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Thue Axel:     more detail

Selected Mathematical Papers (German Edition) by Axel Thue, 1977-04 Mathématicien Norvégien: Niels Henrik Abel, Sophus Lie, Atle Selberg, Thoralf Skolem, Ludwig Sylow, Kristen Nygaard, Axel Thue, Viggo Brun (French Edition) Spectrum and extended states in a harmonic Chain with controlled disorder: Effects of the thue-Morse symmetry by Françoise Axel, 1989

lists with details

41. Mathenomicon.net : Reference : Prouhet-Thue-Morse Sequence
    Etymology English E. Prouhet French mathematician + axel thue Norwegian mathematician(18631922) + Harald Marston Morse American mathematician (1892-1977).  
    http://www.cenius.net/refer/display.php?ArticleID=prouhetthuemorsesequence

42. Axel Thue's Papers On Repetitions In Words : A Translation Montréal : Laboratoi
    papers on repetitions in words a translation. Publication,Montréal Laboratoire de combinatoire et d informatique  
    http://www2.biblinat.gouv.qc.ca/rfq/notices/00002570.htm

43. Ny Side 1
    thue, axel (1863-1922) Torricelli, Evengelista (1608-47) Zenon (ca.  
    http://www.matte.no/matematikere.htm

44. T-Ti
    free parsing, 1103 and pointerbased encoding, 1071 and testing invariances, 1022and testing reversibility, 1017 thue, axel (Norway, 1863-1922) and circle  
    http://www.wolframscience.com/nksonline/index/t-ti.html

45. INDEX OF NAMES
    18601948) and forms in nature, 967 and growth processes, 1010 and leaf shapes,1006 and theoretical biology, 1004 thue, axel (Norway, 1863-1922) and circle  
    http://www.wolframscience.com/nksonline/index/names/t-z.html?SearchIndex=von Neu

46. Jean Berstel
    J. Berstel, axel thue s work on repetitions in words (ps) P. Leroux, C. Reutenauer(eds.), Séries formelles et combinatoire algébrique Publications du LaCIM  
    http://www-igm.univ-mlv.fr/~berstel/Recherche.html

47. Biografisk Register
    Translate this page 335-395) Thom, A. Thom, AS Thompson, John Griggs (1932-) thue, axel (1863-1922) Torricelli,Evengelista (1608-47) Tsjebysjev, Pafnutij Lvovitsj (1821-94) Turing  
    http://www.geocities.com/CapeCanaveral/Hangar/3736/biografi.htm

48. Books Written In Norwegian
    QA3.T47 1977 Selected mathematical papers of axel thue / with an introduction byCarl Ludwig Siegel ; ed. by Trygve Nagell et al.. thue, axel, 18631922.  
    http://www.waikato.ac.nz/library/resources/lang/lang_nor.html

49. Nuwen.net - Random Work
    The Norwegian mathematican axel thue proved nearly 100 years ago that there doexist arbitrarily long ternary squarefree sequences, and gave a method for  
    http://nuwen.net/work.shtml
    
    Extractions: You load sixteen tons, what do you get? De Novo: Links Culture Parrises Squares GeForce FX Reviews: Rating System Primary: bwtzip The Quotation Collection Downloads Anime/SF ... Deus Ex Diversions: Coloring Paper Airplane Origami Polyhedra Foundation Site Info: Archived News Personal Page Essays: Space Internet Programming C Intro ... Games Tech: C++ Computer PNG Random: Wallpaper Diet Mersenne Primes Book Reviews ... LASTLY Jump To: Contents Ternary Sequences Hamiltonian Cycles ElGamel ... Lambda Functions All code appearing on this page is mine, and distributed under the GNU GPL. (This was initially written directed at CS1 students, unrelated to any course work.) Let's look at sequences of digits in certain bases. For example, in base 10 one could be 1 2 3 4 5 6 7 8 9. (Which I will write as 0123456789 to save space - we won't work with base 11 or higher. :->) We'll call a "square" sequence one that has at least one pair of adjacent identical subsequences. Meaning that it looks like:

50. September 2002 Seminar
    axel Moulin. Haakon thue Lie. IP management, a business opportunity today, arequirement tomorrow Haakon thue Lie and axel Moulin Partners in Leogriff.  
    http://www.leogriff.no/seminar/pastseminars.htm
    
    Extractions: Haakon Thue Lie Seminars and meetings we have arranged in the past: IKT- og kunnskapsbasertee virksomheter i Norge har i stor grad oversett den strategiske betydningen av og forsømt det praktiske arbeidet rundt immaterielle rettigheter (IPR). Dette er i ferd med å endre seg; for eksempel krever deltakelse i EUs 6. rammeprogram en klar IPR-strategi, og universitetene er i ferd med å utarbeide IPR-strategier. Utviklingstempoet gjør at patentering, særlig av programvare, av mange bedrifter har blitt sett på som unødvendig. Dette har først til at andre former for IPR ikke har blitt vurdert, og heller ikke muligheten for at andre bedrifter patenterer teknologi. I dette seminaret har vi mange korte innledninger, både fra industri og IPR-eksperter - og deretter har vi tre workshops hvor vi legger opp til diskusjon rundt case og erfaringsutveksling. Det er en flott mulighet til å få en oversikt over problemstillingene og diskutere dem med andre.

51. People At Leogriff
    Haakon thue Lie. axel Moulin. Tim Milligan. Katarina Lundblad Pinnekamp.Tom Ekeberg. Ivar Bergland. axel and Haakon both have more than  
    http://www.leogriff.no/people.htm
    
    Extractions: M. Sc. (E.N.S.G.-Geophysics, Nancy, France), M.B.A. (N.S.M.-BI, Oslo, Norway). Axel has started his career in the Oil Industry, and has later worked for the world leader for water treatment engineering as an Export Commissioning Supervisor, a Process Engineer and a Bid Manager for major export projects. Axel has also been the Project Manager for the selection and implementation of a Customer Management and Billing system for a European actor in the Internet Unified Messaging business, and was involved in a strategy consulting project for an e-learning actor.

52. Forskning.no: Matematisk Vekst I Abels Fotspor
    Også axel thue, Thoralf Skolem, Viggo Brun, Ernst Selmer axel thue (1863– 1922). axel thue arbeidet med tallteori, logikk, geometri og mekanikk.  
    http://www.forskning.no/Artikler/2002/juni/1023116423.71
    
    Extractions: Niels Henrik Abel er ett av de største matematiske genier verden har fostret, og årets 200-årsjubileum brukes til å markere hans innsats. Det er ikke fullt så godt kjent at det grodde friskt i sporene etter Abel så godt at Norge nærmest var en matematisk stormakt på slutten av 1800-tallet og langt utover på 1900-tallet. - Du skal ikke åpne mange lærebøker i avansert matematikk før du støter på Axel Thues teorem, Sophus Lies grupper eller Ludwig Sylows teorier. Norge som nasjon var overrepresentert med fremragende matematikere på slutten av 1800-tallet, forteller Geir Ellingsrud, som er professor i matematikk ved UiO og deltaker i årets forskningsgruppe i matematikk ved SHS.

53. Encyclopædia Britannica
    Thucydides (Gr. pol.), Thucydides manuscript (anc. text), thue, axel (Nor. math.),thug (Indian bandit), Thugga (Roman city, Tun.), thuggee (assassin) see thug,  
    http://www.britannica.com/eb/index?seq=332826&alphakey=t&pageDir=p

54. A Symmetry Group Of A Thue - Morse Quasicrystal
    Selsk. Skr. I. Mat. Nat. Kl. Christiana 13 1 (reprinted 1977 in Selected MathematicalPapers of axel thue (Oslo, Universitetsforlaget) pp 139, 413).  
    http://www.iop.org/EJ/article/0305-4470/31/23/001/ja31023l1.html
    
    Extractions: @import url(http://ej.iop.org/style/nu/EJ.css); Electronic Journals quick guide Journals sitemap: IOP home page IOP online services EJs HOME JOURNAL HOME   - Editorial information   - Scope   - Editorial board   - Submit an article   - Request sample copy EJS EXTRA   - IOP Select   - IOP Physics Reviews   - BEC Matters! SEARCH   - Content finder   - Default searches AUTHORS   - Submit an article   - Status enquiry   - Get LaTeX class file   - Classification schemes   - Scope   - Editorial board REFEREES   - Submit referee report   - Become a referee   - Update personal details   - Classification schemes   - Scope   - Editorial board LIBRARIANS   - Register your institution   - Pricing and ordering   - Library branding   - How to link to IOP journals   - Librarian help USER OPTIONS   - Create account   - Lost password

55. String Rewriting And The Fibonacci Word
    String rewriting has been studied for about a century, since the Norwegian logicianand mathematician axel thue devised and perused The Word Problem as an  
    http://www.washingtonart.net/whealton/fibword.html
    
    Extractions: Steve Whealton String Rewriting and the Fibonacci Word Something that my musical and my visual work have in common is maintaining a proper balance between sameness and randomness. I am forever looking for new, interesting, and different ways to create patterns, to alter patterns, to merge patterns, and to render and manifest patterns in ways audible and visible. Greep Theory . The Thue-Morse Word and the Fibonacci Word seemed to have been invented just for me. Unlike with greeps, however, the strings dealt with in rewriting are of varying, indefinite, or even of a theoretically infinite length. A given set of rules are applied over and over so as to produce, in theory at least, a string that can go on forever! This "infinite" string goes by the provocative name, the "Omega Word." String rewriting has been studied for about a century, since the Norwegian logician and mathematician Axel Thue devised and perused "The Word Problem" as an exercise in logic. Today, a field of study, called "Combinatorics on Words," has grown up from this beginning. It flourishes in France and elsewhere. But my earliest work with strings was visual. Here is how it fell out.

56. Norske Matematikere
    axel thue (1863 1922). Selected Mathematical Papers of axel thue. Universitetsforlaget,Oslo 1977. Sigmund Selberg axel thue. Normat 28 (4) (1980) pp.  
    http://home.hia.no/~aasvaldl/norskem.html
    
    Extractions: Min hjemmeside. Norske matematikere Adresser til norske matematikere Bent Birkeland har samlet en del materiale i "Norske matematikere". Gyldendal Norsk Forlag Professorer i matematikk ved Universitetet i Oslo. Tapir Avdeling for realfag, hjemmeside. ABELSENTERET i Gjerstad "Niels Henrik Abel - et geni og hans samtid" . Gyldendal Norsk Forlag, Oslo (1954). "Niels Henrik Abel: mathematician extraordinary." University of Minnisota Press (1957). de Niels Henrik Abel. - Nouv. ed. Johnson Reprint Corporation (1965). Bilder og kart (kommer ...). Fr. Lange-Nielsen: "Niels Henrik Abel." Nordisk Mat. Tidsskrift. Bd. 1 (1953) pp. 65 - 90. Karl Egil Aubert: "Niels Henrik Abel." Normat nr. 27 (4) (1979) pp. 129 - 140. Aschehoug forlag Et foranskutt lyn: Niels Henrik Abel og hans samtid Oversettelse til engelsk Springer-Verlag , se anmeldelse av Jeremy J. Gray i MAA Online Arild Stubhaug: " Abelhaugen i Slottsparken." Kronikk i Aftenposten, 25.09.96. Niels Henrik Abel side ved MacTutor History of Mathematicians archive.

57. S. Arshon Demonstration De L Existence Des Suites Asymetriques
    (Russian) 7872 Jean Berstel axel thue s work on repetitions in words. Internet1995, 16p. axel thue Ueber unendliche Zeichenreihen. Norske Vid. Selsk. Skr.  
    http://felix.unife.it/Root/d-Mathematics/d-Dynamical-systems/d-Topological-dynam
    
    Extractions: S. Arshon: Demonstration de l'existence des suites asymetriques infinies. Mat. Sb. 44 (1937), 769-777. (Russian) 7872 Jean Berstel: Axel Thue's work on repetitions in words. Internet 1995, 16p. Valerie Berthe'/Sebastien Ferenczi/Christian Mauduit (ed.): Substitutions in dynamics, arithmetics and aombinatorics. Springer LN Math. 1794 (2002), 400p. Eur 63. The volume is published under the pseudonym N. Pytheas Fogg (why ?). Ethan Coven: Endomorphisms of substitution minimal sets. Zeitschr. Wtheorie 20 (1971), 129-133. 10478 Ethan Coven/Michael Keane: The structure of substition minimal sets. Trans. AMS 162 (1971), 89-102. 10518 F. Dekking: The spectrum of dynamical systems arising from substitutions of constant length. Z. Wtheorie 41 (1978), 221-239. 10573 F. Dekking/Michael Keane: Mixing properties of substitutions. Z. Wtheorie 42 (1978), 23-33. Aldo De Luca/Stefano Varricchio: Some combinatorial properties of the Thue-Morse sequence and a problem in semigroups. Theor. Comp. Sci. 63 (1989), 333-348. 15419 Andrew Gleason: Semigroups of shift register matrices. Math. Systems Theory 25 (1992), 253-267. From a course given at Princeton in 1960. 7902 Walter Helbig Gottschalk: Substitution minimal sets. Trans. AMS 109 (1963), 467-491. 1031 Walter Helbig Gottschalk/Gustav Arnold Hedlund: Topological dynamics. AMS 1955. 2554 Walter Helbig Gottschalk/Gustav Arnold Hedlund: A characterization of the Morse minimal set. Proc. AMS 15 (1964), 70-74. 10516 Gustav Arnold Hedlund: Endomorphisms and automorphisms of the shift dynamical system. Math. Systems Theory 3 (1969), 320-375. 14037 Charles Holton/Luca Zamboni: Geometric realizations of substitutions. Bull. Soc. Math. France 126 (1998), 149-179. 12126 Teturo Kamae: Spectrum of a substitution minimal set. J. Math. Soc. Japan 22 (1970), 567-578. 2555 Michael Keane: Generalized Morse sequences. Zeit. Wtheorie 10 (1968), 335-353. 5716 Harvey Keynes: The proximal relation in a class of substitution minimal sets. Math. Systems Theory 1 (1967), 165-174. 10479 Nelson Markley: Substition-like minimal sets. Israel J. Math. 22 (1975), 332-353. 830 John Martin: Substitution minimal flows. Am. J. Math. 93 (1971), 503-526. 10512 John Martin: Minimal flows arising from substitutions on non-constant length. Math. Systems Th. 7 (1973), 73-82. 10517 John Martin: Generalized Morse sequences in n symbols. Proc. AMS 54 (1976), 379-383. 10519 John Martin: The structure of generalized Morse minimal sets on n symbols. Trans. AMS 232 (1977), 343-356. P. Michel: Stricte ergodicite' d'ensembles minimaux de substitutions. C.R. Ac. Sci. Paris 278 (1974), 811-813. Marston Morse: Recurrent geodesics on a surface of negative curvature. Trans. AMS 22 (1921), 84-100. Marston Morse: A solution of the problem of infinite play in chess. Abstract 360, Bull. AMS 44 (1938), 632. Marston Morse/Gustav Arnold Hedlund: Unending chess, symbolic dynamics and a problem in semigroups. Duke Math. J. 11 (1944), 1-7. G. Rauzy: Nombres algebriques et substitutions. Bull. Soc. Math. 110 (1982), 147-178. Axel Thue: Ueber unendliche Zeichenreihen. Norske Vid. Selsk. Skr. (?) 7 (1906), 1-22. Axel Thue: Ueber die gegenseitige Lage gleicher Teile gewisser Zeichenreihen. Videnskabsselskabets Skrifter (?) (1906), ... Axel Thue: Lage gleicher Teile gewisser Zeichenreihen. Norske Vid. Selsk. Skr. (?) 1 (1912), 1-67.

58. Beezer's Academic Genealogy
    Albert Thoralf Skolem TCSGMHMBDM; axel thue TCSGMHM BDM;Marius Sophus Lie MHM; Peter Ludwig Mejdell Sylow MHM. The  
    http://buzzard.ups.edu/genealogy.html
    
    Extractions: Here it is the succession of PhD advisers and students that goes backwards in time from my own degree. For the later entries it is not clear that there was a formal advisor/student/degree relationship, but there is evidence that one person was influenced in their education by the other. It seems odd that [TCSG] lists Ore as a student of Skolem, with Ore's degree awarded in 1924 while [BDM] lists Skolem's degree as being given in 1926. The following quotes are from articles in the Biographical Dictionary of Mathematicians [BDM]: Skolem: "In the latter year [1916] he returned to Oslo, where he was made Dozent in 1918. He received his doctorate in 1926." (H. Oettel, p. 2296) Thue: "Thue enrolled at Oslo University in 1883 and became a candidate for the doctorate in 1889." (Viggo Brun, p. 2460)

59. Axel Oxenstiernas Skrifter Och Brevväxling
    Kanslioriginal. RA/Oxenstiernska samlingen axel Oxenstierna av Södermöre //E724. W. Gn. Authoritet undt befehll thue. Dieses seze ich in E. Erl. W. Gn.  
    http://62.20.57.212/ra/ao/Spens_1628-30_SWE.html
    
    Extractions: a Oxenstierna, Gabriel Gustafsson (1587-1640), Councillor of the Realm from 1618 and Lord Chief Justice ( riksdrots ) from 1634. See SBL , vol. 28, Stockholm 1992-1994, pp. 524-528. Two hundred and eighty-six letters from Gabriel Oxenstierna to AO from 1611 to 1640 are extant in the Oxenstierna collection (edited in AOSB , II, 3, pp. 1-466).

60. The Works And Correspondence Of Axel Oxenstierna
    Translate this page Chancellery autograph. RA/Oxenstiernska samlingen axel Oxenstierna av Södermöre//E 724. W. Gn. Authoritet undt befehll thue. Dieses seze ich in E. Erl.  
    http://62.20.57.212/ra/ao/Spens_1628-30_ENG.html
    
    Extractions: a Oxenstierna, Gabriel Gustafsson (1587-1640), Councillor of the Realm from 1618 and Lord Chief Justice ( riksdrots ) from 1634. See SBL , vol. 28, Stockholm 1992-1994, pp. 524-528. Two hundred and eighty-six letters from Gabriel Oxenstierna to AO from 1611 to 1640 are extant in the Oxenstierna collection (edited in AOSB , II, 3, pp. 1-466).

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