vector space

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noun Mathematics.

an additive group in which addition is commutative and with which is associated a field of scalars, as the field of real numbers, such that the product of a scalar and an element of the group or a vector is defined, the product of two scalars times a vector is associative, one times a vector is the vector, and two distributive laws hold.

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Also called linear space.

Origin of vector space

First recorded in 1940–45

Words nearby vector space

vector function, vector graphic, vector graphics, vectorial, vector product, vector space, vector sum, vecture, vecturist, Veda, vedalia

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2022

How to use vector space in a sentence

Space Invaders had just been introduced in America, and Atari was looking for a game that would do it one better.
‘Asteroids’ & The Dawn of the Gamer Age|David Owen|November 29, 2014|DAILY BEAST
Her very first sculpture, a metallic chrome unicorn aptly titled “Space Oracle,” sits on a pedestal directly in front.
The Tiniest Jackson Pollock|Justin Jones|November 5, 2014|DAILY BEAST
An unmanned rocket intended to deliver supplies to the International Space Station exploded on Tuesday.
Harry Potter Raps, The Catcalls Heard ‘Round the World and More Viral Videos|Alex Chancey|November 2, 2014|DAILY BEAST
These companies include SpaceX, Orbital Sciences, Sierra Nevada Space Systems, and more.
Luxembourg and China Team Up on Private Mission to the Moon|Matthew R. Francis|October 26, 2014|DAILY BEAST

It should also be noted that Space Jam did not make the cut, so you can rest easy.
Basketball Bounces Through Classic Movies|Alex Chancey, The Daily Beast Video|October 15, 2014|DAILY BEAST
And we may proceed to the remaining two of the great classes into which facts have been divided; Resemblance, and Order in Space.
A System of Logic: Ratiocinative and Inductive|John Stuart Mill
A suspense story of Tomorrow and a crisis in the advance into Space.
Space Prison|Tom Godwin
"We were going to talk about the Space Guard," Lyla said in an emotionless tone.
--And Devious the Line of Duty|Tom Godwin
I understand you wanted to talk to me about the Space Guard?
--And Devious the Line of Duty|Tom Godwin
Space will not permit going over these connections in detail.
Elements of Plumbing|Samuel Dibble

British Dictionary definitions for vector space

vector space

noun

maths a mathematical structure consisting of a set of objects (vectors) associated with a field of objects (scalars), such that the set constitutes an Abelian group and a further operation, scalar multiplication, is defined in which the product of a scalar and a vector is a vectorSee also scalar multiplication

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Scientific definitions for vector space

vector space

A set of generalized vectors and a field of scalars, together with rules for their addition and multiplication (the same rules used for ordinary vectors and scalars).