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  2. Problem statement - Wikipedia

    en.wikipedia.org/wiki/Problem_statement

    Problem statement. A problem statement is a description of an issue to be addressed or a condition to be improved upon. It identifies the gap between the current problem and goal. The first condition of solving a problem is understanding the problem, which can be done by way of a problem statement. [1]

  3. Problem solving - Wikipedia

    en.wikipedia.org/wiki/Problem_solving

    Problem solving is the process of achieving a goal by overcoming obstacles, a frequent part of most activities. Problems in need of solutions range from simple personal tasks (e.g. how to turn on an appliance) to complex issues in business and technical fields. The former is an example of simple problem solving (SPS) addressing one issue ...

  4. Dining philosophers problem - Wikipedia

    en.wikipedia.org/wiki/Dining_philosophers_problem

    Problem statement. Five philosophers dine together at the same table. Each philosopher has their own plate at the table. There is a fork between each plate. The dish served is a kind of spaghetti which has to be eaten with two forks. Each philosopher can only alternately think and eat. Moreover, a philosopher can only eat their spaghetti when ...

  5. Knapsack problem - Wikipedia

    en.wikipedia.org/wiki/Knapsack_problem

    The most common problem being solved is the 0-1 knapsack problem, which restricts the number of copies of each kind of item to zero or one. Given a set of items numbered from 1 up to , each with a weight and a value , along with a maximum weight capacity , subject to and . Here represents the number of instances of item to include in the knapsack.

  6. Optimization problem - Wikipedia

    en.wikipedia.org/wiki/Optimization_problem

    For broader coverage of this topic, see Mathematical optimization. In mathematics, engineering, computer science and economics, an optimization problem is the problem of finding the best solution from all feasible solutions . Optimization problems can be divided into two categories, depending on whether the variables are continuous or discrete ...

  7. Simon's problem - Wikipedia

    en.wikipedia.org/wiki/Simon's_problem

    In computational complexity theory and quantum computing, Simon's problem is a computational problem that is proven to be solved exponentially faster on a quantum computer than on a classical (that is, traditional) computer. The quantum algorithm solving Simon's problem, usually called Simon's algorithm, served as the inspiration for Shor's ...

  8. P versus NP problem - Wikipedia

    en.wikipedia.org/wiki/P_versus_NP_problem

    If the solution to a problem is easy to check for correctness, must the problem be easy to solve? (more unsolved problems in computer science) Millennium Prize Problems Birch and Swinnerton-Dyer conjecture Hodge conjecture Navier–Stokes existence and smoothness P versus NP problem Poincaré conjecture (solved) Riemann hypothesis Yang–Mills existence and mass gap The P versus NP problem is ...

  9. Computational problem - Wikipedia

    en.wikipedia.org/wiki/Computational_problem

    Computational problem. In theoretical computer science, a computational problem is one that asks for a solution in terms of an algorithm. For example, the problem of factoring. "Given a positive integer n, find a nontrivial prime factor of n ." is a computational problem that has a solution, as there are many known integer factorization algorithms.