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21 Oct 2022: This page was last updated on October 20, 2022. Based on a design by Henry Wilton.

23 Oct 2022: Cambridge, UK. CB4 1JZ. This page was last updated on October 20, 2022.

17 Feb 2022: Show that. In = 1/20. f(t/n) dt and hence that |In| 1/9n2. ... 7. Let In = π/20. cosn x. Prove that nIn = (n1)In2, and hence 2n2n1 I2n1/I2n 1.

20 Jan 2022: A barber takes an exponentially distributed amount of time, with mean 20 minutes, to completea haircut.

13 Apr 2022: π(M(D2n))Q. as completely as possible. The first installment is:. Theorem. [Kupers–R-W ’20 ’21] Let 2n 6. ... V 7 (ΘF(r) O(r) (Rr V)). for some O(r)-spectrum ΘF(r).20. Orthogonal calculus for V 7 BHomeo(V).

13 Jan 2022: Improved No difference WorsePlacebo 18 17 15. Half dose 20 10 20Full dose 25 13 12.

21 Oct 2022: This page was last updated on October 20, 2022. Based on a design by Henry Wilton.

4 Nov 2022: Use these to reconstruct thecharacter table of S5. Then repeat, replacing S4 by the subgroup ⟨(12345), (2354)⟩ of S5 of order 20.

13 Jan 2022: Estimate v from the following independent observations madeon 9 shells. α (deg) 5 10 15 20 25 30 35 40 45sin(2α) 0.1736 0.3420 0.5 0.6428

13 Oct 2022: 2. There are four primes between 0 and 10 and between 10 and 20.

22 Jan 2022: You pick a member uniformly at random and observetheir voting. They vote the same for 20 consecutive votes. ... Discuss whether you might obtain usefulfurther information to assess the claim by watching them for the next 20 votes.

25 Nov 2022: Date. Topic. Speaker. 06 October. Introduction. Sam. 13 October. 20 October.

25 Jan 2022: Eur.Math. Soc. (JEMS) 17 (2015), no. 8, 1855–1925. [20] Martel, Y.; Merle, F.; Raphaël, P.; Blow up for the critical gKdV equation I: dynamics near the solitary wave,Acta ... Funct. Anal. 20 (2010), no. 4, 10281071. [33] Raphaël, P.; Szeftel, J.,

20 Jan 2022: The service rates in D1 and D2 are µ1 = 15 and µ2 = 20 per day, respectively.

26 Apr 2022: A B2525. 30. 55. 5. 20. 7. 88. 10. 10. 1010.

24 Oct 2022: Find a regular expression R such that L(R) = L(G). (20) Minimise the following automaton using the construction given in the lectures.

10 Jan 2022: Can you find xn for all n? 11 Implement Shamir’s (k,n)-threshold scheme (‘secret sharing’) of Chapter 20, takingk = 2, n = 3, xj = j 1, p = 7, a0 = S =

24 Oct 2022: 1. Find the eigenvalues and give bases for the eigenspaces of the following complex matrices: 1 1 00 3 20 1 0.

12 Jul 2022: π(BDiff(D2n))Q. as completely as possible. Theorem. [Kupers–R-W ’20 ’21]. Let 2n 6. ... πi(BDiff(D2n1))Q = Ki1(Z)Q. {Q i 2n 2 mod 4, i 2n 20 else.

21 Oct 2022: This page was last updated on October 20, 2022. Based on a design by Henry Wilton.

11 Feb 2022: Regularity of weak foliations for thermostats, Nonlinearity 20 (2007) 87--104.

19 Dec 2022: as introduced by Fukaya–Ono[20] (see [36] for another alternative).

29 Nov 2022: Use these to reconstruct thecharacter table of S5. Then repeat, replacing S4 by the subgroup ⟨(12345), (2354)⟩ of S5 of order 20.

17 Feb 2022: Show that. In = 1/20. f(t/n) dt and hence that |In| 1/9n2. ... 7. Let In = π/20. cosn x. Prove that nIn = (n1)In2, and hence 2n2n1 I2n1/I2n 1.

12 Dec 2022: 7Some other proofs are given in Exercises 20.6, 20.7 and 20.8. ... The proof is givenin Exercise 20.10 but is not part of the course.

17 Sep 2022: 44. 46. 48. 50. 52. 6 8 10 12 14 16 18 20 22 24 26 28 30 32. ... Contemplating this perspective led Kupers and I to the following:. Theorem (Kupers–R-W ’20).

6 Jul 2022: Example. ρ: Z/2 GL2(R); 1 7(1 20 1. )defines a representation (check). ... 20 SIMON WADSLEY. But if we take V to be the regular representation CG then.

30 Mar 2022: G. 20. 3.5 Regular nilpotent elements in V. 20. 3.6 Kostant sections. ... 20. 3.7 A family of curves. 21. 3.8 Universal centralisers. 22.

23 Oct 2022: Research Students:. Fan Ye 2019–22 PhD spring 2022Adam Baranowski 2017–Adam Goucher 2016–20 PhD autumn 2020Tom Brown 2014–18 PhD spring 2018Claudius Zibrowius 2013–17 PhD spring 2017Tom Gillespie

29 Nov 2022: Example. ρ: Z/2 GL2(R); 1 7(1 20 1. )defines a representation (check). ... Thus χ(g) =λi =. λ1i but, of. course, the λ1i are the eigenvalues of g1.20.

18 Nov 2022: Vanishing of the adjoint Bloch–Kato Selmer group 453.18. Seed points 483.20. ... 20 J. A. THORNE. likeness to the L-functions appearing in Serre’s criterion for the Sato–Tateconjecture to hold.

12 Dec 2022: If |an1| n/2,then. P(t) = an1tn1 Q(t). 20. where Q(t) =n. ... Proof of Example 11.20. Consider the map Tn given by. Tn(z) = (2n z) exp(2niπ).

7 Oct 2022: Some exponents of the Hardy-Littlewood-Sobolev can also be recovered through Sobolev embedding Theorems, see exercice 4.20. ... 1. 20. 2.2.2 Adjoint operator. Let us recall the notion of adjoint in a Hilbert space which is a direct application of