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processors is doubled, we generally observe parallel speedup factors ranging from 1.35 to 1.60, at least until the workload per processor is suf ciently small. In the uniform grid case, however, the performance enhancement obtained by increasing the number of processors from 32 to 64 is nearly four. A slightly larger performance bump occurs when the number of processors is increased from 8 to 16 in the adaptive case in which r = 2. Such parallel performance increases indicate transitions from poor to good cache utilization, resulting from, for example, reductions in the amount of data assigned to each processor. Note that similarly dramatic performance increases do not occur for the adaptive computations in which r = 4, indicating that good cache performance is obtained in this case on as few as eight processors. When we employ 64 processors, we appear to obtain good cache utilization in all cases, and the corresponding adaptive speedup factors are 1.45 for r = 2 and 1.59 for r = 4. Similarly, when we employ eight processors, neither the uniform grid simulation nor the r = 2 adaptive simulation appears to obtain good cache performance, and in this case, the adaptive speedup is 2.13. On the other hand, in the same eight processor case, the adaptive speedup is 7.54 for r = 4. Note that we anticipate that the effect of adaptivity on performance would be even more dramatic for a subcycled timestepping scheme, in which the timestep duration is re ned locally along with the spatial meshwidth. Even with the present nonsubcycled timestepping scheme, however, it is clear that we are able to obtain simulation results more rapidly and with fewer processors by using adaptive mesh re nement.

6. The photochemistry of 1,5-hexadien-3-ones has been examined by Dauben and coworkers. A relatively rare dependence of the intramolecular enone ole n photoaddition of several derivatives has been observed. Discuss the mechanistic possibilities in terms of Dauben Salem Turro state correlation diagrams. (See Dauben, W. G.; Cogen, J. M.; Ganzer, G. A.; Behar, V., J. Am. Chem. Soc., 1991, 113, 5817.)

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Reference plans can usefully capture some earlier misconceptions: to provide convenient straw men to be knocked down by the uncertainty analysis in order to demonstrate the value of the RMP Unlike strategic plans, reference plans need not be credible given the latest appreciation of project uncertainty, because they need not embed proactive responses But if reference plans seriously embarrass any major players, they put the whole RMP at risk Helping all major players to bury their embarrassing earlier misconceptions by revising reference plans is a key part of a successful RMP Selective memory is often expedient A key purpose of the RMP is to uncover aspects of project reference plans or associated project planning processes that need changes However, provided all necessary changes are made, sometimes some changes are best kept con dential to the analyst and those responsible, to avoid any unnecessary embarrassment.

GoLive s site reporting feature, new to Version 5, provides excellent feedback about the state of your site. (Although a part of the Find window interface, these reports are a whole nother ballgame, so I feel they merit a standalone section of this chapter on optimization.) Using the Site Report s five subtabs, you can set a number of criteria for your search. After you make your selections and click the Search button, GoLive produces a separate window called a Site Report, which is viewable in the same way as a Site Window.

Assuring everyone involved that this will be the case can be an important starting point at the beginning of the analysis It is comparable with the con dentiality agreement any consultant signs before he or she starts work, except that it is informal and a separate arrangement with each individual player The operative words here are avoiding unnecessary embarrassment, provided necessary changes are made The practical reason why it is important to adopt this position, and make it very public at the outset in the SHAMPU de ne phase, should be obvious If this is not done, people will be inhibited and defensive in a way that is both natural and entirely reasonable given their perspective and to the detriment of the project as a whole from the project owner s perspective Our ultimate purpose is to help the project s owners succeed.

where the subscript LS has been added to identify the large-signal quantities. Let us now add a small input current iss (t) (Figure 1.38). The voltage will be perturbed by a small component vss (t): v(t) = vLS (t) + vss (t) (1.131)

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