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Taking the curl of both sides of Eq. (3.3-3) gives r r H e r r H can be expanded as r r H r r H r rH; where rH is the gradient of H. This means rHi ; i x, y, z is given by rHi r rHi r2 Hi is given by r2 H i @ 2 Hi @ 2 Hi @ 2 Hi ex ey 2 ez @x2 @y2 @z 3:5-4 @Hi @Hi @Hi ex ey ez @x @y @z 3:5-3 3:5-2 @ @2H r E em 2 @t @t 3:5-1

In contrast, the predominance of calcium oxalate monohydrate for the spectrum of the sample in Figure 714(b) indicates that there is a high oxalate content in the urine, which is linked to primary hyperoxaliuria, in ammatory bowel disease or high intake of oxalate-rich food..

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Can convertible bond hedging yield excess returns I constructed a portfolio of convertible bond trades for the period January 1989 to July 1996. This time period was chosen because it included both up and down markets in stocks and bonds. Data were collected for each of the 90 months using Value Line Convertibles as the primary source. In order to simplify the process, and to better re ect real-world trading conditions, only convertible issues of at least $100 million in size were included in the sample. The portfolio started out with equally weighted positions in all available convertible bonds and preferred stocks over $100 million in issue size. The portfolio was rebalanced monthly. On average, it included 146 convertible securities. To hedge the portfolio s stock price exposure, each convertible s underlying stock was shorted in the amount given by Value Line. To hedge the portfolio s interest rate exposure, ve-year Treasury note futures were shorted in the amount speci ed by Value Line. The portfolio accrued coupon income over the course of each month. Dividends owed as a result of the short sale of stock were also

of liquidity. Thus leveraged investors may nd themselves in the uncomfortable position of having to meet increased margin calls just at a time when their ability to sell assets or raise capital is most curtailed.38 These effects will differ across different types of market neutral strategies, however. LTCM faced margin calls because of losses in both its long and short positions; at the same time, its ability to sell illiquid long positions was severely limited. However, as we noted in Questions and Answers About Market Neutral Investing, abrupt market declines tend to result in added liquidity for market neutral equity strategies, as marks to market on short positions are in the investor s favor. It seems that investors may have learned some lessons from LTCM. In raising money for his new hedge fund, John Meriwether was quick to point out that it would use less leverage, assume less risk, and be much more transparent than LTCM; its trades would also be poised to take advantage of the kind of outlier market behavior that did in LTCM. Nevertheless, Meriwether was able to raise only about a sixth of the initial capital he had hoped for. One might nevertheless ask, if investors learned from LTCM after it failed, why hadn t they learned enough from ACM s failure to have avoided LTCM in the rst place The answer undoubtedly lies in the very human natures of all involved, managers, lenders and investors. We all want something for nothing, and an investment that promises high returns at no or little risk may be impossible to resist, for long.

and the average space-bandwidth product used per signal is SBs , the number of signals that can be recorded is of the order of SB=SBs times the capacity for linear addition of signals in the recording medium. Direct recording of the hologram would cause SB=SBs to be of the order of 1. Thus, the information capacity of the real hologram can be used effectively via this method at the cost of reduced resolution. However, this may require a nonlinear recording technique such as hard clipping. If SBs is reasonably small for a signal, coarse recording devices such as a laser printer can be used to make a digital hologram. Another advantage that can be cited is that it

The chi-square test is a hypothesis test to use with variables measured on a nominal or ordinal scale. It allows an analysis of whether there is a relationship between two categorical variables. As with other hypothesis tests, it is necessary to state a null and alternative hypothesis. Generally, these hypothesis statements look like: H0 : There is no relationship Ha : There is a relationship Using Table 5.5, we will look at whether a relationship exists between where a consumer lives (represented by a zip code) and the brand of washing powder they buy (brand X, brand Y, and brand Z).

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