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Meaning of "vector space" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF VECTOR SPACE

vector space play
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GRAMMATICAL CATEGORY OF VECTOR SPACE

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Vector space is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES VECTOR SPACE MEAN IN ENGLISH?

Vector space

A vector space is a mathematical structure formed by a collection of elements called vectors, which may be added together and multiplied by numbers, called scalars in this context. Scalars are often taken to be real numbers, but there are also vector spaces with scalar multiplication by complex numbers, rational numbers, or generally any field. The operations of vector addition and scalar multiplication must satisfy certain requirements, called axioms, listed below. An example of a vector space is that of Euclidean vectors, which may be used to represent physical quantities such as forces: any two forces can be added to yield a third, and the multiplication of a force vector by a real multiplier is another force vector. In the same vein, but in a more geometric sense, vectors representing displacements in the plane or in three-dimensional space also form vector spaces. Vectors in vector spaces do not necessarily have to be arrow-like objects as they appear in the mentioned examples: vectors are best thought of as abstract mathematical objects with particular properties, which in some cases can be visualized as arrows.

WORDS THAT BEGIN LIKE VECTOR SPACE

veal
veal calf
veal crate
vealer
vealy
Veblen
vectograph
vector
vector field
vector font
vector product
vector sum
vectorial
vectorially
vectoring
vectorisation
vectorization
vectorize
vectorscope

WORDS THAT END LIKE VECTOR SPACE

aerospace
airspace
backspace
crawl space
cyberspace
deep space
disk space
double-space
floor space
free space
interspace
living space
MySpace
office space
outer space
personal space
single-space
space
subspace
webspace
work space

Synonyms and antonyms of vector space in the English dictionary of synonyms

SYNONYMS

Translation of «vector space» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF VECTOR SPACE

Find out the translation of vector space to 25 languages with our English multilingual translator.
The translations of vector space from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «vector space» in English.

Translator English - Chinese

向量空间
1,325 millions of speakers

Translator English - Spanish

espacio vectorial
570 millions of speakers

English

vector space
510 millions of speakers

Translator English - Hindi

वेक्टर अंतरिक्ष
380 millions of speakers
ar

Translator English - Arabic

ناقلات الفضاء
280 millions of speakers

Translator English - Russian

векторное пространство
278 millions of speakers

Translator English - Portuguese

espaço vetorial
270 millions of speakers

Translator English - Bengali

ভেক্টর স্থান
260 millions of speakers

Translator English - French

espace vectoriel
220 millions of speakers

Translator English - Malay

Ruang vektor
190 millions of speakers

Translator English - German

Vektorraum
180 millions of speakers

Translator English - Japanese

ベクトル空間
130 millions of speakers

Translator English - Korean

벡터 공간
85 millions of speakers

Translator English - Javanese

Spasi vektor
85 millions of speakers
vi

Translator English - Vietnamese

không gian vector
80 millions of speakers

Translator English - Tamil

திசையன் இடம்
75 millions of speakers

Translator English - Marathi

वेक्टर जागा
75 millions of speakers

Translator English - Turkish

Vektör uzayı
70 millions of speakers

Translator English - Italian

spazio vettoriale
65 millions of speakers

Translator English - Polish

przestrzeni wektorowych
50 millions of speakers

Translator English - Ukrainian

векторний простір
40 millions of speakers

Translator English - Romanian

spatiu vectorial
30 millions of speakers
el

Translator English - Greek

διανυσματικό χώρο
15 millions of speakers
af

Translator English - Afrikaans

vektorruimte
14 millions of speakers
sv

Translator English - Swedish

rymdvektor
10 millions of speakers
no

Translator English - Norwegian

vektorrom
5 millions of speakers

Trends of use of vector space

TRENDS

TENDENCIES OF USE OF THE TERM «VECTOR SPACE»

The term «vector space» is regularly used and occupies the 72.750 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
66
/100
The map shown above gives the frequency of use of the term «vector space» in the different countries.
Principal search tendencies and common uses of vector space
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «vector space».

FREQUENCY OF USE OF THE TERM «VECTOR SPACE» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «vector space» during the past 500 years. Its implementation is based on analysing how often the term «vector space» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about vector space

EXAMPLES

10 ENGLISH BOOKS RELATING TO «VECTOR SPACE»

Discover the use of vector space in the following bibliographical selection. Books relating to vector space and brief extracts from same to provide context of its use in English literature.
1
A Vector Space Approach to Geometry
The effects of geometry and linear algebra on each other receive close attention in this examination of geometry’s correlation with other branches of math and science.
Melvin Hausner, 2012
2
Optimization by Vector Space Methods
Nearly 30 years after its initial publication, this book is still among the most frequently cited sources in books and articles on financial optimization.
David G. Luenberger, 1969
3
Finite Dimensional Vector Spaces
The book brought him instant fame as an expositor of mathematics. Finite Dimensional Vector Spaces combines algebra and geometry to discuss the three-dimensional area where vectors can be plotted.
Paul R. Halmos, 1947
4
Vector Space Projections: A Numerical Approach to Signal and ...
This book: * Reviews the fundamentals of vector space theory * Covers principles and applications of vector space projections in general, and projections onto convex sets in particular * Provides real-world examples solvable on PCs and ...
Henry Stark, Yongyi Yang, 1998
5
Engineering analysis: a vector space approach
This text develops a repertoire of analytical tools related to linear spaces, linear transformations, and linear systems, providing students with the facility to investigate new theoretical concepts in several engineering specialties.
Robert Joseph Schilling, Hua Lee, 1988
6
Linear Representations of Partially Ordered Sets and Vector ...
This volume provides an elementary yet comprehensive introduction to representations of partially ordered sets and bimodule matrix problems, and their use in representation theory of algebras.
Daniel Simson, 1993
7
Elementary Linear Algebra: Applications Version
It is possible for one vector space to be contained within another. We will explore this idea in this section, we will discuss how to recognize such vector spaces, and we will give a variety of examples that will be used in our later work. We will ...
Howard Anton, Chris Rorres, 2010
8
Multivariate statistics: a vector space approach
Building from his lecture notes, Eaton (mathematics, U. of Minnesota) has designed this text to support either a one-year class in graduate-level multivariate courses or independent study.
Morris L. Eaton, 1983
9
Topological Vector Spaces
PRELIMINARY TEXT : DO NOT USE This book is intended to be a systematic text on topological vector spaces and presupposes familiarity with the elements of general topology and linear algebra.
H.H. Schaefer, Manfred P. H. Wolff, 1999
10
Graph Classification and Clustering Based on Vector Space ...
This book is concerned with a fundamentally novel approach to graph-based pattern recognition based on vector space embedding of graphs.
Kaspar Riesen, Horst Bunke, 2010

10 NEWS ITEMS WHICH INCLUDE THE TERM «VECTOR SPACE»

Find out what the national and international press are talking about and how the term vector space is used in the context of the following news items.
1
EC Glass students learn to build, fly drone
Jack Riffee flies a drone with the help of Ben Clark of 323 Unmanned Flight Services on Thursday as part of Vector Space's class offered to high school students ... «Lynchburg News and Advance, Jul 15»
2
Doing natural language processing with neural nets without the high …
“I can subtract vectors, I can rotate the vectors, I can look at how far one vector is from another. So by embedding these words into a vector space, we can ... «CIO Australia, May 15»
3
Balloon launch aims to raise student awareness of science and …
The team designed and built their capsule as a part of the Global Space .... Vector Space is a nonprofit maker space in Lynchburg for people interested in ... «Lynchburg News and Advance, May 15»
4
Ravens Offensive Lineman John Urschel Explains His Mathematics …
Now, let's look at the word vector. This definition can be tough. Formally in mathematics, a vector is an element of something called a vector space. «Forbes, Mar 15»
5
Showing axioms hold for a set of objects that becomes a vectorspace
e) Show that Axiom 10 fails and hence that V is not a vector space under the given operations. Answer: Axiom 10 fails because the scalar 1 does not exist in V, ... «GameDev.net, Nov 14»
6
Web Semantics: Language as vector space mathematics
*Makes one wonder what it would sound like to simply speak vector space mathematics aloud, rather than bothering with human language. «Wired, Jan 14»
7
Language Translation: A Problem of Vector Space Mathematics
The set of all the relationships, the so-called “language space”, can be thought of as a set of vectors that each point from one word to another. And in recent ... «Science 2.0, Sep 13»
8
Google's robot army learns Spanish
The system works by visualizing the vectors of individual words, then ... animal smaller than a dog), there is often a strong similarity between the vector spaces.". «Register, Sep 13»
9
How Google Has Turned Language Translation into a Math Problem
The neat thing is that the technique doesn't really make any assumptions about the languages involved, it just interrogates the way vector space are related to ... «Gizmodo, Sep 13»
10
An Artist Sculpts Rooms Using Vectors Of Light
Haebich's latest work, Vector Space, purposes all kinds of lasers to create large, echoing rooms out of nothing but light, shadow, and lots and lots of smoke. «Co.Design, Jun 13»

REFERENCE
« EDUCALINGO. Vector space [online]. Available <https://educalingo.com/en/dic-en/vector-space>. May 2024 ».
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