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  2. 10 Hard Math Problems That Even the Smartest People in the ...

    www.aol.com/10-hard-math-problems-even-150000090...

    Here’s another problem that’s very easy to write, but hard to solve. All you need to recall is the definition of rational numbers. Rational numbers can be written in the form p/q, where p and ...

  3. List of unsolved problems in fair division - Wikipedia

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

    With = agents, an envy-free division can be found using two queries, via divide and choose. With > agents, there are several open problems regarding the number of required queries. 1. First, assume that the entire cake must be allocated (i.e., there is no disposal), and pieces may be disconnected.

  4. 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.

  5. Fair division - Wikipedia

    en.wikipedia.org/wiki/Fair_division

    Fair division is the problem in game theory of dividing a set of resources among several people who have an entitlement to them so that each person receives their due share. . That problem arises in various real-world settings such as division of inheritance, partnership dissolutions, divorce settlements, electronic frequency allocation, airport traffic management, and exploitation of Earth ...

  6. Quotition and partition - Wikipedia

    en.wikipedia.org/wiki/Quotition_and_partition

    Thought of quotitively, a division problem can be solved by repeatedly subtracting groups of the size of the divisor. [1] For instance, suppose each egg carton fits 12 eggs, and the problem is to find how many cartons are needed to fit 36 eggs in total. Groups of 12 eggs at a time can be separated from the main pile until none are left, 3 groups:

  7. Consensus splitting - Wikipedia

    en.wikipedia.org/wiki/Consensus_splitting

    The problem is equivalent to exact division in the following sense: For every n and k, a solution to unanimous-proportional division among n(k-1)+1 agents grouped into k families implies a solution to exact division among n agents with k pieces (and equal weights). In particular, it implies that unanimous-proportional division requires at least ...

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