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16 Jul 2020: Suppose also that along the boundary the true solution u and its normal derivative liein Hs() for some s 0 and we approximate the coefficients ajl ,b. ... is not restrictive for convex for smooth enough boundary data (the corner singular-ities that could

16 Jul 2020: 𝑓𝑋(0) = 𝑟𝑓𝑋(1)for some known given parameter 𝑟 0. Most of our analysis also carries over to complex 𝑟, aslong as 𝑟 1 (the PDE (2) is degenerate irregular ... For instance, the integral representation is much easier to construct

17 Feb 2020: some lessons that are common to all transitions. 5.1 Liquid-Gas Transition. ... must survive in some neighbourhood of B = 0. One of these solutions is again unstable.

22 Jul 2020: framework above. Let’s suppose we start from some point in theory space. ... the critical point, we must tune this to zero. It may be more natural to tune B = 0 in some systems that others.

16 Jul 2020: where a, b, A, B, d are given (sufficiently smooth) functions and c is some constant. ... Some simple examples are shown below, where we choose λ to avoidbranch-cuts/singularities in the domain.

5 Oct 2020: Hence all fluid particles return to theirstarting position. There as some nice videos demonstarting this. ... a recipricating motion. Again there are some nicevideos of G.I.Taylor demonstration this.

14 Apr 2020: Human societies, especially those with democratic aspirations, need some understanding of the tools they use. ... it's a matter of some percentage of one and some percentage of the other.

6 Dec 2020: Suppose. that (a) holds for m < pµ with epµ = êµ together with (b) and (c) for j µ and some µ < M. ... b) ‖PQnej‖ C2(j)rn for any j Θ,. 16. for some constants C1(µ) and C2(j).

18 Sep 2020: Hence all fluid particles return to theirstarting position. There as some nice videos demonstarting this. ... a recipricating motion. Again there are some nicevideos of G.I.Taylor demonstration this.

24 Nov 2020: Models are partial,approximate representations of reality, with some models fitting better than others. ... With very little algebra, but some careful thought, we can in fact guess allthe six normal modes vectors.