• Thumbnail for Vladimir Arnold
    Vladimir Igorevich Arnold (or Arnol'd; Russian: Влади́мир И́горевич Арно́льд, IPA: [vlɐˈdʲimʲɪr ˈiɡərʲɪvʲɪtɕ ɐrˈnolʲt]; 12 June 1937 – 3 June 2010) was...
    51 KB (5,027 words) - 16:15, 20 October 2024
  • The Arnold conjecture, named after mathematician Vladimir Arnold, is a mathematical conjecture in the field of symplectic geometry, a branch of differential...
    8 KB (1,049 words) - 06:05, 30 September 2024
  • twist maps) and Vladimir Arnold in 1963 (for analytic Hamiltonian systems), and the general result is known as the KAM theorem. Arnold originally thought...
    10 KB (1,243 words) - 22:56, 27 September 2024
  • superposition of continuous single-variable functions. The works of Vladimir Arnold and Andrey Kolmogorov established that if f is a multivariate continuous...
    23 KB (3,619 words) - 06:38, 17 October 2024
  • Thumbnail for Arnold tongue
    In mathematics, particularly in dynamical systems, Arnold tongues (named after Vladimir Arnold) are a pictorial phenomenon that occur when visualizing...
    21 KB (3,177 words) - 02:28, 21 March 2024
  • Thumbnail for Andrey Kolmogorov
    Kolmogorov–Arnold–Moser theorem, first presented in 1954 at the International Congress of Mathematicians. In 1957, working jointly with his student Vladimir Arnold...
    31 KB (2,788 words) - 22:14, 23 September 2024
  • Thumbnail for Arnold's cat map
    In mathematics, Arnold's cat map is a chaotic map from the torus into itself, named after Vladimir Arnold, who demonstrated its effects in the 1960s using...
    11 KB (1,566 words) - 10:17, 24 October 2024
  • Thumbnail for Arnold Schwarzenegger
    Arnold Alois Schwarzenegger (/ˈʃwɔːrtsənɛɡər/ SHWORT-sə-neg-ər, Austrian German: [ˈarnɔlt ˈaːlɔʏs ˈʃvartsn̩ˌɛɡɐ] ; born July 30, 1947) is an Austrian and...
    244 KB (20,912 words) - 17:21, 10 November 2024
  • functions was resolved affirmatively in 1957 by Vladimir Arnold when he proved the Kolmogorov–Arnold representation theorem, but the variant for algebraic...
    5 KB (569 words) - 20:29, 7 February 2024
  • after Vladimir Arnold, a Russian and Soviet mathematician. Arnold conjecture Arnold diffusion Arnold invariants Arnold tongue Arnold web Arnold's cat map...
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  • small push will lift the bottom of the "U" away from the "underline". Vladimir Arnold defines the main goal of singularity theory as describing how objects...
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  • Thumbnail for Moscow State University
    Ruslan Khasbulatov; and mathematicians and physicists Vladimir Arnold, Boris Demidovich, Vladimir Drinfeld, Vitaly Ginzburg, Andrey Kolmogorov, Grigory...
    36 KB (2,475 words) - 11:12, 21 October 2024
  • Thumbnail for Gömböc
    existence of this class was conjectured by the Russian mathematician Vladimir Arnold in 1995 and proven in 2006 by the Hungarian scientists Gábor Domokos...
    16 KB (1,795 words) - 12:34, 29 October 2024
  • Thumbnail for Hilbert's problems
    notably Fields Medalist Steve Smale, who responded to a request by Vladimir Arnold to propose a list of 18 problems. At least in the mainstream media...
    41 KB (3,738 words) - 10:09, 31 October 2024
  • republished in 1999. Smale composed this list in reply to a request from Vladimir Arnold, then vice-president of the International Mathematical Union, who asked...
    16 KB (854 words) - 16:33, 22 September 2024
  • can be separated. The theorem is named after Joseph Liouville and Vladimir Arnold.: 270–272  The theorem was proven in its original form by Liouville...
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  • the Arnold's rouble problem referring to Vladimir Arnold and the folding of a Russian ruble bank note. It is the first problem listed by Arnold in his...
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  • Thumbnail for Infinitesimal
    cardinal and ordinal numbers, which is the largest ordered field. Vladimir Arnold wrote in 1990: Nowadays, when teaching analysis, it is not very popular...
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  • a fluid flow that can have chaotic trajectories. It is named after Vladimir Arnold, Eugenio Beltrami, and Stephen Childress. Ippolit S. Gromeka's (1881)...
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  • Thumbnail for Baby boomers
    school in mathematics education lived on, as the Soviet mathematician Vladimir Arnold recalled in a 1995 interview. Before World War II, the share of university-educated...
    202 KB (23,107 words) - 02:30, 8 November 2024
  • Thumbnail for Askold Khovanskii
    Steklov Mathematical Institute in Moscow under the supervision of Vladimir Arnold. In his Ph.D. thesis, he developed a topological version of Galois...
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  • "Lagrangian and Legendrian singularities"). His thesis advisor was Vladimir Arnold. In 2007 he won the MAIK Nauka award for best research publication...
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  • canonical form near critical points. It was introduced by Vladimir Arnold in 1975. Vladimir Arnold "Spectral sequence for reduction of functions to normal...
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    astronomers (such as Laplace, Lagrange, Gauss, Poincaré, Kolmogorov, Vladimir Arnold, and Jürgen Moser) have searched for evidence for the stability of...
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  • mathematics, Arnold diffusion is the phenomenon of instability of nearly-integrable Hamiltonian systems. The phenomenon is named after Vladimir Arnold who was...
    11 KB (1,577 words) - 14:41, 2 November 2024
  • Arnold's Problems is a book edited by Vladimir Arnold containing 861 mathematical problems, from many different areas of mathematics. The book was based...
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  • their statistical dispersion (by 29%) during the pre-crisis years. Vladimir Arnold in his book Catastrophe Theory describes "The Principle of Fragility...
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  • Thumbnail for Pure mathematics
    particularly from 1950 to 1983. Later this was criticised, for example by Vladimir Arnold, as too much Hilbert, not enough Poincaré. The point does not yet seem...
    15 KB (1,824 words) - 15:33, 16 October 2024
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    (1929–2009) Vyacheslav Tikhonov (1928–2009) Yegor Gaidar (1956–2009) 2010s Vladimir Arnold (1937–2010) Viktor Chernomyrdin (1938–2010) Lyudmila Gurchenko (1935–2011)...
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  • U(n) is the unitary group and O(n) the orthogonal group. Following Vladimir Arnold it is denoted by Λ(n). The Lagrangian Grassmannian is a submanifold...
    5 KB (713 words) - 23:31, 18 January 2023