Brownian motion but rather a singular behavior in which the particle doesn't move at all. The Brownian motion can be modeled by a random walk. Random walks in porous media or fractals are anomalous. In the general case, Brownian motion is a non-Markov random process and described by stochastic integral equations. The French mathematician Paul Lévy proved the following theorem, which gives a necessary and sufficient condition for a continuous R-valued stochastic process "X" to actually be "n"-dimensional Brownian motion. Hence, Lévy's condition can actually be used as an alternative definition of Brownian motion. Let "X" = ("X", ..., "X") be a
Brownian Motion Ultimate proving that Brownian Motion could compete with the best teams in the country. It was also at this time that Brownian Motion re-constituted its "B" team, nicknamed Polyester Funkadelic or P-Funk. The success of 1998 continued as Brown lost only one other game on its way to its first National's berth ever in the Spring season. At Nationals, Brown went 3-3, losing to the eventual champions UC Santa Barbara and Stanford. However, Brown also beat the third ranked Carleton College 13-12. Brown left nationals as one of the top ranked college programs in the nation. These years also gave the