By applying the Rayleigh-Ritz formula (43) it is difficult to explicitly compute the principal eigenvalues.
He also further developed his notion of incommensurability, claiming that it involves major conceptual changes of both 'overt' and 'covert classifications' (in Whorff's sense), so that incommensurability is difficult to explicitly define, and can only be shown (1975, 224 225).
Though this method was shown successful in applications such as action recognition [26] and shape clustering [30], it is difficult to explicitly separate the identity and view factors during shape deformation as is necessary in the context of ATR applications.
Because PROGRESS was an observational study, it is difficult to explicitly determine to what extent the observed geographic variations in mortality resulted from the differences in baseline characteristics of the patients entered, differences in therapies patients received, genetic components, or other unrecorded factors.
Though it is difficult to explicitly show the genetic benefits of polyandry (e.g. [ 38, 39, 49]), a relationship between relatedness and siring success indicates that genetic identity is important in determining reproductive success in multiply-sired broods, potentially driving the evolution of polyandry in P. elegans.
"A credible big-bank resolution process that imposes creditor losses will be difficult to enforce, especially when regulators are explicitly directed to mitigate disruptions to the financial system, as they are in the proposed reform bill.
However, although evaluation studies may provide valuable information, without explicitly examining design issues, it will be difficult to isolate the influence of specific design choices on P4P performance.
Fast-Track explicitly recognizes that these ambitious targets will be difficult to hit, especially given funding limitations, but contends they have an inherent value.
Epistemic uncertainties can be difficult to characterize due to simplifications in geometric and material field properties, and as such are rarely taken into account explicitly in reliability analysis.
Equation (4) is difficult to define explicitly in terms of load demand variables.
