categories
categories is a polysyllabic word with 3 syllables. Using the Knuth-Liang algorithm, we calculated the hyphenation for the word you’ve entered. However, this hyphenation has not been verified against authoritative sources and may be approximate. This is because the algorithm relies on pre-defined patterns that may not cover all exceptions, contextual variations, or irregular spellings. We are working to verify hyphenations against trusted sources to ensure greater accuracy. For now, categories is hyphenated as:
Definitions ofcategories
- A group, often named or numbered, to which items are assigned based on similarity or defined criteria.
Example: "I wouldn't put this book in the same category as the author's first novel."
- 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.
Example: "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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