Sentence examples for evaluated explicitly for from inspiring English sources

A general closed form expression is then derived for the localization factor of a weakly disordered undamped system; this expression is evaluated explicitly for the case of either bay length disorder or disorder in the inter-bay junction properties.

Because none of these systems have been evaluated explicitly for their relationships to spatial cognition, the shades of blue highlight the aspects of spatial cognition a system is most likely to engage and how directly.

Rarity is a clear and important concept highly relevant for conservation; it should therefore be evaluated explicitly and independently of its confounding effects on a network pattern (Blüthgen et al. 2008; Dorado et al. 2011).

We emphasize that the formulation at hand requires no time-integration for computing the damage state, that can be evaluated explicitly.

However, population-level effects of atrazine have not been empirically tested for in nature and thus need to be evaluated explicitly.

The transfer matrix can be evaluated explicitly.

Their use during these meetings was not evaluated explicitly.

can be evaluated explicitly in terms of divisor functions and a combinatorial convolution sum.

This study also showed that most audit studies are yet to be evaluated explicitly.

end{aligned} (1.9)The left side of (1.9) provides a lower bound for (log (mathrm{Tr}[e^{ H+ log W}])) in terms of a Legendre transform, which, unfortunately, cannot be evaluated explicitly.

Hypothesis tests based on mitochondrial [ 4] and nuclear loci (this study), which explicitly evaluated support for a mimetic clade within L. arthemis, rejected the hypothesis that L. a. astyanax and L. a. arizonensis are sister taxa [ 17] and found support only for a phylogeny consistent with the reversion hypothesis (figure 1a).