The hypothesis is that at a sufficiently small scale, which is currently beyond our observational and experimental reach, (apparent) continuity gives way to discreteness.
However, Toronto's FSAs are of a sufficiently small scale to highlight and delimit neighbourhoods with distinct spatial characteristics, and we also accounted for this issue by using the "zone of indifference" conceptualization parameter.
We show that the (almost) global stability of the attitude equilibrium granted by the theory for sufficiently small scaling is lost at larger gains.
On sufficiently small scales of space and time, flow in such media will be subject to approximate capillary equilibrium locally, which provides a basis for approximating the effective hydraulic conductivity of a composite multi-layer medium in terms of the conductivities of the individual layers.
The numerical results show that the Petschek type reconnection is realized for the sufficiently small length scale andlarge time scale of the local resistivity, and a moderate local Reynolds number.
Finally, we recommend that a useful validation would be to measure the association between the Index of Rural Access scores and age-sex standardised service utilisation rates, which in Australia is not currently possible because of limited access to such data at a sufficiently small spatial scale.
At large spatial scales, advection dominates diffusion on short time scales (<10 years), though at sufficiently small spatial scales, diffusion does become important again.
Therefore, interference mitigation techniques must be sufficiently dynamic and operate on a sufficiently small time-scale to ensure that the fluctuations in the interference are captured.
We establish the existence of parameter dependence of roughness for the general exponential dichotomy on time scales under sufficiently small linear perturbation.
Moreover, we also discuss parameter dependence of roughness for the general exponential dichotomy on time scales under sufficiently small linear perturbation.
Figure 8, showing the same as Fig. 7 but after applying Gaussian smoothing with 625 km radius, illustrates that this smoothing radius is sufficiently small to allow some smaller-scale features of the Swarm models to appear.
