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What does convex mean?

Looking for the meaning or definition of the word convex? Here's what it means.

Adjective
  1. curved or bowed outward like the outside of a bowl or sphere or circle
  2. (mathematics) arranged such that for any two points in the set, a straight line between the two points is contained within the set.
  3. (polygon) having no internal angles greater than 180 degrees.
  4. (real-valued) having an epigraph which is a convex set.
Noun
  1. Any convex body or surface.
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