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In reality, the economic life of a product is often significantly less than the statutory term of the patent. Technological obsolescence, changing tastes, and other factors may shorten the economic life of the product. The average economic life of a patent (before the underlying technology becomes obsolete) is only about five years from the date of issue. In this case, the sum (5) will have fewer terms as the sales volume eventually dwindles to zero. It is important to note that the annual incremental values i change over the life of the patent. Such changes may result, for example, from product promotion, the availability (and cost) of substitute products, and general economic conditions. All such factors must be taken into account when forecasting values for formula (3), and it must be done on

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1 The non-speci c components of the sh immune system The non-speci c immune response in sh has been studied in some detail for a small number of sh species As for other vertebrates, it consists of humoral and cellular components The humoral immune components include lysozyme, complement, C-reactive protein, transferrin, lectins, hemolysin and various other substances (see Yano, 1996, for an overview) These substances may be found in mucus and eggs as well as in plasma and their main role is to provide an immediate rst, unspeci c, line of defence against pathogenic microorganisms For this reason, the substances are also commonly referred to as acutephase reactants The components of the acute-phase response are predominantly glycoproteins and other proteins that are excreted into the blood Plasma levels of acute-phase reactants increase following infection (White & Fletcher, 1983; Szalai et al, 1994).

The changes in quantities demanded result from the fact that the new, higher price of pizza reduces the marginal utility per pound for pizza. Doubling the price of pizza means that the marginal utility per pound spent on each slice of pizza is exactly half of what it was before. You can see this by comparing the fourth and fifth columns of Table 9-2. Because the increase in price lowers the marginal utility that each pound spent on pizza buys, naturally this affects where you spend your limited budget of 10. As you may expect, a higher price of pizza leads you to eat less pizza and drink more beer. You can prove this to yourself by spending, in order, each of your pounds so that you buy whichever good has the higher marginal utility. (The section Allocating money between two goods to maximise total utility earlier in the chapter walks you through the process.) The results of doing so are summarised in Table 9-5.

(1) Video is suitable for time-lapse sequences lasting several minutes to hours. Membrane ruffling, organelle movements, cell migration, and mitosis are ideally suited for video time-lapse recording. (2) The horizontal cutoff frequency is calculated as fH Mobjective Mrelay NH/1.2D, where M represents the magnification of the objective and relay lens, N is the lines of horizontal or vertical resolution at NH 800, and D is the diagonal measurement of the target in the video electron tube in mm. For a D of 15.875

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In addition to the humoral components of the non-speci c immune system, there are cellular components, reviewed by Secombes et al (1996) The non-speci c cellular defence includes macrophages, granulocytes and non-speci c cytotoxic (NCC) cells Macrophages normally have high phagocytic activity, will migrate according to chemical stimuli, can secrete free radicals and can act as accessory cells for lymphocyte responses Macrophage responses have been used to identify immunomodulation from various agents (see below) In sh, granulocytes are generally either neutrophils or eosinophils As macrophages, granulocytes are mobile and phagocytotic, but their bactericidal activity is not as high as that of macrophages (Secombes et al, 1996) In some sh species there is a particularly well-developed cell-mediated cytotoxic capacity, mediated through non-speci c cytotoxic cells (Pettey & McKinney, 1988; Haynes & McKinney, 1991; Inoue et al, 1998).

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To wrap the overloaded member functions into Python we need to introduce some member function pointer variables: