# What is problem?

• (noun): A question raised for consideration or solution.
Example: "Our homework consisted of ten problems to solve"

## Problem

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.

### Some articles on problem:

Hamiltonian Path Problem
... In the mathematical field of graph theory the Hamiltonian path problem and the Hamiltonian cycle problem are problems of determining whether a Hamiltonian path or ... Both problems are NP-complete ...
Necklace Problem
... The necklace problem is a problem in recreational mathematics, solved in the early 21st century ...
Y2K Problem - Background
... Y2K is a numeronym and was the common abbreviation for the year 2000 software problem ... than literal) roll-over of the millennium, even though the problem could have occurred at the end of any ordinary century ... The Year 2000 problem was the subject of the early book, Computers in Crisis by Jerome and Marilyn Murray (Petrocelli, 1984 reissued by McGraw-Hill under the title The Year 2000 Computing Crisis in 1996) ...
Divide And Conquer Algorithm
... A divide and conquer algorithm works by recursively breaking down a problem into two or more sub-problems of the same (or related) type, until these become simple enough to be solved directly ... The solutions to the sub-problems are then combined to give a solution to the original problem ... This technique is the basis of efficient algorithms for all kinds of problems, such as sorting (e.g ...
Hilbert's Nullstellensatz - Effective Nullstellensatz
... To solve this problem, it suffices to provide an upper bound on the total degree of the such a bound reduces the problem to a finite system of linear equations that ... A related problem is the ideal membership problem, which consists in testing if a polynomial belongs to an ideal ... For this problem also, a solution is provided by a upper bound on the degree of the A general solution of the ideal membership problem provides an effective Nullstellensatz, at least for the weak form ...

### More definitions of "problem":

• (noun): A source of difficulty.
Example: "What's the problem?"
Synonyms: trouble
• (noun): A state of difficulty that needs to be resolved.
Synonyms: job

### Famous quotes containing the word problem:

The family environment in which your children are growing up is different from that in which you grew up. The decisions our parents made and the strategies they used were developed in a different context from what we face today, even if the “content” of the problem is the same. It is a mistake to think that our own experience as children and adolescents will give us all we need to help our children. The rules of the game have changed.
Lawrence Kutner (20th century)

Involuntary mental hospitalization is like slavery. Refining the standards for commitment is like prettifying the slave plantations. The problem is not how to improve commitment, but how to abolish it.
Thomas Szasz (b. 1920)

The problem of the twentieth century is the problem of the color-line—the relation of the darker to the lighter races of men in Asia and Africa, in America and the islands of the sea. It was a phase of this problem that caused the Civil War.
—W.E.B. (William Edward Burghardt)