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Axel Thue
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{{Short description|Norwegian mathematician (1863–1922)}} {{otheruses|Axel Thue (actor)}} {{Infobox scientist | name = Axel Thue | image = Axel Thue.jpg | image_size = 250px | caption = Axel Thue (1863-1922) | birth_date = {{birth date|1863|2|19|df=y}} | birth_place = [[Tønsberg]], [[Norway]] | nationality = [[Norway|Norwegian]] | death_date = {{death date and age|1922|3|7|1863|2|19|df=y}} | death_place = [[Oslo]], [[Norway]] | field = [[Mathematician]] | work_institution = [[Oslo University|University of Kristiania]]<br>[[Trondheim Technical College]] | alma_mater = [[Oslo University|University of Kristiania]] | thesis_title = <!--(or | thesis1_title = and | thesis2_title = )--> | thesis_url = <!--(or | thesis1_url = and | thesis2_url = )--> | thesis_year = 1889 | doctoral_advisor = [[Elling Holst]] | doctoral_students = [[Thoralf Skolem]] | known_for = [[Thue equation]]<br>[[Semi-Thue system|Thue problem]]<br>[[Thue's lemma]]<br>[[Kepler_conjecture#Related_problems|Thue's theorem]]<br>[[Thue–Morse sequence]]<br>[[Roth's theorem|Thue–Siegel–Roth theorem]]<br>{{no wrap|[[Prouhet–Thue–Morse constant]]}} | prizes = [[Fridtjof Nansen Prize for Outstanding Research|Fridtjof Nansen Prize]] (1913) | religion = }} '''Axel Thue''' ({{IPA|no|tʉː|lang}}; 19 February 1863 – 7 March 1922) was a [[Norway|Norwegian]] [[mathematician]], known for his original work in [[diophantine approximation]] and [[combinatorics]]. ==Work== Thue published his first important paper in 1909.<ref name=Bio>{{MacTutor Biography|id=Thue}}</ref> He stated in 1914 the so-called [[Semi-Thue_system#The_word_problem_for_semi-Thue_systems|word problem for semigroups]] or Thue problem, closely related to the [[halting problem]].<ref>[[Ronald V. Book]] and Friedrich Otto, ''String-rewriting Systems'', Springer, 1993, {{isbn|0-387-97965-4}}, p. 36.</ref> His only known PhD student was [[Thoralf Skolem]]. The esoteric programming language Thue is named after him. ==Publications== *{{Citation | last1=Thue | first1=A. | title=Über Annäherungswerte algebraischer Zahlen | url=http://resolver.sub.uni-goettingen.de/purl?PPN243919689_0135 | year=1909 | journal=[[Journal für die reine und angewandte Mathematik]] | issn=0075-4102 | volume=1909 | issue=135 | pages=284–305 | doi=10.1515/crll.1909.135.284| s2cid=125903243 | url-access=subscription }} *{{Citation | last1=Thue | first1=A. | title=Über die gegenseitige Lage gleicher Teile gewisser Zeichenreihen | url=https://books.google.com/books?id=I0KFXwAACAAJ | year=1977 |orig-year= 1912 | journal= Selected Math. Papers of Axel Thue, Universiteitsforlaget | pages=67 }} ==See also== *{{annotated link|Thue equation}} *{{annotated link|Thue number}} *{{annotated link|Thue's lemma}} *{{annotated link|Semi-Thue system}} *{{annotated link|Thue–Morse sequence}} *{{annotated link|Roth's theorem}} *{{annotated link|Plastic ratio}} *{{annotated link|Word problem for groups}} ==References== {{reflist}} ==External links== * [http://arkivportalen.no/side/arkiv/detaljer?arkivId=no-NTNU_arkiv000000001001 Axel Thue private archive] exists at NTNU University Library [https://www.ntnu.no/ub/bibliotek/dora Dorabiblioteket] {{Authority control}} {{DEFAULTSORT:Thue, Axel}} [[Category:1863 births]] [[Category:1922 deaths]] [[Category:20th-century Norwegian mathematicians]] [[Category:Number theorists]] [[Category:People from Tønsberg]] {{norway-scientist-stub}} {{Europe-mathematician-stub}}
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