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means_._note [2015/06/20 17:06] nikolaj |
means_._note [2016/03/09 10:34] nikolaj |
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| ===== Means . Note === | ===== Means . Note === | ||
| ==== Note ==== | ==== Note ==== | ||
| - | | @#55CCEE: context | @#55CCEE: $S\subseteq X$ | | + | | @#55CCEE: context | @#55CCEE: $S$ ... set | |
| | @#55CCEE: context | @#55CCEE: $G$ ... group | | | @#55CCEE: context | @#55CCEE: $G$ ... group | | ||
| | @#55CCEE: context | @#55CCEE: $w:S\to G$ | | | @#55CCEE: context | @#55CCEE: $w:S\to G$ | | ||
| Line 7: | Line 7: | ||
| | @#FFBB00: definiendum | @#FFBB00: $M:(S\to G)\to G$ | | | @#FFBB00: definiendum | @#FFBB00: $M:(S\to G)\to G$ | | ||
| | @#FFBB00: definiendum | @#FFBB00: $\langle f\rangle:=I(f\cdot w)\cdot I(w)^{-1}$ | | | @#FFBB00: definiendum | @#FFBB00: $\langle f\rangle:=I(f\cdot w)\cdot I(w)^{-1}$ | | ||
| + | |||
| + | Here $(f\cdot w)(s):=f(s)*w(s)$ where $*$ is the group Operation. | ||
| == Real functions == | == Real functions == | ||
| Line 27: | Line 29: | ||
| ----- | ----- | ||
| === Requirements === | === Requirements === | ||
| - | [[Function integral]] | + | [[Function integral]], [[Classical probability density function]] |
