Using the statistical characteristics is one of the methods to justify the random nature of the ocean waves. Probability function are used to facilitate the studies of the random waves parameters, such as the surface and height and period of the waves. Since, the force of the ocean waves are the prevalent principal forces on the offshore structures, the assignment of the significant structural ...

848 NOTICES OF THE AMS VOLUME 42, NUMBER 8 T his essay aims to give a brief and informal survey of recent work on Anderson localization. In this subject the problems are easy to state, and most of them are open. Throughout history mathematicians have had considerable experience of waves: the electromagnetic waves with which we see the world, the sound waves with which we hear language and music...

Abstract We investigate the small-scale equidistribution properties of random waves, u , in R n . Numerical evidence suggests that such objects display a fine scale filament s...

A-interrupted alpha: the normal waking 10.per-second rhythm dominates the pattern B-Zozu voltage: the alpha rhythm is lost C-spindles: short groups (“spindles”) of 14-per-second waves appear and also random “delta” * waves 0.2 second or more in length D-spindles plus random: both types of wave increase in voltage and the delta waves become longer E-random: the 14.per-second waves become inconsp...

A-interrupted alpha: the normal waking 10.per-second rhythm dominates the pattern B-Zozu voltage: the alpha rhythm is lost C-spindles: short groups (“spindles”) of 14-per-second waves appear and also random “delta” * waves 0.2 second or more in length D-spindles plus random: both types of wave increase in voltage and the delta waves become longer E-random: the 14.per-second waves become inconsp...

The random generation of coherent solitary waves from incoherent waves in a medium with an instantaneous nonlinearity has been observed. One excites a propagating incoherent spin wave packet in a magnetic film strip and observes the random appearance of solitary wave pulses. These pulses are as coherent as traditional solitary waves, but with random timing and a random peak amplitude.