ham sandwich theorem

English edit

 
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Etymology edit

By analogy with cutting a sandwich having three layers (two of bread and one of ham), for the case where n=3.

Proper noun edit

the ham sandwich theorem

  1. (mathematics) A theorem stating that, given n measurable "objects" in n-dimensional Euclidean space, it is possible to divide all of them in half (with respect to their measure, i.e. volume) with a single (n−1)-dimensional hyperplane.

See also edit