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  2. Induction puzzles - Wikipedia

    en.wikipedia.org/wiki/Induction_puzzles

    One strategy for solving this version of the hat problem employs Hamming codes, which are commonly used to detect and correct errors in data transmission. The probability for winning will be much higher than 50%, depending on the number of players in the puzzle configuration: for example, a winning probability of 87.5% for 7 players.

  3. Three utilities problem - Wikipedia

    en.wikipedia.org/wiki/Three_utilities_problem

    These embeddings solve versions of the puzzle in which the houses and companies are drawn on a coffee mug or other such surface instead of a flat plane. [20] There is even enough additional freedom on the torus to solve a version of the puzzle with four houses and four utilities.

  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. Decision problem - Wikipedia

    en.wikipedia.org/wiki/Decision_problem

    Another is the problem "given two numbers x and y, does x evenly divide y?". The answer is either 'yes' or 'no' depending upon the values of x and y. A method for solving a decision problem, given in the form of an algorithm, is called a decision procedure for that problem.

  6. Answer set programming - Wikipedia

    en.wikipedia.org/wiki/Answer_set_programming

    Lparse is the name of the program that was originally created as a grounding tool (front-end) for the answer set solver smodels.The language that Lparse accepts is now commonly called AnsProlog, [9] short for Answer Set Programming in Logic. [10]

  7. Fermat's Last Theorem - Wikipedia

    en.wikipedia.org/wiki/Fermat's_Last_Theorem

    Problem II.8 of the Arithmetica asks how a given square number is split into two other squares; in other words, for a given rational number k, find rational numbers u and v such that k 2 = u 2 + v 2. Diophantus shows how to solve this sum-of-squares problem for k = 4 (the solutions being u = 16/5 and v = 12/5). [29]

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