unit interval in a sentence

Examples

1. Saying 10 unit intervals ( or 10 UI ), actually means 10 times the definite predetermined time called " UI ".
2. The Hilbert cube is homeomorphic to the product of countably infinitely many copies of the unit interval [ 0, 1 ].
3. *The classical Wiener space " C " 0 of unit interval [ 0, 1 ] has another integration by parts operator.
4. Wiener's original construction only applied to the space of real-valued continuous paths on the unit interval, known as classical Wiener space.
5. For example, an idealized vibrating string can be modelled as the graph of a function on the unit interval, with fixed ends.
6. Formally, the circle is the quotient space of the unit interval obtained by setting the endpoints of the interval to be equivalent.
7. :You have attempted to conquer the problem that the edges may have indefinite length by definining a transformation to the unit interval.
8. Another generalization was given by Kleiber and Pervin ( 1969 ) : a metric space of product of copies of the unit interval.
9. For any set X, a membership function on X is any function from X to the real unit interval [ 0, 1 ].
10. The \ sup and \ inf respectively take the supremum and infimum over pdf's on the unit interval ( actually Borel probability measures ).