## FIELD

### Field

In abstract algebra, a**field**is a nonzero commutative ring that contains a multiplicative inverse for every nonzero element, or equivalently a ring whose nonzero elements form an abelian group under multiplication. As such it is an algebraic structure with notions of addition, subtraction, multiplication, and division satisfying the appropriate abelian group equations and distributive law. The most commonly used fields are the field of real numbers, the field of complex numbers, and the field of rational numbers, but there are also finite fields, fields of functions, algebraic number fields,

*p*-adic fields, and so forth.

*The above text is a snippet from Wikipedia: Field (mathematics)*

and as such is available under the Creative Commons Attribution/Share-Alike License.

and as such is available under the Creative Commons Attribution/Share-Alike License.

### FIELD

**magazine is a twice-yearly literary magazine published by Oberlin College in Oberlin, Ohio, and focusing on contemporary poetry and poetics.**

*FIELD**The above text is a snippet from Wikipedia: FIELD (magazine)*

and as such is available under the Creative Commons Attribution/Share-Alike License.

and as such is available under the Creative Commons Attribution/Share-Alike License.

### field

#### Noun

- A land area free of woodland, cities, and towns; open country.
- A wide, open space that is usually used to grow crops or to hold farm animals.
- The open country near or belonging to a town or city -- usually used in plural.
- A physical phenomenon, such as force, potential, or fluid velocity, that pervades a region.
- A course of study or domain of knowledge or practice.
- An area that can be seen at a given time.
- A place where a battle is fought; a battlefield.
- An area reserved for playing a game.
- A realm of practical, direct, or natural operation, contrasting with an office, classroom, or laboratory.
- A commutative ring with identity for which every nonzero element has a multiplicative inverse.
- {{usex|lang=en|The set of rational numbers, <math>\mathbb{Q}</math>, is the prototypical
**field**.}}

- {{usex|lang=en|The set of rational numbers, <math>\mathbb{Q}</math>, is the prototypical
- A region containing a particular mineral.
- The background of the shield
- An area of memory or storage reserved for a particular value.
- A component of a database record in which a single unit of information is stored.
- A physical or virtual location for the input of information in the form of characters.
- The team in a match that throws the ball and tries to catch it when it is hit by the other team (the bat).
- The outfield.
- An unrestricted or favourable opportunity for action, operation, or achievement.
- All of the competitors in any outdoor contest or trial, or all except the favourites in the betting.

#### Verb

- To intercept or catch (a ball) and play it.
- To be the team catching and throwing the ball, as opposed to hitting it.
*The blue team are***fielding**first, while the reds are batting.

- To place a team in (a game).
*The away team***field**ed two new players and the second-choice goalkeeper.

- To answer; to address.
*She will***field**questions immediately after her presentation.

*The above text is a snippet from Wiktionary: field*

and as such is available under the Creative Commons Attribution/Share-Alike License.

and as such is available under the Creative Commons Attribution/Share-Alike License.