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A number theoretic function is a function whose domain is the set of positive integers.

"The reals" is a common way of referring to the set of real numbers and is commonly denoted R.

Let u^_ denote the mean of a set of quantities u_i, then the relative deviation is defined by (Deltau_i)/(u^_)=(|u_i-u^_|)/(u^_).

The set of "critical values" of a map u:R^n->R^n of map class C^1 has Lebesgue measure 0 in R^n.

For any two points x,y in X, there is an open set U such that x in U and y not in U or y in U and x not in U. A space fulfilling this axiom is called a T0-space.

A ring of fractions that coincides with the localization with respect to the set of all non-zero divisors.

The set of all centroid points in a weighted tree (Harary 1994, p. 36).

A tree having an infinite number of branches and whose nodes are sequences generated by a set of rules.

A totally disconnected space is a space in which all subsets with more than one element are disconnected. In particular, if it has more than one element, it is a disconnected ...

A partially ordered set P=(X,<=) is an interval order if it is isomorphic to some set of intervals on the real line ordered by left-to-right precedence. Formally, P is an ...