11H71 4 26A46 93B17 3 tail set 3 \(G_2\)-representation of numbers 2 cylindrical set (cylinder) 2 group of continuous transformations of real interval preserving tails 2 left and right shift operator 2 two-symbol system of encoding (representation) of numbers 2 93B1 1 \(\Delta^{\mu}\)-representation 1 continuous transformation of \((0,1]\) preserving ``tails'' of \(\Delta^{\mu}\)-representation of numbers 1 continuous transformation of interval 1 cylinder 1 function preserving ``tails'' of \(\Delta^{\mu}\)-representation of numbers 1 left and right shift operators 1 tail of representation of number 1 two-symbol system of encoding for real numbers with two bases having different signs (\(G_2\)-representation) 1