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During coarsening, the volume fraction is not constant, approaching the equilibrium value asymptotically with time.
In the ground-based FSR system, the elevation angles α v,β v are very small and can be regarded as a constant approaching to zero.
Based on the solubility product of goethite, efficient removal of rust in Fe(III) stage requires a ligand having a stability constant approaching 1041, whereas removal of Fe(OH 2 only requires a stability constant of 1014.
This can be understood by analysing the AFM and SEM results showing that the film density increases with the deposition rate: thus, a higher value of the effective dielectric constant approaching that of the bulk material.
The results obtained differ from those previously derived using an equivalent solid diffusion model for the pellet with a single diffusional time constant, approaching this limit only when macropore diffusion is dominant.
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This can be seen by simply uniformly approximating T with a sequence of contraction mapping having Lipschitz constants approaching 1.
However, the dead time of the rapid quench instrument is 2 ms, precluding the measurement of rate constants approaching or exceeding 500 s–1.
Finally, it was demonstrated that the reduced negatively charged protein could transfer an electron to native cytochrome c with rate constants approaching those of native photosynthetic and respiratory electron transport chains.
It is observed that by increasing film thickness, elastic constants approach to those of bulk.
While not directly linking charities to her death, family and a close friend said she had been upset by the constant approaches.
"It's not as though there was a constant approach or daily text messages as happened with some newspapers," he said.
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