Neighborhood alignment is performed by adding piece-wise smooth regularization constraints to an energy function.
In the case of the regularisation term, this means that the solution is piece-wise smooth [16, 17].
In this paper, we investigate a nonlinear extended state observer (ESO) constructed from piece-wise smooth functions consisted of linear and fractional power functions.
Fang and Zhang [2] proved the global existence of weak solutions to the compressible Navier-Stokes equations when the initial density is a piece-wise smooth function, having only a finite number of jump discontinuities.
Let the body occupy, at time t = 0, a properly regular region B of the three-dimensional Euclidian space, bounded by the piece-wise smooth surface ∂B; and we denote the closure of B by B ¯.
We say that (x=x tau )) is a forward time-like ray in (D_0times mathbb {R}) if (x=x tau )) is piece-wise smooth, (G(x tau ),frac{d x tau )}{dtau })>0) and (frac{d x_0}{dtau }>0, 0le tau ).
The probabilistic output is then time-wise smoothed with a moving average filter.
In present "Triprism" element, shape functions are given explicitly, and a cell-wise gradient smoothing operation is used to obtain the gradient matrices without evaluating derivatives of shape functions.
We speculate that this is due to the gene-wise dispersion smoothing implemented in edgeR.
According to PlayStation Universe's Mike Harradence, "we've seen Kennedy transition from likeable, wet-behind-the-ears love-sick puppy to a wise-cracking, super smooth government agent".
One wise choice: the meltingly smooth stuffed avocado with piquant vinaigrette, followed by a rustic wild mushroom ragout with Caribbean beans.
