Curves, plotting in figures

Note, too, the convergence at low agonist concentrations of the curves plotted in Figure 1.27. The antagonist becomes less active when the response is small, because there are fewer receptors in the AR form available to combine with C. Again, in contrast to the other kinds of antagonism that have been described, there is no initial parallel displacement of the curves (even if many spare receptors are present), and the Schild equation is never obeyed. 

In Figures 8 and 9 are shown the data for the dependence of the characteristic film buildup time t on Apg and U. In accord with the model, t is found to be independent of U, with only a very weak dependence on Apg indicated. This latter result could in part be a function of experimental inaccuracy. The data reduction for t introduces no assumptions beyond that needed to draw the exponential flux decline curves such as those shown in Figures 2 and 3. However, an error analysis shows that the maximum errors relative to the exponential curve fits occur at the earlier times of the experiment. This is seen in the typical error curve plotted in Figure 10. The error analysis indicates that during the early fouling stage the relatively crude experimental procedure used is not sufficiently accurate or possibly that the assumed flux decline behavior is not exponential at the early times. In any case, it follows that the accuracy of the determination of 6f is greater than that for t. 

The curves plotted in Figure 5.1 illustrate the dependencies AG(nucl, r) on the water drop radius at 25°C at various oversaturation ratios. Supposedly, expression (5.13) may be used for the crude estimation of the apparent activation energy of the synthesis of solids in an initially homogeneous gas or Hquid phase system. 

The improved concurrence of the analytical curves plotted in Figures 8, 9, and 10 indicates that the ratios of analyte to internal reference line intensities decreased the eflFects of diflFerences in injection rate that were caused by changes in the amount of total dissolved sohds. The fact that the net intensity of either the gallium or yttrium line served equally well for this normahzation of the sample introduction rates indicates that, as expected, the differences in introduction rate had little effect on the actual excitation conditions within the plasma. 

Solution The values (listed above) for the variables and constants in this system are entered into equation 4.27, and the pH is set to several fixed values between 4 and 7. From these solutions for the amounts of adsorbed metal, (S—OM), adsorption curves, plotted in Figure 4.5 for the Cu level of 50 moles, are formed. Most of the Cu"" chemisorption is predicted to occur in the pH range 4.5 to 6.5. 

PWL is indistinguishable from that of PW91 for the curves plotted in Figure 14. To illustrate the scale of the difference, in Figures 15-16 we plot several high density curves of the correlation contribution Fc for both these functionals. Note... 

In judging the quality of (it for typical alkyl halides, several points should be considered. (I) The data tire from a number of workers using a variety of reaction conditions and methods. Variations in initial concentrations, identities and concentrations of solvent may all affect A. (2) The effects of e on product distributions are ignored. (3) A variation of a factor of 10 in rp (curves plotted in figure 7.17) corresponds to a smaller variation, a factor of 10 -. 3. in the corresponding value of s or 5. 

The typical deactivation curves plotted in Figure 8 depict the poisoning of Johnson Matthey platinum metal oxidation catalyst by lead and phosphorus. A section of the spent catalyst was subjected to electron probe microanalysis (Figure 9) the lead and phosphorus density photographs were obtained by monitoring back reflected x-rays. Phosphorus accumulated on the periphery of the washcoat at the gas-solid interface, whilst lead appeared to be more evenly distributed throughout the... 

The curves plotted in Figure 4 are from equation 1 with = 3 and 4. The curve for four cross-linldng sites per mole is in very good agreement with the chemical estimate of the number of pendant hydrophobes. 

The transmission spectra of such a system, stabilized after five cycles, is displayed at different applied potentials in Figure 14.40. In this figure, the spectrum of the system formed by Glass/ITO/PAMPS/ ITO/Glass (Figure 14.41) is subtracted, to see more clearly the phenomena in the two electrochromic media. If we look at the two curves plotted in Figure 14.41, it is... 

The binodal and spinodal points can be defined from the conditions above for different temperatures and this leads to the determination of the binodal and spinodal curves plotted in Figure 4. At the critical point, the two curves coincide this condition is met when the following relationship is satisfied ... 

Consequently, at low extrusion rates, 15 s, the curves plotted in Figure 3.266 were obtained. 

Therefore, the longer the material reacts, the more product is made. However, the rate at which product is formed slows with time, and the average production rate drops. These trends are shown by the curves plotted in Figure 14.11. Both the instantaneous and time-averaged production rate of Product B are seen to decrease with time. Because this is a batch operation, the optimal time to run the reaction must be determined. Because there are costs associated with cleaning and recharging feed to the equipment, these should be taken into account when determining the optimal cycle time for the batch. 

Thermal analysis and kinetic studies have demonstrated that oxidative reactions are responsible for acceleration in the rates of weight loss and depolymerisation of cellulose pyrolysed in air at temperatures below 300 °C [7], as well visible in the TG and dTG curves plotted in Figure 14.5. 

Diminishes The three curves plotted in Figure 4.1 correspond to three different initial droplet-radius ratios. As the initial difference between the sizes of the droplets increases, the initial flux—essentially the resulting difference in Laplace pressure—increases. We find that the greater the initial difference. 

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