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19 Apr 2021: So we write the relevant action:. (24)dλ. It is easy to prove that minimum action extrema of £ with given initial and.

11 Jun 2021: Demonstration of convergence. 24 THE BARRIERS OF DEEP LEARNING AND SMALE’S 18TH PROBLEM.

17 Jan 2021: We then changed the ciliated fraction areain the simulations by changing the distance between cilia in thedirection perpendicular to the beating (d=0.08, 0.16, 0.24,

18 Oct 2021: and. -. 𝑑. x. x. e. -. a. x. 2. =. 0. (2.24). where the second equality follows because the integrand is odd (and suitably well behaved at infinity). ... σ. ). exp. (. -. x. 2. σ. |. α. |. 2. ). =. k. 0. where, to get the final equality, we did the

7 Apr 2021: magnetic field,. An =2eB. (n ) (3.24). This quantisation of area is actually a variant of the Landau level quantisation that we. ... N =. 0. which should clearly be an integer. The quantisation (3.24) due to a background magnetic field.

18 Oct 2021: 24. d. 𝒪. (. a. 2. ). where, in the last line, we’ve used the fact that. ... π. 24. (. 1. d. 1. L. -. d. ). 𝒪. (. a. 2. ). (2.113). This is still infinite in the limit.

27 Feb 2021: 1 Moscow, 121205, Russia. (Received 11 June 2020; revised 5 November 2020; accepted 8 February 2021; published 24 February 2021). ... The coupling of two polaritonic/photonic (nonequilib-rium) CCs was studied in the framework of the weak lasingregime

16 Oct 2021: 3 Introducing Riemannian Geometry. 3 Introducing Riemannian Geometry. We have yet to meet the star of the show. There is one object that we can place on a manifold whose importance dwarfs all others, at least when it comes to understanding gravity.

16 Sep 2021: equations. Lectures 16-18 JRT 11 Fronts, 12 Internal wavesand instability inside fronts: Lectures 19-24 PHH, 13 Wave mean-flow interaction, 14Mean meridional circulations, 15 Equatorial waves.These notes include

10 Sep 2021: Active Brownian motion tunable by light. J. Phys. Condens. Matter 24, 284129 (2012). ... Soft Matter 16, 4961–4968 (2020). 24. Shao, J. et al. Erythrocyte membrane modified Janus polymeric motors for thrombus therapy.