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Examples of propagation in homogeneous and inhomogeneous media, and scattering from a interface between two media are considered.
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An example of propagation of heading information between nodes is given in [8].
The second section of the paper is dedicated to application of this basic framework to analyze three critical examples of crack propagation including small cracks, propagation at low temperature and ultra-slow crack propagation at ultrasonic frequency.
Examples of two propagation paths that are often supported by this experiment can be seen in the azimuth-time-intensity (AzTI) plot, presented in Fig. 9, reproduced from Tsunoda et al. (2016a).
Observations by the Solar Magnetic Activity Research Telescope (SMART) suggest that the fast EUV wave is basically the same as a Moreton wave (i.e., MHD shock), whereas the slow EUV waves are examples of pattern propagation.
Examples of sound propagation over a screen in upwind and downwind refracting atmospheric conditions at low nodal spacings (0.2 per wavelength in the propagation direction) are also included to demonstrate the flexibility and efficiency of the method.
At the end of the paper, examples of wave propagation for a taut string, a one-dimensional rod and a membrane are presented to illustrate the robustness of the formulation presented here.
Numerical examples of fracture propagation under quasi-static load demonstrate that all of the methods can effectively improve the convergence of Newton's iteration for relatively small values of the regularization parameter but without compromising the accuracy of the numerical solution.
(b) An example of particle propagation in the knee angle displaying how propagated particles never fall out the legal ranges.
Table 1 Predictive coding: example of error propagation.
Figure 3 Example of forward propagation of Gaussian mixtures (with ) on a -state trellis.
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