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5 Dec 2008: ω2ν. y cos. (. ωt. ω. 2νy. ). This defines a new length scale.

27 Jan 2008: In this article we presenta new framework for BEA on manifolds. ... We will deviate quite substantially from the usual framework[9] and instead introduce a new completely abstract approach in the spirit of Ebin and Marsden[5].

23 Sep 2008: The idea of introducing vertical advection into a one- dimensional photochemical model, for application to a particular geographical region like the polar cap, is not new; the usefulness of such a

3 Jul 2008: REVIEW. Analysis of the adiabatic limit for solitons inclassical field theory. BY DAVID M. A. STUART. University of Cambridge, Centre for Mathematical Sciences, Wilberforce Road,Cambridge CB3 OWA, UK. We discuss the approximation of classical field

30 Sep 2008: Figure 1: Incident light expels electron from metal. 1 Introduction. QM introduces a single new constant of fundamental nature: Planck’s constant. = ... As in the previous section we can construct new solutions of the Schrödinger by taking a.

11 Jul 2008: ỹ(t) = φ((t))yN , t [tN , tN1],. where is our new unknown,which evolves in the Lie algebrag. ... Func. Anal.72, 320–345. Varadarajan, V. S. (1984),Lie Groups, Lie Algebras, and their Representations, GTM 102,Springer-Verlag, New York.

3 Jul 2008: Adiabatic limit and the slow motion of vortices in a. Chern-Simons-Schroedinger system. Sophia Demoulini and David StuartCentre for Mathematical Sciences, Wilberforce Road, Cambridge, CB3 OWB, England. email:sd290@cam.ac.uk, dmas2@cam.ac.uk.

29 Jan 2008: technique of taking up freedomin the new model by minimizing ‖Bk1Bk‖F , mentioned in the paragraph beforelast. ... Some constraints on the parameters of the new model. Qk1(xk1 d) = F (xk1) dTg.

3 Oct 2008: Natural Sciences Tripos, Part IB. Michaelmas Term 2008. Mathematical Methods I. Dr Gordon Ogilvie. Schedule. Vector calculus. Suffix notation. Contractions using δij and ǫijk. Re-minder of vector products, grad, div, curl, 2 and their

3 Jul 2008: This new ansatz for the solution is. ψ(x,t) = ejθ(Φω(x) ej(θθ̃)η), where θ̃(t) = ω1t θ0, θ0 = θ0 and ω1 = ω(t1) (11.3).