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Problem
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For other uses, see Problem (disambiguation).

A problem is an obstacle which makes it difficult to achieve a desired goal, objective or purpose. It refers to a situation, condition, or issue that is yet unresolved. In a broad sense, a problem exists when an individual becomes aware of a significant difference between what actually is and what is desired.
Contents
[hide]

* 1 Etymology
* 2 Problem Solving
* 3 Examples
* 4 See also
* 5 References

[edit] Etymology

The word problem derives from Greek πρόβλημα (próblema), „something, that has been presented.

[edit] Problem Solving

Every problem asks for an answer or solution. Trying to find a solution to a problem is known as problem solving. The time it takes to solve a problem is a way of measuring complexity.[1] Many problems have no discovered solution and are therefore classified as an open problem.
See also: List of unsolved problems

From the mid 20th century, the field of theoretical computer science has explored the use of computers to solve problems.

[edit] Examples

* Mathematical problem is a question about mathematical objects and structures that may require a distinct answer or explanation or proof. Examples include word problems at school level or deeper problems such as shading a map with only four colours.
* In society, a problem can refer to particular social issues, which if solved would yield social benefits, such as increased harmony or productivity, and conversely diminished hostility and disruption.
See also: Wicked problem
* In business and engineering, a problem is a difference between actual conditions and those that are required or desired. Often, the causes of a problem are not known, in which case root cause analysis is employed to find the causes and identify corrective actions.
* In chess, a problem is a puzzle set by somebody using chess pieces on a chess board, for others to get instruction or intellectual satisfaction from determining the solution.
* In theology, there is what is referred to as the Synoptic Problem, which includes in its discourse a concern for assumptions of historical accuracy that are challenged by apparent contradictions in the Gospels' accounts of allegedly historical events.
* In academic discourse a problem is a challenge to an assumption, an apparent conflict that requires synthesis and reconciliation. It is a normal part of systematic thinking, the address of which adds to or detracts from the veracity of a conclusion or idea.
* An optimization problem is finding the best solution from all feasible solutions. A good example of this type of problem is the travelling salesperson problem which is based on calculating the most efficient route between many places
* In computability theory a decision problem requires a simple yes-or-no answer.
* In rock climbing a problem is a series of climbing holds that forces the climber to plan and execute a certain maneuver.