• 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 (5,020 words) - 23:05, 7 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
  • superposition of continuous single-variable functions. The works of Vladimir Arnold and Andrey Kolmogorov established that if f is a multivariate continuous...
    23 KB (3,568 words) - 05:55, 28 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
  • Arnold's Problems is a book edited by Vladimir Arnold containing 861 mathematical problems, from many different areas of mathematics. The book was based...
    2 KB (273 words) - 17:06, 1 October 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 (1,568 words) - 16:25, 12 May 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
  • 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...
    10 KB (1,070 words) - 06:10, 2 October 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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  • 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...
    16 KB (1,768 words) - 23:24, 7 October 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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  • 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) - 16:14, 27 September 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) - 12:55, 21 September 2024
  • Thumbnail for MSU Faculty of Mechanics and Mathematics
    lasts 5 years (6 years from 2011). Pavel Alexandrov - mathematician Vladimir Arnold - mathematician Grigory Barenblatt - mathematician Felix Berezin -...
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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...
    7 KB (1,131 words) - 09:00, 3 September 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 Independent University of Moscow
    founded in 1991 by a group of Russian mathematicians that included Vladimir Arnold (chairman) and Sergei Novikov. The IUM consists of the departments...
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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...
    201 KB (22,942 words) - 16:45, 5 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...
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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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  • 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...
    242 KB (20,761 words) - 17:41, 2 October 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
  • Thumbnail for Earth's orbit
    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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  • "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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  • common way of looking at it in physics. A celebrated conjecture of Vladimir Arnold relates the minimum number of fixed points for a Hamiltonian symplectomorphism...
    9 KB (1,104 words) - 17:24, 15 August 2024
  • 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
  • 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...
    48 KB (1,747 words) - 23:22, 1 October 2024
  • their statistical dispersion (by 29%) during the pre-crisis years. Vladimir Arnold in his book Catastrophe Theory describes "The Principle of Fragility...
    11 KB (1,404 words) - 08:20, 13 March 2024