HIV, on the other hand, is more concentrated in urban areas where the supply of health workers is more abundant, suggesting that this measure of need will cause a reduction in the implied inequalities in the distribution of health workers.
Hence inequality (4) implies inequality (5).
Note that the inequality between the means does not imply stochastic inequality; however, it can be proven mathematically that stochastic inequality implies inequality between means and medians.
This implies that inequality in living standards increased even more sharply over the period than inequality in market income alone.
The highest AF's were found in the youngest age group, which implies that inequality in smoking is increasing over time in both countries.
In the article you imply that inequality in London is partly owing to Margaret Thatcher.
This implies the inequalities in the statement of the lemma.
The presence of such spillover effects, with patients in one LA willing to accept beds in nearby LAs, implies that inequalities in care home availability across LAs may be of less concern than the total supply of care home beds.
Corollary 2.3 also is the generalization of the Theorem 3.1 of Enjouji et al. [14], since by symmetry, the inequality (3.3) in [14] implies the inequality (1) in Theorem 1.1.
For reasons of simplicity, population levels have come to be a popular indicator of need in many practical applications, implying that inequalities in the distribution of health workers have been characterized by inequalities in the number of health workers per capita [ 19, 20].
