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After an Emden Fowler transformation, the inequality can be rewritten as an optimal inequality of logarithmic Sobolev type on the cylinder.
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Therefore, it is of great interest to obtain optimal inequalities for the Casorati curvatures of submanifolds in different ambient spaces.
We prove that the multilinear Bohnenblust Hille inequality is a particular case of a quite general family of optimal inequalities.
These constants are provably optimal for the inequality of interest.
But one of the challenges in terms of having, say a goal on income inequality, is deciding what the optimal level of inequality would be?
We modeled the public health benefits and the change in the spatial inequality of health risk for a number of hypothetical control scenarios for power plants in the United States to determine optimal control strategies.
How can we reduce inequality of opportunity?
Inequality of incomes is higher still.
Inequality of wealth will boom.
Inequality of wealth has doubled.
Rather, Mill's concern in this passage is with inequalities derived from inequality of opportunity and those inequalities that perpetuate inequality of opportunity.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com