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In the theory of transfinite ordinal numbers, 1. Every well ordered set has a unique ordinal number, 2. Every segment of ordinals (i.e., any set of ordinals arranged in ...

Regular expressions define formal languages as sets of strings over a finite alphabet. Let sigma denote a selected alphabet. Then emptyset is a regular expression that ...

An "area" which can be defined for every set--even those without a true geometric area--which is rigid and finitely additive.

A puzzle in logic in which one or more facts must be inferred from a set of given facts.

The process of taking the complement of a set or truth function. In the latter case, complementation is equivalent to the NOT operation.

S_n=sum_(i)eta_imu(E_i), where mu(E_i) is the measure of the set E_i of points on the x-axis for which f(x) approx eta_i.

An integer that is either 0 or positive, i.e., a member of the set Z^*={0} union Z^+, where Z-+ denotes the positive integers.

An integer that is either 0 or negative, i.e., a member of the set {0} union Z^-, where Z-- denotes the negative integers.

One out of a set of identical observations in a given experiment under identical conditions.

A transversal line is a line which intersects each of a given set of other lines. It is also called a semisecant.