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1 May 2017: September 14th. Something has happened!. October 21st. February 7th. The design is complete.. September 10th. September 18th. September 24th. October 16th. October 22nd. October 30th. November 13th. November 20th. November 26th. December 4th.

20 Sep 2017: Visualising elements of order 7 in the Tate-Shafarevich group of an elliptic curve (20 pages) Plain text versions of the tables, and a Magma file checking some of the calculations

10 Mar 2017: 11. For each n N let un = π/20. sin 2nx cot x dx and vn = π/20.

17 Mar 2017: Page 19. Page 20. Page 21. Page 22.

10 Oct 2017: Talk 5. (The group-completion theorem, BM, November 20) You should presenta proof of the group-completion theorem, in particular the low-tech proof given inAppendix D of [Hat11], which uses

26 Jul 2017: On some algebras associated to genus one curves (20 pages) A Magma file checking the calculations in this paper is available here.

20 Jan 2017: 20 and σ. 21 (> σ. 20). Show. that this test is a size α uniformly most powerful test for testing H′0 : σ2 σ20 against.

22 Feb 2017: Let V P2 be defined by x21x2 = x. 20(x0 x2).

6 Oct 2017: 2. Between 0 and 10 there are four primes. Another example of two consecutive multiples often, between which there are four primes, is 10 and 20.

19 May 2017: 12. Sources 1, 2, 3 stock candy floss in amounts of 20, 42, 19 tons respectively.

20 Oct 2017: 5. Without using a calculator, evaluate 20!2120 (mod 23) and 1710000 (mod 30).

10 Jan 2017: Hence find the complete character table of S5. Repeat, replacing S4 by the subgroup 〈(12345), (2354)〉 of order 20 in S5.

23 Feb 2017: 20 = 3 and the time-1 prices have moments E(S11 ) =. 3,E(S21 ) = 4, Var(S11 ) = 2, Var(S21 ) = 3, Cov(S11,S21 ) = 2.

20 Jan 2017: α (deg) 5 10 15 20 25 30 35 40 45sin 2α 0.1736 0.3420 0.5 0.6428 0.7660 0.8660 0.9397 0.9848 1range (m) 4860

13 Mar 2017: ANALYSIS OF FUNCTIONS (PART II) EXAMPLE SHEET 2 3. %Exercise 20. ... Exercise 19. %Exercise 20. %Exercise 21. %Exercise 22.

9 Nov 2017: Find the eigenvalues and give bases for the eigenspaces of the following complex matrices: 1 1 00 3 20 1 0.

5 Dec 2017: PART II AUTOMATA AND FORMAL LANGUAGES. MICHAELMAS 2017-18. EXAMPLE SHEET 4. denotes a harder problem; denotes an even harder problem. (1) Let G be the CFG given by. S ABS | AB, A aA | a, B bAFor each of the words aabaab,aaaaba,aabbaa,abaaba,

31 Jan 2017: Thisexplains why the the first 3 quadrics in (20) do not depend on t. ... y6, now depending on t) or by using Remark 5.1. 20 NILS BRUIN AND TOM FISHER.

8 Nov 2017: for an element in the image of H1(K,E[p]) we have. (20)σ(b). ... 20 MONIQUE VAN BEEK AND TOM FISHER. 3.3. An algorithm over the rationals.

17 Apr 2017: 2.3.20) Proposition. R(V ) is a subobject of V , and V 7 R(V ) is an exact endofunc-tor of Repk G. ... F̄ 0j U jJ. F̄ 0j U = F̄0U. 20. and so since x′S = x′,.

26 Jul 2017: 192 (2012), no. 2, 921–949. 20 TOM FISHER. [6] J.E. Cremona, T.A.

17 Mar 2017: 2.1 Class structure. 20. 2.2 Hitting times. 21. 2.3 Recurrence and transience. ... Remark 2.20. Note that in the above theorem we required X to be recurrent in order to provethat the equivalence holds.

11 Sep 2017: It plays an important role in the classical Riemann-Hilbert correspondence [16], [20]: regular holonomic D-modules are derived equiv-alent not only to constructible sheaves, but also to holonomic ... wm in M[f]dp(G) for N. 20 KONSTANTIN ARDAKOV AND SIMON

15 Mar 2017: 20 SIMON WADSLEY. (2) V = FX, x X then f 7 f(x) V.

7 Mar 2017: 20 TOM FISHER AND LAZAR RADIČEVIĆ. where (H) 0 is an integer we call the level.

13 Sep 2017: RELATIVE PSEUDOMONADS 20. of g. f along i. X. , as required.