This direct approach reduces considerably the necessary knowledge of uncertain technological input data, computing costs and the numerical error.
Approximating the optimism term makes it possible to considerably reduce the necessary number of simulations.
We strengthen considerably the known necessary conditions in this case, and provide new ones.
Nonetheless, a favourable molecular start configuration and orientation may considerably reduce the necessary simulation period.
This epidemiologically directed short-term prophylaxis of close contacts may require antiviral stockpiles considerably larger than necessary for therapeutically treating patients, but our model suggests that this investment may still prove cost-saving, providing that the outbreak dissemination patterns and population attributes correlate with those assumed by Longini et al. (Appendix).
The President's defeat was achieved by margins considerably greater than the necessary two-thirds: 313 to 83 in the House, and 78 to 21 in the Senate.
Amid such myriad uncertainties, all sorts of things could become necessary: targeting considerably higher inflation, targeting entirely different things, or printing money to help finance government or give shoppers something to spend with.
Although considerably more work is necessary to establish the clinical utility of this treatment, it appears to be a parsimonious and useful approach that may help to shed light on the active ingredients of the successful treatment of depression.
However, due to the brevity of her career and the lack of extant material, considerably more research is necessary to gauge her place as a regional filmmaker and a camerawoman in the history of American film and the history of the industry more broadly.
Often, the excitation energies are considerably higher than those necessary to lift electrons to a radiative level; for example, the luminescence produced by the phosphor crystals in television screens is excited by cathode-ray electrons with average energies of 25,000 electron volts.
