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The temperature is the same for both states, but, in going from state i to state f, the gas expands from Vi to Vf (doing work), and the pressure falls from Pi to Pf.
When a birth, i.e., repair occurs, the process goes from state i to state i + 1.
Denote the transition probability of energy state from state i to state j as p ij.
The transition from state i to state j occurs with per capita rate α i j.
Similarly, when death, i.e., failure occurs, the process goes from state i to state i−1.
The probability of transition from state i to state j in the Markov model is channel transition probability.
Weibull distribution scale parameter for the time duration in ith state and related to state i to state j transition.
A transfer rate is zero whenever there is no direct movement from state i to state j.
Meanwhile, the probability of jumping from state i to state D (Destination) is 1/ (N + 1 - i).
Where the sums over j range over all possible destination states, and m ij is the occurrence/exposure rate of movement from state i to state j.
Location parameter, mean, of log-normal distribution for the time duration in ith state and related to state i to state j transition.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com