Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Vector
gptkb:mathematical_concept |
| gptkbp:addition |
vector addition
|
| gptkbp:basisFor |
set of linearly independent vectors
|
| gptkbp:canBe |
gptkb:Hilbert_space
gptkb:inner_product |
| gptkbp:dimensions |
can be finite or infinite
|
| gptkbp:field |
complex numbers
|
| gptkbp:generalizes |
real vector space
|
| gptkbp:hasAxiom |
associativity of addition
commutativity of addition existence of additive identity existence of additive inverse identity element of scalar multiplication distributivity of scalar multiplication with respect to vector addition compatibility of scalar multiplication with field multiplication distributivity of scalar multiplication with respect to field addition |
| gptkbp:scalar_multiplication |
defined over complex numbers
|
| gptkbp:used_in |
functional analysis
quantum mechanics linear algebra |
| gptkbp:bfsParent |
gptkb:Two-qubit_Hilbert_space
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
complex vector space
|