我在争斗志 发表于 2025-3-21 17:41:30

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排斥 发表于 2025-3-21 20:33:44

Introduction,o be quite descriptive of the manner in which points are moved within and between subintervals of the unit interval by the action of repeated composition (generation of iterates) of a trapezoidal map; hence, its use in the title.

难取悦 发表于 2025-3-22 02:11:58

Endomorphisms of R Associated with Symmetric Line-Pairs in R2,f obtained by repeated composition of the two lines ζx and ζ(2–x) occurring in Eq. (1.1), and of their inverses. Thus, for each x ε R, and for each fixed real parameter ζ with domain R-{0}, the transformations L. and R. are defined, respectively, by..

AMOR 发表于 2025-3-22 05:03:01

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BLANK 发表于 2025-3-22 09:04:23

Proof of Theorem 4 ,equences beginning with R. (ℓ ≥ 2) on the right, the proof of the theorem has already been given in the proof of Theorem 5 . (b) The proof of this theorem draws on Theorems 4 , Corollary . (see the Remarks at the end of Chapter 7), the results of the previous chapter summar

杠杆 发表于 2025-3-22 14:27:00

,Some Extensions to Arbitrary Initial Point a ε I(0,2), with initial point a=1 to the general case a ε I(0,2) discussed in the Introduction. Many of the results given earlier for a=1 have an obvious generalization; these are summarized below without detailed proofs, beginning with relations that generalize those of Chapter 2.

你正派 发表于 2025-3-22 18:18:24

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myopia 发表于 2025-3-23 00:03:30

Proof of Theorem 4 ,oped in Appendices B and D. Accordingly, its proof must be regarded as quite difficult. The proof is given in Lemmas 18–19 below, which assert important properties of the .-functions of nonlexical sequences.

exacerbate 发表于 2025-3-23 04:33:46

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seduce 发表于 2025-3-23 05:42:57

Mathematics and Its Applicationshttp://image.papertrans.cn/t/image/883826.jpg
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查看完整版本: Titlebook: Symbolic Dynamics of Trapezoidal Maps; J. D. Louck,N. Metropolis Book 1986 D. Reidel Publishing Company, Dordrecht, Holland 1986 filtering