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  2. Purely viscous acoustic propulsion of bimetallic rods

    www.damtp.cam.ac.uk/user/lauga/papers/202.pdf
    12 Sep 2021: 99, 178103 (2007). [24] A. Somasundar, S. Ghosh, F. Mohajerani, L.
  3. Stabilizing viscous extensional flows using reinforcement learning

    www.damtp.cam.ac.uk/user/lauga/papers/205.pdf
    1 Dec 2021: Biological and bioinspired appli-cations at high Reynolds numbers include control and energyoptimization in fish swimming [24–26], gliding and perching[27], and locomotion in potential flows [28]. ... Dt 1 = Dt βt δt Qt. (24)To ensure convergence, it
  4. 1 The Expanding Universe‣ Cosmology by David Tong

    www.damtp.cam.ac.uk/user/tong/cosmo/cosmohtml/S1.html
    18 Oct 2021: a. (. t. ′. ). (1.24). This is the size of the observable universe. ... Indeed, mathematically it could be that the integral on the left-hand side of (1.24) does not converge at.
  5. Fluid Mechanics of Mosaic Ciliated Tissues

    www.damtp.cam.ac.uk/user/gold/pdfs/mosaic.pdf
    2 Nov 2021: 1) aresurrounded by nonciliated cells: “goblet cells” that covermost of the tissue secreting mucus-like material [24],mosaically scattered small cells [25,26] secreting serotoninvesicles that modulate the ciliary beat frequency ... 24] S. Nagata,
  6. 2 Free Fields‣ Quantum Field Theory by David Tong

    www.damtp.cam.ac.uk/user/tong/qft/qfthtml/S2.html
    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.
  7. 1 Classical Field Theory‣ Quantum Field Theory by David Tong

    www.damtp.cam.ac.uk/user/tong/qft/qfthtml/S1.html
    18 Oct 2021: ϕ. (. y. ). (1.24). A priori, there’s no reason for this.
  8. 1 Geodesics in Spacetime‣ General Relativity by David Tong

    www.damtp.cam.ac.uk/user/tong/gr/grhtml/S1.html
    16 Oct 2021: q. of the test particle. The equality (1.24) is sometimes called the weak equivalence principle. ... principle (1.24) is that it’s not possible to tell the difference between constant acceleration and a constant gravitational field.
  9. 1 From Spins to Fields‣ Statistical Field Theory by David Tong

    www.damtp.cam.ac.uk/user/tong/sft/sfthtml/S1.html
    16 Oct 2021: 1.24). Here, the notation. {. s. i. }. |. m. (. 𝐱. ). means that we sum over all configurations of spins such that the coarse graining yields. ... We will invoke one last notational flourish. We’re left in (1.24) with a sum over all possible
  10. 3 Introducing Riemannian Geometry‣ General Relativity by David Tong

    www.damtp.cam.ac.uk/user/tong/gr/grhtml/S3.html
    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.
  11. 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

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