vector space

Fetched 2026-10-26 (cache).

Synonyms: vector spaces, factor space

Antonyms: vector spaces, factor space

Related words from Datamuse; suggestions, not definitions.

Noun

1. {{lb|en|algebra|geometry|topology}} A [[set]] of elements called [[vector]]s, together with some [[field]] and operations called [[addition]] (mapping two vectors to a vector) and [[scalar multiplication]] (mapping a vector and an element in the field to a vector), satisfying a list of [[constraint]]s; equivalently, a [[module]] over a [[field]].

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