Logarithmic linear

Figure C2.8.7. Principal oxide growth rate laws for low- and high-temperature oxidation inverse logarithmic, linear, paralinear and parabolic.

The interaction between bare mica surfaces in 0.1 M KNO3 (pH 5.5) aqueous electrolyte is shown in figure 6a. The straight line (curve (a)) indicated on the logarithmic-linear plot is in accord with the exponential relation... 

It should be emphasized that the deviations from the logarithmic correlation obey the normal distribution statistics, allowing one to apply convenient statistical procedures to analytical measurement results. As will be shown below, the logarithmic linear correlation rule was observed for all types of geo-chemical samples, i. e., snow, air, water, and soil. The correlation analysis of the elemental composition of melted-snow fractions showed with confidence level 95% that no significant discrepancy exists between the element composition within the correlation curves (see Table 1) and the corresponding variances are thus homogeneous for any two randomly chosen samples (i. e., points of the territory). 

Instead, optical measurement was applied to clarify the formation mechanism of Agl nanoparticles in diluted suspensions. Figure 4.4.10A shows the absorption spectra of the 1-day aged suspension containing 3.33 X 10-4 M Ag+ and 6.67 X 10-4 M I- as a function of RSH concentration. When the content of RSH increased from 0 to 6.67 X I0-3 M (curves a-d), the absorption spectra of Agl particles blue-shifted, suggesting the quantum size effect. The relationship between the particle diameter, d (A), and the concentration of RSH, c (A/), was plotted in the inset, which shows the double-logarithmic linear line of d versus c. The aggregation number is found to be proportional to the cube of the size. The same relationship was reported on the formation of CdS nanoparticles (37). These correlations indicate that Agl and CdS have the same ionic nature and have the same reaction modules of thiols. 

Signal-to-concentration relationship Logarithmic Logarithmic Linear... 

The relationship between the concentration and the perceived taste intensity of MSG was logarithmically linear like those of the four common tastes, although the slope for MSG was somewhat less steep than the others. It means that Weber-Fechner s law holds for all of the five taste substances. The relation of the taste intensity (S) to the concentration (x) can be expressed by... 

As shown in Fig. 5.6c,K is defined by the slope of the (assumed) logarithmic-linear relationship between pressure and bulk density. 

Originally it was supposed that there is a rather sudden transition from Eqs.(15.28) to (15.29) at Mw = Mcr. Later investigations showed a gradual transition from Eqs. (15.28) to (15.29). Nevertheless, Mcr may still be defined as the molecular mass at which the two extrapolated logarithmic linear relationships intersect. 

Figure 20. Relative relaxation curve (curve 1) of unwinding of ds-DNA after the temperature jump 60° -i 90°C (pH 7), measured by a.c. polarography at peak potential Logarithmic linearization (curve 2).

Fig. 10.26 Illustration of (a) the linear sizes of crystallites showing constant growth rates with the time evolution (b) the logarithmic linear growth rate exhibiting three regimes on its temperature...

As shown in Figure 16.2.1, there is abi-logarithmic linear relationship between the pore density and the pore diameter. 

A double IDpEs based flow cell was successfully used in an impedance biosensor for the detection of E. coli 0157 H7 in a range from 8.0 to 8.2 x 10 cfii/ml after an enrichment growth of 14.7 and 0.8 h, respectively. A logarithmic linear relationship between detection time (Td) in h and initial cell concentration (Aq) in cfu/ml was 7b = - 1.73 log Aq -I-14.62, with R = 0.93. Specificity of this impedance biosensor could be ensured by the use of a... 

EIG. 6 Relationships of logarithmic linear growth rates with respect to AT for polyethylene fractions. (From Ref. 9.)... 

Fig. 6 Typical logarithmic linear regression on cloud data...

Remark.- The values of p higher than 7 are not possible according to Table 12.2, however, if two mechanisms of transport are superimposed, the obtained speeds are to be added, certainly, the law power is not valid strictly, but then, the logarithmic linearization of the curve can lead to an experimental value of p higher than 7. 

A still simpler and more accessible approach to predict the creep strain of engineering components is based on a logarithmicly linear approximation of the creep modulus, E(t) ... 

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