Noun

(en noun)

Mode of action; way of performing or effecting anything; method; style; form; fashion.

* (William Shakespeare) (1564-1616)

The treacherous manner of his mournful death.

* , chapter=15

, title= The Mirror and the Lamp , passage=Edward Churchill still attended to his work in a hopeless mechanical manner like a sleep-walker who walks safely on a well-known round. But his Roman collar galled him, his cossack stifled him, his biretta was as uncomfortable as a merry-andrew's cap and bells.}}

Characteristic mode of acting, conducting, carrying one's self; bearing; habitual style.

* 1661 , , The Life of the most learned, reverend and pious Dr. H. Hammond

During the whole time of his abode in the university he generally spent thirteen hours of the day in study; by which assiduity besides an exact dispatch of the whole course of philosophy, he read over in a manner all classic authors that are extant

* '>citation

Customary method of acting; habit.

Carriage; behavior; deportment; also, becoming behavior; well-bred carriage and address.

*{{quote-book, year=1922, author=(Ben Travers)

, chapter=6, title= A Cuckoo in the Nest , passage=But Sophia's mother was not the woman to brook defiance. After a few moments' vain remonstrance her husband complied. His manner and appearance were suggestive of a satiated sea-lion.}}

The style of writing or thought of an author; characteristic peculiarity of an artist.

Certain degree or measure.

Sort; kind; style.

Standards of conduct cultured and product of mind.

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.