RANDOM PACKING DENSITY.
STANFORD UNIV CALIF DEPT OF STATISTICS
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Random packing of spheres in two-dimensional, threedimensional and higher spaces is investigated. In onedimension this reduces to the parking problem which has been studied by several authors. Some restricted random packing is analyzed in one, two, and three dimensions. The latter case is of interest in physical chemistry in connection with loose and dense random packing. Extensions of these concepts to lower dimensions yields some theoretical values of interest in a one-dimensional modified parking problem. Some applications of random packing are discussed. Author