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In retrospect, of course, a person buying 3M in 1986 would indeed be getting it cheap. Because once the stock has moved up thousands of percent, whether you paid $1.25 a share or $1.10 a share doesn t make the least bit of difference. But at the time, few people want to pay what they see as top dollar for a stock and they prefer to wait until the stock gets cheap again. The fact is, sometimes that second opportunity will never come along. This, again, is where pullbacks represent a possible entry point for newcomers to a stock. There is absolutely no guarantee that a stock breaking above its base will provide such an opportunity. The momentum may simply carry it skyward, giving no one a second chance to get in cheaply. But if you have a lower tolerance for risk, you may want to acquire only during a pullback. Using 3M again as an example (Figure 9.6), the pullback took over a year to take place (and it was only because there was a major market crash to provide such a pullback), but the arrow illustrates where more cautious buyers could have acquired the stock at a relatively bargain price as weaker holders of the stock sold it off to prebreakout levels.



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These two approximations together obey the condition in (4.2.34). Thus ladder approximation and nonlinear approximation are consistent with each other from the point of view of energy conservation. On the other hand, ladder approximation and bilocal approximation are not consistent with each other in terms of energy conservation.

It was noted in Section 1 that when the bilocal approximation is applied in a straightforward manner to vector electromagnetic wave equations, the results are only valid when the permittivity fluctuation variance c5 is much less than unity. The results for weak permittivity fluctuations are in Eqs. (4.1.37)(4.1.45). The small 15 criterion severely restricts the usefulness of the random medium model. Geophysical media and composite matmials are often mixtures of substances with very different dielectric properties.





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In the bilocal-approximated Dyson's equation, both the observation point and the source point of the dyadic Green's function are within the random medium and can coincide with each other within the domain of integration. Physically, this corresponds to the fact that the scatterers act as sources of radiation. By taking into account the singularity of the dyadic Green's function, a strong permittivity fluctuation theory of electromagnetic propagation can be derived that is applicable for larger variances of the permittivity. In this section we apply the strong permittivity fluctuation theory (SPF) to study scattering from a layer of random medium with spherical correlation function. The first moment of the field is calculated by using the bilocal approximation, and the second moment of the field is calculated by using the distorted Born approximation. The correlation function is obtained by using simple physical arguments and is expressed in terms of the fractional volumes and the particle sizes of the constituents of the dielectric mixture. The lowfrequency assumption is made in the derivations. The low-frequency effective propagation constant h&') an imaginary part that is due to a combination of absorption and scattering. The scattering part is dependent on particle size and can be ignored in the very low frequency limit. It is also shown that the derived result of the effective permittivity in the very low frequency limit is identical to the Polder and van Santern mixing formula. It is also identical to the result of the effective medium theory. In this section we only study media with spherically symmetric correlation functions. Results for anisotropic correlation functions can be found in the references. 3.1 Random Medium with Spherically Symmetric Correlation Function

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Consider a medium with permittivity E(1') which is a random function of position. The vector wave equation is

(4.3.1)

where k o follows:

\7 x \7 x E -

k~ (E(7') - EU)

Although the bridge is located in Conner Park in Claremont, North Carolina, and is used for pedestrian traf c only, we analyzed the trusses for both pedestrian traf c and uniform lane loading equivalent to AASHTO H15-44.

FIGURE 9.6 This pullback erased most of the gains enjoyed since the breakout, but it did not violate the pattern.

(4.3.2)

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