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.

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FIELD

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

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

field

Noun

  1. A land area free of woodland, cities, and towns; open country.
  2. A wide, open space that is usually used to grow crops or to hold farm animals.
  3. The open country near or belonging to a town or city -- usually used in plural.
  4. A physical phenomenon, such as force, potential, or fluid velocity, that pervades a region.
  5. A course of study or domain of knowledge or practice.
  6. An area that can be seen at a given time.
  7. A place where a battle is fought; a battlefield.
  8. An area reserved for playing a game.
  9. A realm of practical, direct, or natural operation, contrasting with an office, classroom, or laboratory.
  10. 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.}}
  11. A region containing a particular mineral.
  12. The background of the shield
  13. An area of memory or storage reserved for a particular value.
  14. A component of a database record in which a single unit of information is stored.
  15. A physical or virtual location for the input of information in the form of characters.
  16. The team in a match that throws the ball and tries to catch it when it is hit by the other team (the bat).
  17. The outfield.
  18. An unrestricted or favourable opportunity for action, operation, or achievement.
  19. All of the competitors in any outdoor contest or trial, or all except the favourites in the betting.

Verb

  1. To intercept or catch (a ball) and play it.
  2. 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.
  3. To place a team in (a game).
    The away team fielded two new players and the second-choice goalkeeper.
  4. 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.

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