Convex

Disambiguation

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Convex may refer to:

• Convex set - you probably want this. For a vector space [ilmath](X,\mathbb{K})[/ilmath] a subset of [ilmath]X[/ilmath], say [ilmath]C\in\mathcal{P}(X)[/ilmath] is convex if
  • [ilmath]\forall x,y\in C\forall t\in[0,1]\subset\mathbb{R}[x+t(y-x)\in C][/ilmath] - the line between any two points in the set is also in the set
• Convex function - we call a function convex in this case
  • TODO: Expand once that definition is known a bit better!