Specifically, we also examined τ = 0, allowing the variability of the second stage effects to only depend on the variance-covariance matrix of the first stage coefficients, and also τ = 0.0001, corresponding to expectations that 95% of the % changes would fall within a 4-fold range.
The weather was drier and warmer, the overall seed yield of wild-type plants was lower and their mortality rates were higher – suggesting that the plants were under greater stress – during 2003 than during the cited study (2000 and 2001. Measurements on field-grown plants confirmed that the two genotypes had FDE levels corresponding to expectations based on their PsbS levels (data not shown).
With the exception of Lebanon and Israel where the moth settled and expanded only recently (see below), our results show contrasting patterns of evolution during the Quaternary in the different regions of the moth's distribution range, corresponding to our expectations.
Apart from the case of Sciadia and Elophos (see above), there are three relatively young species pairs that ordinarily show clear genetic divergence, but where some specimens appear to have 'the wrong' mitochondrial genotype, not corresponding to the expectation from their morphological identification.
As these trusts became huge, it was inevitable that laws would be passed requiring them to use their wealth "more or less corresponding to the evolving expectations of American civilisation".
On the basis of the confidence interval limits, patients were classified into three groups: patients with a PaO2/FIO2 ratio >241, corresponding to a high expectation of survival (Group 1); patients with a PaO2/FIO2 ratio between 202 and 241, corresponding to an inconclusive outcome (Group 2); and patients with a PaO2/FIO2 ratio <202, corresponding to low expectation of survival (Group 3).
Next, we introduce the capacities corresponding to the sub-linear expectations.
The technique of weighing evidence from a variety of comparative genomics approaches against expectations corresponding to different biological grammars, rather than considering homology alone, can provide an opportunity to learn more about novel, uncharacterized systems in silico and to provide more concrete and detailed hypotheses of processes and functions.
It has several passages of hushed expectation, corresponding to the favorite Rossinian device of the "frozen moment," in which all the characters onstage pronounce themselves dumbfounded by some uncanny apparition or revelation.
We denote a pair of capacities corresponding to the sub-linear expectation (widetilde {mathbb E}) by (left (widetilde {mathbb {V}},widetilde {mathcal {V}}right)), and the extension of (widetilde {mathbb E}) by (widetilde {mathbb {E}}^{ast }).
Given the very high dimensionality of the VBM output (thousands of voxels, or features, for each subject, each one corresponding to one dimension) and the expectation that only a few of these features would be meaningful for prediction, we applied a further feature selection step [36].
