11. The unit interval is a subset of the real numbers \ mathbb { R }. 12. The invariant measure for " x " is the uniform density over the unit interval . 13. A point on the graph of ? has coordinates for some in the unit interval . 14. A linear function on the unit interval has no critical points; its bounds are extrema. 15. For one thing, does the arcsine distribution even integrate to one over the unit interval ? 16. They are also equidistributed over the unit interval . 17. Here is the construction : take the Cartesian product of a surface with the unit interval . 18. The degrees are assumed to be real numbers from the unit interval [ 0, 1 ]. 19. In this topology, a set U is a homeomorphic to the unit interval [ 0, 1 ]. 20. The inverse hyperbolic tangent has the unit interval for its range, and so the interval maps onto.