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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?

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

The ratio of two independent estimates of the variance of a normal distribution.

A grouping of statistics.

nu_((r))=sum_(x)x^((r))f(x), where x^((r))=x(x-1)...(x-r+1).

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

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

The order of a finite field is the number of elements it contains.

A flow line for a map on a vector field F is a path sigma(t) such that sigma^'(t)=F(sigma(t)).