On the decay of correlation for piecewise linear transformations: Makoto Mori, Defense Academy, Yokosuka, Japandoi:10.1016/0304-4149(85)90317-5SDOSStochastic Processes & Their Applications
The equation is solved using a central difference scheme in space about the midpoints between wave measurements, which follows closely the method of Dally and Brown [1995]. Here, we convert the modeled roller areas to roller lengths using Lr = cos θ (equation (2)) and the model ...
was fitted with the general expression given by Fm ¼ ðl=2Þg ½cosðy À ðDy=2ÞÞ À cosðy þ ðDy=2ÞÞ, where the length of the three-phase boundary line l is a function of normal force and is calculated from the Young À Laplace equation24,...
Generally, for both sub-clusters the overlapping of seismic sources is relatively low suggesting that the neighbouring earthquakes occurred mainly as a result of the piecewise rupturing of the fault segment releasing the accumulated stress stepwise rather than due to the fault creep, which theoretically...
Equation2states that the GDP loss caused by changing the length of lockdown by some amount (either 3, 7 or 12 days; denoted\(i\)), in country\(j\), is calculated as the relative change in lockdown length, multiplied by the predicted change in GDP as forecast by the IMF, and the ...
with \({P}_{\rm {{t}}}\) being the total pressure, the compressible equation of the perpendicular fluctuating Elsässer variable \({{{\rm{\delta }}}{{{\bf{Z}}}_{\perp }^{-}\) (see Supplementary Methods) yields: $$\frac{\partial {{{\rm{\delta }}}{{{\bf{Z}}}_{\perp...
This caused a wrong pressure calculation for equation of states 2, 3, and 14, which use the element volume in the denominator of the pressure calulation. It also caused the mass scaling calculation to use 2x the added mass that was needed for effective mass scaling. Fix mass scaling of ...
(7). Equation (4) is modified to calculate the overall path penalty \(p^T\) in the grid-based environment as shown in Eq. (8), where the cost is not refereed to the obstacles because it is obtained directly from the grid. During the practical validation, the LiDAR sensor collects ...
The structure of the piecewise constant switching functions induces an explicit decomposition of parameter space into a finite number of regions defined by sets of inequality relationships among parameters. Each region is represented as a node in the parameter graph, and two nodes are adjacent if ...
The exact parametric representation of these is provided in [1]; note that the scaling U(x,t)=−32u(x,−t) transforms (1) into the equation analyzed in [1].References [1] A. Chen, J. Li, X. Deng, W. Huang Travelling wave solutions of the Fornberg–Whitham equation Appl. ...