Best-case scenario

It is to be expected that in the near future more of such concepts will find application, simply for cost reasons. Laboratory-scale investigations with precisely microfabricated reactors in advance of the use of such devices can give valuable information, providing a best-case scenario. From then, one can look for alternative micro-flow solutions of lower cost, higher reliability, higher flexibility and so... 

The worst case scenario (Conti Sc wc) describes a life time of one week as a minimum prerequisite. In order to allow for a comparison of the two synthetic methods, the presumed best case (Conti Sc3) is based on a life time equal to that of the double-walled glass reactor, which is ten years on average. Scenario 1 (Conti Scl) and 2 (Conti Sc2) represent life time expectancies of three months and three years respectively, thus ranging between the worst-and the best-case scenario. A comprehensive estimation of the influence of the supply of the Cytos reactors on the overall result is thus feasible. 

Both mode of inheritance (dominant, recessive) and allele frequency can have dramatic effects on required sample sizes (Table 10.2). Even for the best case scenario - a common SNP acting in a dominant fashion - a relatively large sample size of more than 300 cases (a total sample size of >900 subjects) is required at an a of 0.05 (Table 10.2). 

Nonetheless, this reaction is certainly not at the most profitable edge, as the reaction time even in the microreactor is ultimately not short, still on the order of 1 min, and the reactor load is further limited by dissolubility of the reactants. Both limit the reactor space-time yield and thus decrease the productivity so that the following conclusions do not at all comprise a best-case scenario. 

Fig. 102 shows the numerical results. The results of the first period are indexed at 100 in order to compare the results of the subsequent periods compared the first period. Results of the one-phase optimization strategy are relatively constant sales quantities and expected profits slightly below the index level of 100. Executing this plan can lead to very positive best-case scenario profits but also to very negative profits, if the worst-case price scenario occurs. 

The best-case scenario is that I don t have a loop in my "d". It doesn t bother me if you laugh at my butt or tell me I walk funny. What if the wound on your arm spontaneously healed No matter how much salt I threw at you, you would feel no pain. 

In other cases, one may elect to use the best case scenario and make plans based on the left bound within the p-box. Which criterion one might use is outside the scope of probability bounds analysis. However, it should be emphasized that the possibilities within the bounds are not equivalent. And the analyst should not pick any answer from within these bounds. We recall the case of the engineers who designed Kansai International Airport on an island constructed with fill in a harbor near Kobe, Japan. They were reportedly told by geologists that the island would settle between 19 and 25 feet. They chose to plan for 19-foot subsidence, supposedly because planning for 25 feet would have been prohibitively expensive. One needs not be a student of Greek tragedy to anticipate the fate of such hubris. 

Within realistic conditions of operation, the shortest lifetime (1200 y) represents the worst case, which is certainly difficult to envision for this situation, HT granules would have the smallest possible size (1 mm) and would dissolve at the fastest rate (10-3 g/m2 x day). Likewise, the longest lifetime (6 x 105 y) is the best case scenario, which might never happen HT granules would have the greatest size and dissolve at the lowest corrosion rate. These two extreme lifetimes are thus not considered to be plausible. For the most realistic estimates, one would expect the hypothetical HT material to last for ca. 104-105 years, which is remarkably favourable. 

This is where all the previous steps should be coming together. You have the question in mind and a picture of what s happening. You have an estimate or guess of how the answer should come out. You have variable expressions representing the distances traveled. Now you need to set up a process or equation. Sometimes the process is no more than multiplying a number by 2 or 3. That s the best-case scenario. But it s much more fun when you set up an equation to be solved. 

In the following, three scenarios are compared according to their revenue expectations. The basis for the calculation of the variance coefficients is the theory of the diffusion curve13 of innovations. It is assumed that the Austrian market will be satiated by 50% after 10 years. This estimate is based on the analogous market of "Responsible Care". Expected market shares have been used for the calculation of the variance coefficients of the Worst and Best Case scenarios, which assume a 30% and a 70% satiation, respectively (Fig. 37). 

The same Australian study estimated total farm incomes under the assumption of an adoption rate of 30%. Under the worst-case scenario, where premiums for crops were assumed to decrease from 15% to 0% with no premiums for livestock products at all stages (extreme assumptions) total returns to the sector would drop by 7% when 30% of farmers had converted. In the best-case scenario, with premiums decreasing from 15% to 7.5% (probably more realistic), total returns to the cereal-livestock sector would have a 3% decrease at the 30% adoption rate. 

In all certainty, the human population growth rate on Earth will eventually reach o percent. How soon might this occur How might this rate be achieved in a worst-case scenario In a best-case scenario In a science-fictional sort of scenario ... 

In most food applications, the analyst is working with rather complex matrices. This raises the question of how to quantitatively extract a representative fraction of the enzyme to be assayed. In the best-case scenario, all or a representative fraction of the active target enzyme will be obtained in a solution devoid of other components that may hinder the assay (compounds that may affect either the enzyme itself or some other aspect of the assay). The objective of many assays is to measure the total amount of enzyme activity associated with a particular sample this determination depends on the quantitative extraction of the target enzyme. In all cases, it is essential that the enzyme preparation be clearly defined when reporting the amount of enzyme associated with a given product, because this step is likely to have a major impact on measured activities. Furthermore, it should not be assumed that an enzyme preparation protocol optimized for a particular sample or product is necessarily optimal for a different sample. 

Fig. 16.5. Comparison of Raman spectra of pure water (dotted line) and water with dissolved glucose at a high concentration of 100mM (solid line). This shows that even in a best-case scenario (i.e., no fluorescence), the majority of the shot noise in a dissolved analyte spectrum comes from the host environment rather than the targeted analyte itself...

Let us consider the best case scenario, where the initial angle a = 0. During shear, the surface is reoriented and will eventually approach 90° hence, the mixing becomes very ineffective as the fluid interfaces are deformed. However, if during the flow, where the total shear, 7, is imposed upon the surfaces, the flow is interrupted in the middle so that the surface can be reoriented back to the initial position, we get... 

The goal of equivalence trials is to demonstrate that the test drug and an active comparator drug are equivalent. Like several words that we have already encountered in this book (e.g., significance), the word equivalent is used in both everyday language and in Statistics, but its use in Statistics is specific. In this context, equivalence means that, in the best case scenario, the test treatment is... 

Assuming that this free enthalpy change is provided by heat, the best case scenario is heat provided by nuclear heat at 673 K with a heat release at 350 K (the evaporation process will not work below this temperature), and applying Carnot s law, a minimum heat demand would be around (100)/(l-350/673) = 210 kj with a minimal heat release of 110 kj at 350 K. 

The impact of heat transfer limitations is illustrated with a generic example describing a best-case scenario (Fig. 1.5). The allowed maximum temperature of the reformer tube is assumed at 950 °C. Hence, the wall temperature and inlet temperature of the reaction gas are set to 950 °C. The reforming reaction is assumed to be instantaneous - that is, at each axial position conversion is set equal to the equilibrium conversion at the respective temperature Xequ(T). Dissipative effects (i.e.,... 

Since they act as surfactants, copolymers are added in only small amounts, typically from a thousandth parts to a few hundredth parts. Theoretically, Leibler [30] showed that only 2% of a diblock copolymer may thermodynamically stabilize an 80%/20% incompatible blend with an optimum morphology (submicronic droplets). However, in practice kinetic control and micelle formation interfere in this best-case scenario. To a some extent, compatibilization increases with copolymer concentration [8,31,32], Beyond a critical concentration (critical micellar concentration cmc) little or no improvement is observed (moreover, for high amounts, the copolymer can act as a plasticizer). Copolymer molecular weight influence is similar to that of the concentration effect. For example, in a PS/PDMS system [8,31,32], when the copolymer molecular weight increases, domain size decreases to a certain extent. Hu et al. [31] correlated their experimental results with theoretical prediction of the Leibler s brush theory [30]. Leibler distinguishes two regimes to characterize the behaviour of the copolymer at the interface... 

Because the molar absorption coefficients of absorbing species in catalyst materials are usually not known, a calibration needs to be performed to relate intensity (at a certain wavelength or an integral over a range) to concentration. In a best-case scenario, the concentration is measured by a second independent method applied simultaneously. Published attempts include the use of EPR spectroscopy for the determination of the concentration of V4+ in VO /support materials in this case, the EPR tube was a "side-arm connected to the UV-vis cell, and samples could be transferred without exposure to air (Catana et al., 1998). EPR intensity and UV-vis intensity (KM function at a particular wavelength) were linearly correlated with each other. 

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