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Shortest path matrix; w=@ole('w.xls');!
The acoustic path matrix is dependent on the head position.
The maximum Tstage is found from the longest path matrix G, which is 15.62.
Due to the stochastic nature of transportation systems, we propose a scenario based two stage stochastic programming framework which considers the uncertainty of the link-path matrix.
Betweenness centrality used path matrix P, which is defined as a |V| × |V| matrix with P ij entries being equal to the number of shortest paths between farmer i and j.
The topological information is stored in the all-shortest path matrix, which encodes the minimum topological distance between two atoms (vertices) by the shortest path using the bonds (edges).
The shortest-paths matrix is calculated via the Floyd-Warshall algorithm, with the undirected networks represented as sets of pairs of opposite directed edges.
The resulting path sets are stored in a path matrix, and the minimal weight between each node pair is stored in a distance matrix.
All-pairs shortest path matrices [ 21] were constructed for each pair of probes in the minimized gene signatures based on a unique PPI network data archived at UniHI for Affymetrix probes [ 22].
However, that the average lengths of shortest path matrices changed marginally, and that all 6 levels (from first to sixth) remain between probes of the minimized signatures and their input, suggesting that the topological properties of the PPI subsets consist of stable features, which are not changed by MFS (Additional file 10).
The theoretical advancements consist in two different paths: the matrix formalism method (MFM) and the network analogy method (NAM).
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