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He is stirred by passions so intense that they can be satis ed only by violent and extreme acts: by acts of superhuman heroism or bloody barbarism This explains the Crusades, for example, as well as so many sublime or savage moments in the French Revolution We see the most mediocre or harmless bourgeois transformed by the general exaltation into a hero or an executioner And the mental processes are so clearly the same as those at the root of religion that the individuals themselves conceived the pressure they yielded to in explicitly religious terms The Crusaders believed they felt God present among them, calling on them to go forth and conquer the Holy Land, and Joan of Arc believed she was obeying celestial voices This stimulating action of society is not felt in exceptional circumstances alone.

There is virtually no instant of our lives in which a certain rush of energy fails to come to us from outside ourselves In all kinds of acts that express the understanding, esteem, and affection of his neighbor, there is a lift that the man who does his duty feels, usually without being aware of it But that lift sustains him; the feeling society has for him uplifts the feeling he has for himself Because he is in moral harmony with his neighbor, he gains new con dence, courage, and boldness in action quite like the man of faith who believes he feels the eyes of his god.

the assets, these are generally described as being highly correlated (near 100 percent). The assets in Figure 6.4 are constructed to be equal in value and 90 percent correlated. However, the rst asset is held long and the second asset is short. The combined portfolio has an expected return of 6 percent (in part by design because the expected return on the long is assumed to be 15 percent and the expected return on the asset held short is 14 percent).6 The standard deviation of the combined returns is 8.05 percent. While the standard deviation is much lower than the unhedged portfolio, the risk of loss is 22.8 percent,7 higher than the unhedged portfolio. Nevertheless, the probability of a large loss is much smaller for the levered, hedged portfolio than for the outright long, unlevered, and unhedged portfolio. Because it is possible to remove much of the aggregate market risk from a portfolio, it is not accurate to presume that more leverage leads to more risk. In fact, the least volatile hedge funds are the funds following arbitrage strategies. These funds also have the highest leverage of all hedge fund investment styles. A highly levered, well-hedged portfolio has other risks that are not easy to measure with standard measures of risk. These risks, including the risk of losing nancing capacity, are discussed in 11, which deals with risk management.

(37.2)

12,85

1 = ~ = 3.600, 0.278 0.404 8.92 0.469 8.920, 19.008. (11.48)

FIGURE 27-6

Enzybiotics: Antibiotic Enzymes as Drugs and Therapeutics. Edited by Tomas G. Villa and Patricia Veiga-Crespo Copyright 2010 John Wiley & Sons, Inc. 173

(5.26)

A few loose words about the Lebesgue integration theory The measure of a set is a rigorous definition of its volume that remains exact even for very complicated sets whose volume in the traditional sense is difficult to imagine The definition of the measure of sets precedes the definition of the integral The Lebesgue measure, which is used to define the Lebesgue integral, is an alternative to the Jordan measure upon which the Riemann integral was built There exist rare sets whose Lebesgue measure is undefined, but the reader does not have to worry about encountering them since this is is almost impossible in practice In what follows, all our considerations are based on the Lebesgue measure, Lebesgue-measurable sets and Lebesgue integrals of functions defined in such sets We shall not repeat the name of Lebesgue or the measurability assumption anymore.

3 4 5 6 7 8 9 10

1/ 8 1/ 4 1/ 2 1