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For c<1, x^c<1+c(x-1). For c>1, x^c>1+c(x-1).

Given a subspace A of a space X and a map from A to a space Y, is it possible to extend that map to a map from X to Y?

The radius of the smallest circle centered at one of the points of an N-cluster, which contains all the points in the N-cluster.

That portion of a region lying "outside" a specified boundary.

A field of extremals is a plane region which is simply connected by a one-parameter family of extremals. The concept was invented by Weierstrass.

There are essentially three types of Fisher-Tippett extreme value distributions. The most common is the type I distribution, which are sometimes referred to as Gumbel types ...

The point of coincidence of P and P^' in Fagnano's theorem.

A tree spread in which each node has a finite number of children.

The three diagonal points of a complete quadrilateral are never collinear.

A fiber space, depending on context, means either a fiber bundle or a fibration.