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  2. 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,
  3. 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.
  4. 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
  5. 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.
  6. 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:.
  7. 4 Feb 2022: Q.2: Extends to PDEs (e.g., on unbounded domain L2(Rd )).New stable and rapidly convergent quadrature rule for analytic semigroups. ... algorithm. Q.2: Extends to PDEs (e.g., on unbounded domain L2(Rd )).New stable and rapidly convergent quadrature rule
  8. On the Barriers of Deep Learning, Approximate Sharpness, and…

    www.damtp.cam.ac.uk/user/mjc249/talks/OWOS_mjc
    21 Feb 2022: However, the algorithm needs prohibitively many samples. 19/38. Bad news - can’t necessarily approximate such a neural network. ... In contrast, we have applied the same algorithm, but now for the new NNs (FIRENETs) reported in thispaper.
  9. 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.
  10. Smale’s 18th Problem and the Barriers of Deep Learning-4mm

    www.damtp.cam.ac.uk/user/mjc249/talks/OWML_mjc
    11 May 2022: 4/40. Very strong confidence in deep learning. Geoffrey Hinton, The New Yorker, April 2017: “They should stop training radiologists now!”. ... In contrast, we have applied the same algorithm, but now for the new NNs (FIRENETs) reported in thispaper.
  11. 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.
  12. 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.
  13. 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.
  14. 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.
  15. 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.
  16. 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.
  17. 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.
  18. susy

    www.damtp.cam.ac.uk/user/tong/susy/susy4.pdf
    13 Jun 2022: singularities in the low-energy eective action signal the emergence of new, massless. ... ties whenever M1 ceases to exist. Again, these singularities correspond to new degrees.
  19. 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
  20. 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,.
  21. 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.

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