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＜電子ブック＞
Symbolic Dynamics of Trapezoidal Maps / by J.D. Louck, N. Metropolis
(Mathematics and Its Applications ; 27)

版	1st ed. 1986.
出版者	Dordrecht : Springer Netherlands : Imprint: Springer
出版年	1986
本文言語	英語
大きさ	VIII, 312 p : online resource
冊子体	Symbolic dynamics of trapezoidal maps / by J.D. Louck and N. Metropolis.
著者標目	*Louck, J.D author Metropolis, N author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis FREE:Analysis
一般注記	Chapters -- 1. Introduction -- 2. Endomorphisms of R Associated with Symmetric Line-Pairs in R2 -- 3. Definition of LR-Sequences for Trapezoidal Curves -- 4. LR-Sequences as Classes of Endomorphisms of R -- 5. Explicit Form for ? (T?) -- 6. A Total Ordering of LR-Sequences -- 7. Determination of LR-Sequences for Trapezoidal Curves -- 8. Proof of Theorem 4 [Part (i)] -- 9. Proof of Theorem 4 [Part (ii)] -- 10. Some Generalizations to the Parabola -- 11. Some Extensions to Arbitrary Initial Point a ? I(0,2) -- Appendices -- B. Some Properties of Lexical and Nonlexical Sequences -- C. Some Algebraic Properties of Lexical Sequences -- D. Some Properties of 1–2 Sequences -- E. Error In Reference [14] -- References 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 relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/978-94-009-4610-1

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