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symmetrized_reduced_distribution_function [2013/11/06 19:14] nikolaj |
symmetrized_reduced_distribution_function [2014/03/21 11:11] (current) |
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===== Symmetrized reduced distribution function === | ===== Symmetrized reduced distribution function === | ||
- | ==== Definition ==== | + | ==== Set ==== |
- | | @#88DDEE: $ \bar f_s $ ... Reduced distribution function | | + | | @#55CCEE: context | @#55CCEE: $ \bar f_s $ ... Reduced distribution function | |
- | | @#FFBB00: $f_s:=\frac{1}{s!}\sum_\pi \bar f_s$ | | + | | @#FFBB00: definiendum | @#FFBB00: $f_s:=\frac{1}{s!}\sum_\pi \bar f_s$ | |
where $\sum_\pi$ is the sum over argument-permutations, e.g. | where $\sum_\pi$ is the sum over argument-permutations, e.g. | ||
- | $\sum_\pi\ g(a,b,c)\equivg(a,b,c)+g(c,a,b)+g(b,c,a)+g(a,c,b)+g(b,a,c)+g(c,b,a)$. | + | $\sum_\pi\ g(a,b,c)\equiv g(a,b,c)+g(c,a,b)+g(b,c,a)+g(a,c,b)+g(b,a,c)+g(c,b,a)$. |
==== Discussion ==== | ==== Discussion ==== | ||
Relevant for discussions of kinetics on the intermediate level $f_1$ and $f_2$. And maybe $f_3$ if you're mad enough. | Relevant for discussions of kinetics on the intermediate level $f_1$ and $f_2$. And maybe $f_3$ if you're mad enough. | ||
+ | |||
+ | Notice that if $\bar f_s$ is already a symmetric function, $f_s=\bar f_s$. | ||
==== Parents ==== | ==== Parents ==== | ||
- | === Requirements === | + | === Context === |
[[Reduced distribution function]] | [[Reduced distribution function]] |