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Exact(2)
Then for every, exists, in particular, for all and,.
Moreover, for every, exists and is continuous on so that efficient gradient projection algorithms could be used to approximate the max-min power allocation for any power constraints if the algorithms were global convergent for some sufficiently large (as discussed before).
Similar(58)
(i) is -upper semicontinuous, that is, for every and every there exists such that for every ; (ii there exist, and such that for every with, there exists satisfying (3.18).
Assumption (ii) implies that for every, there exists, such that for every, (5.6).
Then, for every, there exists a positive constant such that for every Carathéodory function satisfying (2.30).
Thus researchers, they warned, should refrain from assuming that every feature exists for some adaptive purpose.
Then, for every and, exists.
Hence for every there exists such that.
Then, for every there exists such that.
(iii)for every there exists such that.
For every there exists such that for.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com