Design merit function

The mathematical procedure for a single merit function optimization for many design variables involves derivatives of the merit function with respect to each of the design variables (as a generalization to multiple... 

The relaxation rate R t) described by Eqs. (4.49)-(4.51) embodies our universal recipe for dynamically controlled relaxation [10, 21], which has the following merits (i) it holds for any bath and any type of interventions, that is, coherent modulations and incoherent interruptions/measurements alike (ii) it shows that in order to suppress relaxation, we need to minimize the spectral overlap of G( ), given to us by nature, and Ffo)), which we may design to some extent (iii) most importantly, it shows that in the short-time domain, only broad (coarse-grained) spectral features of G( ) and Ffa>) are important. The latter implies that, in contrast to the claim that correlations of the system with each individual bath mode must be accounted for, if we are to preserve coherence in the system, we actually only need to characterize and suppress (by means of Ffco)) the broad spectral features of G( ), the bath response function. The universality of Eqs. (4.49)-(4.51) will be elucidated in what follows, by focusing on several limits. 

In its work, the Development Co. has been impressed by the flexibility of the process. As no functional process limitations such as maximum carbon or restrictive high temperatures in regeneration exist in the Fluid system, units can be designed for any octane number product or any type of feed. Moreover, the merits of improved catalysts can be exploited to maximum advantage. 

It is significant that cF is completely independent of T and fll. Consequently as a figure of merit, it is insensitive to the efficiency of combustion, but sensitive to the nozzle design. In practice the test engineer compares the measured Cp, which is determined from actual measurements of pc, At, and F, with the theoretical Cp computed from equation n. A. 17. or figure n. A. 5. to determine whether the nozzle is functioning efficiently. In this way he can localize to some extent the cause of an unexpected defect in the specific impulse. If no defect is found in Cp then the loss must be in the combustion process. In the next paragraphs a parameter solely dependent upon the combustion efficiency is defined. 

The mutation and crossover steps muddy the picture a little, but it appears from the second generation (Fig. 5) that neither of the two poorest designs from generation 1 have made it through the selection process. In particular, the small dark lighthouse from population 1, which was clearly an also-ran in the evolutionary stakes, has been eliminated, and all the designs, while still of little architectural merit, are at least functional. The evolutionary steps are now repeated,... 

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