Commit 4e04c111 by Michael Wimmer

### fixing formatting, make math notation consistent

parent 317c9d06
Pipeline #57589 passed with stages
in 1 minute and 38 seconds
 ... ... @@ -79,6 +79,7 @@ \langle r^2(L) \rangle = \frac{ \sum_{k=1}^N w_k^{(L)} r^2_{k}(L)}{\sum_{k=1}^ where $r_k(L)$ is the value of the desired observable computed from polymer $k$. Let us make some observations here: 1. When generating $N$ polymers of length $L$ (disregarding the case where the polymer got stuck in the growing process), we also generate $N$ polymers of all lengths $That means the current polymer length$L'$is discarded and not used to grow further. However, the previous lengths of the polymer$k$are still used for the averages for length$This new weight is used to compute the average for length $L'$ and used to compute the weight of the polymer when grown further: e.g. if in the next step there are $m_{k, L'+1}$ possibilities to place the subunit, $w_k^{(L'+1)} = m_{k, L'+1}\, w_k^{(L'), \text{new}}$, etc. 2. *Enrichment*: If the weight $w_k^{(L')} > W_+^{(L')}$, the polymer is copied, i.e. a second copy of this polymer is added for length $L'$. The original and the copy are assigned half of the original weight, these new weights and used for all computations of averages of length $L'$ and larger. 2. *Enrichment*: If the weight $w_k^{(L')} > W_+^{(L')}$, the polymer is copied, i.e. a second copy of this polymer is added for length $L'$. The original and the copy are assigned half of the original weight. These new weights are then used for all computations of averages of length $L'$ and larger. ### Why does PERM work? ... ...
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