We also compute bounds on trace (etΔD) where ΔD is the Dirichlet Laplacian for (i) a bounded region D in Rn with smooth boundary or (ii) an unbounded region D in R2 with finite area.
The results obtained for several trails and large unbounded plots draining residential areas at two locations were less extreme (runoff coefficients of 24 43%; soil loss 1.3 3.5 kg m− 2 yr− 1).
The dissipated energy increased with the number of cycles and fatigue stress level due to more friction in the area of the unbounded regions; the magnitude of the total energy dissipation (TDE) however significantly decreased as the fatigue stress level increased.
You find bare areas of colour, unbounded by lines.
This paper presents runoff and sediment yield data for a cobbled and an unpaved road section, two large unbounded settlement plots, and several trails draining residential areas or terraced fields in a volcanic upland catchment in East Java.
To do that, Oculus Rift will need developers to create those "unbounded spaces and experiences", with Linden Lab having more experience than most in the area.
Chemical engineering is a rich area when comes to nonlinear systems of equations, possibly with multiple solutions, (unbounded) discontinuities, or functions which become undefined in terms of real values.
The presented heterogeneous process of singlet oxygen photogeneration is believed to extend the area of applications of that highly oxidative reactant as compared to known homogeneous systems employing unbounded active species.
Furthermore, these conditions are satisfied for unbounded domains with cusps (exits to infinity) provided these cusps are thin enough (basically having finite volume and area of the boundary).
The downstream end of the study area is bounded by a small waterfall (1-m tall, passable by fish), and the upstream end is unbounded for several km.
