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17 Oct 2008: m=1 mam cos mx.(b) Show that f (x) =. m=1 am sin mx defines a continuous function on [π, π], but that the series. ... m=1 mam cos mx need not converge. 12. Show that, for any x X = R {1, 2, 3,. },

19 Mar 2008: Is (C[a, b], d) complete? 6. Show that x = cos x has a unique solution. ... ii) Let A and B be closed subsets of X with A B = X.

25 Feb 2008: 16) Let 4 be a hyperbolic triangle, with angles α, β, γ, and sides of length a, b, c (theside of length a being opposite the vertex with angle α, and ... cosh c = cosh a cosh b sinh a sinh b cos γ.

13 Mar 2008: 4 A circular helix is given by. x = (a cos t, a sin t, ct). ... Its mass density is ρ0 cos θ. By evaluating a volume integral find the mass ofthe cone.

26 Feb 2008: Then. |R r|2 = (R r). (R r) = R2 r2 2Rr cos θ. ... u =GM. h2+ A cos(θ θ0). where A and θ0 are constants.

13 Mar 2008: F = (3x2yz2, 2x3yz, x3z2), G = (3x2y2z, 2x3yz, x3y2),. H =(. 3x2 tan z y2exy2. sin y, (cos y 2xy sin y)exy2. , ... u = ((x cos y cos y y sin y)ex, (x sin y sin y y cos y)ex).

18 Oct 2008: A) COS-7 cells were transiently trans-fected with PICK1 containing an artificial N-terminal myristoylation. ... These values were significantlydifferent (p < 0.0001, unpaired t-test). B) COS-7 cells expressing.

4 Dec 2008: 0.8. 0.9. 1. 0 0.2 0.4 0.6 0.8 1. cos! cos! ... b. in. SUSY. UED. PS. Data. 200 fb-1. S5. Figure 5: The points show the cos θll distribution for the S5 signal sample ("̃+"̃.

8 Jan 2008: a‖ = max1jn. |aj|. defines a norm on Fn.(iii) Show that, if a, b Fn, then. ... f (a) = 1 when a A. f (b) = 0 when b B.

29 Jan 2008: κ = k k0 c c0 k =1. 2k.  1 cos 2θ1 cos 2θ sin 2θ. ... stable when M̌ < 1 ν;. (iii) ǩE = 1, cos 2θE = 2(M̌ ν 1. )