Definition:Real Interval/Unit Interval

Definition
A unit interval is a real interval whose endpoints are $0$ and $1$:


 * $\left({0 \,.\,.\, 1}\right) := \left\{ {x \in \R: 0 < x < 1}\right\}$
 * $\left[{0 \,.\,.\, 1}\right) := \left\{ {x \in \R: 0 \le x < 1}\right\}$
 * $\left({0 \,.\,.\, 1}\right] := \left\{ {x \in \R: 0 < x \le 1}\right\}$
 * $\left[{0 \,.\,.\, 1}\right] := \left\{ {x \in \R: 0 \le x \le 1}\right\}$