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In one dimension, the interval [0,1] is the closed unit interval, the interval (0,1) is the open unit interval, and the intervals (0,1] and [0,1) are half-open unit intervals.

A point lattice which can be constructed from an arbitrary parallelogram of unit area. For any such planar lattice, the minimum distance c between any two points is a ...

The point in the plane with Cartesian coordinates (1, 1).

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 ...

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."

A universal sentence is a sentence (i.e., formula of the predicate calculus without free variables) whose variables are universally quantified.