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  2. 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.
  3. 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.
  4. 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
  5. dynrel

    www.damtp.cam.ac.uk/user/tong/relativity/seven.pdf
    12 Jun 2021: 7. Special Relativity. Although Newtonian mechanics gives an excellent description of Nature, it is not uni-. versally valid. When we reach extreme conditions — the very small, the very heavy or. the very fast — the Newtonian Universe that
  6. Cop yrig ht © 201 6 U nive rsity ...

    www.damtp.cam.ac.uk/user/tong/vc/benjonathan.pdf
    19 May 2021: mis. sion. 4 Surfaces and Surface Integrals 24. 4.1 Surfaces and Normals 24. ... 24 –. Cop. yrig. ht. 201. 6 U. nive. rsity.
  7. 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
  8. IEEE TRANSACTIONS ON SIGNAL PROCESSING 1 Stratified Sampling Based ...

    www.damtp.cam.ac.uk/research/afha/anders/CSPaper_Loss_Colbrook_Hansen.pdf
    8 Mar 2021: 24] B. Adcock and A. C. Hansen, “Generalized sampling and infinite-dimensional compressed sensing,” Foundations of Computational Math-ematics, vol.
  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 BE COMPUTED? – ...

    www.damtp.cam.ac.uk/research/afha/anders/Stable_Accurate_NN_Final.pdf
    16 Feb 2021: fundamental problems of S.Smale on existence of algorithms [24, 25, 100–102] and work by C.
  11. 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.
  12. Vol. 44 (2013) ACTA PHYSICA POLONICA B No 12 ...

    www.damtp.cam.ac.uk/user/tong/talks/zakopane.pdf
    15 Apr 2021: ds2 =L2. r2. (f(r)dt2 dr. 2. f(r) ηµνdx. µdxν). (24). and. ... This is the Reissner–Nordström black hole solution. Itagain has metric (24), now with the function f(r) taking the form.
  13. 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:.
  14. 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,
  15. 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-.
  16. 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).
  17. 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).
  18. Part III MathematicsFluid Dynamics of Climate (PHH part) Michaelmas…

    www.damtp.cam.ac.uk/user/phh/atmosocean/notes2020-21_lectures11-15_19-24.pdf
    16 Sep 2021: equations. Lectures 16-18 JRT 11 Fronts, 12 Internal wavesand instability inside fronts: Lectures 19-24 PHH, 13 Wave mean-flow interaction, 14Mean meridional circulations, 15 Equatorial waves.These notes include
  19. 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. -.
  20. 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.
  21. 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?

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