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Possible effects of this rotational dependency on the fDTI results are expected to be very limited because deviations due to this dependency form a constant factor within a voxel over the subsequent rest and task conditions (assuming no gross subject motion).
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All measured values are multiplied by a constant factor, but remain within a reasonable range.
Even though the region inference methods described above search for the highest scoring genomic region/region pair, Dissect processes all regions whose scores are within a constant factor of the highest score (and within a user-defined maximum number of disjoint regions threshold).
This edge-congestion achieves constant ratio approximation if d>1/(1−α), and matches an existential lower bound within a constant factor if d≤1/(1−α).
Here we use coupling techniques to show that in certain ways the LCD model is not too far from a standard random graph; in particular, the fractions of vertices that must be retained under an optimal attack in order to keep a giant component are within a constant factor for the scale-free and classical models.
It follows that Balance is optimal within a constant factor.
An algorithm is called storage optimal if its working storage is within a constant factor of the memory required to specify a generic problem instance and its solution.
For triangles and many other graphs, we have upper and lower bounds that are the same to within a constant factor.
Furthermore, algorithms are provided which have running times within a constant factor of the lower bounds described.
In the plane, a geometric spanner is a graph such that, for each pair of vertices, the shortest path in the graph is within a constant factor of the straight-line Euclidean distance between the vertices.
We show that computing the optimal routing scheme to visit a specific set of nodes is NP-complete, but we develop approximation algorithms that produce plans with costs within a constant factor of the optimum.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com