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  2. Fluid Mechanics of Mosaic Ciliated Tissues

    www.damtp.cam.ac.uk/user/lauga/papers/204.pdf
    29 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. Computing semigroups and solutions of time-fractional PDEs with error …

    www.damtp.cam.ac.uk/user/mjc249/talks/GSSI_mjc_final
    1 Dec 2021: 24/34. Laplace transform. Method: Apply the above stable and exponentially convergent quadrature rule. ... 24/34. Fractional beam equations. x. u = y = displacement F (x,t) = forcing.
  4. 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.
  5. 1 The Fundamentals of Statistical Mechanics‣ Statistical Physics by…

    www.damtp.cam.ac.uk/user/tong/statphys/statmechhtml/S1.html
    18 Oct 2021: ρ. =. e. -. β. H. Z. (1.24). If we make a measurement described by an operator. ... In the quantum context, it is sometimes written in terms of the density matrix (1.24) as.
  6. 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.
  7. 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.
  8. 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.
  9. 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
  10. 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.
  11. 5 Quantizing the Dirac Field‣ Quantum Field Theory by David Tong

    www.damtp.cam.ac.uk/user/tong/qft/qfthtml/S5.html
    18 Oct 2021: v. r. (. p. ). Figure 23: An incoming anti-fermion. Figure 24: An outgoing anti-fermion. •.

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