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Based on the proposed distance function, we define the stability of a trajectory and present sufficient Lyapunov-type conditions for hybrid system with state-triggered jumps.
We first define the stability of a network as follows.
All these findings seem to be very useful to define the stability of ZnS nanoparticles during synthesis in aqueous micellar media.
In this section we first introduce a class of stochastic systems and define the stability in probability of nontrivial solutions of this system.
Therefore, we can define the stability factor [17] of CC t) as Equation 5. ζ CC ( t ) = V CC ( t ) ⋂ V CC ( t + 1 ) V CC ( t ) ⋃ V CC ( t + 1 ) (5).
FBXW8 associates with CUL1 or CUL7 and forms a complex with SKP1 and RBX1 (Fig. 4B lane 2; [ref. 22], [23]), suggesting that CUL1 and CUL7 define the stability of cyclin D1 through FBXW8.
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Cage molecules can be designed to have a great range of intermolecular interactions, which thereby define the stabilities of the assemblies.
They also emphasize the relevance of these different types of clusters in the amorphous phase in defining the stability of the glass and the types of thermal crystallization.
The results are discussed in terms of compositional and topological aspects emphasizing the relevance of the different types of clusters in the amorphous phase in defining the stability of the glass and the types of thermal crystallisation.
In addition, the unsteady adjoint technique is used to determine the frequency of vibration that would drive the system to limit-cycle, which defines the stability limit of the cascade.
Depending on how the factors of safety are defined, the stability numbers computed using the two definitions may be different, and so the design charts prepared in each approach should be assessed with caution.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com