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An infinite set, such as the real numbers, which is not countably infinite.

A game in which a certain player can always win when he plays properly. All categorical games are unfair (Steinhaus 1999, p. 16), as is the game of Marienbad.

A group whose left Haar measure equals its right Haar measure.

A union-closed set is a nonempty finite collection of distinct nonempty finite sets which is closed under union.

An operator U satisfying U^|U = 1 (1) UU^| = 1, (2) where U^| is the adjoint.

The unitary group U_n(q) is the set of n×n unitary matrices.

A multiplicative character is called unitary if it has absolute value 1 everywhere.

The number 1. There are n nth roots of unity, known as the de Moivre numbers.

A function or transformation f in which f(z) does not overlap z. In modular function theory, a function is called univalent on a subgroup G if it is automorphic under G and ...

A position in a game is unsafe for player A if the person who plays next (player B) can win. Every unsafe position can be made safe by at least one move.