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19 Jul 2019: the Fermi surface in the presence of a lattice. Let’s recapitulate some important facts. ... First, some basic lattice facts. We described the honeycomb lattice in Section 2.2.1.

4 Nov 2019: Annelitold me recently that she acquired some of the same Beatles cards in Finland. ... Some pieces were heavier steps made of planks. When the frames were ready,.

27 Apr 2019: A common estimate in thesupersonic cascade at M 1 is ζ (1) 0.5, with some decrease asM approaches 1. ... ofthe turbulence; (b) the velocity components identified by the sheartensor S are genuinely turbulent, and not some other (gravitational,outflow,

25 Mar 2019: The symmetry may hold for some terms in the Lagrangian,but not others. ... The first is baryon-number violation. There must be some pro-cess between state X and state Y which yields a baryon excess (B):X Y B.32 32 This is

19 Jul 2019: the Statistical Physics lectures. The term in (8.10) that is quadratic in B is some-. ... transitions. The fact that some transitions are forbidden is referred to as selection rules.

30 Dec 2019: All Lorentzian Einstein–Weyl structures arise from some anti-self-dual (M,g,K). The final step to realising (B) is the occurrence of the SU()-Toda equation (1.1). ... for some one-form A on M, as the LHS is holomorphic on CP1 and homogeneous of degree

7 May 2019: For this lecture, we consider a simple class of ODEs: consider x 2 Rand some (unknown) function y : R! ... some real number n = round((xend-xstarteps)/h); % adjust h so that the range is exactly nh % (to ensure that we have exactly x(n1) = xend hTrue =

22 Jan 2019: b) Schematic of some polymorphic states of the flagellar filament, from left to right: L-type straight,normal (left-handed shape), curly (right-handed shape), and R-type straight. ... used in Ref. [25]. A flagellotropic phage can wrap around a given

4 Jun 2019: Ψpvq fpvq| ě 1{2, }v x}8 ď for some x P T. ... To simplify the learning andanalysis further we will assume that a P N, a ă K for some chosen K P N, and we let b “ aK1.

24 Jan 2019: 12 and wO(t) = (1 t)α(1 t). 12 for some α > 1 – in other. ... It followsfrom the case m = 1 that h′(t) = 1/(at2 bt c) for some real numbers a,b and c.Since h : (1, 1) R and h′ > 0, necessarily