vector space


Definition of vector space

: a set of vectors along with operations of addition and multiplication such that the set is a commutative group under addition, it includes a multiplicative inverse, and multiplication by scalars is both associative and distributive

Examples of vector space in a Sentence

Recent Examples on the Web Inherent in the vector space approach is the idea that our coordinate system is based on straight lines, and the space is flat. Ian Stewart, Wired, 7 Sep. 2021 Similar words appear closer to each other in the vector space. Ben Zimmer, The Atlantic, 27 June 2018 In this approach, words and phrases are mapped onto a geometrical space known as a vector space, which captures degrees of similarity among different words in a corpus (a large collection of texts). Ben Zimmer, The Atlantic, 27 June 2018

These example sentences are selected automatically from various online news sources to reflect current usage of the word 'vector space.' Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Send us feedback.

Keep scrolling for more

First Known Use of vector space

1937, in the meaning defined above

Keep scrolling for more

Learn More About vector space

Time Traveler for vector space

Time Traveler

The first known use of vector space was in 1937

See more words from the same year

Dictionary Entries Near vector space

vector psychology

vector space

vector sum

See More Nearby Entries 

Statistics for vector space

Cite this Entry

“Vector space.” Dictionary, Merriam-Webster, Accessed 19 May. 2022.

Style: MLA
MLACheck Mark Icon ChicagoCheck Mark Icon APACheck Mark Icon Merriam-WebsterCheck Mark Icon

More from Merriam-Webster on vector space Encyclopedia article about vector space


Test Your Vocabulary

Eponyms: Words Named After People

Spell It

Can you spell these 10 commonly misspelled words?

Universal Daily Crossword

A daily challenge for crossword fanatics.

Love words? Need even more definitions?

Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free!