Sentence examples for for every ii from inspiring English sources
(i) for every, (ii) for each, and let for all, where for some with.
Assume that the following conditions are satisfied: (i) for every, (ii) for every, (iii), where is a projection with.
(i) is a nonempty subset of such that for every, (ii), (iii) satisfies (1.1), (1.6), or (1.2) for each.
A competitive market equilibrium is a power distribution such that (i) (user optimality) is a maximizer of (1) given, and for every ; (ii) (market efficiency),, for all.
Let be a family of nonnegative numbers with indices n, with k ≤ n such that (i) for every ; (ii) for every .
If, then the following properties hold: (i) for every, ; (ii) for every and every the sequence (2.1) belongs to and, (iii) (see, e.g., [30, Lemma 2.1]); (iv) if, then the sequence also belongs to and. . for every, ; for every and every the sequence (2.1).
The function is called the exhaustion function of the manifold if the following two conditions are satisfied: (i for all, the -ball is compact; (ii)for every sequence with, the sequence of -balls generates an exhaustion of, that is, (4.3).
We consider the following two cases: (i) (alpha<psi epsilon+beta)) holds <span class="lh">for every (beta>0); (ii) there exists (delta_{1} >0) such that (alpha=psi epsilon+delta_{1})).
(i) for every, and ; (ii) ; (iii)for every and every, (4.1).
The solution to the above Cauchy problem is defined in the whole real line and takes values in (]0,1[) provided that f satisfies the conditions (i) there exists (k>0) such that (f u le ku) for every (uin[0,1]), (ii) there exists (l>0) such that (f u le l 1-u)) for every (uin[0,1]) (see [21, 22]).
The optimization problem comprises i) selecting the appropriate relay operation mode (i.e., helping none, only one, or both sources simultaneously) for every subcarrier, ii) choosing the best decoding orders at the relay (if active) and at the destination for every subcarrier, and iii) allocating the powers on each subcarrier at the transmitting terminals.
