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The shrinking sphere model is a good representation of the kinetics if particle size distribution is accounted for.
Destruction kinetics was described by shrinking sphere model and the reaction constant was used as a measure of aggregate water stability.
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Much of their book attempts to match the challenges of current life — a shrinking manufacturing sphere, a global labor surplus, a mire of race-inflected socioeconomic traps — with Marx's quite specific precepts about the nineteenth-century European economy.
Considering the enormous pressure generated by these present-day trends, I asked Chan and Lee if any bright spots remain in Hong Kong's rapidly shrinking autonomous sphere.
When brokers shrank their sphere of intervention from the system to an organisation, the centralised stakeholder network in Somaliland, by nature of the relationships between brokers, suffered a bottleneck and therefore a barrier to systems thinking.
This kind of detente ultimately favors Russia's involvement, but only in the gradually-shrinking sphere of influence that is gradually shrinking around the Assad regime.
Instead, as he embarked on a campaign to make Russia once again a velikaya derzhava (great power) — a small man's drive to pump up the shrinking post-Soviet sphere of influence — sports would dominate his tenure.
But if valuations in the public sphere are shrinking, that boosts the discrepancy between what the general populace will pay for your equity and what you last sold it at to private kids.
It is interesting to note that the smaller sphere C shrank faster than the larger sphere B. This means that wires grown from small spheres grow faster than those that grow from large spheres.
Why? Because, in reality, it is an approach that has shrunk the political sphere and eroded the democratic process.
The observed combustion rates match closely the predictions of a shrinking-sphere mathematical model, and are limited by the chemical reaction rate at the particle surface.
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