Group-averaged tractography has the advantage of providing a smooth and continuous trajectory representing the "central" location of the white matter pathways within the group, from which we can derive assumptions about the connections of the cortical eye fields within the general population.
Furthermore, the available physiological studies on marine aerobic anoxygenic photosynthetic bacteria are restricted to isolates belonging to distinct clades of the Alphaproteobacteria [for review see 7], so that the derived assumptions may be biased.
Moreover, we favored multialgorithm approaches (and combinations of them), because we feel that getting converging results from several different methods makes the derived assumptions stronger, strengthening the results.
The model is able to provide this description because of simplifying assumptions embedded in its rules [ 10], which derive from assumptions of modularity.
It is an easy task to derive the assumptions of Corollary 2.3 for the above function from the assumptions of Theorem 2.1.
Along the same line, one can derive the assumptions of Theorem 3.2 and 3.3.
Also, one can easily derive the assumptions of Theorems 3.2 and 3.3.
"It can be difficult to derive any assumptions about market conditions from the year-over-year numbers," she says.
The following theorem shows that the asymptotic estimate (2.9) can be also derived if assumption (2.8) fails to hold.
This result is directly derived from assumption (A3), the property of the sectorial operators (mathcal{J}_{epsilon}) and N̂, Lemma 2.3, and Lemma 2.8.
