- published: 30 May 2014
- views: 743185922
A problem is an obstacle, impediment, difficulty or challenge, or any situation that invites resolution; the resolution of which is recognized as a solution or contribution toward a known purpose or goal. A problem implies a desired outcome coupled with an apparent deficiency, doubt or inconsistency that prevents the outcome from taking place.
Every theoretical problem asks for an answer or solution. Trying to find a solution to a problem is known as problem solving. There are many standard techniques for problem solving, such as Proof by Contradiction, or Proof by Exhaustion, the latter famously being used in the solution to the Thirty-Six Officers Problem posed by Leonhard Euler. A problem is a gap between an actual and desired situation. The time it takes to solve a problem is a way of measuring complexity. Many problems have no discovered solution and are therefore classified as an open problem.
From the mid 20th century, the field of theoretical computer science has explored the use of computers to solve problems.
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