• Thumbnail for Yuri Matiyasevich
    Yuri Vladimirovich Matiyasevich, (Russian: Ю́рий Влади́мирович Матиясе́вич; born 2 March 1947 in Leningrad) is a Russian mathematician and computer scientist...
    12 KB (1,054 words) - 13:31, 27 October 2024
  • n for which f(n, x1, ..., xk) = 0 has a solution in x1, ..., xk. Yuri Matiyasevich utilized a method involving Fibonacci numbers, which grow exponentially...
    12 KB (1,475 words) - 01:09, 29 June 2024
  • combined work of Martin Davis, Yuri Matiyasevich, Hilary Putnam and Julia Robinson that spans 21 years, with Matiyasevich completing the theorem in 1970...
    24 KB (3,132 words) - 17:26, 12 October 2024
  • hypothesis cannot be proven from ZFC. In 1970, Russian mathematician Yuri Matiyasevich showed that Hilbert's Tenth Problem, posed in 1900 as a challenge...
    14 KB (1,919 words) - 10:12, 12 October 2024
  • 1967). The last five names are listed explicitly in that order by Yuri Matiyasevich. He follows up with: "Register machines [some authors use "register...
    54 KB (5,282 words) - 23:20, 2 October 2024
  • Thumbnail for Fibonacci sequence
    1000, 1010, 1110. There is an equivalent statement about subsets. Yuri Matiyasevich was able to show that the Fibonacci numbers can be defined by a Diophantine...
    86 KB (13,054 words) - 16:44, 25 November 2024
  • А.Стеклова (in Russian). 20: 104–114., translated into English as Matiyasevich, Yuri (1973). "Real-time recognition of the inclusion relation". Journal...
    33 KB (4,068 words) - 22:30, 20 September 2024
  • a high schooler, he solved Hilbert's tenth problem, shortly after Yuri Matiyasevich had solved it. He received a mathematics degree from Kyiv State University...
    7 KB (715 words) - 17:24, 25 October 2024
  • combined work of Martin Davis, Yuri Matiyasevich, Hilary Putnam and Julia Robinson which spans 21 years, with Yuri Matiyasevich completing the theorem in 1970...
    64 KB (7,543 words) - 11:25, 25 September 2024
  • Thumbnail for Discrete mathematics
    equation with integer coefficients has an integer solution. In 1970, Yuri Matiyasevich proved that this could not be done. The need to break German codes...
    26 KB (2,768 words) - 10:43, 21 September 2024
  • Thumbnail for Diophantine equation
    Diophantine equations as the tenth of his fundamental problems. In 1970, Yuri Matiyasevich solved it negatively, building on work of Julia Robinson, Martin Davis...
    33 KB (4,811 words) - 17:35, 6 November 2024
  • Thumbnail for Hilbert's problems
    problem, and the negative solution of the tenth problem in 1970 by Yuri Matiyasevich (completing work by Julia Robinson, Hilary Putnam, and Martin Davis)...
    41 KB (3,697 words) - 21:17, 20 November 2024
  • The non-existence of such an algorithm, established by the work of Yuri Matiyasevich, Julia Robinson, Martin Davis, and Hilary Putnam, with the final piece...
    19 KB (2,636 words) - 09:57, 1 October 2024
  • straightforward or intuitive as the first definitions, were found by Yuri Matiyasevich as part of the negative solution to Hilbert's Tenth Problem. Diophantine...
    9 KB (1,318 words) - 12:54, 26 October 2024
  • Thumbnail for Julia Robinson
    would lead to collaborations with Martin Davis, Hilary Putnam, and Yuri Matiyasevich. In 1950, Robinson first met Martin Davis, then an instructor at the...
    20 KB (2,167 words) - 08:03, 25 November 2024
  • Putnam. The algorithmic unsolvability of the problem was proved by Yuri Matiyasevich in 1970. Proof theory is the study of formal proofs in various logical...
    68 KB (8,330 words) - 18:57, 15 November 2024
  • Mathematical Olympiad became outstanding mathematicians and physicists. Yuri Matiyasevich who solved the 10th Hilbert problem in 1970 was the absolute winner...
    10 KB (1,432 words) - 22:24, 23 November 2024
  • introduces the concept of stable and superstable theories. 1970 - Yuri Matiyasevich proves that the existence of solutions to Diophantine equations is...
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  • identity element of the group. In 1970, Yuri Matiyasevich proved (using results of Julia Robinson) Matiyasevich's theorem, which implies that Hilbert's...
    54 KB (6,419 words) - 10:46, 16 July 2024
  • author of Markov's principle and Markov's rule in logics Yuri Matiyasevich, author of Matiyasevich's theorem in set theory, provided negative solution for...
    94 KB (9,592 words) - 20:09, 24 November 2024
  • Thumbnail for St. Petersburg Department of Steklov Mathematical Institute of the Russian Academy of Sciences
    Leonid Kantorovich Vladimir Korepin Olga Ladyzhenskaya Yuri Linnik Yuri Matiyasevich Grigori Perelman worked at this institution when he proved the Poincaré...
    3 KB (240 words) - 09:20, 18 November 2024
  • (philosopher) Yuga Yumo Mikyo Dorje Yunmen Wenyan Yuquan Shenxiu Yuri Matiyasevich Yusuf Balasaghuni Yves Brunsvick Yves Simon (philosopher) Zabalaza...
    82 KB (8,194 words) - 11:16, 9 November 2024
  • take as input a program and determine whether it will halt. In 1970, Yuri Matiyasevich proved that the Diophantine problem (closely related to Hilbert's...
    10 KB (1,251 words) - 05:46, 23 October 2024
  • Robert C. Martin (Uncle Bob) – software craftsmanship John Mashey Yuri Matiyasevich – solving Hilbert's tenth problem Yukihiro Matsumoto – Ruby (programming...
    54 KB (5,156 words) - 15:09, 20 November 2024
  • Thumbnail for List of Russian mathematicians
    author of Markov's principle and Markov's rule in logics Yuri Matiyasevich, author of Matiyasevich's theorem in set theory, provided a negative solution for...
    17 KB (1,716 words) - 00:48, 19 October 2024
  • Martin-Löf (Sweden, born 1942) Pavel Materna (Czech Republic, born 1930) Yuri Matiyasevich (Russia/Soviet Union, born 1947) C. A. Meredith (Ireland, 1904–1976)...
    16 KB (1,908 words) - 17:23, 22 September 2024
  • Thumbnail for List of people by Erdős number
    Masser James Massey William A. Massey Claire Mathieu Yossi Matias Yuri Matiyasevich Jiří Matoušek Barry Mazur Peter Mazur Stanisław Mazur Victor Mazurov...
    60 KB (5,797 words) - 08:03, 21 November 2024
  • Thumbnail for List of Russian people
    Markov processes, Markov random field, Markov algorithm Yuri Matiyasevich, author of Matiyasevich's theorem in set theory, provided negative solution for...
    204 KB (22,846 words) - 21:48, 3 November 2024
  • Thumbnail for Saint Petersburg Lyceum 239
    Freindlich (c. 1942 – 1953) – major Russian movie and theater actress Yuri Matiyasevich (1962–1963) – mathematician who solved Hilbert's tenth problem Andrei...
    8 KB (583 words) - 11:53, 3 November 2024
  • Poincaré conjecture (one of the seven Millennium Prize Problems), and Yuri Matiyasevich gave a negative solution of Hilbert's tenth problem. G denotes an...
    33 KB (421 words) - 01:54, 22 November 2024