Convex Functions
A convex function is any extended real-valued function which satisfies Jensen's inequality, i.e. for any and any then
- .
Equivalently, a convex function is any (extended) real valued function such that its epigraph
is a convex set.
Read more about this topic: Convex Analysis
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“The English masses are lovable: they are kind, decent, tolerant, practical and not stupid. The tragedy is that there are too many of them, and that they are aimless, having outgrown the servile functions for which they were encouraged to multiply. One day these huge crowds will have to seize power because there will be nothing else for them to do, and yet they neither demand power nor are ready to make use of it; they will learn only to be bored in a new way.”
—Cyril Connolly (1903–1974)