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17 Jan 2008: 24. 2.1.2 The Arc Length. 25. 2.1.3 The Tangent. 26. 2.1.4 The Osculating Plane. ... Mathematical Tripos: IA Vector Calculus 16 c S.J.Cowley@damtp.cam.ac.uk, Lent 2000. differentiability (1.24):3.

30 Sep 2008: with width 1/σ (See figure (13)) We will now evaluate the resulting wave-function bysubstituting (24) for A in (23),. ... ψ|2U. 0x0(t). Figure 24: Initial state of wavepacket. x. |ψ|2U. 0.

3 Jul 2008: self-dual structure provides a useful way of rewriting this formula as in (2.24), in terms. ... behaviour of critical points in the λ limit, starting with [4]; see [24] and references.

6 May 2008: L. (3.24). By taking logarithms of both sides of expression (3.23), we find the inequality.

29 Jan 2008: B. PerrinLaboratoire Pierre Aigrain, UMR 8551, CNRS, Ecole Normale Supérieure,Département de Physique, 24 rue Lhomond, 75231 Paris Cedex 05, France. ... Combining Eqs. 21, 24, and 25 leads to the nonlin-ear diffusion equation satisfied by the local

3 Jul 2008: For the first time, the asymptotics of type (1.2) were established by Soffer and Weinstein[24, 25] (see also [20]) for nonlinear U(1)-invariant Schrödinger equation with small initial ... c(ν)(t s)1/2(‖η(s)‖2Lβ ρ‖η(s)‖Lβ. ), 0 < t s < ν.

1 Aug 2008: µ4(ω) =25I0(τ). 2. ωΘ. [2]0 (ω). 8. ω2Φ. [2]0 (ω). 24.

25 Sep 2008: For = (ts t) 1 it follows from (3) and (23)that the dimensional blowing velocity has magnitudev̂b = O(U Re12 74 ) : (24)This blowing velocity causes a perturbation to the inviscid ... the continuity equation it follows thatthe perturbation velocity in

5 Dec 2008: This equation determines λ as a function of α. 24. Cop.

10 Apr 2008: Re λm (mπ)2. ω4. 2(mπ)2 5/24(mπ)4. ω6+ O(ω8), (3.1). Im λm 2.