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  2. Geometrical Constraints on the Tangling of Bacterial Flagellar…

    www.damtp.cam.ac.uk/user/mt599/papers/2020-scirep.pdf
    10 May 2022: the proximal to the distal end of the filament13,24,41. ... Phys. Rev. E 98,. 042419, https://doi.org/10.1103/PhysRevE.98.042419 (2018). 24. Lee, W., Kim, Y., Griffith, B.
  3. 18 May 2022: Rev. Fluid Mech. 24, 313–358 (1992). 8R. E. Goldstein, “Green algae as model organisms for biological fluid dynami-cs,” Annu. ... Miller, “Roles for motility in bacterial–host inter-actions,” Mol. Microbiol. 24, 1109–1117 (1997).
  4. WARPd: A Linearly Convergent First-Order Primal-Dual Algorithm for…

    www.damtp.cam.ac.uk/user/mjc249/pdfs/WARPd_mjc.pdf
    17 Sep 2022: to 1. 93.5. 2.24. 28. by M. atth. ew C. olbr. ... 93.5. 2.24. 28. by M. atth. ew C. olbr. ook. (mjc.
  5. Preprint typeset in JHEP style - HYPER VERSION Michaelmas ...

    www.damtp.cam.ac.uk/user/dt281/dynamics/clas.pdf
    21 Oct 2022: 2.4.1 Noether’s Theorem 24. 2.5 Applications 26. 2.5.1 Bead on a Rotating Hoop 26. ... kinetic energy,. T(t2) T(t1) =i. Fexti dri. i 6=j. Fij dri (1.24).
  6. fluids

    www.damtp.cam.ac.uk/user/tong/fluids/fluids5.pdf
    16 Sep 2022: bit hole. First we’ll sort out some of the terms in (6.24), and then return to the 3-point. ... Our equation (6.24) for the correlation function has now. become. @Cij(r; t).
  7. Preprint typeset in JHEP style - HYPER VERSION F́ısica ...

    www.damtp.cam.ac.uk/user/tong/statphys/fisest.pdf
    25 Aug 2022: Preprint typeset in JHEP style - HYPER VERSION. F́ısica Estad́ıstica. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences. Wilberforce Road,. Cambridge, CB3 OBA, UK.
  8. fluids

    www.damtp.cam.ac.uk/user/tong/fluids/fluids2.pdf
    16 Sep 2022: u = Ga and P =x a. 4r3(3.24). – 78 –. where G is the matrix. Gij =1. 8µ. ijr. xixjr3. The tensor G is known as the Stokeslet. ... right. Proof: First, we’ll check that the solution (3.24) obeys µr2u = rP everywhere.
  9. IMA Journal of Applied Mathematics (2020) 85,…

    www.damtp.cam.ac.uk/user/mjc249/pdfs/scattering_porous_mcolbrook.pdf
    21 Jul 2022: Received on 29 August 2019; revised on 10 April 2020; accepted on 24 June 2020].
  10. Mathematical Tripos Part IB Electromagnetism Harvey Reall…

    www.damtp.cam.ac.uk/user/hsr1000/electromagnetism_lectures.pdf
    28 Feb 2022: E 2E = µ0J. t 1c22E. t2(1.24). Finally use (M1) and rearrange to obtain. ... Φ2(x) =q1. 4π0|x x1|. q24π0|x x2|. (2.24). We now repeat with the third particle and so on, obtaining (2.21) by induction (the.
  11. Day et al. eLife 2022;11:e72707. DOI: https:// doi. org/ ...

    www.damtp.cam.ac.uk/user/gold/pdfs/cellorg.pdf
    21 Feb 2022: Day et al. eLife 2022;11:e72707. DOI: https:// doi. org/ 10. 7554/ eLife. 72707 1 of 28. Cellular organization in lab- evolved and extant multicellular species obeys a maximum entropy lawThomas C Day1, Stephanie S Höhn2, Seyed A Zamani- Dahaj1,3,4
  12. Stabilization of microbial communities by responsive phenotypic…

    www.damtp.cam.ac.uk/user/gold/pdfs/switching.pdf
    19 Sep 2022: PHYSICAL REVIEW RESEARCH 4, 033224 (2022). Stabilization of microbial communities by responsive phenotypic switching. Pierre A. Haas ,1,2,3, Maria A. Gutierrez ,4 Nuno M. Oliveira ,4,5,† and Raymond E. Goldstein 4,‡1Max Planck Institute for the
  13. electro

    www.damtp.cam.ac.uk/user/tong/em/el6.pdf
    3 Dec 2022: n1 sinI = n2 sinT (7.24). This is the law of refraction, known as Snell’s law. – ... Let’s return to Snell’s law (7.24) that tells us the angle of refraction,.
  14. General Relativity

    www.damtp.cam.ac.uk/user/hsr1000/part3_gr_lectures.pdf
    12 Oct 2022: 1.10 The commutator 22. 2 Metric tensors 24. 2.1 Definition 24. ... A Lorentzian. manifold is sometimes called a spacetime. Part 3 GR October 12, 2022 24 H.S.
  15. fluids

    www.damtp.cam.ac.uk/user/tong/fluids/fluids3.pdf
    28 Nov 2022: 2 = gk(1 l2ck2) tanh(kH) (4.24). while the phase velocity is.
  16. susy

    www.damtp.cam.ac.uk/user/tong/susy/susy6.pdf
    13 Jun 2022: 1. CCA (6.24). – 172 –. The Higgs mechanism halts the running of the gauge coupling at the scale v of breaking,.
  17. The difficulty of computing stable and accurate neural networks: On…

    www.damtp.cam.ac.uk/user/mjc249/pdfs/PNAS_Stable_Accurate_NN.pdf
    16 Mar 2022: 1 for an example of AI-generated hallucinations.There is a growing awareness of this problem in high-stakesapplications and society as a whole (20, 23, 24), and instabilityseems to be
  18. electro

    www.damtp.cam.ac.uk/user/tong/em/el4.pdf
    3 Dec 2022: 1. CCCCA(5.24). F̃ µ is sometimes also written as? F µ.
  19. 12 Mar 2022: 0.05 r = (0.24 10–1, –2.76).
  20. Elastohydrodynamic synchronization of rotating bacterial flagella…

    www.damtp.cam.ac.uk/user/mt599/papers/2022-prl.pdf
    10 May 2022: Niedermayer, B. Eckhardt, and P. Lenz, Chaos 18, 037128. (2008).[24] D.
  21. This isa spec ific indiv idual’s copy of the ...

    www.damtp.cam.ac.uk/user/sjc1/teaching/NSTIB/Lent/notes.pdf
    30 Mar 2022: 24. 2.4 Constrained Variation and Lagrange Multipliers. 27. 2.5 Estimating Eigenvalues: The Rayleigh-Ritz Method. ... You should be able to do Example Sheets 1/2/3/4 after lectures 9/14/18/24 respectively.

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