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Titlebook: Introduction to Computational Origami; The World of New Com Ryuhei Uehara Book 2020 Springer Nature Singapore Pte Ltd. 2020 Computational O

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发表于 2025-3-21 19:54:20 | 显示全部楼层 |阅读模式
书目名称Introduction to Computational Origami
副标题The World of New Com
编辑Ryuhei Uehara
视频video
概述Introduces basic theorems and the latest research results.Focuses on origami from the point of view of computer science.Contains many unsolved problems, exercises, and answers to the exercises
图书封面Titlebook: Introduction to Computational Origami; The World of New Com Ryuhei Uehara Book 2020 Springer Nature Singapore Pte Ltd. 2020 Computational O
描述This book focuses on origami from the point of view of computer science. Ranging from basic theorems to the latest research results, the book introduces the considerably new and fertile research field of computational origami as computer science.. Part I introduces basic knowledge of the geometry of development, also called a net, of a solid. Part II further details the topic of nets. In the science of nets, there are numerous unresolved issues, and mathematical characterization and the development of efficient algorithms by computer are closely connected with each other. Part III discusses folding models and their computational complexity. When a folding model is fixed, to find efficient ways of folding is to propose efficient algorithms. If this is difficult, it is intractable in terms of computational complexity. This is, precisely, an area for computer science research. Part IV presents some of the latest research topics as advanced problems. Commentaries on all exercises included in the last chapter. ..The contents are organized in a self-contained way, and no previous knowledge is required. This book is suitable for undergraduate, graduate, and even high school students, as w
出版日期Book 2020
关键词Computational Origami; Computational Geometry; Algorithms; Origami; Geometry; Folding; Unfolding; algorithm
版次1
doihttps://doi.org/10.1007/978-981-15-4470-5
isbn_softcover978-981-15-4472-9
isbn_ebook978-981-15-4470-5
copyrightSpringer Nature Singapore Pte Ltd. 2020
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Ryuhei Ueharar fundamentally new phenomena when compared to the scalar case. In order to concentrate on the central concepts and ideas, we here restrict ourselves to the model case of quasilinear systems that are linear in the gradient variable. We first give two examples of elliptic systems, which admit a disco
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r fundamentally new phenomena when compared to the scalar case. In order to concentrate on the central concepts and ideas, we here restrict ourselves to the model case of quasilinear systems that are linear in the gradient variable. We first give two examples of elliptic systems, which admit a disco
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Ryuhei Ueharasition of the existence of connections.Presents a new existe.This book focuses on the vector Allen-Cahn equation, which models coexistence of three or more phases and is related to Plateau complexes – non-orientable objects with a stratified structure. The minimal solutions of the vector equation ex
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Ryuhei Ueharatable objects with a stratified structure. The minimal solutions of the vector equation exhibit an analogous structure not present in the scalar Allen-Cahn equation, which models coexistence of two phases and is related to minimal surfaces. The 1978 De Giorgi conjecture for the scalar problem was se
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f nonlocal elliptic operators.Provides important results, whNoncommutative geometry, which can rightfully claim the role of a philosophy in mathematicalstudies,undertakesto replacegoodoldnotionsofclassicalgeometry (suchas manifolds,vectorbundles, metrics, di?erentiable structures,etc. ) by their abs
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Ryuhei Ueharatry (suchas manifolds,vectorbundles, metrics, di?erentiable structures,etc. ) by their abstract operator-algebraic analogs and then to study the latter by methods of the theory of operator algebras. At ?rst sight, this pursuit of maximum possible generality harbors the danger of completely forgettin
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