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  2. 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.
  3. 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).
  4. 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. •
  5. 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.
  6. 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:.
  7. 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.
  8. 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:.
  9. 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.
  10. 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
  11. 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.
  12. 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.
  13. 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.
  14. 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.
  15. Modelling chordwise-varying porosity to reduceaerofoil-turbulence…

    www.damtp.cam.ac.uk/user/mjc249/pdfs/AIAA_mjc_2021_a.pdf
    31 Jul 2021: tomodel the effects of the porous plate, where 𝜇 = 𝛼𝐻𝐾𝑅/(𝜋𝑟2) is the porosity parameter [23, 24]. ... 723, 2013, pp. 456–479. [24] Howe,M.S., Scott,M. I., andSipcic, S.R., “The influenceof tangentialmeanflowon theRayleigh
  16. 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.
  17. 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.
  18. 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.
  19. 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.
  20. 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.
  21. 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)).

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