Convex vs Bornological - What's the difference?
convex | bornological |
curved or bowed outward like the outside of a bowl or sphere or circle
* Whewell
(mathematics, not comparable, of a set) arranged such that for any two points in the set, a straight line between the two points is contained within the set.
(geometry, not comparable, of a polygon) having no internal angles greater than 180 degrees.
(functional analysis, not comparable, of a real-valued function on the reals) having an epigraph which is a convex set.
Any convex body or surface.
* Tickell
(mathematics) Describing a form of locally convex space which, in some sense, possesses the minimum amount of structure needed to address questions of boundedness of sets and functions.
As adjectives the difference between convex and bornological
is that convex is curved or bowed outward like the outside of a bowl or sphere or circle while bornological is (mathematics) describing a form of locally convex space which, in some sense, possesses the minimum amount of structure needed to address questions of boundedness of sets and functions.As a noun convex
is any convex body or surface.convex
English
Adjective
(en adjective)- Drops of water naturally form themselves into figures with a convex surface.
Antonyms
* concaveDerived terms
* convex combination * convex setNoun
(es)- Half heaven's convex glitters with the flame.