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Titlebook: Bodies of Constant Width; An Introduction to C Horst Martini,Luis Montejano,Déborah Oliveros Textbook 2019 Springer Nature Switzerland AG 2

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發(fā)表于 2025-3-21 18:43:50 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Bodies of Constant Width
期刊簡稱An Introduction to C
影響因子2023Horst Martini,Luis Montejano,Déborah Oliveros
視頻videohttp://file.papertrans.cn/190/189522/189522.mp4
發(fā)行地址Provides an extensive exploration of constant width bodies.Offers ample exercises that help readers understand specific topics within convex geometry.Gives instructors a wealth of material to use in a
圖書封面Titlebook: Bodies of Constant Width; An Introduction to C Horst Martini,Luis Montejano,Déborah Oliveros Textbook 2019 Springer Nature Switzerland AG 2
影響因子This is the first comprehensive monograph to thoroughly investigate constant width bodies, which is a classic area of interest within convex geometry. It examines bodies of constant width from several points of view, and, in doing so, shows surprising connections between various areas of mathematics. Concise explanations and detailed proofs demonstrate the many interesting properties and applications of these bodies. Numerous instructive diagrams are provided throughout to illustrate these concepts..An introduction to convexity theory is first provided, and the basic properties of constant width bodies are then presented. The book then delves into a number of related topics, which include.?.Constant width bodies in convexity (sections and projections, complete and reduced sets, mixed volumes, and further partial fields).Sets of constant width in non-Euclidean geometries (in real Banach spaces, and in hyperbolic, spherical, and further non-Euclidean spaces).The concept of constant width in analysis (using Fourier series, spherical integration, and other related methods).Sets of constant width in differential geometry (using systems of lines and discussing notions like curvature, evo
Pindex Textbook 2019
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發(fā)表于 2025-3-21 20:58:38 | 只看該作者
Examples and Constructions,tant width with the help of special embeddings of self-dual graphs. In Section?., we will give a procedure of finitely many steps to construct 3-dimensional constant width bodies from Reuleaux polygons, and in Section?., we will construct constant width bodies with analytic boundaries.
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發(fā)表于 2025-3-22 13:48:44 | 只看該作者
https://doi.org/10.1007/b138658uded that they must all have at least one section that is not of constant width. To show this could, however, be tricky, even in cases as simple as the body produced by rotating the Reuleaux triangle around one of its axes of symmetry.
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發(fā)表于 2025-3-22 23:22:10 | 只看該作者
https://doi.org/10.1007/b138658 the Reuleaux triangle, may be used as a cylindrical roller. Besides this nice property, the curves of constant width, in particular, the Reuleaux triangle, have been exploited by engineers, artists, and designers to obtain wonderful objects and number of ingenious mechanisms.
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發(fā)表于 2025-3-23 02:35:27 | 只看該作者
Bodies of Constant Width in Art, Design, and Engineering, the Reuleaux triangle, may be used as a cylindrical roller. Besides this nice property, the curves of constant width, in particular, the Reuleaux triangle, have been exploited by engineers, artists, and designers to obtain wonderful objects and number of ingenious mechanisms.
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發(fā)表于 2025-3-23 05:32:45 | 只看該作者
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