## 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.

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### Some articles on problem:

**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 ...

**Problem**

... The necklace

**problem**is a

**problem**in recreational mathematics, solved in the early 21st century ...

**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) ...

... 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 ...

... 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)