Thus, from a physical standpoint, there must exist accumulation of the nanoparticles elsewhere, which accounts for the delay in appearance of the drug in the liver, spleen, and kidneys.
By the boundedness of, we obtain that Since is continuous and the sequences and are bounded, there exists an accumulation point of such that.
Given that biomass harvesting is a labour and time consuming operation, a paucity of information currently exists on accumulation and standing stocks in biomass in CWs, in particular in North Western European countries.
This means that there exist an accumulation point (d^) and the corresponding infinite set (N_{1}) such that lim_{k rightarrow infty }d_{k} =d^,quad k in N_{1}.
Since the sequence ({ X_{k} }) generated in Algorithm 1 is bounded, there exist an accumulation point (X^{bigstar} ) and a subsequence ({ X_{kj} }) such that (lim_{j toinfty} X_{kj} = X^{bigstar} ).
Case 1. lim sup k → ∞ γ m k > 0. This case must follow that lim inf k → ∞ ∥ r ( x k ) ∥ = 0. Since { x k } is bounded, there exists an accumulation point x ¯ of { x k }.
Case 1. lim sup k → ∞ γ m n k + p > 0. This case must follow that lim inf k → ∞ ∥ r ( x n k + p ) ∥ = 0. Since { x n k + p } is bounded, there exists an accumulation point x ̄ of { x n k + p }.
These are because that the As was first adsorbed by the surface of activated sludge and then transferred into the interior of microorganisms and participate in the metabolic activity, and the rate of metabolism was lower and there exist some accumulation of As in the interior of microorganisms.
By the boundedness of { η i }, it follows from (3.9) that lim i → ∞ ∥ r 1 ( x i, u i ) ∥ = 0. Since r 1 is continuous and the sequences { x i } and { u i } are bounded, there exists an accumulation point ( x ¯, u ¯ ) of { ( x i, u i ) } such that r 1 ( x ¯, u ¯ ) = 0.
Because of the continuity of g, there exists an accumulation point g ( x ¯ ) ∈ C of the sequence { g ( x n ) } n ∈ N ; for the subsequence { g ( x j ) } j ∈ N ¯, we have { g ( x j ) } j ∈ N ¯ → g ( x ¯ ) as j → ∞.
Future investigations at the molecular level should be carried out to clarify if any mechanistic relationship exists between accumulation of fluorene, phenanthrene, anthracene, and pyrene and the contemporary induction of both peroxisomal proliferation and GST as indicated by PCA analysis in snails from site 3.
