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  2. Art gallery problem - Wikipedia

    en.wikipedia.org/wiki/Art_gallery_problem

    The art gallery problem can be applied in several domains such as in robotics, when artificial intelligences (AI) need to execute movements depending on their surroundings. Other domains, where this problem is applied, are in image editing, lighting problems of a stage or installation of infrastructures for the warning of natural disasters.

  3. Parsons problem - Wikipedia

    en.wikipedia.org/wiki/Parsons_problem

    Parsons problems are a form of an objective assessment in which respondents are asked to choose from a selection of code fragments, some subset of which comprise the problem solution. The Parsons problem format is used in the learning and teaching of computer programming .

  4. Monty Hall problem - Wikipedia

    en.wikipedia.org/wiki/Monty_Hall_problem

    These are the only cases where the host opens door 3, so the conditional probability of winning by switching given the host opens door 3 is ⁠ 1/3 / 1/3 + q/3 ⁠ which simplifies to ⁠ 1 / 1 + q ⁠. Since q can vary between 0 and 1 this conditional probability can vary between ⁠ 1 / 2 ⁠ and 1. This means even without constraining the ...

  5. List of knapsack problems - Wikipedia

    en.wikipedia.org/wiki/List_of_knapsack_problems

    The knapsack problem is one of the most studied problems in combinatorial optimization, with many real-life applications. For this reason, many special cases and generalizations have been examined. [1] [2] Common to all versions are a set of n items, with each item having an associated profit p j and weight w j.

  6. Dangling else - Wikipedia

    en.wikipedia.org/wiki/Dangling_else

    This problem often comes up in compiler construction, especially scannerless parsing.The convention when dealing with the dangling else is to attach the else to the nearby if statement, [2] allowing for unambiguous context-free grammars, in particular.

  7. HiGHS optimization solver - Wikipedia

    en.wikipedia.org/wiki/HiGHS_optimization_solver

    HiGHS has an interior point method implementation for solving LP problems, based on techniques described by Schork and Gondzio (2020). [10] It is notable for solving the Newton system iteratively by a preconditioned conjugate gradient method, rather than directly, via an LDL* decomposition. The interior point solver's performance relative to ...

  8. How to Solve It - Wikipedia

    en.wikipedia.org/wiki/How_to_Solve_It

    First, you have to understand the problem. [2] After understanding, make a plan. [3] Carry out the plan. [4] Look back on your work. [5] How could it be better? If this technique fails, Pólya advises: [6] "If you cannot solve the proposed problem, try to solve first some related problem. Could you imagine a more accessible related problem?"

  9. Boolean satisfiability problem - Wikipedia

    en.wikipedia.org/wiki/Boolean_satisfiability_problem

    A variant of the 3-satisfiability problem is the one-in-three 3-SAT (also known variously as 1-in-3-SAT and exactly-1 3-SAT). Given a conjunctive normal form with three literals per clause, the problem is to determine whether there exists a truth assignment to the variables so that each clause has exactly one TRUE literal (and thus exactly two ...