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A Random Number which lies within a specified range (which can, without loss of generality, be taken as [0, 1]), with a Uniform Distribution.
References
Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T.  ``Uniform Deviates.''  §7.1 in
  Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed.  Cambridge, England:
  Cambridge University Press, pp. 267-277, 1992.