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18 Nov 2002: "#$% &'(%!) ,# #-'(. / 102 &-! &3-! 45 6507(8% ":9 1 &;< =. >@?BA?DCFEG?IHJLKNMPOQCFRDSTMUV?DOWAYX1MZ[A R]U_UCFEaMb/c?dAYefMX?dAYEFgPhi?]Z_b/jkefMR]OlMPAYEFg?]C:m&eonphQEagh. q"Z_EsroMOQhlEtAunR]v? ]Xw_OYEabfxyM]z[{2EFCtw|MPOl}RDOYgMkRo?]bzLv?

25 Jun 2004: for occupationnumbers n k defined by a ka k8. &' n kd kk8. ... Tothis end we first filter out the high-frequency harmonics byperforming the transformation a ka kmax$12k.

8 Oct 2004: He found that, provided ka 1, where a is the core radius,σ2 =. ( κ2πh2. )2 [1 khK1(kh) 12(kh). 2ω(akδ)]. [1 khK1(kh) (kh)2K0(kh) ... Classical Crow instability. Crow used the cut-off method to determine the growth rate, σ , of the instability in

14 Feb 2005: Part II Statistical Mechanics, Lent 2005. Prof. R.R. Horgan. February 14, 2005. 1 Statistical Mechanics. 1.1 Introduction. The classical and quantum dynamics of simple systems with few degrees of freedomis well understood in that we know the

28 Oct 2006: This. isa. super. vis. or’. sco. py. ofth. enote. s.It. isnot. tobe. dis. trib. ute. dto. studen. ts. Natural Sciences Tripos: IB Mathematical Methods I. Contents. 0 Introduction i. 0.1 Schedule. i. 0.2 Books. ii. 0.3 Lectures. ii. 0.4 Printed

28 Oct 2006: This. isa. super. vis. or’. sco. py. ofth. enote. s.It. isnot. tobe. dis. trib. ute. dto. studen. ts. Natural Sciences Tripos: IB Mathematical Methods I. Contents. 0 Introduction i. 0.1 Schedule. i. 0.2 Books. ii. 0.3 Lectures. ii. 0.4 Printed

25 Jan 2007: N M Mt 2ik2[σ3, M ] kA(x, t)M B(x, t)M. (4.3.13).

17 Apr 2007: It therefore followsfrom (22) that Xa, Xa, Ya Y a are gradients and that Ka = Ya Y a is a Killing vector.

27 Jul 2007: K bb Ka = 12ηKa. Thus K is automatically geodesic, and if it is pure then its trajectories are parameterizedby an affine parameter.

29 Jul 2007: Ka = αAβ̂A′ α̂AβA′ is a Killing vector, and deduce the form of themetric.