The machine capacity process is assumed to be a finite state Markov chain.
Assuming the cell pair to be a finite state system, being either in an unfrozen state (no ice in either cell), a singlet state (IIF in one cell only), or a doublet state (IIF in both cells), the kinetics of state transitions were theoretically modeled and cryomicroscopically measured.
Let be double root tree and let be a finite state space, and let be a collection of -valued random variables defined on the probability space.
Let be an arbitrary tree that is partly finite, let be a finite state space, and let be a collection of -valued random variables defined on the probability space.
Definition 3 Let G = (1, 2,..., N) be a finite state space, and P = ( p ( k | l, m ) ), m, l, k ∈ G (27). be a second-order transition matrix.
Definition 2 Let T be a general infinite tree, G = {1, 2,..., N} be a finite state space, and {X t, t ∈ T} be a collection of G-valued random variables defined on the probability space ( Ω, F, P ).
Let T be a locally finite, infinite tree, S be a finite state-space, { X t, t ∈ T } be a collection of S-valued random variables defined on the probability space ( Ω, F, P ).
where (a t ) t≥0 is a finite state space Markov process.
The lyrics recognition grammar was a finite state automaton constructed from the lyrics in the queried database.
We will elaborate further on this in Section 4. A timed automaton (TA) is a finite state machine extended with real-valued clocks and constraints on clocks.
In a random walk, the node-visiting sequence of the walker is a finite state Markov chain, which is only related to the currently visited node rather than the previous sequence of nodes.
