Definition
A real valued function f : X → R defined on a convex set X in a vector space is called convex if, for any two points and in X and any ,
The function is called strictly convex if
for every, and .
A function f is said to be (strictly) concave if −f is (strictly) convex.
Read more about this topic: Convex Function
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—The Columbia Encyclopedia, Fifth Edition, the first sentence of the article on life (based on wording in the First Edition, 1935)
“Im beginning to think that the proper definition of Man is an animal that writes letters.”
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