• 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...
    47 KB (4,716 words) - 23:21, 24 August 2024
  • The Arnold conjecture, named after mathematician Vladimir Arnold, is a mathematical conjecture in the field of symplectic geometry, a branch of differential...
    7 KB (1,042 words) - 01:13, 20 August 2024
  • superposition of continuous single-variable functions. The works of Vladimir Arnold and Andrey Kolmogorov established that if f is a multivariate continuous...
    11 KB (1,650 words) - 03:17, 31 August 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...
    9 KB (1,204 words) - 10:18, 17 August 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 (2,790 words) - 02:05, 26 August 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...
    241 KB (20,721 words) - 07:49, 28 August 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) - 16:25, 12 May 2024
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    Ruslan Khasbulatov; and mathematicians and physicists Vladimir Arnold, Boris Demidovich, Vladimir Drinfeld, Vitaly Ginzburg, Andrey Kolmogorov, Grigory...
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  • functions was resolved affirmatively in 1957 by Vladimir Arnold when he proved the Kolmogorov–Arnold representation theorem, but the variant for algebraic...
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  • 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...
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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...
    10 KB (1,225 words) - 09:17, 9 January 2024
  • after Vladimir Arnold, a Russian and Soviet mathematician. Arnold conjecture Arnold diffusion Arnold invariants Arnold tongue Arnold web Arnold's cat map...
    1 KB (119 words) - 13:55, 8 October 2023
  • 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...
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  • 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...
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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...
    200 KB (22,718 words) - 17:58, 26 August 2024
  • 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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  • 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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    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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  • "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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  • player Victor Arnold (disambiguation), several people Villiers Arnold (1876–1921) actor and singer in Gilbert and Sullivan operas Vladimir Arnold (1937–2010)...
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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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  • Prize for its prestige in the geosciences. The inaugural laureates, Vladimir Arnold and Louis Nirenberg, were cited by the Academy for their work in the...
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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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  • 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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  • 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) - 16:09, 18 May 2024
  • Thumbnail for Cusp (singularity)
    and implicitly-defined curves have been generalized by René Thom and Vladimir Arnold to curves defined by differentiable functions: a curve has a cusp at...
    10 KB (1,501 words) - 10:27, 14 November 2023
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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...
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  • from a topological proof of Abel's impossibility theorem found by Vladimir Arnold and concerns the applications of some topological concepts to some...
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