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  2. Millennium Prize Problems - Wikipedia

    en.wikipedia.org/wiki/Millennium_Prize_Problems

    The Clay Mathematics Institute officially designated the title Millennium Problem for the seven unsolved mathematical problems, the Birch and Swinnerton-Dyer conjecture, Hodge conjecture, Navier–Stokes existence and smoothness, P versus NP problem, Riemann hypothesis, Yang–Mills existence and mass gap, and the Poincaré conjecture at the ...

  3. QM-AM-GM-HM inequalities - Wikipedia

    en.wikipedia.org/wiki/QM-AM-GM-HM_Inequalities

    There are three inequalities between means to prove. There are various methods to prove the inequalities, including mathematical induction, the Cauchy–Schwarz inequality, Lagrange multipliers, and Jensen's inequality. For several proofs that GM ≤ AM, see Inequality of arithmetic and geometric means.

  4. Robert R. Jensen - Wikipedia

    en.wikipedia.org/wiki/Robert_R._Jensen

    Robert Ronald Jensen (born 6 April 1949) is an American mathematician, specializing in nonlinear partial differential equations with applications to physics, engineering, game theory, and finance. [ 1 ]

  5. Jensen's inequality - Wikipedia

    en.wikipedia.org/wiki/Jensen's_inequality

    Jensen's inequality generalizes the statement that a secant line of a convex function lies above its graph. Visualizing convexity and Jensen's inequality In mathematics , Jensen's inequality , named after the Danish mathematician Johan Jensen , relates the value of a convex function of an integral to the integral of the convex function.

  6. Hilbert's eighth problem - Wikipedia

    en.wikipedia.org/wiki/Hilbert's_eighth_problem

    Hilbert's eighth problem is one of David Hilbert's list of open mathematical problems posed in 1900. It concerns number theory , and in particular the Riemann hypothesis , [ 1 ] although it is also concerned with the Goldbach conjecture .

  7. Ronald Jensen - Wikipedia

    en.wikipedia.org/wiki/Ronald_Jensen

    Jensen taught at Rockefeller University, 1969–71, and the University of California, Berkeley, 1971–73. The balance of his academic career was spent in Europe at the University of Bonn , the University of Oslo , the University of Freiburg , the University of Oxford , and the Humboldt-Universität zu Berlin , from which he retired in 2001.

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