Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Vector
gptkb:mathematical_concept |
| gptkbp:application |
gptkb:algebraic_geometry
numerical analysis partial differential equations approximation theory |
| gptkbp:basisFor |
set of monomials
|
| gptkbp:canonicalBasis |
{1, x, x^2, x^3, ...}
|
| gptkbp:containsElement |
polynomials
|
| gptkbp:definedIn |
gptkb:Field
|
| gptkbp:dimensions |
infinite (for all polynomials)
n+1 (for polynomials of degree at most n) |
| gptkbp:example |
space of complex polynomials
space of polynomials over finite field space of real polynomials |
| gptkbp:finiteDimensionalSubspace |
polynomials of degree at most n
|
| https://www.w3.org/2000/01/rdf-schema#label |
Vector Space of Polynomials
|
| gptkbp:notation |
F[x]
P(F) |
| gptkbp:operator |
addition
scalar multiplication |
| gptkbp:property |
closed under addition
closed under scalar multiplication contains zero polynomial |
| gptkbp:relatedTo |
linear algebra
ring of polynomials |
| gptkbp:subspaceOf |
vector space of all functions from F to F
|
| gptkbp:bfsParent |
gptkb:Polynomial_Functions
|
| gptkbp:bfsLayer |
7
|