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  2. 9 Jun 2021: To determine the positive real roots of the polynomialsthat arise in the semi-analytical approach, we complementthe Durand–Kerner complex root finding implemented in thempmath library [S5] with a test based
  3. 3 Interacting Fields‣ Quantum Field Theory by David Tong

    www.damtp.cam.ac.uk/user/tong/qft/qfthtml/S3.html
    18 Oct 2021: A. 0. then acts as the potential energy for another charged (test) particle moving in this background.
  4. 4 The Einstein Equations‣ General Relativity by David Tong

    www.damtp.cam.ac.uk/user/tong/gr/grhtml/S4.html
    16 Oct 2021: 4 The Einstein Equations. 4 The Einstein Equations. It is now time to do some physics. The force of gravity is mediated by a gravitational field. The glory of general relativity is that this field is identified with a metric. g. μ. ν. (. x. ). on
  5. Stabilizing viscous extensional flows using reinforcement learning

    www.damtp.cam.ac.uk/user/lauga/papers/205.pdf
    1 Dec 2021: II B. This allowsus to test the application of the algorithm to setups on smalllength scales. ... 3) is now given by [1, 1, 1, 1]. (4) For the initial position x0 of the drop, we start by takingx0 = [0.03, 0.02] to test the functionality of
  6. 6 Black Holes‣ General Relativity by David Tong

    www.damtp.cam.ac.uk/user/tong/gr/grhtml/S6.html
    16 Oct 2021: 6 Black Holes. 6 Black Holes. Black holes are among the most enigmatic objects in the universe. They are described by deceptively simple solutions to the Einstein equations, yet hold a host of insights and surprises, from the meaning of causal
  7. February 2021 EPL, 133 (2021) 44002 www.epljournal.orgdoi:…

    www.damtp.cam.ac.uk/user/lauga/papers/188.pdf
    8 Jul 2021: The accuracy of themethod was confirmed by two benchmark tests in ref.
  8. Swirling Instability of the Microtubule Cytoskeleton

    www.damtp.cam.ac.uk/user/lauga/papers/185.pdf
    17 Jan 2021: To test the hypothesis that this transition is driven byfluid-structure interactions, we study a discrete-filament model and a coarse-grained continuum theory formotors moving on a deformable cytoskeleton, both
  9. Swirling Instability of the Microtubule Cytoskeleton

    www.damtp.cam.ac.uk/user/gold/pdfs/swirling.pdf
    13 Jan 2021: To test the hypothesis that this transition is driven byfluid-structure interactions, we study a discrete-filament model and a coarse-grained continuum theory formotors moving on a deformable cytoskeleton, both
  10. 5 Phase Transitions‣ Statistical Physics by David Tong

    www.damtp.cam.ac.uk/user/tong/statphys/statmechhtml/S5.html
    18 Oct 2021: It gets the qualitative behaviour right, but fails on precise quantitative tests.
  11. An “occlusive thrombosis-on-a-chip” microfluidic device for…

    www.damtp.cam.ac.uk/user/gold/pdfs/thrombosis.pdf
    29 Oct 2021: Friedman's test, followed by a post hoc Dunn's multiplecomparisons test. ResultsTime to occlude can be measured in a “pressure relief”model of stable, occlusive thrombi.
  12. CAN STABLE AND ACCURATE NEURAL NETWORKS BE COMPUTED? – ...

    www.damtp.cam.ac.uk/research/afha/anders/Stable_Accurate_NN_Final.pdf
    16 Feb 2021: The test aims to locate local maxima of (4.1) by using a gradient search. ... is likely that thereare many other tests for creating instabilities for NNs for inverse problems.
  13. solidstate

    www.damtp.cam.ac.uk/user/tong/aqm/solid3.pdf
    7 Apr 2021: test ideas from quantum field theory in a simple desktop experiment.
  14. justaqm

    www.damtp.cam.ac.uk/user/tong/aqm/justfour.pdf
    7 Apr 2021: test ideas from quantum field theory in a simple desktop experiment.
  15. Geometry of catenoidal soap film collapse induced by boundary…

    www.damtp.cam.ac.uk/user/gold/pdfs/CatenoidCollapse.pdf
    8 Sep 2021: PHYSICAL REVIEW E 104, 035105 (2021). Geometry of catenoidal soap film collapse induced by boundary deformation. Raymond E. Goldstein ,1, Adriana I. Pesci,1,† Christophe Raufaste ,2,3,‡ and James D. Shemilt1,1Department of Applied Mathematics
  16. 3 The Strong Force In the middle of the ...

    www.damtp.cam.ac.uk/user/tong/pp/pp3.pdf
    23 Apr 2021: 3 The Strong Force. In the middle of the 20th century, the number of seemingly “fundamental” particles. exploded. The electron, proton and neutron had long been known. These were joined,. in 1947, by a new particle called the pion, whose role
  17. Hydrodynamics and direction change of tumbling bacteria

    www.damtp.cam.ac.uk/user/lauga/papers/199.pdf
    20 Jul 2021: RESEARCH ARTICLE. Hydrodynamics and direction change of. tumbling bacteria. Mariia DvoriashynaID, Eric LaugaID. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, United. Kingdom. e.lauga@damtp.cam.ac.uk.
  18. J. Fluid Mech. (2021), vol. 916, A17, doi:10.1017/jfm.2021.181…

    www.damtp.cam.ac.uk/user/lauga/papers/190.pdf
    8 Jul 2021: 2011) interact with theirenvironment and with each other and prompted the creation of artificial microscopicswimmers to test hydrodynamic theories (Valdés et al.
  19. The bank of swimming organisms at the micron scale (BOSO-Micro)

    www.damtp.cam.ac.uk/user/lauga/papers/195.pdf
    8 Jul 2021: RESEARCH ARTICLE. The bank of swimming organisms at the. micron scale (BOSO-Micro). Marcos F. Velho Rodrigues1, Maciej LisickiID2, Eric Lauga1. 1 Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, United.
  20. Preprint typeset in JHEP style - HYPER VERSION Lent ...

    www.damtp.cam.ac.uk/user/tong/aqm/solidstate.pdf
    7 Apr 2021: Preprint typeset in JHEP style - HYPER VERSION Lent Term, 2017. Solid State PhysicsUniversity of Cambridge Part II Mathematical Tripos. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences,.
  21. Preprint typeset in JHEP style - HYPER VERSION Lent ...

    www.damtp.cam.ac.uk/user/tong/aqm/justaqm.pdf
    25 Aug 2021: Preprint typeset in JHEP style - HYPER VERSION Lent Term, 2017. Applications of Quantum MechanicsUniversity of Cambridge Part II Mathematical Tripos. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical
  22. Inverse ProblemsLecture notes, Michaelmas term 2020 University of…

    www.damtp.cam.ac.uk/research/cia/files/teaching/Inverse_Problems_2020/LectureNotes2020.pdf
    18 May 2021: Inverse ProblemsLecture notes, Michaelmas term 2020. University of Cambridge. Yury Korolev and Jonas Latz. May 18, 2021. This work is licensed under a Creative Commons“Attribution-ShareAlike 3.0 Unported” license. 2. Contents. 1 Introduction to

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