This paper examines properties and interrelations of several concepts of generalized concavity. It shows that the class of functions that are both 'generalized concave' and 'generalized convex' is ...

We compare and contrast concave and convex lenses by drawing ray diagrams. In this Closer Look segment on Lenses, we compare and contrast concave and convex lenses by drawing ray diagrams and ...

Let X₁, ..., X n be independent and identically distributed random vectors with a (Lebesgue) density f. We first prove that, with probability 1, there is a unique ...