Firstly, signals are mixed with abnormal events [6], that is, discontinuous component contained in signals [7], pulse interference and noise.
The absence of discontinuous component input to UPFC controller avoids the chattering effect on state variables, especially on the dc capacitor voltage of inverters.
A sufficiently accurate representation of the filtered nonlinear combination of discontinuous solution components which arise from the convection term can be obtained by a regularized deconvolution applied to the filtered solution.
The derivative across the boundary is discontinuous since a component of the gradient is set to zero as described above.
It is, among other things, shown that for cases in which a field component is discontinuous along a grid line, as happens at general two- and three-dimensional material interfaces, the Yee scheme may exhibit local divergence and loss of global convergence.
For example, one could use the model to predict the potential mortality and length of stay effect (and therefore effect size for a sample size calculation) of therapies designed to improve the function of various organs by simulating the effect of a discontinuous improvement in some component of the SOFA score.
Rigorous treatment of material discontinuities implies that the normal component of the flux is continuous across such discontinuities while the parallel components may be either continuous or discontinuous in accordance with the exact solution to the problem being considered.
Here, u,v, and w are respectively the discontinuous, piecewise smooth, and noise components.
Here, u,v, and w are taken as discontinuous, piecewise smooth, and noise components, respectively.
Moreover, the empirical studies demonstrate that discontinuous or jumps are vital components for analyzing financial data (see [13 19]).
