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27 Aug 2008: Term Assignment for Intuitionistic Linear Logic(Preliminary Report)Nick Benton Gavin Bierman Valeria de PaivaComputer LaboratoryUniversity of Cambridgefpnb,gmb,vcvpg@cl.cam.ac.ukMartin HylandDepartment of Pure Mathematics and Mathematical

4 Feb 2008: We can define the. Date: 20 Jan 2008. 1. 2 CAUCHER BIRKAR.

1 Nov 2008: 20. Give sufficient conditions for strategies p and q to be optimal for a two-person zero-sumgame with payoff matrix A and value v. ... 29. Sources 1, 2, 3 stock candy floss in amounts of 20, 42, 19 tons respectively.

15 May 2008: z0 12 (ωh(ω)). 2. So ωh(ω) = 2(z zo)1/2 and hence ω is a power series in (z z1/20 , say ω = b1(z zo) b2(z

4 Feb 2008: 20. Write cos(2π/17) explicitly in terms of radicals. 21. Show that for any n > 1 the polynomial xn x 3 is irreducible over Q.

19 Mar 2008: 4 ANALYSIS II EXAMPLES 1. 20. A space-filling curve (Exercise 14, Chapter 7 of Rudin’s book).

12 Feb 2008: Hence findthe character table of S5. Repeat, replacing S4 by the subgroup 〈(12345),(2354)〉 of order 20 in S5.

7 Aug 2008: The universal property of the tensor product can be naturally expressed in termsof countable Lawvere theories: given countable Lawvere theories L and L′, thetensor, which always exists [18–20] is the

1 Feb 2008: Combining this with Theorem 2.5.6 we get:. 20. Corollary 2.6.2 (“Identity Theorem”).

1 Feb 2008: 20 Show that the following functions do not have antiderivatives on the domains indicated:.

10 Mar 2008: 20 Show that the power series. n=1 zn! defines an analytic function f on D(0, 1).

17 Nov 2008: Hence find the complete character table of S5. Repeat, replacing S4 by the subgroup 〈(12345), (2354)〉 of order 20 in S5.

19 Mar 2008: Show that E is finite dimensional. 20. Let E be a normed space.

7 Aug 2008: References for mathematical theory that supportsthe tensor product are [19,20,21], for which this is a leading example.

29 Sep 2008: Pseudo-commutative monads and pseudo-closed. 2-categories. Martin Hyland1 and John Power2. 1 DPMMS, Centre for Mathematical Sciences, University of Cambridge, WilberforceRoad, Cambridge CB3 0WB, England. email: M.Hyland@dpmms.cam.ac.uk Tel: 44 1223

31 Oct 2008: . 1 1 00 3 20 1 0. .  ,. . . 1 1 10 3 20 1 0. .  ,. . . 1 1 11 3 11 1 1. .

19 Mar 2008: 20. Suppose that (X, d) is a complete metric space. Let U X be a proper open subset withcomplement A = X U.

2 Feb 2008: The followingtheorem is a variant of a standard result (see for example [17], [20]). ... Com-put. Math. 5 (2002), 717 (electronic). 20. S. Stamminger, Explicit 8-descent on elliptic curves, PhD thesis, International Uni-versity Bremen, 2005.

6 Mar 2008: . . then. hn =. . . 1 na n(n 1)ac/20 1 nc0 0 1.

22 Aug 2008: Types of the languageare just Chur h's simple types [20. In the following we shall also refer to them asp f-types. ... 20 HYLAND AND ONGnatural way; that is, the global se tions fun tor will not be faithful.