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  2. CV: Matthew J. ColbrookEMAIL: m.colbrook@damtp.cam.ac.ukWEBSITE:…

    www.damtp.cam.ac.uk/user/mjc249/pdfs/CV_MColbrook2024.pdf
    11 May 2024: Outreach articles and interviews. 1. S. Brunton, M.J. Colbrook, Resilient data-driven dynamical systems with Koopman: An infinite-dimensional nu-merical analysis perspective, SIAM News, 2023.Cover highlight for issue. ... 2. V. Antun, M.J. Colbrook, A.C.
  3. 5 The Poisson and Laplace Equations Until now, our ...

    www.damtp.cam.ac.uk/user/tong/vc/vc5.pdf
    12 Jun 2024: construct a new solution. dipole(x) = d r. 1. r. =. d x. r3. for any constant vector d and, again, with r 6= 0. ... origin to the new point x0. Using this, we can continue our proof.
  4. 3 Grad, Div and Curl In this section we’re ...

    www.damtp.cam.ac.uk/user/tong/vc/vc3.pdf
    12 Jun 2024: equations to illustrate new ideas. You’ll find the Laplacian sitting in many other equations of physics.
  5. List of publications H.K. Moffatt May 24, 2024 Curriculum ...

    www.damtp.cam.ac.uk/user/hkm2/HKM_publications.pdf
    18 Jun 2024: Moffatt, H. K. 2006a Corner flow: a classical problem with a new twist. ... K. 1993d Spiral structures in turbulent flow. In New Approaches and Concepts inTurbulence (ed.
  6. standardmodel

    www.damtp.cam.ac.uk/user/tong/sm/standardmodel7.pdf
    26 Jun 2024: And the good news. is that there is a very natural explanation at hand. ... allows for something new. This is the term. LMaj =1. 2MRR h.c.
  7. PUBLICATION LIST -- J

    www.damtp.cam.ac.uk/user/tsm/jrw_publist1.pdf
    3 Jun 2024: Miklowitz and J. D. Achenbach, pp. 347-371, John Wiley, New York (l978). ... Nemat-Nasser, pp. 59-66, Pergamon, New York (1980). 51. D. R. S.
  8. 2 Surfaces (and Volumes) The main purpose of this ...

    www.damtp.cam.ac.uk/user/tong/vc/vc2.pdf
    12 Jun 2024: Our new notation does, however, retain the idea of ordering. You should work from. ... with something new and exciting: an unorientable surface, known as a Möbius strip.
  9. standardmodel

    www.damtp.cam.ac.uk/user/tong/sm/standardmodel6.pdf
    26 Jun 2024: any attempt to introduce new physics that goes beyond the Standard Model will typi-. ... sector. In particular, this new perspective gives the strong CP problem extra bite.
  10. munich_talk_mjc

    www.damtp.cam.ac.uk/user/mjc249/talks/rigged_DMD_munich.pdf
    10 Jun 2024: 20. 21. New Papers on“Koopman Operators”. number of papers. doubles every 5 yrs. ... 17. 20. 18. 20. 19. 20. 20. 20. 21. New Papers on“Koopman Operators”.
  11. 6 Tensors A famously annoying definition of a tensor ...

    www.damtp.cam.ac.uk/user/tong/vc/vc6.pdf
    12 Jun 2024: hand. I will introduce a new symbol for “dierentiation and anti-symmetrisation” and. ... connection. Here our new anti-symmetric derivative obeys D2(anything) = 0. But we.
  12. 12 Jun 2024: For. such curves, we introduce new notation and write the line integral asI. ... should be viewed as infinitesimally close to each other. These two new segments have.
  13. 12 Jun 2024: meet. The sign means that it’s good news for one, less good for the other. ... Both new terms come with. minus signs, which is appropriate because fighting is bad.
  14. 6. Large N Non-Abelian gauge theories are hard. We ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/6n.pdf
    26 Jun 2024: these properties. With these new couplings, the Yang-Mills action is. SYM = N. ... gauge theory. At this point, it is useful to introduce some new notation.
  15. BMC_talk_mjc

    www.damtp.cam.ac.uk/user/mjc249/talks/rigged_DMD_manchester.pdf
    18 Jun 2024: 20. 21. New Papers on“Koopman Operators”. number of papers. doubles every 5 yrs.
  16. 3 The Formalism of Quantum Mechanics In the previous ...

    www.damtp.cam.ac.uk/user/tong/qm/qm3.pdf
    26 Jun 2024: and gives you back a new function. Throughout these lectures we will dress any such.
  17. topicsinqm

    www.damtp.cam.ac.uk/user/tong/aqm/topics1.pdf
    2 Jul 2024: E, so the new Hamiltonian reads. H = 2. 2mr2 V (r) ex E.
  18. 4 A Quantum Particle in Three Dimensions We will ...

    www.damtp.cam.ac.uk/user/tong/qm/qm4.pdf
    26 Jun 2024: imuthal angular momentum). Before we get going, let’s introduce some new variables. ... plifying things, we’ve introduced a new physical constant c, the speed of light.
  19. topicsinqm

    www.damtp.cam.ac.uk/user/tong/aqm/topics2.pdf
    2 Jul 2024: Then, whenever we’re faced with a new problem we can root around in our toolbox,. ... and h;|p2(0)|;i = m!2. The position operator now evolves, governed by the new Hamiltonian H,.
  20. Preprint typeset in JHEP style - HYPER VERSION 2018 ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/1em.pdf
    26 Jun 2024: mathematical construct known as a fibre bundle. This brings something new to the. ... The equations (1.13) carry much – although not all – of the new physics.
  21. 2 A Quantum Particle in One Dimension There is ...

    www.damtp.cam.ac.uk/user/tong/qm/qm2.pdf
    26 Jun 2024: only take certain discrete values in this new framework. For the particle on a circle, we. ... Take whatever you. think is the coolest result in physics – maybe the Higgs boson, or some new material.

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