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22 Nov 2007: In particular, in severalexamples we shall wnat to consider the case where b has a discontinuity in t at some time.The (uniform in t) Lipschitz condition 4 is implied by ... We can apply the proposition to the control problem provided that we assume b

23 Mar 2007: Fix some subset B of [n]. How large a family A of subsets of [n] can we find such that the intersection of any two sets in A contains a cyclic ... Chung, Graham, Frankl and Shearer have proved that, in the case where B is a block of length t, we can do

3 Jun 2007: u(z) = b log |z| Re a(z)for some b R and some analytic function a : A C. ... a) Show that Z(T) is a subgroup of Möb.(b) Find which groups (up to isomorphism) can arise as Z(T) for some Möbius transformation T.

21 Jun 2007: B 0 = 0, and so ABA 0 B 0 = FAB A 0 B 0 for some FAB. ... ÁA 0 B 0 = Á A 0 B 0 for some function Á.

21 Nov 2007: a) Suppose that D1f exists and is continuous in some open ball around (a, b), and that D2f exists at (a, b). ... Show that f is differentiable at (a, b). (b) Suppose instead that D1f exists and is bounded on some open ball around (a, b), and that for

8 May 2007: Radius vs Field. 180 GeV jets. LDCsize B-field studies. on the way…. ... Have “answers” to some of these questions (marked in green). The A-List (in some order of priority)1) B-field : why 4 T?

22 Nov 2007: 1.3 Continuous-time, deterministic. Take now as state-space S = Rd, for some d > 1. ... u(x) = b(x, u(x)), and hence, subjectto some regularity conditions, we can define a diffusion process.

29 May 2007: not a huge differencebetween small B=3, medium B=4 and large B=5. ... Have “answers” to some of these questions (marked in green). The A-List (in some order of priority)1) B-field : why 4 T?

5 Apr 2007: First note the following. Lemma 5.1. T is open iff T (B(1)) B(ǫ) for some ǫ > 0.Proof. ... Since by Theorem 5.3, we have. T (B(1)) B(δ),for some δ > 0, it follows that.

20 Oct 2007: f(z) =a(z z0) bc(z z0) d. ,. for some a,b,c,d,z0 C. ... 1 < |z| < 2}, {0 < |z| < 1}, {0 < |z| < }. 8. (i) Let R and S be some Riemann surfaces, f : R S a continuous map, and p a pointin R.