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A theorem which would make both my list of 10 favorite theorems and my list of 10 most influential theorems. . .
In 1962 the mathematicians David Gale and Lloyd Shapley published an important paper that dealt with the pairing of the members of two equal sized non-overlapping groups with each other in a "stable" manner. The two groups, the opposite sides of the two-sided market, are often described as men and women and the pairings are often referred to as "marriages."… (More)
All Rights Reserved iii This manuscript has been read and accepted for the Graduate Faculty in Mathematics in satisfaction of the dissertation requirements for the degree of Doctor of Philosophy. Suppose that n sensors are deployed on a one-dimensional region (a strip, or interval) that we wish to cover with a wireless sensor network. Each sensor is… (More)