An important question is to characterize, for a given, the class of bounded operators on, such that still belongs to.
It characterizes for any given movement dynamics (such as random walks) the average number of nodes that can be reached in exactly h steps (out-accessibility), or the average number of nodes from which a given node can be reached (in-accessibility).
Proposition 2 characterizes, for a given size of the buyer group, payoffs of customers inside and outside the group.
When a symmetry classification includes all the necessary properties for characterizing a given type of physical object (for example, all necessary quantum numbers for characterizing a given type of particle), we have the possibility of defining types of entities on the basis of their transformation properties.
Another possibility is illustrated by considering a mixture of small and large proteins that have the same HFEs and are competing for the same compartment characterized by a given level of hydrophilicity.
It is conceivable that the locations that are registered by contour filters provide the information that is most essential for characterizing a given shape.
First, we characterized, for proteins with a given structure, how their functions were distributed across sequence space.
An earlier in-depth study of variance suggested that connection strengths are as variable as a geometric distribution and might require the analysis of 10 20 injections to adequately characterize the profile for a given area (Scannell et al. 2000).
Table 1 Relative area (in percentage) between consecutive genus trace plots, characterizing a given base pair type, for a few RNA structures.
Their average value, r d = < C i,i+d >, thus characterizes the mean correlation for a given degree of dissimilarity, and the decay of r d as a function of d characterizes the decay of correlations as a function of the difference between track geometries.
