Correlation Plot

Figure 4 Correlation plots of load versus number of cycles for the non-filtered (up) and filtered (bottom) AE data of a test at (Tna, = 80% a and R = 0.1...

However, it is possible that friction events from rubbing between fractured surfaces can be generated at low load levels also during the loading part of the cycle. This is depicted in the two correlation plots of Figure 5. In the plot at the bottom, these events are marked with a rectangle. It was decided that in addition to the previous filter, another filter based in load level should be added. Acoustic emission events were thus accepted only if they occurred at a load higher than 85% of the maximum load level of the test. 

Viscosity Centipoises Gunness and Other Data Plotted Versus Reciprocal Viscosity in Maxweli. (Average viscosity of iiquid on the piates) Drickamer and Bradford Correlation Plotted in Ludwig. (Molal average viscosity of the feed)... 

Figure 7.11 Linear free energy correlation plots for inhibition of subtilisin BPN mutants by wild type (open circles) and mutant (close circles) chymotrypsin inhibitor 2. Left panel Correlation between AGbinding for the inhibitor and AGm. Right panel Correlation between AGbinding for the inhibitor and AGES.

All formulas in Table 6.1, and the PID settings in Table 6.2 later, are implemented in the M-file recipe.m, available from our Web Support. The Ciancone and Marlin tuning relations are graphical, and we have omitted them from the tables. The correlation plots, explanations, and the interpolation calculations are provided by our M-file ciancone.m, which is also used by recipe.m. 

For aromatic hydrocarbon radical anions, this approach works pretty well. Figure 2.7 shows a correlation plot of observed hyperfine splitting versus the spin density calculated from Hiickel MO theory. It also correctly predicts the negative sign of aH for protons attached to n systems. 

Figure 2.7 Correlation plot of observed coupling constant vs. computed spin density from Hilckel MO theory. See Table 2.1 for identification of points.

Figure 20.2 Correlation plot of protein identified from microdissected tissue (group 1) versus non-microdissected tissue (group 2). 

Figure 20.6 Correlation plot of technical replicates of yeast cell extracts. Reproduced with permission from Reference 16.

Figure 20.12 Correlation plots of 1990 versus 2002 FFPE leiomyomas (left) and 1990 FFPE leiomyomas versus a 1980 FFPE sarcoma (right). Reproduced with permission from Reference 22.

Base hydrolysis is much faster, at any significant hydroxide ion concentration, than aquation but, as is apparent from Table I the two reactions exhibit comparable ranges of rate constants. Indeed the two sets of rate constants correlate very well, over more than nine orders of magnitude, with a slope close to unity for a correlation plot. 

Initiator decomposition studies of AIBN in supercritical C02 carried out by DeSimone et al. showed that there is kinetic deviation from the traditionally studied solvent systems.16 These studies indicated a measurable decrease in the thermal decomposition of AIBN in supercritical C02 over decomposition rates measured in benzene. Kirkwood correlation plots indicate that the slower rates in supercritical C02 emanate from the overall lower dielectric constant (e) of C02 relative to that ofbenzene. Similar studies have shown an analogous trend in the decomposition kinetics ofperfluoroalkyl acyl peroxides in liquid and supercritical C02.17 Rate decreases of as much as 30% have been seen compared to decomposition measured in 1,1,2-trichlorotrifluoroethane. These studies also served to show that while initiator decomposition is in general slower in supercritical C02, overall initiation is more efficient. Uv-visual studies incorporating radical scavengers concluded that primary geminate radicals formed during thermal decomposition in supercritical C02 are not hindered to the same extent by cage effects as are those in traditional solvents such as benzene. This effect noted in AIBN decomposition in C02 is ascribed to the substantially lower viscosity of supercritical C02 compared to that ofbenzene.18... 

Note d and d denote mean and mean absolute errors, respectively, relative to the experiment, m, c, and R2 denote the gradient, intercept, and correlation parameters, respectively, of the correlation plots, relative to the experiment. 

Fig. 5 Correlation plots, of Ar, and Ar2 versus the mean YMX angle, 0, referred to a common origin, for various tetrahedral systems YMXj. Reprinted with permission from Murray-Rust et al. (1975). Copyright 1975 American Chemical Society.

Figure 3 Graphical comparison of time profiles, in the original Fit) presentation (left) and a correlation plot (right).

A numerical description of how closely the points adhere to the best fit straight line on a correlation plot (r). 

Figure 2.12 Correlation plots of (A) transporter expression and (B) metabolic enzyme expression in duodenum between rat and human. The expression levels of transporters and metabolic enzymes are normalised by GADPH expression, transformed by natural logarithm and absolute values were used in the correlation analysis [121].

The average correlation, plotted as f(C)- 1, shows that the square model starts initially with a small positive value and increases monotonously to the very large value of 37,348 at C -> < . On the other hand, the g(C) - 1 curve for the tetrahedral model starts from a very small value and reaches the value of about 21,058 at very high concentrations. Clearly, both of the Bis appear as positive cooperative, but with much stronger cooperativity for the square model, in apparent defiance of the density of interaction argument. 

Correlation plots for concentration data from Figure 11.11. (a) Total Se versus silica, (b) total Se versus phosphate, (c) selenite versus silioa, and (d) selenate versus phosphate. 

Correlation plots for the North Pacific Ocean concentration data from Figure 11.14 (a) zinc versus nitrate, phosphate, and silica, (b) cadmium versus nitrate, phosphate, and silica, (c) copper versus nitrate, phosphate, and silica, and (d) nickel versus nitrate, phosphate, and silica. 

Correlation Plot of Cohesive Energy Ratio for LAS Homolog Detergency of Mineral and the Experimental Soil Removal. 

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