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end{aligned} Moreover, (Gin B({x},varepsilon capkappa(A)) implies (Gsubseteq B x,varepsilon)) and (Gsubseteq A), consequently, (y_{0}in B x,varepsilon cap A).
A consequently small sample of 27 incidents is thus plotted in Figures 16a and b, with data points in Figure 16a colour coded according to the dominant cause of fatalities.
A consequently reduced stability of the coexistence equilibrium may result in the sexual parent ousting the asexual mutant over time, for example if the latter accumulates deleterious mutations [26], [27].
As a consequently, the permeability of these sand-packs could fully recover.
The LOD increase determines a higher σ 1, a lower hoop stress (σ H) and a consequently larger differential stress favouring rupture.
In addition, the specimen that was ion-nitrided by atomic attrition exhibited a higher nitrogen concentration and a consequently greater quantity of chromium nitrides at the surface region, when compared to a single nitrided specimen.
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Thus, (W x)) is a Lyapunov function with respect to a. Consequently, the equilibrium set ({mathcal{A}}) is stable.
We assert that T has no fixed point in X a. Indeed, if x = T x, then x = 1 + 1 + 4 λ 2 ≤ a. Consequently, Theorem 4.4 guarantees that ( X a, M, ∗ ) is not complete.
Thus, by (3), we get a = a ( a θ ) r − 1 a ′ a ; in other words, a ∈ Reg A. Consequently, A is regular.
The latter are not identified as UE due to the lack of corresponding partner neurons in the recording (Fig. 9 A ). Consequently, the phase histogram of the ISO spikes is a superposition of the histograms of nonassembly and assembly spikes, with a factor γ determining their ratio (Fig. 9 B, top row).
Since T is maximal monotone, we have x ˆ ∈ T − 1 0 and hence x ˆ ∈ VI ( C, A ). Consequently, x ˆ ∈ Fix ( S ) ∩ Ξ ∩ VI ( C, A ).
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