Field versus Scaling Theories

Fig. 4.10 Influence of intracluster multiple scattering on scattoing intensity acetnding to the mean field theory, correction factor d from Eq. (4.54) versus scaled primary particle size ka for different aggregate types and varying aggregation number (N = 10, 32, 100, 300 and 1000) Ze// Xi02 in water right carbon black in air...

When the statistieally sophisticated psychologists realized what I was doing, they had a field day pointing out my failings unjustified assumptions, violations of statistical theory and other mathematical crimes. They talked about ordinal scales versus ratio scales and scolded me for not using analysis of variance instead of Chi-square and Student s T tests of significance. 

Temperature dependence of interfacial tension of demixed polystyrene/poly (dimethylsiloxane) melts was studied by Nose (1997) using the sessile drop technique. The results were described as a scaled relation of reduced interfacial tension versus reduced segregation strength. The scaled relation was discussed on the basis of the mean-field theory, and a semiempirical expression has been presented for the scaled relation covering a wide temperature range. 

FIGURE 15.9 Ramsey interference signals using two n/2-pulses separated by a time T = 900 p-s. The signals are plotted versus the rf co and also as a function of magnetic field in nT. (a) Theoretical signal, scaled to have the same amplitude as the experimental result, (b) Measured Ramsey interference, in excellent agreement with the theory. 

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