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搜索结果: 1-6 共查到数学 Continued fractions相关记录6条 . 查询时间(0.078 秒)
We establish new combinatorial transcendence criteria for continued fraction expansions. Let α = [0; a1, a2, . . .] be an algebraic number of degree at least three. One of our criteria implies that th...
The goal of this paper is to provide a link between the parameter spaces of two families of one-dimensional dynamical systems, and to shed some light onto some sets of numbers which arise as “exceptio...
We construct a natural extension for each of Nakada's $\alpha$-continued fractions and show the continuity as a function of $\alpha$ of both the entropy and the measure of the natural extension domai...
In this note, we study the l´evy constant of continued fraction expansions. We show that for all x ∈ [0, 1), the upper l´evy constant of x is finite except a set with Hausdorff dimension ...
We find a generating function expressed as a continued fraction that enumerates ordered trees by the number of vertices at different levels. Several Catalan problems are mapped to an ordered-tree pro...

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