| 31. | Saying 10 unit intervals ( or 10 UI ), actually means 10 times the definite predetermined time called " UI ".
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| 32. | The Hilbert cube is homeomorphic to the product of countably infinitely many copies of the unit interval [ 0, 1 ].
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| 33. | *The classical Wiener space " C " 0 of unit interval [ 0, 1 ] has another integration by parts operator.
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| 34. | Wiener's original construction only applied to the space of real-valued continuous paths on the unit interval, known as classical Wiener space.
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| 35. | For example, an idealized vibrating string can be modelled as the graph of a function on the unit interval, with fixed ends.
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| 36. | Formally, the circle is the quotient space of the unit interval obtained by setting the endpoints of the interval to be equivalent.
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| 37. | :You have attempted to conquer the problem that the edges may have indefinite length by definining a transformation to the unit interval.
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| 38. | Another generalization was given by Kleiber and Pervin ( 1969 ) : a metric space of product of copies of the unit interval.
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| 39. | For any set X, a membership function on X is any function from X to the real unit interval [ 0, 1 ].
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| 40. | The \ sup and \ inf respectively take the supremum and infimum over pdf's on the unit interval ( actually Borel probability measures ).
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