• In real algebraic geometry, a Nash function on an open semialgebraic subset U ⊂ Rn is an analytic function f: U → R satisfying a nontrivial polynomial...
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  • Thumbnail for John Forbes Nash Jr.
    John Forbes Nash Jr. (June 13, 1928 – May 23, 2015), known and published as John Nash, was an American mathematician who made fundamental contributions...
    69 KB (7,388 words) - 03:59, 21 June 2025
  • In game theory, the Nash equilibrium is the most commonly used solution concept for non-cooperative games. A Nash equilibrium is a situation where no...
    60 KB (8,788 words) - 08:31, 31 May 2025
  • the Nash–Moser theorem, discovered by mathematician John Forbes Nash and named for him and Jürgen Moser, is a generalization of the inverse function theorem...
    22 KB (3,790 words) - 21:08, 5 June 2025
  • Nash inverse function argument can be replaced by Cauchy estimates. Nash's proof of the Ck- case was later extrapolated into the h-principle and Nash–Moser...
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  • Thumbnail for Crosby, Stills, Nash & Young
    Crosby, Stills & Nash (CSN) was a folk rock supergroup comprising the American singer-songwriters David Crosby and Stephen Stills and the English-American...
    95 KB (9,615 words) - 10:26, 4 June 2025
  • Theory and Decision. 79: 667–688. doi:10.1007/s11238-015-9483-2. hdl:10871/16743. GameTheory.net Cooperative Solution with Nash Function by Elmer G. Wiens...
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  • the existence of mixed strategy Nash equilibria. Reaction correspondences are not "reaction functions" since functions must only have one value per argument...
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  • even-faster-growing SSCG function, which dwarfs TREE ( 3 ) {\displaystyle {\text{TREE}}(3)} . The version given here is that proven by Nash-Williams; Kruskal's...
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  • Bernstein–Kushnirenko theorem, or generalized it to a large class of functions, such as Nash functions. Suppose that X and Y are two plane projective curves defined...
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  • Crawdaddy in 1974 "I was not at my best as a functioning person, ... completely unable to deal with it all." Nash stated to Music Radar, "the mood was different...
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  • developed by Shizuo Kakutani in 1941, and was used by John Nash in his description of Nash equilibria. It has subsequently found widespread application...
    25 KB (3,237 words) - 13:30, 28 September 2024
  • are mapped into one function, and the set of pure Nash equilibria can be found by locating the local optima of the potential function. Convergence and finite-time...
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  • Thumbnail for List of Nobel Memorial Prize laureates in Economic Sciences
    Princeton University Nash equilibrium, Nash embedding theorem, Nash functions, Nash–Moser theorem Reinhard Selten (1930–2016) Germany Goethe University...
    72 KB (2,031 words) - 20:09, 21 June 2025
  • Examples of PPAD-complete problems include finding Nash equilibria, computing fixed points in Brouwer functions, and finding Arrow-Debreu equilibria in markets...
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  • Thumbnail for Alberto Tognoli
    2005. He is known for his research on Nash functions and Nash manifolds (named after John Nash). He proved Nash's conjecture that smooth compact manifolds...
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  • cooperate in implementing the fair solution. Such solutions, particularly the Nash solution, were used to solve concrete economic problems, such as management–labor...
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  • Thumbnail for Metabolic dysfunction–associated steatotic liver disease
    liver function blood tests are not sensitive enough to detect MASLD, and biopsy is the only procedure that can reliably differentiate NAFL from NASH. There...
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  • says a function is holomorphic if the integrations of it over arbitrary closed loops are zero. Morse Morse function. Nash 1.  Nash function. 2.  Nash–Moser...
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  • of formal training. According to Latino, Nash "couldn't read, couldn't write...Just wasn't ready to function in society...with an education and social...
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  • experienced by i. Every CG has a Nash equilibrium in pure strategies. This can be shown by constructing a potential function that assigns a value to each...
    52 KB (7,315 words) - 23:54, 23 June 2025
  • said to implement a social-choice-function Soc if, for every combination of individual preferences, there is a Nash equilibrium in Game(Mech) in which...
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  • function problems to total relations yielding the class TFNP as a subclass of FNP. This class contains problems such as the computation of pure Nash equilibria...
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  • Thumbnail for Riemann hypothesis
    Riemann hypothesis (category Zeta and L-functions)
    Unsolved problem in mathematics Do all non-trivial zeroes of the Riemann zeta function have a real part of one half? More unsolved problems in mathematics In...
    127 KB (16,781 words) - 22:34, 19 June 2025
  • polyhedra are examples of semialgebraic sets. Real algebraic functions and Nash functions are examples of semialgebraic mappings. Piecewise polynomial...
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  • Thumbnail for Integral
    Integral (redirect from Integrable function)
    also refer to the concept of an antiderivative, a function whose derivative is the given function; in this case, they are also called indefinite integrals...
    69 KB (9,288 words) - 18:38, 23 May 2025
  • Thumbnail for Mind
    2013, pp. 739–740 Bernstein & Nash 2006, pp. 257–258, 290–291 Bernstein & Nash 2006, pp. 265–266, 291 Bernstein & Nash 2006, p. 269 Rescorla 2023, Lead...
    179 KB (17,706 words) - 21:58, 9 June 2025
  • Thumbnail for Fatty liver disease
    resolve liver function. Bariatric surgery, while not recommended in 2017 as a treatment for FLD alone, has been shown to revert FLD, NAFLD, NASH and advanced...
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  • reaction function with no incentive to deviate, as they have the best response based on the other firms output. Within the game, firms reach the Nash equilibrium...
    138 KB (15,387 words) - 10:44, 6 June 2025
  • Thumbnail for Newton's method
    ISBN 0-444-50617-9. Hamilton, Richard S. (1982). "The inverse function theorem of Nash and Moser". Bulletin of the American Mathematical Society. New...
    70 KB (8,960 words) - 23:11, 23 June 2025