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21 May 2005: 4n 3} then G contains a cycle of length 4. 24) Let G be a graph of order n and let G1,.

22 Nov 2005: 24. Let f : R2 R be a continuous function satisfying a Lipschitz condition|f(x,y1) f(x,y2)| K|y1 y2|.

21 May 2005: 24. Let f : R2 R be a continuous function satisfying a Lipschitz condition|f(x,y1) f(x,y2)| K|y1 y2|.

4 Apr 2005: Such an L can always be obtainedby adjoining sufficiently many roots of unity to K [15, Corollary to Theorem 24]and is called a splitting field for. ... Using [7, Theorem 7.24], we see that the graded ringgr kN of kN with respect to the Jadic filtration

17 Jun 2005: J. Baues, S. Halperin and J.-M. Lemaire. DMV Seminar, 24, Birkhuser Verlag, Basel,1995.

30 Jun 2005: Green [25].The method is still paying dividends, cf. [3, 24]. Let be an arbitrary smooth 2-form. ... Math. 246, Amer. Math. Soc., Providence, RI, 1999. [24] N. Gouda, A theorem of E.

27 Oct 2005: 24) (i) Show that H(X|Y ) 0 with equality if and only if X is a function of Y.

21 May 2005: 24) Show that the repetition code of length n is perfect if and only if n is odd.

10 Nov 2005: 24) Show that an Eulerian plane map is 2-colourable. 25) Let S be the projective plane.

14 Mar 2005: Quasirandomness, Counting and Regularity for 3-Uniform Hypergraphs. W. T. Gowers. Abstract. The main results of this paper are regularity and counting lemmas for 3-. uniform hypergraphs. A combination of these two results gives a new proof of a