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Titlebook: Symbolic Dynamics of Trapezoidal Maps; J. D. Louck,N. Metropolis Book 1986 D. Reidel Publishing Company, Dordrecht, Holland 1986 filtering

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发表于 2025-3-21 17:41:30 | 显示全部楼层 |阅读模式
书目名称Symbolic Dynamics of Trapezoidal Maps
编辑J. D. Louck,N. Metropolis
视频video
丛书名称Mathematics and Its Applications
图书封面Titlebook: Symbolic Dynamics of Trapezoidal Maps;  J. D. Louck,N. Metropolis Book 1986 D. Reidel Publishing Company, Dordrecht, Holland 1986 filtering
描述It isn‘t that they can‘t see the solution. It is Approach your problems from the right end and begin with the answers. Then one day, that they can‘t see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father The Hermit Gad in Crane Feathers‘ in R. Brown The point of a Pin‘. van GuIik‘s The Chinese Maze Murders. Growing speciaIization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non­ trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are re
出版日期Book 1986
关键词filtering; integrable system; measure; measure theory
版次1
doihttps://doi.org/10.1007/978-94-009-4610-1
isbn_softcover978-94-010-8548-9
isbn_ebook978-94-009-4610-1
copyrightD. Reidel Publishing Company, Dordrecht, Holland 1986
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发表于 2025-3-21 20:33:44 | 显示全部楼层
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.
发表于 2025-3-22 02:11:58 | 显示全部楼层
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..
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Proof of Theorem 4 [Part (ii)],equences beginning with R. (ℓ ≥ 2) on the right, the proof of the theorem has already been given in the proof of Theorem 5 [see Eqs. (7.6)]. (b) The proof of this theorem draws on Theorems 4 [part (i)], Corollary . (see the Remarks at the end of Chapter 7), the results of the previous chapter summar
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,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.
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Proof of Theorem 4 [Part (ii)],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.
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