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    Shift Transformation

    Definition

    The transformation T(x) | = | frac(1/x) | = | 1/x - ⌊1/x ⌋, where frac(x) is the fractional part of x and ⌊x⌋ is the floor function, that takes a continued fraction [a_1, a_2, ...] to [a_2, a_3, ...].

    Related term

    Gauss-Kuzmin-Wirsing constant

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