问题2-2:一个纸片中间剪掉了一块(大小和位置随意),如何才能直直地一剪子将剩下的纸片分成大小相等的两部分? 问题3:一个纸片中放置了另一个大小和位置随意的纸片(不超过底下的纸片的外边界),如何才能直直地一剪子将两张纸片都分成大小相等的两部分? 分析:先考虑内部的小纸片,根据之前“问题2”的分析,任意一...
Ham-Sandwich TheoremBerkeley Electronic Press Selected WorksY. Hu
Ham Sandwich Theorem 作者:Lambert M·Surhone/Mariam T·Tennoe/Susan F·Henssonow 页数:84 ISBN:9786131167478 豆瓣评分 目前无人评价 写笔记 写书评 加入购书单 分享到
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It is shown that both the ‘ham sandwich theorem’ and Richard Rado's theorem on general measure (see [6]), which is known to be a measure theoretic equivalent of E. Helly's theorem on convex sets, belong to the same family of results about geometric, extremal properties of measures ...
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In order tocontrol points where many lines are incident, we create a cell decompostionusing the polynomial ham sandwich theorem. This creates a dichotomy: eithermost of the points are in the interiors of the cells, in which case ... L Guth,NH Katz - 《Annals of Mathematics》 被引量: ...
The conclusion of the classical ham sandwich theorem of Banach and Steinhaus may be strengthened: there always exists a common bisecting hyperplane that touches each of the sets, that is, intersects the closure of each set. Hence, if the knife is smeared with mayonnaise, a cut can always be...
Center transversal theoremTopological methodsMass partitionsThe Ham-Sandwich theorem is a well-known result in geometry. It states that any d mass distributions in Rd can be simultaneously bisected by a hyperplane. The result is tight, that is, there are examples of d+1 mass distributions that ...
The 'ham sandwich theorem,' derived from the Borsuk-Ulam theorem, was discussed recently in [W. A. Beyer and A. Zardecki, Am. Math. Mon. 111, No. 1, 58–61 (2004; Zbl 1047.55500)]. It is the purpose of this note to give a proof of the Borsuk-Ulam theorem (in dimension 2) ...