vector space
The basic algebraic structure of linear algebra; a module over a field, such that its elements can be added together or scaled by elements of the field
Also known as linear space · vectors in space
- Subclass of
Overview
All data
63 statements · 17% with external sources · numbers in brackets are citations
- Defining formula
\boldsymbol V=(V, \oplus, \odot)
- Members / parts
- set members / parts: vector
- vector addition
- scalar multiplication
- Has characteristic
- base ring value type of this mathematical property: field
- field of scalars
- dimension of a vector space
On other databases
40 identifiers linking vector space across the web's reference databases
- Arab Encyclopedia concept ID161785
- Article ID in the Lithuanian Universal Encyclopedia Onlinevektorine-erdve
- Australian Educational Vocabulary IDscot/14021
- Bibliothèque nationale de France ID11947083w
- BNCF Thesaurus ID8099
- Brilliant Wiki IDvector-space
- Brockhaus Enzyklopädie online IDvektorraum
- Dewey Decimal Classification512.52
- Elhuyar ZTH ID032722
- Encyclopædia Britannica Online IDtopic/vector-space
- Encyclopedia of China (Second Edition) ID238942
- Encyclopedia of Mathematics article IDVector_space
- Fandom article IDmath:Vector_space
- FOLDOC IDvector+space
- Freebase ID/m/07yl0
- GND ID4130622-3
- Gran Enciclopèdia Catalana IDespai-vectorial
- Gran Enciclopèdia Catalana ID (former scheme)0153154
- Great Russian Encyclopedia portal IDvektornoe-prostranstvo-22e0fb
- IEV number102-03-01
- J9U entity ID987007534278205171
- JSTOR topic ID (archived)vector-spaces
- KBpedia IDVectorSpace
- Larousse IDdivers/espace_vectoriel/100918
- Lex IDvektorrum
- Library of Congress Authorities IDsh85142456
- MathWorld IDVectorSpace
- Metamath statement IDdf-lvec
- Microsoft Academic ID (discontinued)13336665
- NL CR AUT IDph156663
- NLab IDvector space
- Online PWN Encyclopedia ID3932830
- Open Library subject IDvector_spaces
- OpenAlex IDC13336665
- PlanetMath IDVectorSpace
- ProofWiki IDDefinition:Vector_Space
- Quora topic IDVector-Spaces
- SVKKL authority ID0212744-vektorove-prostory
- Treccani IDspazio-vettoriale
- Yale LUX IDconcept/16646429-0d01-4914-b644-a6a9904899ed