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  2. 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: 5.2 Poisson’s equation. Our first test problem is the elliptic Poisson’s equation. ... Top row: G-adaptive mesh. Middle row: Monge-Ampère meshes. Bottom row: PDE solution.
  3. standardmodel

    www.damtp.cam.ac.uk/user/tong/sm/standardmodel6.pdf
    31 May 2024: model. So far, it is a test that the Standard Model has passed with flying colours. ... To perform this test, it’s traditional to divide by V? cbVcd and write the constraint as.
  4. standardmodel

    www.damtp.cam.ac.uk/user/tong/sm/standardmodel3.pdf
    31 May 2024: first course on Electromagnetism. Suppose that you take two test particles, a quark in. ... Here. “confinement” means that if you introduce two test particles into the theory – a quark.
  5. 31 May 2024: Maxwell equations, while the motion of test particles is dictated by the Lorentz force. ... As. we will see, this is the question of how test particles move in a fixed, curved spacetime.
  6. 4. The Einstein Equations It is now time to ...

    www.damtp.cam.ac.uk/user/tong/gr/four.pdf
    31 May 2024: The middle term in (4.2) is already proportional to gµ. We now deal with the first.
  7. 6. Black Holes Black holes are among the most ...

    www.damtp.cam.ac.uk/user/tong/gr/six.pdf
    31 May 2024: The radius of the S2 is 2GM in the middle of the wormhole at = GM/2, and then. ... grows as we move away in either direction. This middle point is where the two horizons.
  8. 12 Jun 2024: So it passes the derivative test. Indeed, it’s not. then hard to check that. ... Then we might. approximate the integral asD. ϕ(x)dA n. ϕ(xn)δA. where xn is a point in the middle of each shape.
  9. Preprint typeset in JHEP style - PAPER VERSION June ...

    www.damtp.cam.ac.uk/user/tong/tasi/tasi.pdf
    31 May 2024: Preprint typeset in JHEP style - PAPER VERSION June 2005. TASI Lectures on SolitonsInstantons, Monopoles, Vortices and Kinks. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences,. Wilberforce Road,
  10. standardmodel

    www.damtp.cam.ac.uk/user/tong/sm/standardmodel2.pdf
    31 May 2024: h0+|(x)(y)|0i! h0+|(x)|0i h0|(y)|0i = v2 (2.37). This does not obey cluster decomposition because the vacuum |0i that we need toinsert in the middle diers ... a litmus test for whether the symmetry G is broken. The vacuum manifold M0 canthen be
  11. Preprint typeset in JHEP style - HYPER VERSION 2018 ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/gt.pdf
    4 Jun 2024: Preprint typeset in JHEP style - HYPER VERSION 2018. Gauge Theory. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences,. Wilberforce Road,. Cambridge, CB3 OBA, UK.

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