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In the increasing case, he said it was an open question whether (q_infty ) was the form of (A_infty ).
In the increasing case, he assumed there was a (tilde{q}) with (V_{tilde{q}}) dense so that for all n, one has that (q_n le tilde{q}).
For the decreasing case, replacing φ and ψ by -φ and -ψ, respectively, apply the above discussion for the increasing case.
Given the theorem, it is immediate that (q_infty ) is closed in the increasing case, since an increasing limit of lower semicontinuous functions is lower semicontinuous.
In response to my preprint, Kato wrote to me that he had an alternate proof that in the increasing case, (q_infty ) was always closed.
With the increasing case numbers and potential risk of global spread, ZIKV is becoming a great challenge to the public health of the Western Hemisphere as well as the whole world (Lazear and Diamond, 2016).
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Remark 4.5 From (2), we see that it suffices to consider the increasing cases.
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Also considered was whether improvements in mortality reflected a secular downward trend that predated the RRT, yet the mortality rate actually trended upward during the 3-year preintervention period, coinciding with the increasing case-mix index.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com