Brownian model of financial markets as: Note that formula_21 and formula_139 are absolutely continuous with respect to each other, i.e. they are equivalent. Also, according to Girsanov's theorem, is a formula_6-dimensional Brownian motion process on the filtration formula_146 with respect to formula_139. A complete financial market is one that allows effective hedging of the risk inherent in any investment strategy. Let formula_89 be a standard financial market, and formula_149 be an formula_140-measurable random variable, such that: The market formula_89 is said to be "complete" if every such formula_149 is "financeable", i.e. if there is an formula_155-financed portfolio process formula_156, such that its associated wealth process
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