This in tandem with Statement (i) yields that begin{aligned} Q eta |_{k}) = leftlfloor frac{2^{l_1+1}-1}{k/2} rightrfloor.
In view of (3.20) and the closeness of T i, it yields that T i p ∗ = p ∗ for all i ≥ 1.
In view of (3.25) and the closeness of S i, it yields that S i p ∗ = p ∗ for all i ≥ 1.
Since the payoff function f i : S → U is a cluster-preserving single-valued mapping, from ( t ⌢ i, x ⌢ − i ) ∼ S ( x ⌢ i, x ⌢ − i ) and Definition 2.4, it yields that f i ( t ⌢ i, x ⌢ − i ) ∈ [ f i ( x ⌢ i, x ⌢ − i ) ] ; that is, f i ( t ⌢ i, x ⌢ − i ) ∼ U f i ( x ⌢ i, x ⌢ − i ).
In view of the continuity of T i P, it yields that T i P p ∗ = p ∗. Since p ∗ ∈ C, it implies that T i p ∗ = p ∗.
By virtue of the closeness of mapping S i for each i ≥ 1, it yields that p ∈ F(S i ) for each i ≥ 1, that is, p ∈ ∩ i = 1 ∞ F ( S i ).
If I yield to that tyranny, my life fills with mental clutter.
In addition, from the conditions (i) and (ii), it yields that b n = 0(λ n ) and ∑ n = 0 ∞ λ n = ∞.
Substituting (32) into (31) and performing some algebra, it yields that (i) if, then (34) namely, the two-stage detector achieves the same performance as that of the KRAO test; (ii) if, then (35) .
"I yielded because I thought that if he came away from the weekend having enjoyed himself, he would be more likely to want to see me again and want to support me," she said.
Before long, I yielded to the suggestion that I might require a bone marrow aspiration.
