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 The students then learned to map out the likely impact of teeth scrubbing on plaque growth, before pivoting to other possible applications of advanced concepts like vector spaces and differential equations. Daniel Mollenkamp, USA TODAY, 6 Sep. 2023 In this world, each vector space has only a finite number of vectors. Anil Ananthaswamy, Quanta Magazine, 13 Apr. 2023 Retailers were among the first companies to take advantage of early AI and machine learning technology like vector space model search and semantic vector modeling. Cory Cummings, Forbes, 21 Apr. 2023 The subspace design problem deals with n-dimensional vector spaces and their subspaces. Anil Ananthaswamy, Quanta Magazine, 13 Apr. 2023 Various subspaces lie inside each vector space. Anil Ananthaswamy, Quanta Magazine, 13 Apr. 2023 The corresponding transformations in this case are called linear transformations, and each must have a specified source and target vector space indicating which kinds of vectors arise as inputs and outputs. Emily Riehl, Scientific American, 17 Sep. 2021 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 See More

These examples are programmatically compiled from various online sources to illustrate current usage of the word 'vector space.' Any opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback about these examples.

Word History

First Known Use

1937, in the meaning defined above

Time Traveler
The first known use of vector space was in 1937

Dictionary Entries Near vector space

Cite this Entry

“Vector space.” Dictionary, Merriam-Webster, Accessed 10 Dec. 2023.

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