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Topics: Schauder and L2 estimates for elliptic and parabolic equations; De Giorgi-Nash-Moser theory for elliptic equations; nonlinear equations such as the minimal surface equation, geometric flow problems, and nonlinear hyperbolic equations. Mathematics has far less redundancy than words do. Likewise n[ m means that m=kn for some positive integer k. The odd girth (even girth) of a graph is the length of a shortest odd (even) cycle. We assert that our model of the natural numbers, with the ordering defined in our discussion of P4, has the property that if ∅ = S ⊂ N then there is an element s ∈ S such that s < t for every s = t ∈ S.

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