The Early History of the Ham Sandwich Theorem
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چکیده
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The Early History of the Ham Sandwich Theorem
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The ham-sandwich theorem states that, given d ≥ 2 measures in R, it is possible to divide all of them in half with a single (d − 1)-dimensional hyperplane. We study an orthogonal version of the ham-sandwich theorem and define an orthogonal cut using at most d hyperplanes orthogonal to coordinate axes. For example, a hyperplane orthogonal to a coordinate axis and the boundary of an orthant are o...
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ژورنال
عنوان ژورنال: The American Mathematical Monthly
سال: 2004
ISSN: 0002-9890,1930-0972
DOI: 10.1080/00029890.2004.11920050