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  2. 31 May 2024: should identify. g00(x) (1. 2Φ(x). c2. )(1.24). where Φ(x) is the Newtonian gravitational field. ... 1.24) but with a linear gravitational potential Φ of the kind that we would invoke for.
  3. Preprint typeset in JHEP style - PAPER VERSION June ...

    www.damtp.cam.ac.uk/user/tong/tasi/tasi.pdf
    31 May 2024: 1.4.1 The Metric on the Higgs Branch 23. 1.4.2 Constructing the Solutions 24. ... in 5 1 dimensions is a sigma-model on a hyperKähler target space [24] which, for.
  4. 4. The Einstein Equations It is now time to ...

    www.damtp.cam.ac.uk/user/tong/gr/four.pdf
    31 May 2024: ṙ2 Ve(r) = E2 (4.24). but this time with the eective potential. ... This tells us that the particle follows a null geodesic. The equation (4.24) gets replaced.
  5. 12 Jun 2024: 1.3.3 An Application: Work and Potential Energy 24. 1.3.4 A Subtlety 25. ... 24 –. We learn that a conservative force, one that can be written as (1.18), has a conserved.
  6. G-Adaptive mesh refinement - leveraging graphneural networks and…

    www.damtp.cam.ac.uk/user/gam37/preprints/preprint_g-adaptive_mesh_refinement.pdf
    11 Jun 2024: There has been a proliferation of architectures inspiredby spectral graph theory [11], convolutional (GCN) [24], message passing (MPNN) [15] and atten-tional (GAT) [40] approaches. ... 24] T. N. Kipf and M. Welling. Semi-Supervised Classification with
  7. 18 Mar 2024: Then, using our previous result (1.24), we have. Tr (1)FeβH =X. ... 24 –. Note that we’re not assuming that all critical points of h correspond to true E = 0.
  8. J. Fluid Mech. (2024), vol. 988, A10, doi:10.1017/jfm.2024.223 Flow…

    www.damtp.cam.ac.uk/user/hinch/publications/JFM988_A10.pdf
    10 Jun 2024: Received 10 October 2023; revised 27 December 2023; accepted 24 February 2024). ... F(Z, ζ ) = 13ζ. Z0. H(Z̃) dZ̃. (3.25). We note that solutions (3.24) satisfy the matching conditions between theinner and outer regions.
  9. Preprint typeset in JHEP style - HYPER VERSION January ...

    www.damtp.cam.ac.uk/user/tong/qhe/qhe.pdf
    1 Apr 2024: ψ(x,y) = ψn,k(x mE/eB2,y) (1.24). and the energies are now given by. ... holomorphic and anti-holomorphic derivatives. =1. 2. (. x+ i. y. )and ̄ =. 1. 2. (. x i. y. ). – 24 –. which obey z = ̄z̄ = 1 and z̄ = ̄z = 0.
  10. CV: Matthew J. ColbrookEMAIL: m.colbrook@damtp.cam.ac.ukWEBSITE:…

    www.damtp.cam.ac.uk/user/mjc249/pdfs/CV_MColbrook2024.pdf
    11 May 2024: 24. M.J. Colbrook, B. Roman, A.C. Hansen, How to compute spectra with error control, Physical Review Letters,2019.Cover highlight for issue.Prizes: Grade 1 Smith–Knight/Rayleigh–Knight
  11. munich_talk_mjc

    www.damtp.cam.ac.uk/user/mjc249/talks/rigged_DMD_munich.pdf
    10 Jun 2024: Slide 24: Spectral measures goes to diagonalisation. Slide 25: Spectral measures goes to dynamics.

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