Axel Thue
In today's world, Axel Thue has become a topic of constant debate and reflection. Its relevance covers different areas of society, from politics to culture and technology. Over time, Axel Thue has demonstrated its influence and its ability to generate significant changes in various areas. Opinions on this matter are varied and often polarized, which demonstrates the importance of addressing this issue objectively and with a multidisciplinary approach. In this article, we will explore the different facets of Axel Thue and its impact today, analyzing its evolution over time and its projection into the future.
Axel Thue | |
|---|---|
 Axel Thue (1863-1922) | |
| Born | 19 February 1863 |
| Died | 7 March 1922 (aged 59) |
| Alma mater | University of Kristiania |
| Known for | Thue equation Thue problem Thue's lemma Thue's theorem Thue–Morse sequence Thue–Siegel–Roth theorem Prouhet–Thue–Morse constant |
| Awards | Fridtjof Nansen Prize (1913) |
| Scientific career | |
| Fields | Mathematician |
| Institutions | University of Kristiania Trondheim Technical College |
| Thesis | (1889) |
| Doctoral advisor | Elling Holst |
| Doctoral students | Thoralf Skolem |
Axel Thue (Norwegian: [tʉː]; 19 February 1863 – 7 March 1922) was a Norwegian mathematician, known for his original work in diophantine approximation and combinatorics.
Work
Thue published his first important paper in 1909.[1]
He stated in 1914 the so-called word problem for semigroups or Thue problem, closely related to the halting problem.[2]
His only known PhD student was Thoralf Skolem.
The esoteric programming language Thue is named after him.
Publications
- Thue, A. (1909), "Über Annäherungswerte algebraischer Zahlen", Journal für die reine und angewandte Mathematik, 1909 (135): 284–305, doi:10.1515/crll.1909.135.284, ISSN 0075-4102, S2CID 125903243
- Thue, A. (1977) , "Über die gegenseitige Lage gleicher Teile gewisser Zeichenreihen", Selected Math. Papers of Axel Thue, Universiteitsforlaget: 67
See also
- Thue equation – Diophantine equation involving an irreducible bivariate form of deg > 2 over the rationals
- Thue number
- Thue's lemma – Representation of modular integers by "small" fractions
- Semi-Thue system – String rewriting system
- Thue–Morse sequence – Infinite binary sequence generated by repeated complementation and concatenation
- Roth's theorem – Algebraic numbers are not near many rationals
- Plastic ratio – Number, approximately 1.3247
- Word problem for groups – Problem in finite group theory
References
- ^ O'Connor, John J.; Robertson, Edmund F., "Axel Thue", MacTutor History of Mathematics Archive, University of St Andrews
- ^ Ronald V. Book and Friedrich Otto, String-rewriting Systems, Springer, 1993, ISBN 0-387-97965-4, p. 36.
External links
- Axel Thue private archive exists at NTNU University Library Dorabiblioteket
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