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What is a convex function?

What is a convex function? Here are some definitions.

Noun
  1. (computer science) A mathematical function where the line segment between any two points on the graph of the function lies above the graph in a vector space of at least two dimensions.
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Nearby Definitions
convexes
convexedness
convexedly
convexed
convex combinations
convex combination
convex functions
convex hull
convex hulls
convexification
convexifications
convexified
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