆeme temps que le centenaire de la naissance de Delsarte qui joua un rˆoleprimordial dans le d´eveloppement des math´ema- tiques `aNancy. Apr`es une brillante scolarit´eprimaire et secondaire, Delsarte fut re¸cu en 1922 `al’Ecole Normale Sup´erieurede la rue d’Ulm. Il y partagea les conversations de salle d’´etude du math´ematicien Andr´eWeil et du phy- sicien Yves Rocard, tous de la mˆeme promotion. Se retrouv`erent aussi `a l’ENS les math´ematiciens Henri Cartan, fils d’Elie Cartan, Jean Coulomb (math´ematicien physicien), Paul Dubreil, Ren´ede Possel et le futur phi- losophe des math´ematiques Jean Cavaill`es (de la promotion 1923). Puis Marcel Brelot, Jean Dieudonn´eet Charles Ehresmann entr`erent `al’ENS en 1924, une promotion qui accueillit plusieurs futures c´el´ebrit´esdes sciences et des lettres tels le physicien Louis N´eel, les philosophes Raymond Aron, Georges Canguilhem, Paul Nizan et Jean-Paul Sartre. Delsarte avait quitt´e la rue d’Ulm quand les math´ematiciens Claude Chevalley et Jean Leray travers`erent l’illustre portail en 1926. Plusieurs de ces math´ematiciens nor- maliens form`erent plus tard le noyau originel du groupe Bourbaki.
    [Show full text]
  • On Conjugacy Classes of the Pro-$Ell$ Braid Group of Degree $2$
    九州大学学術情報リポジトリ Kyushu University Institutional Repository On conjugacy classes of the Pro-$ell$ braid group of degree $2$ Kaneko, Masanobu Department of Mathematics, Faculty of Science, University of Tokyo http://hdl.handle.net/2324/20418 出版情報：Proceedings of the Japan Academy. Ser. A, Mathematical sciences. 62 (7), pp.274-277, 1986. The Japan Academy バージョン： 権利関係： 274 Proc. Japan Acad., 62, Ser. A (1986) [Vol. 62 (A), On Conjugacy Classes of the Pro.l braid Group of Degree 2" By Masanobu KANEKO Department of Mathematics, Faculty of Science, University of Tokyo (Communicated by Shokichi IYANAGA, M. ft. A., Sept. 12, 1986) 0. Introduction. In [2], Y. Ihara studied the "pro-/braid group" of degree 2 which is a certain big subgroup #Out of the outer auto- morphism group of the free pro-/group of rank 2. There is a canonical representation 9: G-*# of the absolute Galois group G=Gal (/Q) which is unramified outside l, and for each prime p=/=l, the Frobenius of p deter- mines a conjugacy class C of which is contained in the subset formed of all elements of "norm" p (loc. cit. Ch. I). In this note, we shall prove that P contains infinitely many #-conjugacy classes, at least if p generates Z topologically. It is an open question whether one can dis- tinguish the Frobenius conjugacy class from other norm-p-conjugacy classes. The 1. result. Let be a rational prime. We denote by Zl, Z and Q, respectively, the ring of /-adic integers, the group of /-adic units and the field of/-adic numbers.
    [Show full text]
  • Travaux De Claude Chevalley Sur La Théorie Du Corps De Classes
    View metadata, citation and similar papers at core.ac.uk brought to you by CORE Japan. J. Math. 1, 25–85 (2006) provided by Springer - Publisher Connector DOI: 10.1007/s11537-006-0502-5 Travaux de Claude Chevalley sur la theorie´ du corps de classes: Introduction Shokichi Iyanaga Received: 13 July 2005 / Accepted: 8 February 2006 Published online: 2 April 2006 c The Mathematical Society of Japan and Springer-Verlag 2006 Communicated by: Toshiyuki Kobayashi Abstract. This article explains the contributions of Claude Chevalley to class field theory. His leading motivation on the subject seemed to be to give an “arithmetic proof” to the theory and to reveal the nature of the outstanding harmony of the Takagi–Artin class field theory, which had been established just at the time he started his research. His main achievements on the subject may have been the first arithmetic proof of the local class field theory without depending on the global theory, arithmetization of the global class field theory, and its generalization and presen- tation for infinite extensions by introducing ideles, which are now a kind of natural language in algebraic number theory. On the one hand, in this article we have attempted to provide rigorous mathematical description. On the other hand, although we have not demonstrated any proof, we have endeavored to show the development of the series of mathematical ideas that produced a variety of important concepts, bore fruit as class field theory, and then moved Chevalley to create his remarkable and influential works. Keywords and phrases: class field theory, idele, C.
    [Show full text]
  • Interpolation and Sampling: E.T. Whittaker, K. Ogura and Their Followers
    J Fourier Anal Appl (2011) 17: 320–354 DOI 10.1007/s00041-010-9131-8 Interpolation and Sampling: E.T. Whittaker, K. Ogura and Their Followers P.L. Butzer · P.J.S.G. Ferreira · J.R. Higgins · S. Saitoh · G. Schmeisser · R.L. Stens Received: 7 December 2009 / Published online: 13 July 2010 © Springer Science+Business Media, LLC 2010 Abstract The classical sampling theorem has often been attributed to E.T. Whittaker, but this attribution is not strictly valid. One must carefully distinguish, for example, between the concepts of sampling and of interpolation, and we find that Whittaker worked in interpolation theory, not sampling theory. Again, it has been said that K. Ogura was the first to give a properly rigorous proof of the sampling theorem. We find that he only indicated where the method of proof could be found; we identify what is, in all probability, the proof he had in mind. Ogura states his sampling the- In Memory of Gen-ichirô Sunouchi (1911–2008), a Great Mathematician and Human Being Communicated by Hans G. Feichtinger. P.L. Butzer · R.L. Stens () Lehrstuhl A für Mathematik, RWTH Aachen University, 52056 Aachen, Germany e-mail: [email protected] P.L. Butzer e-mail: [email protected] P.J.S.G. Ferreira IEETA/DETI, Universidade de Aveiro, 3810-193 Aveiro, Portugal e-mail: [email protected] J.R. Higgins I.H.P., 4 rue du Bary, 11250 Montclar, France e-mail: [email protected] S. Saitoh Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal e-mail: [email protected] G.
    [Show full text]
  • Notices of the American Mathematical Society
    ISSN 0002-9920 of the American Mathematical Society February 2004 Volume 51, Number 2 Geometrization of 3-Manifolds via the Ricci Flow page 184 RIMS, an Institute for Japan and the World page 194 Los Angeles Meeting page 290 Lawrenceville Meeting page 292 Houston Meeting page 295 Heawood's demonstration of Kempe's error (see page 207) Document conversion between Microsoft™ WORD and LaTeX is easier than watching PING-PONG! Paintwork © 2003 Alex Chikrii. a, rd \i Word2TeX and TeX2Word are either registered trademarks or trademarks of Chikrii Softlab in the United States and/ or other countries. Microsoft, Microsoft Word are either registered trademarks or trademarks of Microsoft Corporation in the United States and/ or other countries. Other product and company names mentioned herein may be trademarks of their respective owners. ~ Chikrii Soft lab ~ http:/jwww.chikrii.com International Mathematics Research Notices Editors Website: http://imrn.hindawi.com Morris Weisfeld IMRN provides very fast publication of research articles of high current interest in all Managing Editor areas of mathematics. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics. Issues are published as frequently as nec­ Dan Abramovich essary. IMRN is expected to publish 80± issues in volume 2004. The articles of the IMRN are Enrico Arbarello reviewed/indexed in COMPUMATH Citation Index, Current Contents, lSI Alerting Services, Joseph Bernstein Mathematical Reviews, Science Citation Index, SciSearch, and Zentralblatt fUr Mathematik. Enrico Bombieri There are no page charges. Submissions are made by email to [email protected]. Richard E. Borcherds New print subscribers shall receive a free copy of all back volumes, i.e., volumes 1991-2003.
    [Show full text]
  • Comparison of Chinese and Japanese Developments In
    Comparison of Chinese and Japanese Developments in Mathematics during the Late 19th and Early 20th Centuries by Shing-Tung Yau Department of Mathematics, Harvard University J. Dirichlet (1805-1859) W. Hamilton (1805-1865) 1 Foreword H. Grassmann (1809-1877) After the invention of calculus by I. Newton and G. J. Liouville (1809-1892) Leibniz much fundamental progress in science has oc- E. Kummer (1810-1893) curred. There were a large number of outstanding E. Galois (1811-1832) mathematicians in Europe in the period of the eighteenth G. Boole (1815-1864) and the nineteenth centuries. I list here the names of K. Weierstrass (1815-1897) some of the most famous ones according to their birth G. Stokes (1819-1903) years in the eighteenth and nineteenth centuries. P. Chebyshev (1821-1894) A. Cayley (1821-1895) D. Bernoulli (1700-1782) C. Hermite (1822-1901) G. Cramer (1704-1752) G. Eisenstein (1823-1852) L. Euler (1707-1783) L. Kronecker (1823-1891) A. Clairaut (1713-1765) W. Kelvin (1824-1907) J. d’Alembert (1717-1783) B. Riemann (1826-1866) J. Lambert (1728-1777) J. Maxwell (1831-1879) A. Vandermonde (1735-1796) L. Fuchs (1833-1902) E. Waring (1736-1798) E. Beltrami (1835-1900) J. Lagrange (1736-1814) S. Lie (1842-1899) G. Monge (1746-1818) J. Darboux (1842-1917) P. Laplace (1749-1827) H. Schwarz (1843-1921) A. Legendre (1752-1833) G. Cantor (1845-1918) J. Argand (1768-1822) F. Frobenius (1849-1917) J. Fourier (1768-1830) F. Klein (1849-1925) C. Gauss (1777-1855) G. Ricci (1853-1925) A. Cauchy (1789-1857) H. Poincare (1854-1912) A.
    [Show full text]
  • Central Committees of Ciem/Imuk (Commission Internationale De L’Enseignement Mathématique / Internationale Mathematische Unterrichtskommission)
    CENTRAL COMMITTEES OF CIEM/IMUK (COMMISSION INTERNATIONALE DE L’ENSEIGNEMENT MATHÉMATIQUE / INTERNATIONALE MATHEMATISCHE UNTERRICHTSKOMMISSION) 1908-1912 President Felix KLEIN (Germany) Vice-President George GREENHILL (UK) Secretary-General Henri FEHR (Switzerland) 1912-1920 President Felix KLEIN (Germany) Vice-Presidents George GREENHILL (UK) David Eugene SMITH (USA) Secretary-General Henri FEHR (Switzerland) Members at large Guido CASTELNUOVO (Italy) (co-opted 1913) Emanuel CZUBER (Austria) Jacques HADAMARD (France) 1928-1932 President David Eugene SMITH (USA) Vice-Presidents Guido CASTELNUOVO (Italy) Jacques HADAMARD (France) Secretary-General Henri FEHR (Switzerland) Member at large Walter LIETZMANN (Germany) 1932-1936, 1936- President Jacques HADAMARD (France) Vice-Presidents Poul HEEGAARD (Norway) Walter LIETZMANN (Germany) Gaetano SCORZA (Italy) Secretary-General Henri FEHR (Switzerland) Member at large Eric Harold NEVILLE (UK) EXECUTIVE COMMITTEES OF IMIC (INTERNATIONAL MATHEMATICAL INSTRUCTION COMMISSION) 1952-1954 Honorary President Henri FEHR (Switzerland) President Albert CHÂTELET (France) Vice-Presidents Georges KUREPA (Yugoslavia) Saunders MAC LANE (USA) Secretary Heinrich BEHNKE (Germany) Members at large Aksel Frederik ANDERSEN (Denmark) Guido ASCOLI (Italy) Evert W. BETH (Netherlands) Ralph L. JEFFERY (Canada) Edwin A. MAXWELL (UK) Ex officio Marshall H. STONE (USA) - President of IMU EXECUTIVE COMMITTEES OF ICMI (INTERNATIONAL COMMISSION ON MATHEMATICAL INSTRUCTION) 1955-1958 President Heinrich BEHNKE (Germany) Vice-Presidents Georges KUREPA (Yugoslavia) Marshall H. STONE (USA) Secretary Julien DESFORGE (France) Members at large Ram BEHARI (India) Edwin A. MAXWELL (UK) Kay PIENE (Norway) Ex officio Heinz HOPF (Switzerland) - President of IMU 1959-1962 President Marshall H. STONE (USA) Vice-Presidents Heinrich BEHNKE (Germany) Georges KUREPA (Yugoslavia) Secretary Gilbert WALUSINSKI (France) Members at large Yasuo AKIZUKI (Japan) Alexandr D.
    [Show full text]
  • Mathematical Genealogy of the University of Michigan-Dearborn
    Joseph Johann von Littrow William Ernest Schmitendorf Tosio Kato Erhard Weigel Ancestors of UM-Dearborn Faculty Werner Güttinger Albert Turner Bharucha-Reid George Yuri Rainich Christian Otto Mohr Franz Josef Ritter von Gerstner Purdue University 1968 University of Tokyo 1951 Universität Leipzig 1650 in Mathematics and Statistics Mathematical Genealogy of the University of Michigan-Dearborn Kazan State University 1913 Department of Mathematics and Statistics Secondary The Mathematics Genealogy Project is a service of Advisor North Dakota State University and the American Mathematical Society. Nikolai Dmitrievich Brashman John Riordan, M.S. Bruce Scott Elenbogen Preben Kjeld Alsholm Frank Jones Massey Gottfried Wilhelm Leibniz http://www.genealogy.math.ndsu.nodak.edu/ Otto Mencke Dieter Armbruster Ranganatha Srinivasan Ruel Vance Churchill August Föppl Bernard(us) Placidus Johann Nepomuk Bolzano Moscow State University 1834 University of Michigan 1956 Northwestern University 1981 University of California, Berkeley 1972 University of California, Berkeley 1971 Universität Altdorf 1666 Universität Leipzig 1665, 1666 Universität Stuttgart 1985 Wayne State University 1965 University of Michigan 1929 Universität Stuttgart University of Prague 1805 Former UM-Dearborn Faculty in Mathematics and Statistics Primary Pafnuty Lvovich Chebyshev Jacob Bernoulli Johann Christoph Wichmannshausen Rama Chidambaram John Albert Gillespie Earl D. Rainville Ludwig Prandtl Franz Moth Józef Maximilian Petzval Advisor University of St. Petersburg 1849 Universität Basel 1684 Universität Leipzig 1685 Arizona State University 2003 Temple University 1982 University of Michigan 1939 Ludwig-Maximilians-Universität München 1899 University of Prague 1822 University of Pest 1832 Current UM-Dearborn Faculty in Mathematics and Statistics Andrei Andreyevich Markov Johann Bernoulli Christian August Hausen James Ward Brown H F.
    [Show full text]
  • Infinitesimal Variations of Hypersurfaces of a Kaehlerian Manifold
    J. Math. Soc. Japan Vol. 29, No. 2, 1977 Infinitesimal variations of hypersurfaces of a Kaehlerian manifold Dedicated to Prof. Shokichi Iyanaga on his seventieth birthday By Kentaro YANG (Received Feb. 10, 1976) (Revised May 27, 1976) § 0. Introduction. B. Y. Chen [1, 2, 3], C. S. Houh [2], S. Tachibana [10] and the present author [3, 9, 10] have recently studied infinitesimal variations of submanif olds of Riemannian and Kaehlerian manifolds. (See also [7].) The main purpose of the present paper is to study infinitesimal variations of hypersurfaces of a Kaehlerian manifold, to obtain variations of structure tensors of the almost contact metric structure induced on the hypersurf aces from the Kaehlerian structure of the ambient manifold and to prove theorems on variations of Sasakian hypersurf aces with f -sectional curvature a2. (For the definition of a Sasakian manifold with f -sectional curvature a2, see § 1.) In § 1 we state some preliminaries on almost contact metric structure in- duced on a hypersurface from the Kaehlerian structure of the ambient mani- fold. In § 2 we consider infinitesimal variation of a hypersurface of a Kaehlerian manifold and obtain variations of structure tensors of almost contact metric structure induced on the hypersurf ace. § 3 is devoted to the study of what the author calls parallel variation and § 4 to that of variation of the second fundamental form of the hypersurface. In the last § 5, we consider variations of a Sasakian hypersurf ace with f sectional curvature a2 and obtain the condition that an infinitesimal variation carries a Sasakian hypersurf ace with f -sectional curvature a2 into a hyper- surface of the same kind.
    [Show full text]