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  2. 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.
  3. Under consideration for publication in J. Fluid Mech. 1 ...

    www.damtp.cam.ac.uk/user/hinch/publications/HSB3.pdf
    11 Mar 2024: They solved their lubrication equations(24–32), again by an expansion in a small Deborah number We 1, going tothe first correction.
  4. Preprint typeset in JHEP style - HYPER VERSION Michaelmas ...

    www.damtp.cam.ac.uk/user/tong/kintheory/kintheory.pdf
    22 Feb 2024: 1)f1(r, p. ′2) f1(r, p)f1(r, p2). ](2.24). This is the Boltzmann equation.
  5. 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.
  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. Dow nloa ded from http s://r oyal soci etyp ...

    www.damtp.cam.ac.uk/user/lauga/papers/219.pdf
    2 Jan 2024: Open Sci. 10:230223. https://doi.org/10.1098/rsos.230223. Received: 24 February 2023. Accepted: 30 May 2023. ... Existing theoretical literature onsquirmers echoes the significant influence of boundaries and confinement on their dynamics [24].
  8. 3. Anomalies We learn as undergraduates that particles come ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/3anom.pdf
    26 Jun 2024: p. Figure 24:. to be conserved if we deform the theory, provided that both. ... not Grassmann-valued) four-component spinors n satisfying. i /Dn = nn (3.24).
  9. 27 Apr 2024: 2.2.3 General Charge Distributions 20. 2.2.4 Field Lines 23. 2.2.5 Electrostatic Equilibrium 24.
  10. DO STABLE NEURAL NETWORKS EXIST FOR CLASSIFICATION PROBLEMS? – ...

    www.damtp.cam.ac.uk/research/afha/anders/stability_final_arxiv.pdf
    15 Jan 2024: way. Finally, in the spirit of existing approximation papers [2, 10, 12, 1, 3, 16, 18, 22, 23, 24, 25, 26, 30,31, 33, 28, 34, 36, 40, 46, 47, 48],
  11. Preprint typeset in JHEP style - HYPER VERSION Statistical ...

    www.damtp.cam.ac.uk/user/tong/statphys/statphys.pdf
    29 Dec 2023: Z(1.24). If we make a measurement described by an operator Ô, then the probability that wefind ourselves in the eigenstate |ϕ⟩ is given by.

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