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A sphere of radius 1.

A square with side lengths 1. The unit square usually means the one with coordinates (0, 0), (1, 0), (1, 1), (0, 1) in the real plane, or 0, 1, 1+i, and i in the complex ...

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.

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 ...

Involving one variable, as opposed to two (bivariate) or many (multivariate).

If the property of being an object is expressed by a basic predicate of the system, then such a predicate (if it exists) is called a universal predicate, or universal ...

A property of individuals which is shared by every individual.

The quantifier "for all" ( forall ), sometimes also known as the "general quantifier."