Noun

(categories)

A group, often named or numbered, to which items are assigned based on similarity or defined criteria.

*

The traditional way of describing the similarities and differences between constituents is to say that they belong to categories'' of various types. Thus, words like ''boy'', ''girl'', ''man'', ''woman'', etc. are traditionally said to belong to the category''' of Nouns, whereas words like ''a'', ''the'', ''this'', and ''that'' are traditionally said to belong to the ' category of Determiners.

This steep and dangerous climb belongs to the most difficult category .

I wouldn't put this book in the same category as the author's first novel.

(mathematics) A collection of objects, together with a transitively closed collection of composable arrows between them, such that every object has an identity arrow, and such that arrow composition is associative.

One well-known category has sets as objects and functions as arrows.

Just as a monoid consists of an underlying set with a binary operation "on top of it" which is closed, associative and with an identity, a category consists of an underlying digraph with an arrow composition operation "on top of it" which is transitively closed, associative, and with an identity at each object. In fact, a category's composition operation, when restricted to a single one of its objects, turns that object's set of arrows (which would all be loops) into a monoid.

Noun

(en 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.

* (Lord Byron) (1788-1824)

fields which promise corn and wine

*{{quote-book, year=1927, author= F. E. Penny

, chapter=5, title= Pulling the Strings , passage=Anstruther laughed good-naturedly. “[…] I shall take out half a dozen intelligent maistries from our Press and get them to give our villagers instruction when they begin work and when they are in the fields .”}}

The open country near or belonging to a town or city—usually used in plural.

*

, title=(The Celebrity), chapter=8 , passage=I corralled the judge, and we started off across the fields , in no very mild state of fear of that gentleman's wife, whose vigilance was seldom relaxed. And thus we came by a circuitous route to Mohair, the judge occupied by his own guilty thoughts, and I by others not less disturbing.}}

A physical phenomenon, such as force, potential, or fluid velocity, that pervades a region.

(senseid)A course of study or domain of knowledge or practice.

* {{quote-magazine, date=2013-05-10, author=Audrey Garric

, volume=188, issue=22, page=30, magazine=(The Guardian Weekly) , title= Urban canopies let nature bloom , passage=As towns continue to grow, replanting vegetation has become a form of urban utopia and green roofs are spreading fast. Last year 1m square metres of plant-covered roofing was built in France, as much as in the US, and 10 times more than in Germany, the pioneer in this field .}}

An area that can be seen at a given time.

(senseid)A place where a battle is fought; a battlefield.

* (William Shakespeare) (1564-1616)

this glorious and well-foughten field

* (John Milton) (1608-1674)

What though the field be lost?

An area reserved for playing a game.

A realm of practical, direct, or natural operation, contrasting with an office, classroom, or laboratory.

(senseid)(label) A commutative ring with identity for which every non element has a multiplicative inverse.

(label) A region containing a particular mineral.

(label) The background of the shield.

(label) 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).

(label) The outfield.

An unrestricted or favourable opportunity for action, operation, or achievement.

* (1800-1859)

afforded a clear field for moral experiments

All of the competitors in any outdoor contest or trial, or all except the favourites in the betting.