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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

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1. Thue
   Axel Thue. Born 19 Feb 1863 in Tönsberg, Norway Died 7 March 1922 in Oslo,Norway. Axel Thue was the son of Niels Thue and Nicoline Cathinka Eger.  
   http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Thue.html
   
   Extractions: Axel Thue was the son of Niels Thue and Nicoline Cathinka Eger. He studied at Voss's school in Oslo, where he showed a great interest in physics, completing his studies there in 1883. He then enrolled at the University of Oslo graduating in 1889. He went to Leipzig in 1890 and spent a year studying under Lie . However, [1]:- ... his works do not reveal Lie 's influence, probably because of Thue's inability to follow anyone else's line of thought. He also spent a while in Berlin where he attended lectures by Helmholtz Fuchs and Kronecker . Back in Olso, Thue held a scholarship in mathematics from 1891 to 1894. On 6 July 1894 he married Lucie Collett Lund who was ten years younger than Thue. Then Thue was appointed to Trondheim Technical College where he worked from 1894 until 1903. He was appointed as professor of applied mathematics at Oslo University in 1903. He held this post until his death in 1922. In 1909 he produced an important paper, published in

2. Axel Thue
   Axel Thue Filmography, Awards, Biography, Agent, Discussions, Photos, News Articles, Fan Sites Discuss this person with other users on IMDb message board for Axel Thue. Find where Axel Thue is  
   http://us.imdb.com/Name?Thue, Axel

3. Poster Of Thue
   Axel Thue. lived from 1863 to 1922. Thue studied Diophantine equations,showing that, for example, y 3 2x 2 = 1 cannot be satisfied  
   http://www-gap.dcs.st-and.ac.uk/~history/Posters2/Thue.html

4. Axel Thue - Wikipedia, The Free Encyclopedia
   Printable version Disclaimers. Not logged in Log in Help. AxelThue. From Wikipedia, the free encyclopedia. Axel Thue (19 February  
   http://en.wikipedia.org/wiki/Axel_Thue
   
   Extractions: Axel Thue 19 February 7 March ) was a Norwegian mathematician , known for highly original work in diophantine approximation , and combinatorics He stated in 1914 the so-called Word problem or Thue problem , closely related to the halting problem See also: edit MacTutor biography http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Thue.html Views Personal tools Navigation Search Toolbox What links here Related changes Special pages This page was last modified 07:02, 5 May 2004. All text is available under the terms of the GNU Free Documentation License (see for details).

5. Axel Thue
   Axel Thue. Axel Thue was born in Tönsberg, Norway, on February 19, 1863. 20, 1995.G. Hedlund, Remarks on the work of Axel Thue on sequences, Nordisk Mat.  
   http://www.student.cs.uwaterloo.ca/~cs360/Hall/thue.html
   
   Extractions: Acta Mathematica from 1916-1922. Thue is sometimes known as the "father of formal languages". He was the first to investigate the problem of finding an infinite sequence over a finite alphabet that did not contain any occurrences of adjacent identical blocks, a property today known as squarefreeness . Unfortunately, because his papers on repetitions in words were published in a relatively obscure Scandinavian journal, his work was forgotten and later rediscovered by many writers, such as Max Euwe and Marston Morse. However, Gustav Hedlund later rediscovered Thue's contribution and popularized it. Thue also made fundamental contributions to number theory (particularly transcendence theory). Thue died in Oslo, Norway, on March 7, 1922. G. Hedlund, Remarks on the work of Axel Thue on sequences, Nordisk Mat. Tidskrift T. Nagell, A. Selberg, S. Selberg, and K. Thalberg, eds., Selected Mathematical Papers of Axel Thue , Universitetsforlaget, Oslo, 1977. Back to Theory of Computing Hall of Fame Main Page

6. Axel Thue - Encyclopedia Article About Axel Thue. Free Access, No Registration N
   Effective results in number theory encyclopedia article about These latter could be read quite directly as results on Diophantine equations,after the work of Axel thue axel Thue (19 February 1863 - 7 March 1922) was a  
   http://encyclopedia.thefreedictionary.com/Axel Thue

7. Thue
   Axel Thue. Born 19 Feb 1863 in Tönsberg, Norway Died 7 March 1922 inOslo, Norway. Show birthplace location. Axel Thue studied under Lie.  
   http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/Th.htm
   
   Extractions: Previous (Alphabetically) Next Welcome page Axel Thue studied under Lie . In 1909 he produced an important paper on algebraic numbers showing that, for example, y = 1 cannot be satisfied by infinitely many pairs of integers. His work was extended by Siegel in 1920 and again by Roth in 1958. Landau , in 1922, described Thue's work as the most important discovery in elementary number theory that I know Thue's Theorem states that:- References (5 books/articles) References elsewhere in this archive: A poster of this mathematician is available Previous (Chronologically) Next Biographies Index

8. Poster Of Thue
   Axel Thue. died 77 years ago. 7th March 1922. Thue studied Diophantineequations, showing that, for example, y 2x = 1 cannot be satisfied  
   http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/307.htm

9. Biography-center - Letter T
   hu/~arthp/bio/t/theophan/biograph.html. Theorell, axel Hugo. www.nobel.se/medicine/laureates/1955/ theorellbio doctor.cfm/1699.html. thue, axel. www-history.mcs.st-and.ac  
   http://www.biography-center.com/t.html
   
   Extractions: random biography ! Any language Arabic Bulgarian Catalan Chinese (Simplified) Chinese (Traditional) Croatian Czech Danish Dutch English Estonian Finnish French German Greek Hebrew Hungarian Icelandic Indonesian Italian Japanese Korean Latvian Lithuanian Norwegian Polish Portuguese Romanian Russian Serbian Slovak Slovenian Spanish Swedish Turkish 361 biographies Tabern, Donalee L.

10. Thue-Morse L-system
    As our next example of an Lsystem, we introduce the thue-Morse system properties and is known as the thue-Morse sequence. axel thue came up with it in 1912  
    http://www.math.okstate.edu/mathdept/dynamics/lecnotes/node16.html
    
    Extractions: Next: Paperfolding and the Dragon Up: L-systems Previous: Types of L-systems As our next example of an L -system, we introduce the Thue-Morse system: The sequence of generations starts as follows: a ab abba abbabaab abbabaabbaababba Table 4: Thue-Morse Generations The number of organisms clearly doubles each generation, so that . The first question we might ask is what is the global process that emerges, if any. To answer this question, we first observe that generation does appear at the beginning of . If we look at what follows, we eventually conclude that it resembles , except that each a has been replaced by a b and each b has been replaced by an a . For any word w in , we define R w ) to be the mirror image word where we replace a by b and b by a . Then the global process is As a challenge, we ask the reader to supply a proof. (It's very similar to what one writes down for the Fibonacci process; there is one extra key point.) Since is the beginning of , this L -system produces in the limit an infinite sequence of a 's and b 's that begins: This sequence has many interesting properties and is known as the Thue-Morse sequence . Axel Thue came up with it in 1912 [ ] in his study of formal languages (not the term he used then). Marston Morse rediscovered the same sequence in 1917 [

11. Thue
    Biography of axel thue (18631922) axel thue. Born 19 Feb 1863 in Tönsberg, Norway axel thue was the son of Niels thue and Nicoline Cathinka Eger  
    http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Thue.html
    
    Extractions: Axel Thue was the son of Niels Thue and Nicoline Cathinka Eger. He studied at Voss's school in Oslo, where he showed a great interest in physics, completing his studies there in 1883. He then enrolled at the University of Oslo graduating in 1889. He went to Leipzig in 1890 and spent a year studying under Lie . However, [1]:- ... his works do not reveal Lie 's influence, probably because of Thue's inability to follow anyone else's line of thought. He also spent a while in Berlin where he attended lectures by Helmholtz Fuchs and Kronecker . Back in Olso, Thue held a scholarship in mathematics from 1891 to 1894. On 6 July 1894 he married Lucie Collett Lund who was ten years younger than Thue. Then Thue was appointed to Trondheim Technical College where he worked from 1894 until 1903. He was appointed as professor of applied mathematics at Oslo University in 1903. He held this post until his death in 1922. In 1909 he produced an important paper, published in

12. Axel Thue
    name university year home submit about help axel thue. Doctorate fromunknown university in unknown year Adviser unknown Students  
    http://sigact.acm.org/cgi-bin/genealogy.cgi?file=database-T.html&from=Thue,Axel

13. Trees And Term Rewriting In 1910: On A Paper By Axel Thue (ResearchIndex)
    Many of axel thue s ideas have been inuential in theoretical computer science. In particular, thue systems, semi thue systems and his work on the combinatorics of words are well known. Here we 1  
    http://citeseer.nj.nec.com/385913.html
    
    Extractions: Abstract: Many of Axel Thue's ideas have been influential in theoretical computer science. In particular, Thue systems, semi-Thue systems and his work on the combinatorics of words are well-known. Here we consider his 1910 paper which contains many notions and ideas about trees, term rewriting and word problems which are surprisingly modern and have later come to play important roles in mathematics, logic, and computer science. (Update)

14. Biografia De Thue, Axel
    Translate this page thue, axel. (Tonsberg, 1863-Oslo, 1922) Matemático noruego. Se dedicópreferentemente a la investigación abstracta y especulativa  
    http://www.biografiasyvidas.com/biografia/t/thue.htm
    
    Extractions: Enlaces Thue, Axel (Tonsberg, 1863-Oslo, 1922) Matemático noruego. Se dedicó preferentemente a la investigación abstracta y especulativa y, en particular, a la teoría de números. Demostró que la ecuación P( x y m , donde P es un polinomio homogéneo de dos variables y de grado mayor que 2, únicamente tiene un número finito de soluciones enteras. Inicio Buscador Recomendar sitio

15. Axel Thue's Work On Repetitions In Words - Berstel (ResearchIndex)
    The purpose of this survey is to present, in contemporary terminology, the fundamental contributions of axel thue to the study of combinatorial properties of sequences of symbols, insofar as  
    http://citeseer.nj.nec.com/berstel92axel.html

16. Índice Alfabético - T
    Thorn, Gaston Thorndike, Edward Lee Thornhill, sir James Thornthwaite, Charles WarrenThorpe, Jim Thorvaldsen, Bertel Thovez, Enrico thue, axel Thuille, Ludwig  
    http://www.biografiasyvidas.com/biografia/t/index0007.htm

17. Peter's Personal Rants. Today's Special:A Rant Concerning The Number 3...
    For totally useless reasons, I am interested in the number 3. Help me explore! Nevertheless, the Norwegian mathematician axel thue proved almost a century ago that unbounded thue, axel. 1912 .  
    http://www.zzrose.com/pmrrant1.html
    
    Extractions: Starting thoughts... This rant has to do with the number 3. Let me begin by telling a story so you can see where my interest in the number 3 comes from. When I was a physics undergraduate student, I used to watch and drool over the studies of a friend of mine who was in the Master's program. I learned to really appreciate my studies by seeing how he was applying the basics of what I was learning to solving really neat problems. One Friday I wandered into the lab where three of them were grinding through the solution of some complex electromagnetic equations. The solution was so complex that they had divided the work up among themselves and had been busy filling page after page of large computer printout paper abscounded from the computer center (this was back in 1970, mind you...). Well it was a sight for a young impressionable lad such as myself to watch. I sat there for hours just watching them grind through their solutions. I was impressed. But, soon I heard the call of the local pub and wandered off to play. Late Sunday afternoon, I went back to see how they were doing. Much to my surprise, they were all jumping up and down and yelling and screaming. Crumpled computer paper was

18. Axel Thue S Work On Repetitions In Words - Berstel (ResearchIndex)
    The purpose of this survey is to present, in contemporary terminology, the fundamentalcontributions of axel thue to the study of combinatorial properties of  
    http://citeseer.ist.psu.edu/berstel92axel.html

19. Axel Lukassen - ResearchIndex Document Query
    Matlab www.ele.kth.se/~axel/presentations/2001/eurotrainingsoc.pdf Trees and TermRewriting in 1910 On a Paper by axel thue - Steinby, Thomas (Correct) Trees  
    http://citeseer.ist.psu.edu/cis?q=Axel Lukassen

20. The Mathematics Genealogy Project - Axel Thue
    axel thue Biography Ph.D. University of Christiania 1889. According to ourcurrent online database, axel thue has 1 students and 202 descendants.  
    http://www.genealogy.ams.org/html/id.phtml?id=18236

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