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J. Fluid Mech. (2024), vol. 978, R1, doi:10.1017/jfm.2023.849…
www.damtp.cam.ac.uk/user/lauga/papers/222.pdf2 Jan 2024: Our findings shed new light on the question of energetics of microscale swimming.There is a long-standing argument in biophysics that the energetic cost of locomotionis negligible when compared with ... 2007 A frictionless microswimmer. New J. Phys. 9, -
6. Large N Non-Abelian gauge theories are hard. We ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/6n.pdf26 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. -
BMC_talk_mjc
www.damtp.cam.ac.uk/user/mjc249/talks/rigged_DMD_manchester.pdf18 Jun 2024: 20. 21. New Papers on“Koopman Operators”. number of papers. doubles every 5 yrs. -
3 The Formalism of Quantum Mechanics In the previous ...
www.damtp.cam.ac.uk/user/tong/qm/qm3.pdf26 Jun 2024: and gives you back a new function. Throughout these lectures we will dress any such. -
4 A Quantum Particle in Three Dimensions We will ...
www.damtp.cam.ac.uk/user/tong/qm/qm4.pdf26 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. -
DO STABLE NEURAL NETWORKS EXIST FOR CLASSIFICATION PROBLEMS? – ...
www.damtp.cam.ac.uk/research/afha/anders/stability_final_arxiv.pdf15 Jan 2024: A NEW VIEW ON STABILITY IN AI 13. and also ‖xzi‖p hpf̄ (x). ... A NEW VIEW ON STABILITY IN AI 15. 9. PROOF OF THEOREM 2.4. -
5. When Gravity is Weak The elegance of the ...
www.damtp.cam.ac.uk/user/tong/gr/five.pdf31 May 2024: Then do a gauge transformation (5.10). Your new gauge potential will satisfy. @ ... µhµ 12@h+ = f. So if you pick a gauge transformation µ that obeys µ = fµthen your new metric will be in de Donder gauge. -
2. Introducing Di↵erential Geometry Gravity is geometry. To fully ...
www.damtp.cam.ac.uk/user/tong/gr/two.pdf31 May 2024: However, we can build a new vector field by taking the commutator [X, Y ], which. ... We will. work with these operations frequently enough to justify introducing some new notation. -
Controlling Confined Collective Organization with Taxis
www.damtp.cam.ac.uk/user/lauga/papers/224.pdf21 Mar 2024: In turn, the directed motion of individualsdrives new collective dynamics, such as the well-knownbioconvection of gyrotactic or phototactic algae [3,6] orclustering instabilities [7]. ... athery@sas.upenn.edu†alexander.chamolly@pasteur.fr‡e.lauga@damt -
Preprint typeset in JHEP style - HYPER VERSION 2018 ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/1em.pdf26 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. -
2 A Quantum Particle in One Dimension There is ...
www.damtp.cam.ac.uk/user/tong/qm/qm2.pdf26 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. -
Koopman_turing_talk_mjc
www.damtp.cam.ac.uk/user/mjc249/talks/rigged_DMD_turing.pdf23 May 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”. -
Book Reviews | SIAM Review | Vol. 65, No. 4 | Society for Industrial…
www.damtp.cam.ac.uk/user/lauga/papers/BookReview_SIAM.pdf25 Jun 2024: Theoverall goal of the chapter is to explain how to build mechanistic models with differentlevels of complexity, using simple tools covered in Chapter 2 and new ones introducedhere, and to illustrate ... ping method to new horizons!The book is structured -
6. Black Holes Black holes are among the most ...
www.damtp.cam.ac.uk/user/tong/gr/six.pdf31 May 2024: our old coordinates, we’re instead going to find a new set of coordinates that works. ... everywhere. Our first step is to introduce a new radial coordinate, r?, defined by. -
Multiflagellarity leads to the size-independent swimming speed of…
www.damtp.cam.ac.uk/user/lauga/papers/220.pdf2 Jan 2024: 3C), they wouldexperience less viscous resistance from the already entrained fluid,because the projection of the velocity of the original flow to themoving direction of the new flagella is positive at ... the positions ofthe new flagella. -
Koop_italy_mjc
www.damtp.cam.ac.uk/user/mjc249/talks/Koopman_workshop_mjc.pdf20 May 2024: New program on foundations and classification for Koopman. 50. Summary: Infinities matter. • -
Selected references
www.damtp.cam.ac.uk/user/ms100/PAPERS/24 Apr 2024: Research Report 1978. M. Spivack, Two new algorithms for the pipe-break problem, Reading University Numerical Analysis Report, 1984. -
3. Introducing Riemannian Geometry We have yet to meet ...
www.damtp.cam.ac.uk/user/tong/gr/three.pdf31 May 2024: Z). = fR(!; X, Y, Z). Thus, both torsion and curvature define new tensors on our manifold. – ... change of coordinates to xµ(x̃) which does the trick. In the new coordinates,. -
cosmo
www.damtp.cam.ac.uk/user/tong/cosmo/two.pdf26 Jun 2024: the combined system will eventually settle down to a new equilibrium state at some. ... of the chemical potential. Now we can use the chemical potential for something new. -
Preprint typeset in JHEP style - HYPER VERSION Michaelmas ...
www.damtp.cam.ac.uk/user/tong/gr/one.pdf31 May 2024: generate. a new solution. • Reparameterisation invariance: We introduced as an arbitrary parameterisationof the path. ... Then we could equally as well construct an action S̃ using this new parameter,.
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