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5 Dec 2008: Now calculate the Taylor series for f (z) aboutz = i and determine the new radius of convergence.

1 Jan 2008: In this classification, the electron is still an elementary particleHowever, the proton, neutron, and all the hundreds of new particles are composite. ... SummaryWe have a new and surprising way to understand the properties ofquarks by looking at black

17 Nov 2008: In this case there exists a coordinate transformation (t, a) (t̂(t, a), â(t, a)) suchthat, in the new coordinates the Friedmann equations are. ... Rev.D 2 2762–73. [12] Sahni V, Saini T D, Starobinsky A A and Alam U 2003 Statefinder—a new

25 Jul 2008: pppp〉 : E = 15[6〈pp〉E 〈pp〉〈pp〉〈pp〉: E 2I (〈pp〉2 : E 〈pp〉: E ). ]I New idea Brownian fields: simulate many random walks in. orientation space for each point ... I Oldroyd B f = 1. I FENE-P f = L2/(L2 trace A)I Nonlinear bead

11 Aug 2008: p ’ 3=2p , the instability. reappears. The subsequent time dynamics, leading to a new.

1 Jul 2008: Nonlinear Math. Phys. 10 229–42. [18] Novikov S, Manakov S V, Pitaevskii L P and Zakharov V E 1984 Theory of Solitons: The Inverse ScatteringMethod (New York: Consultants Bureau).

7 Oct 2008: vv′(t). at the endpoints. (Note thatv′ can be obtained fromv using the differential equation.) Thepurpose of this paper being an introduction of a new concept,rather than of a

7 May 2008: To pre-serve the properties of the Poisson bracket in the new basis,. ... and. l̃eqk. given above, we can express the occupation numbers ofthe two gases in the new basis as.

6 May 2008: Guided by these numbers, the vector xk1 and the new trust regionradius k1 are selected for the next iteration. ... Programming, Vol. 29, pp. 297–303. W. Sun and Y. Yuan (2006), Optimization Theory and Methods: Nonlinear Pro-gramming, Springer (New York)

1 Aug 2008: steps with the plain-vanilla Filon-type method (requiring just one new functionevaluation per step!) we producebetter accuracy thanode45 with 240645 steps. ... 2000),Simulation of CommunicationSystems, Modeling, Methodology and Techniques, 2nd edn,

18 Mar 2008: Springer, New York, 2001. [19] G. V. Milovanovic. A class of polynomials orthogonal on the radial rays inthe complex plane. ... Princeton University Press, Princeton, New Jersey,1993. [23] J. A. C. Weideman and L.

3 Jun 2008: i bidxr) = 0 for some V ker(a). Thus a1θ gives a new set of generators. ... constructed. For systems not of finite type the process of adding new variables andcross differentiating the equations will never end.

10 Apr 2008: cam.ac.uk/programmes/HOP/hopw05 ). 19. [6] J.A. Cochran, Analysis of Linear Integral Equations, McGraw-Hill, New York, 1972. ... Math. 103 (2006), 643–665. [18] W. Rudin, Functional Analysis (Second Edition), McGraw-Hill, New York, 1991.

25 Sep 2008: This occurs when = O(Re 211 ). At such times a new asymptotic problem needs to beformulated involving four distinct asymptotic regions in the y-direction(Elliott et al. ... that then comeinto play; the bad news is that it does not appear to provide a long

18 Mar 2008: However, even the conformal class is not uniquely specified. To see this take avector W that is null for the metric specified by V , and form a new metric by the ... Then W is not null in this new metric, so this metric must be in adifferent conformal

3 Jul 2008: Springer, New York(1988). 2. Ball, J.: Convexity conditions and existence theorems in nonlinear elasticity. ... Taylor, M.E.: Partial Differential Equations, vol. III. Springer, New York (1996)27.

1 Apr 2008: PV gradient ) until the barriers hold firm again,with qbarrier increased to match the new threshold. ... Also, bothcomputer power and new numerical techniques nowprovide an opportunity to carry out such experiments atReynolds numbers and effective

1 Jul 2008: the discovery of a new class of highly accurate PV inversionoperators and associated balanced models that are free of allsuch difficulties (MM07a,b). ... The new balanced models were given the generic name“hyperbalance equations” because they can be

30 Mar 2008: This is connected with the fact that any new position and velocity of the boundary are taken up so slowly that they may be considered as redetermining the flow field with

8 Apr 2008: To get a new casimir C̃2 (corresponding to. superspin), define. Bµ := Wµ 1. ... The existence of central charges is the main new ingredient of extended supersymmetries.

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.

31 Jul 2008: Soc, 66:109–114, 1969. [9] L. J. Slater. Confluent hypergeometric functions. Cambridge UniversityPress, New York, 1960. ... 10] N. M. Temme. Special functions. A Wiley-Interscience Publication.John Wiley & Sons Inc., New York, 1996.

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).

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.

17 Jan 2008: Mathematical Tripos: IA Vector Calculus. Contents. 0 Introduction i. 0.1 Schedule. i. 0.2 Lectures. i. 0.3 Printed Notes. ii. 0.4 Examples Sheets. iii. 0.5 Previous Comments, Comments on Comments and Style of Lectures. iii. 0.6 Books. iv. 0.7

13 Jun 2008: improving the design of major new urban regeneration developments; and connected cars and roads. ... In formulating new ideas, gaining the attention span of key stakeholders can be difficult.

30 Oct 2008: m, θ(m1)(c) 6= 0), andperhaps at additional points. 4 Discussion. The main purpose of this paper has been to explore asymptoticand numerical features ofa new model for composite highly ... Comput. Appl. Maths67, 95–101. Olver, F. W. J.