• Thumbnail for Øystein Ore
    Øystein Ore (7 October 1899 – 13 August 1968) was a Norwegian mathematician known for his work in ring theory, Galois connections, graph theory, and the...
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  • Look up Øystein in Wiktionary, the free dictionary. Øystein is a Norwegian given name of Old Norse origins. One of its variants is Östen which is mostly...
    6 KB (749 words) - 20:35, 13 June 2023
  • differential and/or recurrence operators. The concept is named after Øystein Ore. Let K {\displaystyle K} be a (commutative) field and A = K [ x 1 , …...
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  • Thumbnail for Ore's theorem
    Ore's theorem is a result in graph theory proved in 1960 by Norwegian mathematician Øystein Ore. It gives a sufficient condition for a graph to be Hamiltonian...
    9 KB (1,040 words) - 02:47, 5 July 2021
  • reform Henrik Øre (born 1979), former Danish cricketer Øystein Ore, Norwegian mathematician Rebecca Ore, American science fiction writer Ore Oduba, (born...
    2 KB (242 words) - 02:06, 18 July 2024
  • in the area of algebra known as ring theory, the Ore condition is a condition introduced by Øystein Ore, in connection with the question of extending beyond...
    9 KB (1,287 words) - 00:01, 28 January 2022
  • (sequence A001599 in the OEIS). Harmonic divisor numbers were introduced by Øystein Ore, who showed that every perfect number is a harmonic divisor number and...
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  • Zippel's result. The finite field version of this bound was proved by Øystein Ore in 1922. Theorem 1 (Schwartz, Zippel). Let P ∈ R [ x 1 , x 2 , … , x...
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  • Thumbnail for Thoralf Skolem
    and only occasionally on mathematical logic. Skolem's Ph.D. student Øystein Ore went on to a career in the USA. Skolem served as president of the Norwegian...
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  • Brandt groupoid. The term was then appropriated by B. A. Hausmann and Øystein Ore (1937) in the sense (of a set with a binary operation) used in this article...
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  • an Ore extension, named after Øystein Ore, is a special type of a ring extension whose properties are relatively well understood. Elements of a Ore extension...
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  • Thumbnail for Carmichael number
    American mathematician Robert Carmichael by Nicolaas Beeger, in 1950. Øystein Ore had referred to them in 1948 as numbers with the "Fermat property", or...
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  • Thumbnail for Divisor
    Theory of Numbers (5th ed.). John Wiley & Sons. ISBN 0-471-62546-9. Øystein Ore, Number Theory and its History, McGraw–Hill, NY, 1944 (and Dover reprints)...
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  • Guldberg (1838–1913) Alf Victor Guldberg (1866–1936) Sophus Lie (1842–1899) Øystein Ore (1899–1968) Thoralf Skolem (1887–1963) Carl Størmer (1874–1957) Ludwig...
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  • Thumbnail for As I was going to St Ives
    MATHEMATICAL PAPYRUS". A history of the world. BBC. Retrieved 26 February 2012. Øystein Ore, "Number Theory and its History", McGraw–Hill Book Co, 1944...
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  • Thumbnail for Grace Hopper
    Hopper earned a Ph.D. in mathematics from Yale under the direction of Øystein Ore. Her dissertation, "New Types of Irreducibility Criteria", was published...
    72 KB (6,911 words) - 02:40, 13 October 2024
  • between u and v F. Harary, Graph Theory, Addison-Wesley, 1969, p.199. Øystein Ore, Theory of graphs [3rd ed., 1967], Colloquium Publications, American...
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  • Thumbnail for Lattice of subgroups
    original group, an idea that goes back to the work of Øystein Ore (1937, 1938). For instance, as Ore proved, a group is locally cyclic if and only if its...
    10 KB (1,116 words) - 22:13, 14 September 2024
  • Thumbnail for Marshall Hall (mathematician)
    returned to Yale to take his Ph.D. in 1936 under the supervision of Øystein Ore. He worked in Naval Intelligence during World War II, including six months...
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  • Thumbnail for Hamiltonian path
    which generalizes earlier results by G. A. Dirac (1952) and Øystein Ore. Both Dirac's and Ore's theorems can also be derived from Pósa's theorem (1962)....
    18 KB (2,030 words) - 19:28, 20 September 2024
  • (for function notation) 1936 (to denote images of specific elements) Øystein Ore 1940 (in the present form of f: X → Y) Witold Hurewicz ∅ empty set sign...
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  • elements that are products of commutators but not themselves commutators. Øystein Ore proved in 1951 that the alternating groups on five or more elements contained...
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  • Thumbnail for Norway
    Thoralf Skolem made revolutionary contributions to mathematical logic. Øystein Ore and Ludwig Sylow made important contributions in group theory. Atle Selberg...
    227 KB (20,865 words) - 18:20, 14 October 2024
  • J. Harvey Rogers, Malcolm C. Rorty, Carl Snyder, Walter A. Shewhart, Øystein Ore, Ingvar Wedervang and Norbert Wiener. The Econometric Society sponsors...
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  • subject was minimal until the early 1930s, when Garrett Birkhoff and Øystein Ore began publishing on universal algebras. Developments in metamathematics...
    24 KB (2,953 words) - 06:54, 31 August 2024
  • in graphs, such as Hall's marriage theorem. This was first studied by Øystein Ore.: 17  A related property is surplus. Let G = (V, E) be a graph, and let...
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  • scheme is defined in terms of Azumaya algebras. The Ore condition is a condition introduced by Øystein Ore, in connection with the question of extending beyond...
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  • Thumbnail for Saunders Mac Lane
    Beams, Ernest William Brown, Ernest Lawrence, F. S. C. Northrop, and Øystein Ore, among others. He graduated from Yale with a B.A. in 1930. During this...
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  • Molina Frank Morley Francis Dominic Murnaghan Forrest Hamilton Murray Øystein Ore Charles Algernon Parsons John Patterson Giuseppe Peano Mihailo Petrovitch...
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  • Here: p.413 bottom Richard Dedekind (1932), Robert Fricke; Emmy Noether; Øystein Ore (eds.), Gesammelte mathematische Werke, vol. 3, Braunschweig: Friedr...
    20 KB (2,374 words) - 04:26, 13 October 2024