A PDE proof is provided for the sharp L ∞ estimates for the complex Monge-Ampère equation which had required pluripotential theory before. The proof covers both cases of fixed background as well as degenerating background metrics. It extends to more general fully non-linear equations satisfying a structural condition, and it also gives estimates of Trudinger type.
The Haas -Drenth -Wilson (HDW) (Haas et al., 1999) theoretical model was used to correlate osmotic second virial coefficient (B) values with solubility (S) values for equine serum albumin (ESA) and ovalbumin for corresponding solution conditions. The best fit from the theoretical model was compared to experimental S versus B data. B values were experimentally measured using static light scattering. Solubilities of ESA were estimated using a sitting drop method. When the experimental data for S versus B were plotted, an excellent fit for ESA was obtained according to the HDW model. The results showed that the coordination number (z) in the crystal lattice was 6, and the adjustable parameter (A) was 0.072. For ovalbumin, previously reported solubility data in aqueous ammonium sulfate solutions were utilized. The solubility data for ovalbumin were correlated with the measured B values obtained in our laboratory. The resulting best fit from the HDW model showed that z = 6 and A = 0.084.
Laser excitation of a fast beam of Yb+ ions has been used to determine the lifetimes of the Yb II levels at 27062 cm-1 (8.10+or-0.13 ns), 33654 cm-1 (37.7+or-0.5 ns), 34575 cm-1 (28.6+or-0.4 ns) and 44941 cm-1 (20.3+or-0.3 ns). These results are compared with previous measurements and with the extensive calculation of Fawcett and Wilson (1991), with whom fair agreement is found for the level at 27062 cm-1 but marked disagreement is found for the other three levels.
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