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9 Feb 2015: 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. ... Improved No difference WorsePlacebo 18 17 15. Half dose 20 10 20Full dose 25 13 12.

9 Nov 2015: 1. Find the eigenvalues and give bases for the eigenspaces of the following complex matrices: 1 1 00 3 20 1 0.

31 Aug 2015: Metric and Topological Spaces Easter 2015. Example Sheet 2. 1. Which of the following subsets of R2 are a) connected b) path connected? (a) B1((1, 0)) B1((1, 0))(b) B1((1, 0)) B1((1, 0))(c) {(x, y) |y = 0 or x/y Q}(d) {(x, y) |y = 0 or x/y Q}{(0, 0)}

16 Feb 2015: Let V P2 be defined by x21x2 = x. 20(x0 x2). ... 20,x0x1,x0x2,x. 21).

23 Feb 2015: 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

28 Oct 2015: 5. Without using a calculator, evaluate 20!2120 (mod 23) and 1710000 (mod 30).

13 Oct 2015: 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 Jan 2015: Hence find the complete character table of S5. Repeat, replacing S4 by the subgroup 〈(12345), (2354)〉 of order 20 in S5.

10 Nov 2015: 1. Find the eigenvalues and give bases for the eigenspaces of the following complex matrices: 1 1 00 3 20 1 0.

21 Oct 2015: So we can assumeotherwise. Let Ḡ = G/F2(G). Since Ḡ has elements of index 12, 15 and 20 we seethat m is divisible by 60.