packing dimensions 
The Hausdorff and packing dimensions of the range BH ([0, 1]N), the


The Hausdorff and packing dimensions for a class of Moran sets are obtained.


The relevance of instrumental parameters and of column and packing dimensions, upon the potential for improved performance is discussed.


Under certain conditions, we investigate the fractal dimensions of the graphs of these functions, compute the precise values of Box and Packing dimensions, and evaluate the Hausdorff dimension.


We also compute several fractal dimensions of Lévy trees, including Hausdorff and packing dimensions, in terms of lower and upper indices for the branching mechanism function ψ which characterizes the distribution of the tree.


Box and Packing Dimensions of Typical Compact Sets


We relate the pressure of an interaction function Φ to its longterm time averages through the Hausdorff and packing dimensions of the subsets on which Φ has prescribed longterm timeaverage values.


We prove that the boxcounting and packing dimensions of these random fractals, K, equals α, their almost sure Hausdorff dimension.


It is shown that the Hausdorff and packing dimensions of the image of an interval equal 0 almost surely.


In the following, we determine the Hausdorff and packing dimensions of Mk.


In this section, we determine the Hausdorff and packing dimensions of the sets of double times of the random string.


The following theorem gives the Hausdorff and packing dimensions of the Type I double times of a random string.


The packing dimensions turn out to be exactly of the scale at which DNA can be considered a mechanically stiff rod.


We also consider the Hausdorff and packing dimensions of the range and graph of the string.

