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7 Dec 2023:

24 Nov 2023: Mathematical Tripos II Numerical Analysis (Michaelmas 2023). Lecturer: Hamza Fawzi. Tue-Thu-Sat 9am - MR4. Lecture notes. The notes are heavily inspired by previous editions of the course, taught by Prof. Anders Hansen and Prof. Arieh Iserles ().

4 Jul 2024: Alex Chamolly ('16-'20) - now postdoc, ENS Paris and Institut Pasteur [Favourite movie: The Silence of the Lambs]. ... Weida Liao ('20) - from Trinity College, Cambridge [Favourite movie: Singin' in the Rain].

31 Mar 2024: Typical large-scale upwelling velocities in the tropical lower stratosphere (altitudes 15 to 20 km) are seasonally variable roughly from 0.2mm/s in northern summer to 0.4mm/s in

26 Jun 2024: commutation relations (3.17) tell us that. [x̂, p̂] = i (3.20). ... Because. it follows purely from (3.20), any operators that obey the same commutation relation.

16 Jan 2024: Water flow through sediments and at the ice-sediment interface beneath Sermeq Kujalleq (Store Glacier), Greenland, Journal of Glaciology, 2021 (1-20) [pdf].

10 Jun 2024: Fluids 20, S22-S30. Hinch, E.J. 1977 An averaged-equation approach to particle interactions in a fluid suspension J. ... Fluids 20, 023302 (9 pages). Chiu-Webster, S, Hinch, E.J. and Lister, J.R.

11 Mar 2024: Kirill P. Kalinin and Natalia G. Berloff "Complexity continuum within Ising formulation of NP problems," Communications Physics, 5:20 (2022) https://doi.org/10.1038/s42005-021-00792-0. ... K.P.Kalinin and N.G.Berloff "Networks of non-equilibrium

8 Jun 2024: 01/01/17-. 31/12/20. , also. 01/01/07-. 31/12/14). ;. the Nominating Committee for External Members of the Council. ... 01/10/22-. 31/12/23. and. 01/01/16-. 31/12/17. , co-opted. 01/01/18-. 31/12/20. and. 01/01/08-.

11 Nov 2023: Dr H. Fawzi. Mathematical Tripos Part II: Michaelmas Term 2023. Numerical Analysis – Lecture 20.

3 Jul 2024: 20. , 2060 (2024). [DOI]. Partial and complete wetting of droplets of active Brownian particles, arXiv:2310.07531. ... 20] R. L. Jack and P. Sollich, J. Stat. Mech. (2009), P11011.

21 Mar 2024: 18. 20. 19. 20. 20. 20. 21. New Papers on“Koopman Operators”. ... 17. 20. 18. 20. 19. 20. 20. 20. 21. New Papers on“Koopman Operators”.

23 Oct 2023: 1. 1 z= a(t) = 1 H0(t t0). 1. 2q0H. 20 (t t0).

28 Nov 2023: d loge RLdt. = αd loge m. dt,. whereα = 20.

3 Jul 2024: attractive or repulsive). – 63 –. bb. Figure 20:. Firstly, by energy conservation, the speed of the particle at the end of its trajectory. ... negligible. But, from (4.20), we see that, regardless of the initial velocity v, if you fire.

1 Dec 2023: Journal ofGlaciology 1–20. https://doi.org/10.1017/jog.2021.121. Received: 25 June 2021Revised: 20 October 2021Accepted: 21 October 2021. ... 4a). In BH19e, located 4.1 m from BH19g, headinstantaneously decreased by 0.93 m over a 20 5 s period

10 Jun 2024: 71, 481–495. 20. Hinch, E.J. 1975 Applications of the Langevin equation to fluid suspensionsJ. ... Fluids 20, 023302(9 pages). 119. Chiu-Webster, S., Hinch, E.J. & Lister, J.R.

18 Jun 2024: PDF. 163. Moffatt, H. K. 2007c Professor D. Howell Peregrine - 30 December 1938 - 20 March 2007.Obituary. ... 442, pp. 29–35. Springer. Symposium in Honour ofProfessor Jean-Pierre Guiraud, Université Pierre et Marie Curie, Paris, France, 20–22

11 Mar 2024: Soward, ed.) Gordon and Breach, 1982. 20. H.K. Moffatt and M.R.E. ... E. Dormy and A.M Soward, pp. 20–41 , CRC Press, Boca Raton 2007.

2 Jul 2024: 1.2.2 An Example: Spinless Particles 18. 1.2.3 Another Example: Spin 20. ... The. dual state h|A is defined by. (h|A)| i = h|(A| i) (1.20).

22 Sep 2023: 20. ‘citizen science’, and the burgeoning social media. With the weaponization of the social media now upon us — and the threats to democracy, privacy, and safety from, for instance, automated face

3 Jul 2024: 2.2.1 Central Forces 20. 2.2.2 Angular Momentum 21. 2.3 Gravity 22.

2 Jul 2024: We define the Rabi frequency as. = eE0 h 1|x| 2i (4.20). ... However, the Rabi frequency is proportional to the. amplitude of the electric field (4.20).

10 Jun 2024: 15. 20. 16. 20. 17. 20. 18. 20. 19. 20. 20. ... 17. 20. 18. 20. 19. 20. 20. 20. 21. New Papers on“Koopman Operators”.

11 Oct 2023: 01 = 00 20 21 = 00 20. 11 = 10 30 31 = 10 30. ... 00 20 10 30. 0 2 2i 0 2 2i. 0 2.

1 Feb 2024: Collective behavior via communication [20] is foundin many contexts: bacterial quorum sensing [21], ant foraging[22–24], and bird flocking [25]. ... II.Evolution, Evolution 20, 466 (1966). [5] J. E. Heath, Thermal synchronization of emergence in

26 Jun 2024: wavefunction as. (r) = rR(r) (4.20). Then, written in terms of the new function (r), the Schrödinger equation takes the. ... additional = 0 node. In Figure 20 we’ve fixed the energy level to n = 4 and plotted.

8 Jan 2024: Geophys. Res. Lett. 48(15).20. Howland, C.J., J.R. Taylor and C.P. Caulfield, 2021, Shear-induced breaking of internal.

12 Jun 2024: solve this in conjunction with (4.20) but here it will turn out, somewhat fortuitously,. ... that if we just find the obvious solution to (4.20) then it solves rB = 0 automatically.

1 Dec 2023: on. 08 Ja. n 20. 20 a. t 14:. 52:0. 5, s. ... n 20. 20 a. t 14:. 52:0. 5, s. ubje. ct to.

11 May 2024: 11:00-11:20 : Diana HalikiasElliptic PDE Learning Is Provably Data-Efficient. • 15:45-16:05 : Samuel Otto Operator learning without the adjoint. •

5 Jan 2024: Class.Quant.Grav. 20 (2003) 665, hep-th/0207244. With Sergei Gukov and James Sparks. ... 20] D-Brane Probes of Special Holonomy Manifolds. JHEP 0204 (2002) 050, hep-th/0202126.

26 Jun 2024: re-purpose it to describe atomic reactions like (2.20) (and, later, nuclear reactions). ... will understand recombination and the atomic reaction (2.20). We consider non-relativistic particles, with energy.

26 Jun 2024: 2.1 The Free Particle 20. 2.1.1 A Particle on a Circle 22. ... 20 –. If we do interpret (2.6) as the energy of the particle, we should probably compare it.

16 Sep 2023: We plug this into the equation of motion (4.20) to getZ 1. ... Im(!) =! (!20! 2)2 2!2. (4.24). This is an odd function.

2 Jan 2024: Alongside body size, the number and the morphology ofbacterial flagella also profoundly influence the swimming speed ofbacteria (20). ... 10. 20. 30. 40. 50. V (µ. m/s. ). L (µm)W L.

17 Aug 2023: Stability bound. 20. Keldysh: 𝑇(𝑧)1 = 𝑉(𝑧 𝐽)1𝑊 𝑅(𝑧), let 𝑀 = sup𝑧Ω 𝑅(𝑧). ... Slide 19: InfBeyn algorithm. Slide 20: Stability and convergence result. Slide 21: Proof sketch (probably no time).

1 Dec 2023: on. 08 Ja. n 20. 20 a. t 15:. 00:5. 1, s. ... n 20. 20 a. t 15:. 00:5. 1, s. ubje. ct to.

1 Dec 2023: The bentonite,shown in (b)–(d), is on a 20 slope and the ageing times Tage are indicated. ... 1.0. 0.5. 0. 2.0. 1.5. 1.0. 0.5. 0 10 20 30.

2 Jan 2024: ublis. hing. org. / on. 20 J. uly. 2023. where p is the dynamic pressure. ... 3. 4. 5. h/R. upright floating. tilted swimming. 6 00.20.30.5. h.

1 Dec 2023: 40. 30. 20. 10. 010–3 10–2 10–1 100. 40. 30. 20. ... R. Lister. Trms. wrms. urms. Nu. 40. 30. 20. 0.25. 0.20.

16 Sep 2023: 2.2 The Boltzmann Equation 20. 2.2.1 Motivating the Boltzmann Equation 20.

22 Apr 2024: Nonlin. Processes Geophys., 20, 239-248. Haynes, P.H., 2013: Transport in geophysical fluids -- overview. ... Phys. Fluids, 19, 067101. (20 pages). Tzella, A., and Haynes, P.H., 2007: Small-scale spatial structure in plankton distributions.

11 Mar 2024: These simulationswere extended to De = 20 in figure 4 of Debbaut et al. ... A11(1,y)/A. 11(. ,y). y. De = 0.10.20.30.40.5. (a) Full width. 0.

2 Jul 2024: 1.2.2 An Example: Spinless Particles 18. 1.2.3 Another Example: Spin 20. ... The. dual state ⟨ϕ|A is defined by. (⟨ϕ|A)|ψ⟩ = ⟨ϕ|(A|ψ⟩) (1.20).

26 Jun 2024: potential,. NX. a=1. |a|2 = v2 (7.20). This restricts the values of the complex fields to lie on a S2N1 sphere of radius v2. ... it to impose the constraint (7.20) as a delta function. This will result in some strange.

3 Oct 2023: x2 4)dx (b) 20. (xa)2dx. (c) π0eiθdθ (d). π0. cos(x)dx. (e)π/4π/4. ... 1 x)2 if |x| < 1 ). 2. An opaque bag contains 10 green counters and 20 red.

12 Apr 2024: 1.2.4 A First Look at Universality 20. 1.3 Landau-Ginzburg Theory 22. ... χ 1|T Tc|. (1.20). We’ll see the relevance of this shortly.

10 Jun 2024: ζ = De(1 η) = Deη̃ for η̃ 1, (3.20)so that De(1 η2) = ζ (2 η̃) 2ζ. ... Specifically, substituting(3.1) into (2.20) yields at O(β̃) the pressure drop P1,.

27 Dec 2023: 𝜁 = 𝐷𝑒(1 𝜂) = 𝐷𝑒𝜂 for 𝜂 1, (3.20)382. so that 𝐷𝑒(1 𝜂2) = 𝜁(2 𝜂) 2𝜁. ... Specifically, substituting (3.1) into (2.20)412yields at 𝑂(𝛽) the pressure drop Δ𝑃1,413.