Definitions for Categoryˈkæt ɪˌgɔr i, -ˌgoʊr i
This page provides all possible meanings and translations of the word Category
class, category, family(noun)
a collection of things sharing a common attribute
"there are two classes of detergents"
a general concept that marks divisions or coordinations in a conceptual scheme
A group, often named or numbered, to which items are assigned based on similarity or defined criteria.
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.
Origin: From categorie, from categoria, from .
one of the highest classes to which the objects of knowledge or thought can be reduced, and by which they can be arranged in a system; an ultimate or undecomposable conception; a predicament
class; also, state, condition, or predicament; as, we are both in the same category
Origin: [L. categoria, Gr. , fr. to accuse, affirm, predicate; down, against + to harrangue, assert, fr. assembly.]
In mathematics, a category is an algebraic structure that comprises "objects" that are linked by "arrows". A category has two basic properties: the ability to compose the arrows associatively and the existence of an identity arrow for each object. A simple example is the category of sets, whose objects are sets and whose arrows are functions. On the other hand, any monoid can be understood as a special sort of category, and so can any preorder. In general, the objects and arrows may be abstract entities of any kind, and the notion of category provides a fundamental and abstract way to describe mathematical entities and their relationships. This is the central idea of category theory, a branch of mathematics which seeks to generalize all of mathematics in terms of objects and arrows, independent of what the objects and arrows represent. Virtually every branch of modern mathematics can be described in terms of categories, and doing so often reveals deep insights and similarities between seemingly different areas of mathematics. For more extensive motivational background and historical notes, see category theory and the list of category theory topics. Two categories are the same if they have the same collection of objects, the same collection of arrows, and the same associative method of composing any pair of arrows. Two categories may also be considered "equivalent" for purposes of category theory, even if they are not precisely the same.
British National Corpus
Spoken Corpus Frequency
Rank popularity for the word 'Category' in Spoken Corpus Frequency: #2971
Rank popularity for the word 'Category' in Nouns Frequency: #700
Translations for Category
From our Multilingual Translation Dictionary
- categoriaCatalan, Valencian
- رسته, کتگوریPersian
- kategoria, luokkaFinnish
- earnáil, catagóirIrish
- gnè, seòrsaScottish Gaelic
- קָטֵגוֹרְיָה, סוּג, מַחְלָקָהHebrew
- वर्ग, श्रेणीHindi
- կարգ, ստորոգում, կատեգորիաArmenian
- 種別, 分類, 範疇, 部門, 圏Japanese
- 分類, 분류, 範疇, 범주Korean
- kategoriNorwegian Nynorsk
- categorii, categorieRomanian
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