This improves on the previously best known method (Rockwood et al., 2004), replacing the linear running time dependence on the number of atoms by its logarithm.
Most of the available software for defining boundaries was developed for analyzing data from human spotted microarrays, and we encountered problems such as excessive setup and/or run time, dependence on genome annotation, input file format restrictions, and an inability to handle large data sets.
Iguarán, the energy expert, stressed Venezuela's long-running dependence on oil revenue to pay for importing basic goods.
Nor is there a chain of stepwise dependences running cause to effect, because there is no event intermediate between Suzy's throw and the shattering that links them up into a chain of dependences.
In this work, a probabilistic graphical model based approach is employed to learn the dependence by running a number of conditional independence tests using observation data.
Moreover, while the increase in the investment rate does not persist in the long run, the dependence of investments on cash flow remains negligible after receipt of the first public subsidy.
Third, recognizing that as children we are highly dependent on others both for our care and for the development of our epistemic skills, some feminist social epistemologists have argued that our epistemic dependence runs as deep as the conditions of epistemic agency itself.
The nature of this dependence runs deep, and may even be organic: "an ennobled manhood and the masculine virtues are generally the fruits of distinct national systems"; "the spirit of a people and their form of government are mostly reciprocal; …for the higher kind of human character, you are forced to seek an analogy of rule and system as its parent".
For the colorful variant, we demonstrate matching upper and lower bounds showing that the dependence of the running time on treewidth of G is tightly governed by μ(H), the maximum size of a minimal vertex separator in H.
In the simulations used to generate Figure 6, we assumed that the number of spikes fired per theta cycle does not vary with running speed, as such a dependence introduces an additional change of the decoded sequence path length with running speed.
While the U.S. needs to cease its reliance on carbon-based energy "in the long run," ending dependence on oil would not be an immediate possibility, Kerry said.
