The informal statement that gave the ham sandwich theorem its name is this: For every sandwich made of ham, cheese, and bread, there is a planar cut that simultaneously halves the ham, the cheese, and the bread. The mathematical ham sandwich theorem says that any d (finite) mass distributions in ℝd can be simultaneously bisected by a hyperplane: This geometric result has many interesting consequences.
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© 2008 Springer-Verlag Berlin Heidelberg
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(2008). Direct Applications of Borsuk–Ulam. In: Using the Borsuk–Ulam Theorem. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76649-0_3
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DOI: https://doi.org/10.1007/978-3-540-76649-0_3
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