category
nounB1Định nghĩa theo từ loại
Danh từ
noun- 1.
A group, often named or numbered, to which items are assigned based on similarity or defined criteria.
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.
Đồng nghĩa: class, family, genus, kingdom, order, pigeonhole, phylum, race, tribe, type, category, class, description, stripe, fashion, division, family, genre, ilk, kind, likes, race, rubric, set, sort, type
- 2.
(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.
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Nguồn gốc từ
ine-pro Late Middle English -, borrowed from French catégorie, from Middle French categorie, from catēgoria (class of predicables), from Ancient Greek κατηγορία (head of predicables). categoria.