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  2. 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,
  3. Swirling Instability of the Microtubule Cytoskeleton

    www.damtp.cam.ac.uk/user/lauga/papers/185.pdf
    17 Jan 2021: actin. Here, through a combination of direct computationson the coupled filament-flow problem [24] and studies of acontinuum theory for dense filament suspensions [28], weconfirm this hypothesis by showing the existence ... ffiffiffiffiffiffiffiffiffiffif
  4. 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.
  5. 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.
  6. The bank of swimming organisms at the micron scale (BOSO-Micro)

    www.damtp.cam.ac.uk/user/lauga/papers/195.pdf
    8 Jul 2021: cells swim [24–28]. Absolute pressure [29], pH [30] and even magnetic field [31] have also. ... Bi = 0.11 0.06 (n = 2),hB/Li = 0.63 0.24 (n = 9)).
  7. Stephen J. Cowley: University Committees

    www.damtp.cam.ac.uk/user/sjc1/Council/Committees.html
    21 May 2021: 01/01/17-. 31/12/18). ;. the Governance Review Working Group. (24/04/17-. 31/12/20. );. the Pensions Advisory Group. (May 2017 onwards, also October 2010 - December 2014).
  8. 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.
  9. 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.
  10. 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.
  11. Diagonalising Infinite-Dimensional Operators 2mmComputing spectral…

    www.damtp.cam.ac.uk/user/mjc249/talks/mjc_AustMS
    10 Dec 2020: 24] McMullen, C. (1987) "Families of rational maps and iterative root-finding algorithms." Annals of mathematics 467-493. ... 1.29:. 1.28:. 1.27:. 1.26:. 1.25:. 1.24:. 1.23:. 1.22:. 1.21:. 1.20:. 1.19:.
  12. Computing spectral measures anda programme on the foundations of ...

    www.damtp.cam.ac.uk/user/mjc249/talks/spec_meas_IWOTA
    19 Aug 2021: 1.29:. 1.28:. 1.27:. 1.26:. 1.25:. 1.24:. 1.23:. 1.22:. 1.21:. 1.20:. 1.19:. ... 0.31:. 0.30:. 0.29:. 0.28:. 0.27:. 0.26:. 0.25:. 0.24:. 0.23:. 0.22:. 0.21:.
  13. 4 Classical Thermodynamics‣ Statistical Physics by David Tong

    www.damtp.cam.ac.uk/user/tong/statphys/statmechhtml/S4.html
    18 Oct 2021: Figure 24:. Expressing the work as. -. d. W. =. -. p. d. V. also allows us to underline the meaning of the new symbol. -.
  14. Traveling waves are hydrodynamically optimal for long-wavelength…

    www.damtp.cam.ac.uk/user/lauga/papers/182.pdf
    14 Dec 2020: Fluid Mech. 24, 313 (1992).[17] J. S. Guasto, R. Rusconi, and R. ... Fluid Mech. 762,. (2015). 123101-9. ERIC LAUGA. [24] T. D. Montenegro-Johnson and E.
  15. Front-back asymmetry controls the impact of viscoelasticity on…

    www.damtp.cam.ac.uk/user/lauga/papers/191.pdf
    8 Jul 2021: While recent numerical work reported that the elasticstresses in the wake of rigid cylinders depend on the orientation of the cylinder relative to its velocity[24], the dependence of the drag ... symmetry breaking, Phys. Fluids 24, 103102 (2012).[19] J. A
  16. dynrel

    www.damtp.cam.ac.uk/user/tong/relativity/six.pdf
    12 Jun 2021: anti-clockwise in the Southern hemisphere. Notice that the period of rotation is not 24. ... hours unless the pendulum is suspended at the poles. Instead the period is 24/ sin.
  17. February 2021 EPL, 133 (2021) 44002 www.epljournal.orgdoi:…

    www.damtp.cam.ac.uk/user/lauga/papers/188.pdf
    8 Jul 2021: 19]. Ex-perimental work on bacteria in their swimming [20–24]or swarming states [25,26], algae [27,28] and sperma-tozoa [29,30] provide diverse examples of correlated,collective dynamics ... 23] Wolgemuth C. W., Biophys. J., 95 (2008) 1564.[24] Sokolov
  18. 3 Structure Formation‣ Cosmology by David Tong

    www.damtp.cam.ac.uk/user/tong/cosmo/cosmohtml/S3.html
    18 Oct 2021: 3 Structure Formation. 3 Structure Formation. Until now, we have discussed a universe which is perfectly homogeneous and isotropic. But that is not the universe we live in. Instead, our universe contains interesting objects which clump together,
  19. 8 Oct 2021: and absolutely impossible for me to do so in a course of 24 lectures).
  20. A nonlinear journey - from chaos to random media

    www.damtp.cam.ac.uk/user/or100/2020_ENS_Varsity.pdf
    19 Apr 2021: Rath Spivack University of Cambridge)A nonlinear journey - from chaos to random media March 1, 2020 24 / 25.
  21. Oldroyd B, and not A?

    www.damtp.cam.ac.uk/user/hinch/talks/OldroydTalk4.pdf
    9 Sep 2021: 24. Popularity of Oldroyd-B. Enduring use of Oldroyd-B:. I Only 3 parameters to fit data,.
  22. Swirling Instability of the Microtubule Cytoskeleton

    www.damtp.cam.ac.uk/user/gold/pdfs/swirling.pdf
    13 Jan 2021: actin. Here, through a combination of direct computationson the coupled filament-flow problem [24] and studies of acontinuum theory for dense filament suspensions [28], weconfirm this hypothesis by showing the existence ... ffiffiffiffiffiffiffiffiffiffif
  23. 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
  24. Field Theory in Cosmology: Example Sheet 1 1. For ...

    www.damtp.cam.ac.uk/user/ep551/example_sheet_1_FT_in_Cosmo.pdf
    15 Apr 2021: Notice that by the Friedmann equation. 3M2PlH2 = Λ (24). A metric with this property is called conformally flat.
  25. 5 Phase Transitions‣ Statistical Physics by David Tong

    www.damtp.cam.ac.uk/user/tong/statphys/statmechhtml/S5.html
    18 Oct 2021: 5 Phase Transitions. 5 Phase Transitions. A phase transition is an abrupt, discontinuous change in the properties of a system. We’ve already seen one example of a phase transition in our discussion of Bose-Einstein condensation. In that case, we
  26. Turing’s Diffusive Threshold in Random Reaction-Diffusion Systems

    www.damtp.cam.ac.uk/user/gold/pdfs/turing.pdf
    9 Jun 2021: activator” [24,25], the com-plicated instability conditions for N > 2 [26] do not lendthemselves to analytical progress.Here, we analyze the diffusive threshold for Turing. ... Natl. Acad. Sci. U.S.A.115, 6572 (2018). [24] A. J. Koch and H.
  27. Capillary-Induced Motion of Particles Bridging Interfaces of a…

    www.damtp.cam.ac.uk/user/hinch/publications/PhysRevLett.122.098001.pdf
    25 Oct 2021: a temperature of about 24 C (1 C), and a relativehumidity of 35% (2%). ... N. Manoharan, Nat. Mater. 11, 138 (2012).[24] M. Zanini, C. Marschelke, S.
  28. 8 Jul 2021: B. Microsphere motion. The dynamics of a microsphere forced by an optical trap whose position is laterally oscillated isa well-studied problem [24]. ... Phys. 1, 28 (2018).[24] K. C. Neuman and S. M. Block, Optical trapping, Rev.
  29. 27 May 2021: B. Microsphere motion. The dynamics of a microsphere forced by an optical trap whose position is laterally oscillated isa well-studied problem [24]. ... Phys. 1, 28 (2018).[24] K. C. Neuman and S. M. Block, Optical trapping, Rev.
  30. justaqm

    www.damtp.cam.ac.uk/user/tong/aqm/justsix.pdf
    7 Apr 2021: qg = 2n with n 2 Z (6.24). This is the famous Dirac quantisation condition. ... In this. case, it’s sucient to impose the Dirac quantisation condition (6.24) where q is the.
  31. Oldroyd B, and not A? John Hincha, Oliver Harlenb,∗ ...

    www.damtp.cam.ac.uk/user/hinch/publications/Oldroyd12b.pdf
    25 Oct 2021: 24. I (Significance of limited free rotation for the viscosity and flow birefringence. ... J. Chem. Phys. 24, 269–. 278. [34] J.G. Kirkwood and J Riseman (1948) The Intrinsic Viscosities and Diffu-.
  32. 5. Discrete Symmetries In this section, we discuss the ...

    www.damtp.cam.ac.uk/user/tong/aqm/aqmfive.pdf
    25 Aug 2021: L1 = L (5.24). – 137 –. We can also see how it acts on states. ... 5.24). S1 = S (5.26). For a spin- 12 particle, we have S =2 with the vector of Pauli matrices.
  33. dynrel

    www.damtp.cam.ac.uk/user/tong/relativity/two.pdf
    12 Jun 2021: perpendicular to B. In the last line, we’ve used the equation (2.24). ... oscillating with frequency! = qB/m. However, because of the constraint (2.24), the.
  34. Hydrodynamic synchronization in strong confinement

    www.damtp.cam.ac.uk/user/lauga/papers/187.pdf
    8 Jul 2021: Since all the prefactors in Eq. (24), including r2and 〈y1, y2〉, are positive numbers, the phase difference (2)0 isthe linearly stable solution to Eq. ... 24) is not entirelyequivalent to the Adler’s equation. It is important to note thatboth r2 and.
  35. 3 The Strong Force In the middle of the ...

    www.damtp.cam.ac.uk/user/tong/pp/pp3.pdf
    23 Apr 2021: 3 The Strong Force. In the middle of the 20th century, the number of seemingly “fundamental” particles. exploded. The electron, proton and neutron had long been known. These were joined,. in 1947, by a new particle called the pion, whose role
  36. solidstate

    www.damtp.cam.ac.uk/user/tong/aqm/solid3.pdf
    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.
  37. 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.
  38. Can stable and accurate neural networks always be computed?

    www.damtp.cam.ac.uk/user/mjc249/talks/popup_final_mjc
    22 Jul 2021: Demonstration of convergence. 24 THE BARRIERS OF DEEP LEARNING AND SMALE’S 18TH PROBLEM.
  39. justaqm

    www.damtp.cam.ac.uk/user/tong/aqm/justfour.pdf
    7 Apr 2021: magnetic field,. An =2eB. (n ) (4.24). 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 (4.24) due to a background magnetic field.
  40. Direct versus indirect hydrodynamic interactions during bundle…

    www.damtp.cam.ac.uk/user/lauga/papers/183.pdf
    14 Dec 2020: The protein structure of the filaments allows for multiple differenthelical configurations, a phenomenon called polymorphism [24,25], which may change dependingon the dynamic load [26]. ... G1 = Ge, (24). δ = R3, (25). R(x) = 18π μ.
  41. Can stable and accurate neural networks always be computed?

    www.damtp.cam.ac.uk/user/mjc249/talks/SIAM_2021_mjc
    23 Jul 2021: Demonstration of convergence. 24 THE BARRIERS OF DEEP LEARNING AND SMALE’S 18TH PROBLEM.
  42. Artificial polariton molecules

    www.damtp.cam.ac.uk/user/ngb23/publications/PhysRevB.103.L060507.pdf
    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
  43. 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.
  44. 5 Mar 2021: of Bristol, 24 Tyndall Avenue, Bristol BS8 1TQ, UK. ... uθ = cΩ I1(κr)K1(κ) K1(κr)I1(κ)I1(κc)K1(κ) K1(κc)I1(κ), (4.24)where. α0 = cκΩ. I1(κ)I1(κc)K1(κ)
  45. Dynamics of a helical swimmer crossing viscosity gradients

    www.damtp.cam.ac.uk/user/lauga/papers/201.pdf
    10 Sep 2021: coli bacteria showingchemo-attraction to self-produced autoinducers [24]. A mechanical example of taxis, viscotaxis, emerges when a cell adapts its motion in responseto viscosity gradients. ... U2 (h) = A2 D2hB2 C2h , (23). where. A2 = ξ λ′ (1 βT )R
  46. Hydrodynamics and direction change of tumbling bacteria

    www.damtp.cam.ac.uk/user/lauga/papers/199.pdf
    20 Jul 2021: RESEARCH ARTICLE. Hydrodynamics and direction change of. tumbling bacteria. Mariia DvoriashynaID, Eric LaugaID. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, United. Kingdom. e.lauga@damtp.cam.ac.uk.
  47. solidstate

    www.damtp.cam.ac.uk/user/tong/aqm/solid2.pdf
    7 Apr 2021: ai bj = 2 ij (2.24)? is sometimes referred to as the dual lattice. ... 52 –. The condition (2.24) can also be stated as the requirement that.
  48. Geometry of catenoidal soap film collapse induced by boundary…

    www.damtp.cam.ac.uk/user/gold/pdfs/CatenoidCollapse.pdf
    8 Sep 2021: 3Institut Universitaire de France (IUF), 75005 Paris, France. (Received 9 May 2021; accepted 24 August 2021; published 8 September 2021). ... 24). It follows that the rescaled area S = A/a2 monotonically de-creases in time,.
  49. Asymptotic theory of hydrodynamic interactions between slender…

    www.damtp.cam.ac.uk/user/lauga/papers/196.pdf
    10 Sep 2021: D. Leading-order dynamics. The induced flow, Eq. (24), makes no contributions to Eq. ... 24). Wefind that the first-order correction to the force distribution is given by.
  50. An “occlusive thrombosis-on-a-chip” microfluidic device for…

    www.damtp.cam.ac.uk/user/gold/pdfs/thrombosis.pdf
    29 Oct 2021: relevance to human disease, and even promising compoundsoften fail to show an effect in clinical trials.24,25.
  51. B9s.dvi

    www.damtp.cam.ac.uk/user/examples/B9s.pdf
    6 Oct 2021: 1923-24: de Broglie proposes wave-particle duality for matter, as for radiation. •

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