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Pfa and Pd in the case of real received signals, and unequal and unknown amplitudes and phases.
The study of senescence often employs human diploid fibroblasts, which exhibit a limited in vitro replicative lifespan of approximately 50 ± 10 population doublings (PD) in the case of lung fibroblasts, after which the cell cultures progressively decline [ 7, 8].
The results of the successive bone scans were considered as PD in the case of appearance of new spots, stable if not, and complete regression only if all spots disappeared.
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Proof Set p ¯ ∗ = N p / ( N − p ) if N > p, and in the case of N ≤ p, p ¯ ∗ > p is an arbitrarily fixed constant.
We only consider U Ω, a, 6 ( P ) in the case m ≥ 1, since U Ω, a, 6 ( P ) ≡ 0 for m = 0.
Calculations of positron energy levels and work functions of the positron and Ps in the case of narrow-gap semiconductors are given in the paper [35].
Open image in new window Fig. 1 A min-cost flow model for P in the case r = 2, s = 2, t = 3.
Open image in new window Fig. 2 A Hitchcock model for P in the case r = 2, s = 2, t = 3 (the edges, i.e. the variables, with i′ > j′ are omitted).
Antibiotic resistance is likely to inflict a cost on the carrying individual [ 32- 37], which we denote c C in the case of chromosome-carried resistance and c P in the case of plasmid-carried resistance.
Results obtained from liquid liquid extraction experiments show that the new compound effectively extracts both Au and Pd, improving in the case of Pd the results obtained when using the more substituted ligand.
In order to prove that { x n } is a Cauchy sequence in ( X, d ), we consider the distance d ( x n, x n + p ) in the cases p = 2 m + 1 and p = 2 m.
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