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Ham sandwich theorem : ウィキペディア英語版 | Ham sandwich theorem
In mathematical measure theory, the sandwich theorem states that given measurable "objects" in -dimensional space, it is possible to divide all of them in half (with respect to their measure, i.e. volume) with a single -dimensional hyperplane. It was proposed by Hugo Steinhaus and proved by Stefan Banach (explicitly in dimension 3, without bothering to automatically state the theorem in the n-dimensional case), and also years later called the Stone–Tukey theorem after Arthur H. Stone and John Tukey, ==Naming==
The ham sandwich theorem takes its name from the case when and the three objects of any shape are a chunk of ham and two chunks of bread — notionally, a sandwich — which can then all be simultaneously bisected with a single cut (i.e., a plane). In two dimensions, the theorem is known as the pancake theorem because of having to cut two infinitesimally thin pancakes on a plate each in half with a single cut (i.e., a straight line).
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Ham sandwich theorem」の詳細全文を読む
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