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Additive combinatorics Problem Set 1 1. (Just checking you can use Cauchy-Schwarz) Suppose that S and T are nonempty finite sets and Ď a map from S to T show that â t |Ďâ1(t)|2 ⼠|S| 2 |T | . (This...
1. Verify that a solution to the heat equation (1.1) on the domain ââ < x < â, t > 0 is given by u(x, t) = 1â 4Ďkt eâx2/4kt. For a fixed time, the reader should recognize this solution as a...
During Term 1 of the course, a formative assessment (Case Study presentation) was organized during where you worked in groups and presented to the tutorial group. You will submit your work to...