The spatial distributions of atoms or molecules along direction z are found by ensemble averaging of trajectories followed by averaging with a localized function with a well defined length scale.
The spectacular effects observed during acoustic cavitation phenomena have been successfully employed for a number of applications on laboratory scale of operation but a well defined design and scale up methodology is lacking.
When the boundary obstructs the circulation, it decays exponentially with a well defined characteristic decay scale.
In comparison with the wet tropospheric parameter, the spatial characteristics of the tropospheric gradient parameter are less well defined within the scale of the GNSS network.
In order to understand this effect, we note that these cells have a well defined underlying time scale, determined by their oscillatory dynamics in the absence of coupling (also revealed in the transient dynamics of the noiseless system before clustering, see Fig. 4).
Acceptance with regard to hearing disability is not well defined, and this scale might only focus on certain components of acceptance (ie, psychological acceptance).
However, they did not consider to directly use the Δ-calculus theory on time scales to solve the almost periodic problems of differential equations on time scales since many time scales are not completely closed under translations, which will lead to the functions defined by translations being not well defined on time scales.
In the analytic rating scales used in this study, coherence is mentioned quite clearly as a defining property of organization; however, coherence is not well defined in the rating scales.
The physical characteristics of preferred ammocoete habitat are well defined at the sub-reach scale (< 50 m).
Interestingly, for many surfaces the roughness varies in a well defined way as the length scale is varied (so-called self afine surfaces).
