Affine set

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:contrastsWith gptkb:Convex_set
gptkb:Linear_subspace
gptkbp:definedIn A subset of a vector space closed under affine combinations
gptkbp:example A line in R^n not passing through the origin
A plane in R^3 not passing through the origin
gptkbp:field gptkb:geometry
gptkb:Linear_algebra
https://www.w3.org/2000/01/rdf-schema#label Affine set
gptkbp:property Contains all affine combinations of its points
Intersection of affine sets is an affine set
Every affine set is a translation of a linear subspace
gptkbp:relatedTo gptkb:Affine_space
Affine combination
gptkbp:used_in gptkb:Mathematical_analysis
Optimization
gptkbp:bfsParent gptkb:Convex_set
gptkbp:bfsLayer 7