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ACSU computes the accumulated metric associated with the sequence of transitions (path) to reach a state.
Under the NC assumption, each (tau _i) is a singleton set, and ({{mathcal {T}}}) is a sequence of transitions.
The sequence of transitions for D′- and 2D′-bands is the same, but the processes occur within one well.
Results are obtained for chain length dependence for sequence of transitions and appearance of vesicle and wormlike phases in cationic anionic surfactant mixture.
Configurations are states of a system, and a computation consists of a sequence of transitions from one configuration to another, until a final configuration is reached.
With this technique, we compute the sequence of transitions from steady state to chaotic flow in a two-dimensional lid-driven cavity of aspect ratio 0.8, 1.0, and 1.5.
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A sequence of transition steps represents a computation.
A firing sequence from the initial state (mathbf{x}_0) (i.e., from the initial marking (m_0)) is a sequence of transition sets ({{{mathcal {T}}}} = {tau _1,tau _2,ldots,tau _k}) such that (mathbf{x}_0,[,{tau _1}>,mathbf{x}_1,[,{tauu _2}>,mathbf{x}_2>,cdots,{tauu _{k}}>,mathbf{x}_{k-1},[,tau _k>,mathbf{x}_k). The set may be also empty, of course.
After redefining the ordering matrix, we obtain a sequence of transition matrices T q corresponding to Y q = { ( y q 2 i − 1 ) : ( y i ) ∈ Y } for q = 2 k + 1, k ≥ 0. The following theorem exhibits the computation of Γ n ( Y ) and h ( Y ).
Interestingly, the rearrangements found in these studies occur via a single transition state, while those in larger NPs studied later occurred through a sequence of transition-state events.
Consequently, the renewal process can be identified as a birth-death process of cooperation, thus defining the sequence of transition events determining the decay of a coherent, long-lived structure and, possibly, the quasi-concurrent emergence of a new one.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com