Definitions from Wiktionary (convex)

▸ adjective:  Curved or bowed outward like the outside of a bowl, circle, or sphere.
▸ adjective:  (functional analysis, not comparable, of a real-valued function on the reals) having an epigraph that is a convex set.
▸ adjective:  (geometry, not comparable, of a polygon) having no internal angles greater than 180 degrees.
▸ adjective:  (mathematics, not comparable, of a set in Euclidean space) arranged such that for any two points in the set, a straight line between the two points is contained within the set.
▸ noun:  Any convex body or surface.
▸ noun:  (gambling) A playing card made convex for use in cheating.
▸ noun:  (gambling) A small convex mirror used to cheat by observing other players' cards.
▸ verb:  (intransitive) To form a convex curve or surface; to become convex.
▸ verb:  (transitive) To cause to form a convex curve or surface; to make convex.
▸ verb:  (ambitransitive) To circulate or cause to circulate in a curved path; to cause or exhibit convection.

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