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Weak scenario: He gets shut out.
Weak scenario: He finishes dead last in either Minnesota or Colorado, while Mr. Santorum has a strong evening.
Weak scenario: He finishes out of the running and worse than his polling in both Colorado and Minnesota, calling into question whether he has an advantage in the caucus states at all.
The Santorini 'Weak' scenario accounts for this using the scaling relationship of Woodhouse et al. (2013) with the scenario column heights and wind shear calculated from averaged reanalysis data, which results in an order of magnitude increase in mass flux (Table 3).
Similarly, when we test our method with a weak scenario, 2-fold, our method has low power (our unpublished data).
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To simulate the effect of particle aggregation on ash dispersal and deposit loading on the ground, we investigate a further variant of both the 'Santorini Strong' and 'Weak' scenarios.
The total time and the total mass fraction of erupted ash has been calculated for the baseline Santorini Strong and Weak scenarios (Table 4), given the calculated mass fluxes and an estimate of total erupted volume from historical eruptions at Santorini.
Le Blanc boasted that, at the end of 2007, when most forecasters were predicting continued growth, Barclays was already planning for a downturn based on its reckoning that rising property prices and high corporate and personal borrowings meant "we should prepare for a much weaker scenario" in the future.
Even though we're not officially issuing forecasts for these states, we can apply the same technique that we have in the past and consider stronger and weaker scenarios for each candidate.
Scenario 2 is a weak interference scenario whose system channel matrix (mathbf {F}in mathbb {R}^{2times 2tises 2}) is as follows: mathbf{F}_{cdotcdot}^{1}=left[ begin{array}{cc} 0.7 & textbf{0.03} textbf{0.03} & 0.5 end{array} right], mathbf{F}_{cdotcdot}^{2}=left[ begin{array}{cc} 0.9 & textbf{0.05} textbf{0.05} & 0.8 end{array} right].
On the other hand, Fig. 4 b presents the scenario when a weak coverage fault is affecting cells 10, 11, and 12.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com