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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 graph in which individual nodes have no distinct identifications except through their interconnectivity. Graphs in which labels (which are most commonly numbers) are ...

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.

The upper-trimmed subsequence of x={x_n} is the sequence lambda(x) obtained by dropping the first occurrence of n for each n. If x is a fractal sequence, then lambda(x)=x.

A "visual representation" number which is a sum of some simple function of its digits. For example, 1233 = 12^2+33^2 (1) 2661653 = 1653^2-266^2 (2) 221859 = 22^3+18^3+59^3 ...