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Spin concentration of subsystem 1 is small and corresponds to the estimated concentration of fullerene-like particles in the sample.
On the other hand, in such a case each subsystem 1, 2, …, n may be uniquely assigned what is called a mixed state represented in its Hilbert space not by a vector but by a more general object a so-called von Neumann density operator.
The rapid initial decline of the intensities I 3 and I 2 is explained by the easy accessibility of these subsystems for the gas particles, e.g., oxygen, in contrast to twice a slower decline in I 1 for subsystem 1, whose spins are encased in the fullerene-like three-dimensional structures and less available for diffusing particles.
Fig. 4 Responses of z 1 t) and z F1 t) Fig. 5 Responses of z 2 t) and z F2 t) Fig. 6 Data-packet dropout for subsystem 1 Fig. 7 Data-packet dropout for subsystem 2 Fig. 8 Response of performance.
For instance, one can observe how for δ = 0.19 the MSb1, presents a cycle of period three, i.e. the output activity of the subsystem 1 makes uninterrupted transitions between three different kinds of periodic oscillations.
Subsystem 1 is defined only for the i = N cells of the central cylinder.
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For this subsystem, (mathrm{NEGD}=1>c).
end{aligned} (20b) Subsystem (20a) is a deterministic system.
Therefore, by Corollary 3.1, subsystem (6.1) is stochastically permanent.
Then we have subsystem (3.1) of system (2.1).
Under Assumption A4, subsystem (1.4) is stochastically permanent.
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