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 part, portion, or subdivision.

A distinct course of life, action, study, or the like.

* {{quote-news, year=2014

, date=November 14 , author=Stephen Halliday , title=Scotland 1-0 Republic of Ireland: Maloney the hero , work=The Scotsman citation , page= , passage=Flair and invention were very much at a premium, suffocated by the relentless pace and often fractious nature of proceedings. The absence of James Morrison from the centre of Scotland’s midfield, the West Brom man ruled out on the morning of the game by illness, had already diminished the creative capacity of the home side in that department .}}

* (and other bibliographic particulars), (Thomas Babington Macaulay)

A subdivision of an organization.

# One of the principal divisions of executive government

the Treasury Department'''''; ''the '''Department''' of Agriculture''; ''police '''department

# One of the divisions of instructions

the physics department'''''; ''the gender studies '''department

A territorial division; a district; especially, in France, one of the districts composed of several arrondissements into which the country is divided for governmental purposes.

* 2002 , , The Great Nation: France from Louis XV to the 1715-99 , Penguin 2003, p. 427:

The departments were the bricks from which the edifice of the nation was to be constructed.

(label) A military subdivision of a country; as, the Department of the Potomac.

(label) Act of departing; departure.

* (and other bibliographic particulars), Wotton

sudden 'departments from one extreme to another