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  2. Fair allocation of items and money - Wikipedia

    en.wikipedia.org/wiki/Fair_allocation_of_items...

    A special case of this setting is when dividing rooms in an apartment between tenants. It is characterized by three requirements: (a) the number of agents equals the number of items, (b) each agent must get exactly one item (room), (c) the total amount of money paid by the agents must equal a fixed constant, which represents the total apartment rent.

  3. List of unsolved problems in mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.

  4. Millennium Prize Problems - Wikipedia

    en.wikipedia.org/wiki/Millennium_Prize_Problems

    The Clay Institute has pledged a US $1 million prize for the first correct solution to each problem. 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 ...

  5. List of mathematical examples - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_examples

    This page will attempt to list examples in mathematics. To qualify for inclusion, an article should be about a mathematical object with a fair amount of concreteness. Usually a definition of an abstract concept, a theorem, or a proof would not be an "example" as the term should be understood here (an elegant proof of an isolated but particularly striking fact, as opposed to a proof of a ...

  6. A College Student Just Solved a Notoriously Impossible Math ...

    www.aol.com/college-student-just-solved...

    A college student just solved a seemingly paradoxical math problem—and the answer came from an incredibly unlikely place.

  7. Ramsey problem - Wikipedia

    en.wikipedia.org/wiki/Ramsey_problem

    The Ramsey problem, or Ramsey pricing, or Ramsey–Boiteux pricing, is a second-best policy problem concerning what prices a public monopoly should charge for the various products it sells in order to maximize social welfare (the sum of producer and consumer surplus) while earning enough revenue to cover its fixed costs.

  8. Mathematical problem - Wikipedia

    en.wikipedia.org/wiki/Mathematical_problem

    A mathematical problem is a problem that can be represented, analyzed, and possibly solved, with the methods of mathematics. This can be a real-world problem, such as computing the orbits of the planets in the solar system, or a problem of a more abstract nature, such as Hilbert's problems .

  9. Infimum and supremum - Wikipedia

    en.wikipedia.org/wiki/Infimum_and_supremum

    (An example of this is the subset {: <} of . It has upper bounds, such as 1.5, but no supremum in Q {\displaystyle \mathbb {Q} } .) Consequently, partially ordered sets for which certain infima are known to exist become especially interesting.