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5 Mar 2008: 3.Suppose the length scale of the channel width is given. by a = rxb for some fixed values of r and b, so that special. ... y / m, where m isthe slope of the lateral walls to the plane z = 0 and is given bym = rxb for some constants r and b.

26 Oct 2008: 1. Introduction. The native structure of biological specimens can be investigated with the electron microscope at high resolution if some means is provided for retaining their hydration in the surrounding high ... This stage has features which over- come

30 Nov 2008: Find the Taylor series of g(I H) about I. 9. Let f : R2 R and (a, b) R2.(a) Suppose that D1f exists and is continuous in some open ball ... around (a, b), and that D2f exists at (a, b).Show that f is differentiable at (a, b).(b) Suppose instead that D1f

19 Mar 2008: only if U = Y V for some V open in (X, dX ).(ii Show that A is closed in (Y, dY ) if and only if A = Y B for some B ... a contraction? Deduce that the differential equation. dy. dx= 2xy , with y = 1 when x = 0 ,. has a unique solution in some interval

16 Jan 2008: Show that for any vector x,Ax may be written as! x for some suitable! ... σij = 2µ(eij 13 δij ekk) pδijfor some scalar µ known as the coefficient of viscosity.

21 Jan 2008: can arisefrom a single seed or if a cluster of some critical size isneeded to trigger the nucleation process. ... 2b. Also, within the same t-NC, some branchesappear more efficient than others in promoting CdSe nucle-ation.

21 Aug 2008: Experimental apparatus and some observations." International Journal of Mechanical Sciences, 37, 943-963 (1995). ... European Journal of Biochemistry, 268, 5011-5026 (2001). 136. C.R.Calladine "Some thoughts on research".

12 Mar 2008: If g is another such function then f(z) = g(z) exp h(z)for some entire function h. ... If g were another such function then g/f would be an entire function with no zeros and thereforeequal to exp h for some entire function h.

14 Jan 2008: Some preliminary answers to some PFA questions, e.g. 4.3 λI 5.3 λI. ... Ideally run reconstruction centrally (use of GRID will be vital)benefit: ensures correct reconstruction versions/steeringbenefit: some physics analysis could start from

11 Sep 2008: This article is organized as follows: Sect. 2 introduces some notation and definitions,Sect. ... a) F is a bounded subset of BV(R), or(b) F is a bounded subset of Cs(R) for some s > 0, or(c) F satisfies (24) for some s >

8 Jan 2008: However, the work we have already done enables us to produce some niceinfinite dimensional Banach spaces. ... For historical reasons Baire’s theorem is associated with some rather un-helpful nomenclature.

2 Feb 2008: A′,B′) = (m11A N m12B N,m21A N m22B N). for some (M,N) G4(K) := GL2(K) GL4(K). ... Q = ξ2for some ξ F and F[x1,x2,x3,x4] a linear form.

27 Feb 2008: C = {M M(A) : ResAB(M) P(B)}.Since any P P(A) is a direct summand of An for some n > 0, the restrictionResAB(P) is a finitely generated projective ... It follows thatwe can find P,Q P(H) such that [P] [Q] = m[1] inside G0(H) for some m > 0depending only

25 Jan 2008: 2004; Hutchinson et al., 2003; Symons et al., 2005a,b).If linear actuators replace some members of the truss, significant global macro-scopic shape changes can be achieved with a relatively ... Shape changes in active structures are achieved by

6 Oct 2008: Though JUD improves efficiency there are still some problems1. if A(r) is full, Σ(r)b is full full decoding cost2. ... Batch-mode adaptation introduces latency into decoding process– for some tasks, e.g.

16 Jul 2008: The very common fold consists of three helices (H1-H3) and a wing with some. ... A is in red, B is in yellow. and C is in blue.

4 Feb 2008: Show that f and g have the same splitting field if andonly if b = cmar for some c K and r N with gcd(r, m) = 1. ... Deduce that every finite abelian group is the Galois group of some Galois extensionK/Q.

17 Jan 2008: Given that the particle’s trajectoryis r = a sin θ for some constant a, deduce that (up to an arbitrary additive constant)V r4. ... ithou. t per. mis. sion. 10 If µ(r) = |f (r)| for some function f , show that B.

29 Sep 2008: TµAB? µAB- T (A B). µAB? There may appear to be some redundancy in the definition, and if our commu-tativity is symmetric in the sense of section 3.6, that ... We record some basic properties. Proposition 13. The following equalities hold in T-Alg.(i)

8 Mar 2008: In some sense a topological group is an object were the the statement‘the neighbourhood of every point looks the same’ is (a) meaningful and (b)true. ... Theorem B. (Bochner’s theorem.) A continuous function f : G C ispositive definite if and only