These metrics vary along three lines: (i) All versus Top denotes whether all satisfied paths or only the top-ranked paths are used to calculate change in connectivity.
In addition, the pathways can be used to identify other proteins (not TFs) that are involved in many high-weight satisfied paths and therefore important to the response.
Evaluating the objective function requires summing the weights of all satisfied paths, and for every potential edge flip that is considered during greedy local search we must determine which paths are still satisfied.
Also recently, Gitter et al. [ 10] considered graph orientation with the objective of maximizing the weight of all satisfied paths between sources and targets with length at most some constant k.
Remark 2 We note that if condition (H1) is satisfied, then the sample path solution of the initial value problem for the impulsive equation with impulses at random moments (2) exists for all t > t 0, t 0 ≥ T 0 provided that the times between two consecutive impulses t k are such that ∑ t k = ∞.
Research in gender studies is beginning to reveal that men resist forming long-term emotional relationships until they become financially successful or feel satisfied with their career paths.
When a case is being classified by an RDR knowledge base, the case filters down (ripples down) to a leaf node l, if the condition of l is satisfied the conclusion of l is taken; otherwise, the conclusion of the last satisfied rule s on the path to l.
However, we can choose any other route to Node 1 for routing packets destined to nodes that are children of Node 1 in the original routing tree, as long as the non-decreasing edge weight path property is satisfied end to end.
To find the optimal orientation SDREM maximizes the following combinatorial function: (1) where P is the set of all unique depth-bounded paths between sources and TFs, is an indicator function that has the value 1 if path p is satisfied and w(p) is the path weight.
The options are "Not satisfied at all," "Not satisfied," "Slightly satisfied," "Moderately satisfied," and "Extremely satisfied".
