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(1000_2~>~0)~\&~(~0010_2~>~0)~=~true
(1000_2~>~0)~\&~(~0010_2~>~0)~=~0000_2~=~true

fwd_{Th}:=f_{Th}(  {\sigma}_{hist}(R_{hist}), n)
\frac{1}{2}
1000_2~\\~0010_2~=~(0\ne1000_2)\\(0\ne0010_2)~=~true