vector space
noun
: 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
Many structures in modern math—rings, fields, and vector spaces, for example—are created when more structure is added to groups.
—
Leila Sloman, WIRED, 6 Oct. 2024
Many structures in modern math — rings, fields and vector spaces, for example — are created when more structure is added to groups.
—Leila Sloman, Quanta Magazine, 6 Sep. 2024
This set of probabilities can be represented as a vector that places the word in a specific position within a multi-dimensional vector space.
—The Physics Arxiv Blog, Discover Magazine, 30 May 2024
Using this approach, computer scientists can study the patterns that emerge within this vector space.
—The Physics Arxiv Blog, Discover Magazine, 30 May 2024
Similar words, like elegant and fancy, will have similar vectors, and will also be near each other in the vector space.
—IEEE Spectrum, 14 Feb. 2024
Words are too complex to represent in only two dimensions, so language models use vector spaces with hundreds or even thousands of dimensions.
—Timothy B. Lee and Sean Trott, Ars Technica, 31 July 2023
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
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Leila Sloman, WIRED, 6 Oct. 2024
Many structures in modern math — rings, fields and vector spaces, for example — are created when more structure is added to groups.
—Leila Sloman, Quanta Magazine, 6 Sep. 2024
This set of probabilities can be represented as a vector that places the word in a specific position within a multi-dimensional vector space.
—The Physics Arxiv Blog, Discover Magazine, 30 May 2024
Using this approach, computer scientists can study the patterns that emerge within this vector space.
—The Physics Arxiv Blog, Discover Magazine, 30 May 2024
Similar words, like elegant and fancy, will have similar vectors, and will also be near each other in the vector space.
—IEEE Spectrum, 14 Feb. 2024
Words are too complex to represent in only two dimensions, so language models use vector spaces with hundreds or even thousands of dimensions.
—Timothy B. Lee and Sean Trott, Ars Technica, 31 July 2023
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
Dictionary Entries Near vector space
Cite this Entry
“Vector space.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/vector%20space. Accessed 22 Feb. 2025.
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