• Thumbnail for Arnaud Denjoy
    Arnaud Denjoy (French: [dɑ̃ˈʒwa]; 5 January 1884 – 21 January 1974) was a French mathematician. Denjoy was born in Auch, Gers. His contributions include...
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  • The Denjoy integral in mathematics can refer to two closely related integrals connected to the work of Arnaud Denjoy: the narrow Denjoy integral, or just...
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  • Henstock–Kurzweil integrable. This integral was first defined by Arnaud Denjoy (1912). Denjoy was interested in a definition that would allow one to integrate...
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  • mathematics, Denjoy's theorem may refer to several theorems proved by Arnaud Denjoy, including Denjoy–Carleman theorem Denjoy–Koksma inequality Denjoy–Luzin...
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  • French racing cyclist Arnaud Denjoy (1884–1974), French mathematician Arnaud Desjardins (1925–2011), French author and producer Arnaud Desplechin (born 1960)...
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  • result was proved independently in 1926 by the French mathematician Arnaud Denjoy and the Dutch mathematician Julius Wolff. Theorem. Let D be the open...
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  • In mathematics, the Denjoy–Koksma inequality, introduced by Herman (1979, p.73) as a combination of work of Arnaud Denjoy and the Koksma–Hlawka inequality...
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  • absolute value is less than or equal to 2ρ. It was first conjectured by Arnaud Denjoy in 1907. Torsten Carleman showed that the number of asymptotic values...
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  • Thumbnail for Minkowski's question-mark function
    the quadratics to the binary expansions of the rationals, given by Arnaud Denjoy in 1938. It also maps rational numbers to dyadic rationals, as can be...
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  • It is named after Aleksandr Khinchin and Arnaud Denjoy, but is not to be confused with the (narrow) Denjoy integral. If g : I → R is a Lebesgue-integrable...
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  • Thumbnail for Integral
    Haar in 1933. The Henstock–Kurzweil integral, variously defined by Arnaud Denjoy, Oskar Perron, and (most elegantly, as the gauge integral) Jaroslav...
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  • absolutely everywhere. Denjoy, Arnaud (1912), "Sur l'absolue convergence des séries trigonométriques", C. R. Acad. Sci., 155: 135–136 "Denjoy-Luzin theorem",...
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  • Thumbnail for Gustave Choquet
    postgraduate work at the École Normale Supérieure Paris where his advisor was Arnaud Denjoy. He was Professor at the University of Paris (subsequently Paris VI)...
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  • Thumbnail for Denjoy–Riesz theorem
    (1968) credits the result to publications by Frigyes Riesz in 1906, and Arnaud Denjoy in 1910, both in Comptes rendus de l'Académie des sciences. As Moore...
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  • Quillen–Suslin theorem 1977 Alberto Calderón Denjoy's conjecture rectifiable curves A result claimed in 1909 by Arnaud Denjoy, proved by Calderón as a by-product...
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  • Thumbnail for Jordan curve theorem
    J. W. Alexander, Louis Antoine, Ludwig Bieberbach, Luitzen Brouwer, Arnaud Denjoy, Friedrich Hartogs, Béla Kerékjártó, Alfred Pringsheim, and Arthur Moritz...
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  • In mathematics, the Denjoy theorem gives a sufficient condition for a diffeomorphism of the circle to be topologically conjugate to a diffeomorphism of...
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  • Thumbnail for List of Occitans
    the American Mathematical Society since 2012. Arnaud Denjoy, mathematician, who first defined the Denjoy integral. Jérôme Rota, software developer, co-founder...
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  • Thumbnail for Lomonosov Gold Medal
    Ivan Matveevich Vinogradov: for outstanding studies in mathematics. Arnaud Denjoy (member of the Académie française): for outstanding achievements in...
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  • f and g have the same rotation numbers. It was used by Poincaré and Arnaud Denjoy for topological classification of homeomorphisms of the circle. There...
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  • Thumbnail for René-Louis Baire
    Peccor Lecture (1903-1904) Scientific career Fields Mathematics Institutions École Normale Supérieure University of Dijon Doctoral students Arnaud Denjoy...
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  • Jean Delsarte (1922), co-founder of Bourbaki Michel Demazure (1955) Arnaud Denjoy (1902) Jean Dieudonné (1924), co-founder of Bourbaki Jacques Dixmier...
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  • doctorate at the University of Paris in 1952, under the supervision of Arnaud Denjoy. He then lectured in Barcelona, Princeton, and Caracas, before settling...
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  • Thumbnail for Société mathématique de France
    1928: Alexandre Thybaut 1929: André Auric 1930: Émile Jouguet 1931: Arnaud Denjoy 1932: Gaston Julia 1933: Alfred-Marie Liénard 1934: Jean Chazy 1935:...
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  • Stone (vice: Émile Borel, Erich Kamke) 1955–1958: Heinz Hopf (vice: Arnaud Denjoy, W. V. D. Hodge) 1959–1962: Rolf Nevanlinna (vice: Pavel Alexandrov...
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  • introduced the term mathematical induction, making its idea rigorous. Arnaud Denjoy (1884–1974): French mathematician, noted for his contributions to harmonic...
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  • Xiaoping, Chinese head of state – Deng Xiaoping Theory Arnaud Denjoy, French mathematician – Denjoy integral Thomas Derrick (c. 1600), British hangman –...
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  • Costa Lobo Percy John Daniell Maurice d'Ocagne Théophile de Donder Arnaud Denjoy Jacques Deruyts Leonard Eugene Dickson Jules Drach L. Gustave du Pasquier...
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  • Thumbnail for January 1974
    Arnaud Denjoy, 90, French mathematician known for Denjoy's theorem on rotation number, and the Denjoy–Luzin theorem, Denjoy–Riesz theorem, Denjoy–Wolff...
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  • were Albert Châtelet, Georges Valiron, Joseph Kampé de Fériet, and Arnaud Denjoy. Charbonnier became internationally recognized as a ballistics expert...
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