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  2. Collapse of a hemicatenoid bounded by a solid wall: instability and…

    www.damtp.cam.ac.uk/user/gold/pdfs/hemicatenoid.pdf
    7 Jul 2022: The updated shape of the catenoid is obtained byfinding a minimal surface with the new position of the contactlines, which then yields the updated C along the SPBs, and thevelocity for ... Douglas, Some new results in the problem of Plateau,J. Math. Phys.
  3. Preprint typeset in JHEP style - HYPER VERSION Michaelmas ...

    www.damtp.cam.ac.uk/user/tong/sft/one.pdf
    21 Feb 2022: new way of thinking about the world. This leads us to a paradigm which now underlies. ... next, and new creative ideas are needed at each step, but this doesn’t change the fact.
  4. fluids

    www.damtp.cam.ac.uk/user/tong/fluids/fluids4.pdf
    28 Nov 2022: Figure 30. Poiseuille flow for low, medium, and high Reynolds number. 5 Instabilities. We started these lectures by studying some simple, laminar flows in which the fluid. moves smoothly through space. One important question that we haven’t yet
  5. Preprint typeset in JHEP style - HYPER VERSION Michaelmas ...

    www.damtp.cam.ac.uk/user/tong/dynamics/clas.pdf
    21 Oct 2022: The fundamental principles of classical mechanics were laid down by Galileo and New-. ... electrons meld together in solids to form new states of matter, then the foundations.
  6. Geometrical Constraints on the Tangling of Bacterial Flagellar…

    www.damtp.cam.ac.uk/user/mt599/papers/2020-scirep.pdf
    10 May 2022: Our results bring a new perspective on the ability of multi-flagellated bacteria to passively form coherent, tangle-free bundles of flagella that can be continuously actuated during a run and
  7. University of Cambridge, DAMTP: Goldstein Lab

    www.damtp.cam.ac.uk/user/gold/research.html
    16 May 2022: This is then confirmed by new experiments reported here, which include measurements of flagella bundle orientation and cell tracking in the self-organized state.
  8. 12 Mar 2022: J. Fluid Mech. (1999), vol. 382, pp. 283–306. Printed in the United Kingdom. c 1999 Cambridge University Press283. Secondary instabilities in rapidly rotating fluids:inertial wave breakdown. By R. R. K E R S W E L LDepartment of Mathematics,
  9. 3 The Motion of Rigid Bodies�

    www.damtp.cam.ac.uk/user/tong/dynamics/dynhtml/S3.html
    27 Mar 2022: The orbit of Toutatis is thought to be chaotic, which could potentially be bad news for Earth a few centuries from now. ... 1. ′. Step 3: Rotate by. ψ. about the new new axis.
  10. 2 The Lagrangian Formalism

    www.damtp.cam.ac.uk/user/tong/dynamics/dynhtml/S2.html
    27 Mar 2022: We introduce. 3. N. -. n. new variables. λ. α. , called Lagrange multipliers and define a new Lagrangian. ... ω. 2. >. g. /. a. , the position at the bottom becomes unstable and the new solution at.
  11. Residual Dynamic Mode Decomposition Rigorous data-driven computation…

    www.damtp.cam.ac.uk/user/mjc249/talks/ResDMD_VT_mjc.pdf
    9 Nov 2022: 17. 20. 18. 20. 19. 20. 20. 20. 21. New Papers on“Koopman Operators”. ... Idea: New matrix for residual ResDMD for computing spectra. • Continuous spectra and spectral measures:.
  12. Biofilm Growth under Elastic Confinement

    www.damtp.cam.ac.uk/user/gold/pdfs/biofilms.pdf
    29 Apr 2022: 4],most notably by van Leeuwenhoek in his dental plaque [5].Yet, it is only in the last few decades with the developmentof new genetic and molecular techniques that the ... Bjarnsholt, P. Ø. Jensen, C. Moser and N. Høiby(Springer, New York, 2011), pp.
  13. 4 The Hamiltonian Formalism

    www.damtp.cam.ac.uk/user/tong/dynamics/dynhtml/S4.html
    27 Mar 2022: The new ingredient that we now add is Lagrange’s equation which reads. ... After inverting, this equation can be thought of as defining the new coordinate.
  14. 18 May 2022: REFERENCES1D. Bray, Cell Movements (Garland Publishing, New York, 2000).2J. S. Guasto, R. ... Rev.Lett. 105, 018103 (2010). 29J. Avron, O. Kenneth, and D. Oaknin, “Pushmepullyou: An efficient micro-swimmer,” New J.
  15. Instability of an active fluid jet

    www.damtp.cam.ac.uk/user/lauga/papers/212.pdf
    9 Nov 2022: Our findings help reveal new features of the collectiveproperties of active fluids. ... V. DISCUSSION. In this study, we investigated new features of the collective properties of active fluids.
  16. 29 Jan 2022: We next use these new drag coefficients to computethe filament-induced advection of the point force. ... Brokaw, and C. Brennen (Springer, New York, 1975)Vol. 2, pp. 687–702.
  17. The Unified Transform: A Spectral Collocation Methodfor Acoustic…

    www.damtp.cam.ac.uk/user/mjc249/pdfs/AIAA2019_mjc.pdf
    22 Jul 2022: 1 As the geometry of the scatterer becomes more complicated, computational time and storagerequirements increase and new techniques are sought to reduce these costs.
  18. 16 Jun 2022: by a combination of the naturalconstants (in the fashion of a coordinate change) to obtain new, unit-freecoordinates, parameters, functions. ... H1 H2 H and Ĥ1 = Ĥ2 = Ĥ. Then wefind a new requirement that any state has to fulfil.
  19. electro

    www.damtp.cam.ac.uk/user/tong/em/el4.pdf
    3 Dec 2022: But,. combined with our previous knowledge, this tells us something new and important:. ... Taking the obvious. square of F̃ doesn’t give us anything new, since.
  20. 1 Raymond Ethan Goldstein FRS Researcher ID: F-2932-2011; ORCID: ...

    www.damtp.cam.ac.uk/user/gold/pdfs/CV_REGoldstein290522.pdf
    29 May 2022: e). 3. 2020 – Advisory Board, Flow 2022 – Member, Scientific Advisory Board, Flatiron Institute (Simons Foundation), New York MEMBERSHIPS OF SCIENTIFIC SOCIETIES 2003 Fellow of the American Physical Society, USA 2009 Fellow ... Dunkel, S. Heidenreich,
  21. electro

    www.damtp.cam.ac.uk/user/tong/em/el2.pdf
    3 Dec 2022: They’re one of the few predictions for new physics that nearly all theories agree upon. ... The new definitions of SI units means thatwe can no longer say with certainty that µ0 = 4 107 m Kg C2, but this only holds up to theexperimental accuracy of a
  22. Elastohydrodynamic Synchronization of Rotating Bacterial Flagella

    www.damtp.cam.ac.uk/user/lauga/papers/210.pdf
    18 May 2022: R. Bennett and R. Golestanian, New J. Phys. 15, 075028. (2013).[12] S. ... Rev. E 103, 022403. (2021).[28] H. C. Berg, E. coli in Motion (Springer-Verlag, New York,.
  23. fluids

    www.damtp.cam.ac.uk/user/tong/fluids/fluids5.pdf
    16 Sep 2022: must form. It’s useful to think of these new length scales emerging as the original, large.
  24. PNAS202212078_proof

    www.damtp.cam.ac.uk/user/lauga/papers/213.pdf
    9 Nov 2022: Among cells found within 20 μm from the surface, 96.0 0.3% (mean SD) appeared in the range of 1–5 μm in New-tonian fluids, whereas the percentage dropped
  25. Pseudoergodic operators and periodic boundary conditions

    www.damtp.cam.ac.uk/user/mjc249/pdfs/Pseudoergodic_BCs.pdf
    22 Jul 2022: We also convertthis new result into an efficient algorithm that converges to the pseudospectrumin the Hausdorff metric, which we numerically demonstrate on a wide range ofexamples. ... We numericallydemonstrate the algorithm for general p and also
  26. fluids

    www.damtp.cam.ac.uk/user/tong/fluids/fluids3.pdf
    28 Nov 2022: The main motivation from this comes from the fact that. Earth spins and this gives rise to some new types of waves with rather interesting.
  27. Preprint typeset in JHEP style - HYPER VERSION Michaelmas ...

    www.damtp.cam.ac.uk/user/dt281/dynamics/clas.pdf
    21 Oct 2022: The fundamental principles of classical mechanics were laid down by Galileo and New-. ... electrons meld together in solids to form new states of matter, then the foundations.
  28. Stabilization of microbial communities by responsive phenotypic…

    www.damtp.cam.ac.uk/user/gold/pdfs/switching.pdf
    19 Sep 2022: PHYSICAL REVIEW RESEARCH 4, 033224 (2022). Stabilization of microbial communities by responsive phenotypic switching. Pierre A. Haas ,1,2,3, Maria A. Gutierrez ,4 Nuno M. Oliveira ,4,5,† and Raymond E. Goldstein 4,‡1Max Planck Institute for the
  29. WARPd: A Linearly Convergent First-Order Primal-Dual Algorithm for…

    www.damtp.cam.ac.uk/user/mjc249/pdfs/WARPd_mjc.pdf
    17 Sep 2022: Copyright by SIAM. Unauthorized reproduction of this article is prohibited. SIAM J. IMAGING SCIENCES 2022 Society for Industrial and Applied MathematicsVol. 15, No. 3, pp. 1539–1575. WARPd: A Linearly Convergent First-Order Primal-Dual Algorithm
  30. Asymptotic theory of hydrodynamic interactions between slender…

    www.damtp.cam.ac.uk/user/mt599/papers/2021-prf.pdf
    10 May 2022: 44), involves a new quantity that we have. not calculated explicitly yet – the tensor Pij, defined in Eq. ... Below, we go. into more detail about the evaluation of the new row P1j for helical filaments, which will be.
  31. General Relativity

    www.damtp.cam.ac.uk/user/hsr1000/part3_gr_lectures.pdf
    12 Oct 2022: this way: we can define a new tensor by ”contracting” any upstairs index with any. ... downstairs index. Another important way of constructing new tensors is by taking the product of two.
  32. electro

    www.damtp.cam.ac.uk/user/tong/em/el3.pdf
    3 Dec 2022: The linearity of the Maxwell equations also encourages us to introduce some new.
  33. Mathematical Tripos Part IB Electromagnetism Harvey Reall…

    www.damtp.cam.ac.uk/user/hsr1000/electromagnetism_lectures.pdf
    28 Feb 2022: current. This was a completely new physical effect first predicted by Maxwell’s theory. ... new fields D and H and make the substitutions E D/0 and B µ0H in (M1) and(M4).
  34. Day et al. eLife 2022;11:e72707. DOI: https:// doi. org/ ...

    www.damtp.cam.ac.uk/user/gold/pdfs/cellorg.pdf
    21 Feb 2022: org/ 10. 7554/ eLife. 72707 5 of 28. these new cells bud in random orientations. ... We then varied the probability ξ that a new cell is the same size as its mother from 0.5 to 1.0.
  35. Elastohydrodynamic synchronization of rotating bacterial flagella…

    www.damtp.cam.ac.uk/user/mt599/papers/2022-prl.pdf
    10 May 2022: 2] H. Machemer, J. Exp. Biol. 57, 239 (1972).[3] D. Bray, Cell Movements (Garland Publishing, New York, NY,. ... R. Bennett and R. Golestanian, New J. Phys. 15, 75028. (2013).[12] S.
  36. GENERALISED HARDNESS OF APPROXIMATION AND THE SCI HIERARCHY– ON ...

    www.damtp.cam.ac.uk/research/afha/anders/GHA.pdf
    23 Sep 2022: Thus, it requires a new mathematical framework that we initiate in this paper. ... 2/4j such that if we replace (x,y) with (x′,y′) then we obtain a new.
  37. This isa spec ific indiv idual’s copy of the ...

    www.damtp.cam.ac.uk/user/sjc1/teaching/NSTIB/Lent/notes.pdf
    30 Mar 2022: The good news for supervisors is that the sheets are the same as last year (and that they can haveaccess to the answers immediately, as indicated on the Moodle site).
  38. Stratified Sampling Based Compressed Sensing for Structured Signals

    www.damtp.cam.ac.uk/user/mjc249/pdfs/Stratified_Sampling_Based_Compressed_Sensing_for_Structured_Signals.pdf
    20 Jul 2022: 1. Resultsare demonstrated by means of two applications, namely electronmicroscopy (EM) and the relatively new field of structural healthmonitoring (SHM). ... Antun, M. J. Colbrook, and A. C. Hansen, “Proving existenceis not enough: Mathematical
  39. The difficulty of computing stable and accurate neural networks: On…

    www.damtp.cam.ac.uk/user/mjc249/pdfs/PNAS_Stable_Accurate_NN.pdf
    16 Mar 2022: Facebook and New York University’s 2019 FastMRIchallenge reported that networks that performed well in termsof standard image quality metrics were prone to false negatives,failing to reconstruct small, but physically
  40. fluids

    www.damtp.cam.ac.uk/user/tong/fluids/fluids2.pdf
    16 Sep 2022: appear. We can ask how this new term fares under the scaling symmetry (3.19). ... each of which scales as 3. Any new term that you try to construct scales away more.
  41. J. Fluid Mech. (2018), vol. 856, pp. 921–957. c© ...

    www.damtp.cam.ac.uk/user/mt599/papers/2018-jfm.pdf
    10 May 2022: to our continuum model (whatwe later call the ‘indirect chemotactic index’) and new phenomenology along withit.
  42. Preprint typeset in JHEP style - HYPER VERSION F́ısica ...

    www.damtp.cam.ac.uk/user/tong/statphys/fisest.pdf
    25 Aug 2022: Preprint typeset in JHEP style - HYPER VERSION. F́ısica Estad́ıstica. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences. Wilberforce Road,. Cambridge, CB3 OBA, UK.
  43. electro

    www.damtp.cam.ac.uk/user/tong/em/el6.pdf
    3 Dec 2022: Measures of Velocity. The other new feature of (!) is that it depends on the frequency!
  44. Order and information in the patterns of spinning magnetic…

    www.damtp.cam.ac.uk/user/lauga/papers/208.pdf
    29 Jan 2022: This perspective is similar to the maximum entropy principle advocated by Jaynes (41): The addition of new information changes the distribution of the ran-dom variable that embeds the information.
  45. electro

    www.damtp.cam.ac.uk/user/tong/em/el1.pdf
    3 Dec 2022: Lent Term, 2015. ElectromagnetismUniversity of Cambridge Mathematical Tripos. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences,. Wilberforce Road,. Cambridge, CB3 OBA, UK.
  46. An Experimental Investigation of the Circumstances Which Determine…

    www.damtp.cam.ac.uk/user/tong/fluids/Reynolds.pdf
    23 Mar 2022: We use information technology and tools to increase productivity and facilitate new formsof scholarship. ... In their practical aspect they relate to the law of resistance to the motion of water in pipes, which appears in a new form, the law for all

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