## Generalizations of continued fractions |

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an=bn argument similar bound is taken class F Consequently the f-expansions constant Cornell University Corollary correspondence between f-expansions decreasing sequence defined denote denumerable number dimension number element end-point in common f a^+f f cn+l f cx+f f satisfies f-expansion 7.SI f-expansion converges f-expansion f f-expansion of x f-expansions and f-expansions f-expansions of numbers f»Fp finite f-expansion Hausdorff intervals the sum least upper bound less than unity Let f(t lies between f mean the measure measure zero monotonicity of f(t number not greater number of sets numbers x one-to-one correspondence points n,bn positive integers previous considerations proof of Lemma proof of Theorem prove THEOREM s>dim satisfies 9.21 sequence of positive set of f-expansions set of intervals set of x sets of measure sets of numbers simple continued fraction statistically independent tegers Theorem 8.1