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(3.2) Since (p-1>1), relationships of the gradient modulus of an element from (3.2) indicate that (u^) becomes steep if (w_{0}) is gentle, and, conversely, (u^) has small steepness if the gradient of (w_{0}) is large.
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The numerical results also indicate that breaking occurs later and the duration of breaking is shorter for waves of smaller steepness and vice versa.
Therefore, the energetic costs for increasing the concentration of InSb above the equilibrium limit per InSb molecules should also be comparably lowered (also shown by the smaller steepness of the liquidus line).
The resulting new equations correctly describe the free surface boundary conditions by representing the fully nonlinear wave current interactions, removing the limitation to the small wave steepness of the existing formulations in literature.
Compared with the two-dimensional experiment, it is noted that due to directional wave wave interaction, breaking events could occur with smaller initial steepness and, more interestingly, with lower energy dissipation.
If you've ever visited a medieval winding tower or a tall fire tower, you will probably know that some staircases instill fear simply by their sheer steepness, small width of step or open view to the long drop below.
As can be seen, larger wave steepness will generally cause smaller air gap in the same wave period, which indicates nonlinear effects of incoming wave can amplify wave elevation.
We also found that, in a subset of catchments for which LiDAR data were available, total curvature explained channel head location across the range of fire severity, with a small but significant contribution from source area steepness.
Due to the steepness of the terrain, the relatively small amount of land suitable for farming, the inadequate water supply and generally low yields, there will never be large quantities of wine from the West Sonoma Coast.
Because of the steepness of the response curve at low contrast, a small stimulus increment Δ1 (shift along the x-axis) produces a change in response large enough to be perceptible in a discrimination task.
In contrast, the Hill coefficients, capturing the steepness of response to tetracycline, were smaller for susceptible strains than resistant strains (P < 0.00001; Fig. 3c), showing that the susceptible strains were more affected by low concentrations of drugs than resistant ones.
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