Initial data commit
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MA[x_List, r_] := Join[Table[Mean[x[[1;;y]]],{y,r-1}], MovingAverage[x,r]]
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MAData = {{}, 0};
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MAS[x_, t_: Null] :=
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With[{r = If[t === Null, MAData[[2]], t]},
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Mean[MAData[[1]] =
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If[Length[#] > (MAData[[2]] = r), #[[-r ;; -1]], #] &@
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Append[MAData[[1]], x]]]
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