In case of a fully connected transition matrix, where all transitions have a non-zero probability, this condition is fulfilled with " N " = 1.
32.
In the present method, joint probabilities of the samples are found by use of a Markov transition matrix method and this has some mathematical synergy with the bottleneck method itself.
33.
*A Turing machine, if the term means anything at all, has a discrete set of states and a well-defined transition matrix that determines how it behaves.
34.
The process is characterized by a state space, a transition matrix describing the probabilities of particular transitions, and an initial state ( or initial distribution ) across the state space.
35.
In other words, p ( x, y ) represents the one-step transition probability from x to y, and M ^ t gives the t-step transition matrix.
36.
The state transitions, transition matrixes or de Bruijn graphs are represented by a collection of N \ times N unitary matrixes U _ \ alpha, with one unitary matrix for each letter \ alpha \ in \ Sigma.
37.
This representation shows that a continuous-time Markov chain can be described by a discrete Markov chain with transition matrix " P " as defined above where jumps occur according to a Poisson process with intensity ?t.
38.
One then defines a number of different " moves " on topological representatives of " ? " that are all seen to either decrease or preserve the Perron & ndash; Frobenius eignevalue of the transition matrix.
39.
Let ( X _ n ) _ { n \ geq 0 } a Markov chain that represents the state of the lamp, with values in A = { 0, 1 } and let p be a probability transition matrix.
40.
A discrete time Markov chains ( DTMC ) with transition matrix " P " and equilibrium distribution \ pi is said to be in detailed balance if for all pairs " i " and " j ",
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