Jung's theorem

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo gptkb:Euclidean_space
convex geometry
gptkbp:field gptkb:geometry
gptkbp:generalizes circle enclosing a planar set
https://www.w3.org/2000/01/rdf-schema#label Jung's theorem
gptkbp:namedAfter gptkb:Heinrich_Jung
gptkbp:relatedTo diameter of a set
minimal enclosing ball
gptkbp:sentence Every bounded subset of n-dimensional Euclidean space can be enclosed in a closed n-dimensional ball whose radius is at most sqrt(n/(2(n+1))) times the diameter of the set.
gptkbp:yearProposed 1901
gptkbp:bfsParent gptkb:Abhyankar–Moh_theorem
gptkbp:bfsLayer 7