Furthermore, different types of additional dampers added on the SSSM system will introduce extra mechanical nonlinearities in manners very different from each other.
The kinematic nonlinearities are treated in a rigorous manner for all elements, and the material nonlinearities can be handled when the constitutive laws stem from the existence of a strain energy density function.
Lines formed by the control points along sagittal planes, which were distorted in a bow-like manner by gradient nonlinearities in the uncorrected MR data (max. deviation: about 3 mm), are straightened after correction (Figure 1).
Thus for the first time, at least for small values of n, the upper bound on nonlinearity can be reached in a deterministic manner in difference to some heuristic search methods proposed previously.
This equation is then split in such a manner that the Burgers type nonlinearity can be treated as a position-dependent but linear advection.
We also provide an alternative formulation of smoothing where the neural nonlinearities are estimated in a non-parametric manner.
Intuition is an abstract entity that does not necessarily have to be transcribed in a linear manner, and it is clear that nonlinearity is omnipresent in the processes of Nature.
These nonlinear systems have a linear-in-parameter structure, and the nonlinearity is assumed to be bounded in a Lipschitz-like manner.
The behavior of an NDL, and its degree of nonlinearity, is controlled by a single parameter in a manner that enables significantly better overall suppression of the noise-containing impulsive components compared to the respective linear filter.
Transitions between THz ON and OFF exposure states change the resistance values in a manner that can be explained by bolometric and nonlinearity effects for both monolayer and bilayer devices.
