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29 Apr 2024: Research. I'm Principal Investigator on our STFC Consolidated HEP theory grant: £2.3m ST/T000694/1 (1/10/20-30/9/24) and £2.2m ST/X000664/1 ... 20 Oct 2022: RD/RD interview in CERN Courier.

13 Jun 2024: Speaking (online) at XAI: Explaining what goes on inside DNN/AI (Oct 20, 2020). ... Speaking at Imperial College/University College London, Numerical Analysis Seminar (Feb. 20 2019).

7 Dec 2023:

3 Jul 2024: Lecture notes. Woods Hole Oceanographic Institution GFD summer school: Shear Turbulence: Onset and Structure' 20 June - 26 August 2011, Woods Hole, Massachusetts. (

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].

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.

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 ().

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

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].

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.

18 Jun 2024: FoCM 2023. (Sorbonne University, Paris. 20 June 2023. Semi-Plenary Speaker (10th Popov Prize Lecture). ... Third Symposium on Machine Learning and Dynamical Systems. (Fields Institute. 20 Sep 2022.

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-.

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

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).

4 Oct 2023: P(t) =4V 20. (E1 E2 ω)2sin2((E1 E2 ω)t/2)2 O(V 4) ,. to lowest non–trivial order in V0. Solve this two–state problem exactly to

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).

16 Jan 2024: Cop. yrig. ht. 202. 3 U. nive. rsity. of C. ambr. idge. Not. to b. e qu. oted. or. repr. oduc. ed w. ithou. t per. mis. sion. Mathematical Tripos Part II Prof. C. P. Caulfield. WAVES Lent 2024. Example Sheet 1: Sound Waves. 1. Plane waves and

6 Apr 2024: 15. 20. 16. 20. 17. 20. 18. 20. 19. 20. 20. ... 20. 21. New Papers on“Koopman Operators”. number of papers. doubles every 5 yrs.

29 Feb 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”.

4 Oct 2023: Helium, oxygen and calcium. nuclei contain 2, 8 and 20 protons, respectively.

4 Oct 2023: expansion. 20. The two-point ODE u′′ u = 1, u(1) = u(1) = 0, is solved by a Chebyshev method.(a) Show that the odd coefficients are zero and that

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.

10 Apr 2024: Hom(Λ1H Λ2H) rank : 4 5 = 20. but integrability of P,V further reduces the rank of thebundle in which the torsion lies to 16.

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”.

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

26 Jun 2024: story for leptons? We decompose the left-handed leptons as (5.20). LiL=. ( ... i. L. (6.20). Each of these currents is diagonal in flavour, but this is before we do the rotation (6.9).

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: 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.

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. •

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.

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

3 Jul 2024: 2.2.1 Central Forces 20. 2.2.2 Angular Momentum 21. 2.3 Gravity 22. ... 22 x. 23, from which we can. – 20 –. compute r/xi = xi/r for i = 1, 2, 3.

22 Feb 2024: η =Q̄P̄maxW̄. , (20). where overbars indicate time-averaged quantities.In Fig. 6, ensemble averaged Q̄, W̄ , P̄max, and η are. ... 147, 443 (1974). [20] S. Vogel, Current-induced flow through living sponges innature, Proc.

30 Apr 2024: Bits. On 64-bit architectures, we are basically ok for integers of up to 20 digits (in decimal notation).

1 Dec 2023: on. 08 Ja. n 20. 20 a. t 15:. 00:3. 3, s. ... n 20. 20 a. t 15:. 00:3. 3, s. ubje. ct to.

12 Jun 2024: fixed. – 20 –. For scalar fields (x, y, z) in R3, the gradient is.

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.

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.

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

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.

26 Jun 2024: conditions, Sθ can only take values of the form. Sθ = θN with N Z (1.20). ... 22cNe2. Sθ = θN with N = nn′ Z. which is our promised result (1.20).

4 Oct 2023: dx. d=. dh. dx(2.20). Solutions to this equation are known as instantons. ... tions (2.20) and (2.21) that interpolate between neighbouring minima. This is because.

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.

20 May 2024: 2023) Wormhole Model for Neon-20' arXiv:2303.15567. ... Quantum Grav. 20, 3427-3440. Dunajski, M. and Mason, L.J. (2003) Twistor theory of hyper-K{"a}hler metrics with hidden symmetries', J.

1 Dec 2023: 0.1. 0.5. 0. (c). 0.40.30.20.1 0.5 0.40.30.20.1 0.50. FIGURE 2. Contours of the growth rate Re{σ̂} (as marked) ... 0.25. 0.20. 0.15. 0.10. 0.05. 0 0.5 1.0 1.5 2.0. (a) (b) 15.

13 Feb 2024: Although classically inbiological fluid dynamics the stresslet is the most common Stokes singularity considered [20], onesees that all low order Stokes singularities arise in familiar contexts. ... wkαz. z=H. = 2xαδk3. 0. λdλ J0(λρ)λ sinh hλ.

13 Sep 2023: dt. @L. @ṙ0. = m(r̈0! ṙ0) (2.20). so Lagrange’s equation reads. ... 29 –. Veff. θθθ θ1 20. E. Figure 13: The eective potential for the spherical pendulum.

1 Apr 2024: Landau level. The wavefunction (1.20) depends on two quantum numbers, n and k but. ... 0Lx/l2B. dk =LxLy2πl2B. =eBA. 2π(1.21). – 20 –. where A = LxLy is the area of the sample.

18 Mar 2024: The invariance of theaction (1.20) becomes simply. QS = Q†S = 0 (1.22). ... 2h′ 2 h′′ψ†ψ. ]. – 20 –. Clearly this is equivalent to our original action (1.14) after an integration by parts, but.