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Beginning
1
English
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1.1
Pronunciation
1.2
Noun
1.2.1
Synonyms
1.2.2
Hypernyms
1.2.3
Hyponyms
1.2.4
Meronyms
1.2.5
Translations
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vector space
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From Wiktionary, the free dictionary
English
[
edit
]
English
Wikipedia
has an article on:
vector space
Wikipedia
Pronunciation
[
edit
]
Audio
(
US
)
:
(
file
)
Noun
[
edit
]
vector
space
(
plural
vector spaces
)
(
algebra
,
geometry
,
topology
)
A
set
of elements called
vectors
, together with some
field
and operations called
addition
(mapping two vectors to a vector) and
scalar multiplication
(mapping a vector and an element in the field to a vector), satisfying a list of
constraints
; equivalently, a
module
over a
field
.
A
vector space
is a set of vectors which can be
linearly combined
.
Each
vector space
has a basis and dimension.
Synonyms
[
edit
]
linear space
Hypernyms
[
edit
]
module
free module
Hyponyms
[
edit
]
algebra over a field
Banach space
Euclidean space
inner product space
normed vector space
quadratic space
real vector space
Meronyms
[
edit
]
linear subspace
subspace
vector
Translations
[
edit
]
mathematics
Afrikaans:
vektorruimte
Armenian:
վեկտորական տարածություն
(
vektorakan taracutʻyun
)
Asturian:
espaciu vectorial
m
Basque:
bektore espazio
Belarusian:
вектарная прастора
f
(
vjektarnaja prastóra
)
Catalan:
espai vectorial
m
Chinese:
Mandarin:
向量空間
/
向量空间
(
xiàngliàng kōngjiān
)
,
矢量空間
/
矢量空间
(
shǐliàng kōngjiān
)
Czech:
vektorový prostor
m
Danish:
vektorrum
n
Dutch:
vectorruimte
(nl)
f
Esperanto:
vektora spaco
Estonian:
vektorruum
Finnish:
vektoriavaruus
(fi)
French:
espace vectoriel
(fr)
m
Galician:
espazo vectorial
m
German:
Vektorraum
m
Greek:
διανυσματικός χώρος
m
(
dianysmatikós chóros
)
Hungarian:
vektortér
(hu)
Icelandic:
vigurrúm
n
Indonesian:
ruang vektor
Interlingua:
spatio vectorial
Irish:
spás veicteoireach
m
Italian:
spazio vettoriale
(it)
m
Japanese:
ベクトル空間
(ja)
(
bekutoru kūkan
)
Korean:
벡터 공간
(
bekteo gonggan
)
Kyrgyz:
вектордук мейкиндик
(
vektorduk meykindik
)
Lithuanian:
vektorinė erdvė
f
Macedonian:
векторски простор
m
(
vektorski prostor
)
Malay:
ruang vektor
Malayalam:
സദിശസമഷ്ടി
(
sadiśasamaṣṭi
)
Norwegian:
vektorrom
(no)
n
Persian:
فضای برداری
Polish:
przestrzeń wektorowa
f
,
przestrzeń liniowa
f
Portuguese:
espaço vetorial
(pt)
m
Romanian:
spațiu vectorial
n
Russian:
ве́кторное простра́нство
(ru)
n
(
véktornoje prostránstvo
)
Serbo-Croatian:
vektorski prostor
m
Slovak:
vektorový priestor
m
Slovene:
vektorski prostor
m
Spanish:
espacio vectorial
m
Swedish:
vektorrum
(sv)
n
Tagalog:
espasyong bektor
Tamil:
திசையன் வெளி
(
ticaiyaṉ veḷi
)
Thai:
ปริภูมิเวกเตอร์
,
ปริภูมิเชิงเส้น
Turkish:
vektör uzayı
Ukrainian:
векторний простір
m
(
vektornyj prostir
)
Vietnamese:
không gian vectơ
(vi)
Retrieved from "
https://en.wiktionary.org/w/index.php?title=vector_space&oldid=83575812
"
Categories
:
English terms with audio pronunciation
English lemmas
English nouns
English countable nouns
English multiword terms
en:Algebra
en:Geometry
en:Topology
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en:Linear algebra
en:Mathematical analysis
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vector space
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