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21 - 30 of 45 search results for TALK:PC53 20 |u:www.damtp.cam.ac.uk where 0 match all words and 45 match some words.

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  2. Vector CalculusUniversity of Cambridge Part IA Mathematical Tripos…

    www.damtp.cam.ac.uk/user/tong/vc/vc1.pdf
    12 Jun 2024: fixed. – 20 –. For scalar fields (x, y, z) in R3, the gradient is.

  3. 6 Tensors A famously annoying definition of a tensor ...

    www.damtp.cam.ac.uk/user/tong/vc/vc6.pdf
    12 Jun 2024: 6.17) is the integration over a p-dimensional subspace,. Z. M. Ti1.ip dSi1.ip (6.20).

  4. Vector Calculus University of Cambridge Part IA Mathematical Tripos…

    www.damtp.cam.ac.uk/user/tong/vc/vc.pdf
    12 Jun 2024: fixed. – 20 –. For scalar fields ϕ(x,y,z) in R3, the gradient is.

  5. 7. Quantum Field Theory on the Line In this ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/72d.pdf
    26 Jun 2024: potential,. NX. a=1. |a|2 = v2 (7.20). This restricts the values of the complex fields to lie on a S2N1 sphere of radius v2. ... it to impose the constraint (7.20) as a delta function. This will result in some strange.

  6. 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: ζ = De(1 η) = Deη̃ for η̃ 1, (3.20)so that De(1 η2) = ζ (2 η̃) 2ζ. ... Specifically, substituting(3.1) into (2.20) yields at O(β̃) the pressure drop P1,.

  7. J. Fluid Mech. (2024), vol. 988, A11, doi:10.1017/jfm.2024.260 Fast…

    www.damtp.cam.ac.uk/user/hinch/publications/JFM988_A11.pdf
    31 May 2024: We shall discuss in 4.1 how long the exit channel must be, but typicalvalues range from x = 5 to x = 20. ... 0.8. 1.0. A11. (1, y. )/A. 11(. , y). y. De = 0.10.20.30.40.5.

  8. Preprint typeset in JHEP style - HYPER VERSION Michaelmas ...

    www.damtp.cam.ac.uk/user/tong/gr/one.pdf
    31 May 2024: which it couples to the new term Aµ(x). It’s simple to check that the action (1.20). ... 1.20) is determined by the Maxwell equation. We will describe the Einstein equations.

  9. 4 The Integral Theorems The fundamental theorem of calculus ...

    www.damtp.cam.ac.uk/user/tong/vc/vc4.pdf
    12 Jun 2024: solve this in conjunction with (4.20) but here it will turn out, somewhat fortuitously,. ... that if we just find the obvious solution to (4.20) then it solves rB = 0 automatically.

  10. Preprint typeset in JHEP style - HYPER VERSION Michaelmas ...

    www.damtp.cam.ac.uk/user/tong/gr/gr.pdf
    31 May 2024: which it couples to the new term Aµ(x). It’s simple to check that the action (1.20). ... 1.20) is determined by the Maxwell equation. We will describe the Einstein equations.

  11. 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: Such methods offer certain advantages (forexample in high dimensional settings [20]), but are typically outperformed by traditional numericalmethods in accuracy in most settings [17]. ... 20] J. Han, A. Jentzen, and W. E. Solving high-dimensional partial

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