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  2. Rebound and scattering of motile Chlamydomonas algae in confined…

    www.damtp.cam.ac.uk/user/lauga/papers/192.pdf
    8 Jul 2021: Cells interact with their surroundingsthrough complex hydrodynamic and steric interactions.21,22 Rigidboundaries, free surfaces and other obstacles in suspensions areknown to strongly affect swimming behaviour.23,24 Relevantcomplex media include
  3. Inverse ProblemsLecture notes, Michaelmas term 2020 University of…

    www.damtp.cam.ac.uk/research/cia/files/teaching/Inverse_Problems_2020/LectureNotes2020.pdf
    18 May 2021: 24 CHAPTER 2. GENERALISED SOLUTIONS. The representation (2.8) makes it clear again that the Moore-Penrose inverse is un-bounded if R(A) is infinite dimensional.
  4. 23 Apr 2021: Particle PhysicsCERN Lectures. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences,. Wilberforce Road,. Cambridge, CB3 OBA, UK. http://www.damtp.cam.ac.uk/user/tong/particlephysics.html.
  5. Diagonalising Infinite-Dimensional Operators 2mmComputing spectral…

    www.damtp.cam.ac.uk/user/mjc249/talks/ICOSAHOM_mjc2
    14 Jul 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:.
  6. Biofilm Growth Under Elastic Confinement: Supplementary Material…

    www.damtp.cam.ac.uk/user/gold/pdfs/Fortune_etal_SM021221.pdf
    2 Dec 2021: 2/x0 0 24 6/x4 2/x2.
  7. 2 Classical Gases‣ Statistical Physics by David Tong

    www.damtp.cam.ac.uk/user/tong/statphys/statmechhtml/S2.html
    18 Oct 2021: 2 Classical Gases. 2 Classical Gases. Our goal in this section is to use the techniques of statistical mechanics to describe the dynamics of the simplest system: a gas. This means a bunch of particles, flying around in a box. Although much of the
  8. 3 Quantum Gases‣ Statistical Physics by David Tong

    www.damtp.cam.ac.uk/user/tong/statphys/statmechhtml/S3.html
    18 Oct 2021: 3 Quantum Gases. 3 Quantum Gases. In this section we will discuss situations where quantum effects are important. We’ll still restrict attention to gases — meaning a bunch of particles moving around and barely interacting — but one of the
  9. 3 The Renormalisation Group‣ Statistical Field Theory by David Tong

    www.damtp.cam.ac.uk/user/tong/sft/sfthtml/S3.html
    16 Oct 2021: ζ. Δ. ϕ. ϕ. (. 𝐱. ). Figure 24: RG flows when.
  10. Can stable and accurate neural networks always be computed?

    www.damtp.cam.ac.uk/user/mjc249/talks/Munich_mjc1
    26 May 2021: Demonstration of convergence. 24 THE BARRIERS OF DEEP LEARNING AND SMALE’S 18TH PROBLEM.
  11. 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:.
  12. justaqm

    www.damtp.cam.ac.uk/user/tong/aqm/justone.pdf
    23 Apr 2021: 1.2.2 The Scattering Amplitude 22. 1.2.3 Partial Waves 24. 1.2.4 The Optical Theorem 27. ... r(1.24). The 1/r fall-o follows from solving the free Schrödinger equation; we’ll see this ex-.
  13. 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,
  14. Preprint typeset in JHEP style - HYPER VERSION Lent ...

    www.damtp.cam.ac.uk/user/tong/aqm/solidstate.pdf
    7 Apr 2021: qg = 2πn with n Z (1.24). This is the famous Dirac quantisation condition. ... qg = 2πn with n Z. This, of course, is the Dirac quantisation condition (1.24).
  15. J. Fluid Mech. (2021), vol. 916, A17, doi:10.1017/jfm.2021.181…

    www.damtp.cam.ac.uk/user/lauga/papers/190.pdf
    8 Jul 2021: Received 13 May 2020; revised 18 February 2021; accepted 24 February 2021). ... Ω. , (2.23). where. A = 6ζ‖ 4Δζ (φ21 φ22 ) O(φ4), (2.24)B = 4Δζ (φ1 φ2) 83 Δζ (φ31 φ32 ) O(φ4), (2.25).
  16. Lecture Notes on Cosmological Soft Theorems Enrico Pajera aDepartment …

    www.damtp.cam.ac.uk/user/ep551/notes_cosmo_soft_theorems.pdf
    16 Apr 2021: D : (3 ττ ) kiki , (4.24)b K : (3 ττ ) 2biki b kkiki 2kikibjkj. ... R|comoving R =A. 2. (5.24). The metric then takes the form.
  17. 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. -.
  18. Convex optimization and quantum information theory

    www.damtp.cam.ac.uk/user/hf323/qip2021_tutorial_cvxqi.pdf
    22 Apr 2021: 23/82. 24/82. Hilbert’s question. Are all nonnegative polynomials sums of squares?
  19. Morphoelasticity of large bending deformations of cell sheets during…

    www.damtp.cam.ac.uk/user/gold/pdfs/morpho_bending.pdf
    22 Feb 2021: A theory ofnon-Euclidean plates [23] has been developed in parallel.Apart from a general geometric theory of morphoelastic sur-faces [24], studies of morphoelastic shells have remained. ... 1 εκsζ 0 ζ0,ζ. (24). The elastic deformation gradient is,
  20. Part III - Classical and Quantum Solitons

    www.damtp.cam.ac.uk/user/examples/3P11e.pdf
    20 Apr 2021: The quantities we are interested in are vortices. 24. 2 Vortices III Classical and Quantum Solitons.
  21. 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

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