 ### fix math error

parent f839d649
Pipeline #58147 passed with stages
in 1 minute and 39 seconds
 ... ... @@ -156,7 +156,7 @@ with probability $\omega_{XX^\prime}$. This is the so-called "trial move". We th i.e. set $R_{i+1} = R'$. If we don't accept it, we take the old state again, $R_{i+1} = R$. Altogether, the probability of going to a state new state ($T(X^\prime \rightarrow X)$) is the product of proposing it ($\omega_{RR^\prime}$) and accepting it ($A_{RR^\prime})$. The problem can we further simplified by demanding that $\omega_{RR^\prime}=\omega_{R^\prime R} - the trial move should have a symmetric probability of going from$R$to$R^\prime$The problem can we further simplified by demanding that$\omega_{RR^\prime}=\omega_{R^\prime R}$- the trial move should have a symmetric probability of going from$R$to$R^\prime\$ and vice versa. The detailed balance equation then reduces to: $$\frac{A_{R^\prime R}}{A_{RR^\prime}} = \frac{p(R)}{p(R^\prime)} \tag{4}$$ Metropolis \emph{et al.} solved this as: ... ...
Markdown is supported
0% or .
You are about to add 0 people to the discussion. Proceed with caution.
Finish editing this message first!