Direct Applications of Borsuk–Ulam
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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 ℝ d can be simultaneously bisected by a hyperplane: This geometric result has many interesting consequences.
KeywordsChromatic Number Moment Curve Proper Coloring Open Hemisphere Ulam Theorem
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