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Multiflagellarity leads to the size-independent swimming speed of…
www.damtp.cam.ac.uk/user/lauga/papers/220.pdf2 Jan 2024: Alongside body size, the number and the morphology ofbacterial flagella also profoundly influence the swimming speed ofbacteria (20). ... 10. 20. 30. 40. 50. V (µ. m/s. ). L (µm)W L. -
6. Large N Non-Abelian gauge theories are hard. We ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/6n.pdf26 Jun 2024: compute correlation functoins. hJ1. Jpic N1p/2 (6.20). The first factor of N comes from the planar diagrams with a quark loop running. -
2. Introducing Di↵erential Geometry Gravity is geometry. To fully ...
www.damtp.cam.ac.uk/user/tong/gr/two.pdf31 May 2024: about an interesting person and having to spend the first 20 pages wading through. ... so, from (2.20),. the pull-back of a basis vector dxµ is. -
Quantum Mechanics David Tong Department of Applied Mathematics and ...
www.damtp.cam.ac.uk/user/tong/qm/qm.pdf26 Jun 2024: 2.1 The Free Particle 20. 2.1.1 A Particle on a Circle 22. ... 20 –. If we do interpret (2.6) as the energy of the particle, we should probably compare it. -
Dow nloa ded from http s://r oyal soci etyp ...
www.damtp.cam.ac.uk/user/lauga/papers/219.pdf2 Jan 2024: ublis. hing. org. / on. 20 J. uly. 2023. where p is the dynamic pressure. ... 3. 4. 5. h/R. upright floating. tilted swimming. 6 00.20.30.5. h. -
8. Quantum Field Theory on the Plane In this ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/83d.pdf26 Jun 2024: action from (8.19). Se =. Zd3x. g2. 82(@µ). 2 KeSmono cos(2) (8.20). ... our eective action (8.20). This means that the vacuum does not support a constant,. -
standardmodel
www.damtp.cam.ac.uk/user/tong/sm/standardmodel6.pdf31 May 2024: story for leptons? We decompose the left-handed leptons as (5.20). LiL=. ( ... i. L. (6.20). Each of these currents is diagonal in flavour, but this is before we do the rotation (6.9). -
2 A Quantum Particle in One Dimension There is ...
www.damtp.cam.ac.uk/user/tong/qm/qm2.pdf20 Apr 2024: 20 –. If we do interpret (2.6) as the energy of the particle, we should probably compare it. ... tem in Nature are described by the Hamiltonian (2.20). (There are exceptions. -
Matthew Colbrook
www.damtp.cam.ac.uk/user/mjc249/Publications.html18 Jun 2024: This allows us to compute the spectral measure associated with the dynamics of a protein molecule with a 20,046-dimensional state space and compute nonlinear Koopman modes with error bounds ... An IMA Leslie Fox Prize 2023. 20. M. Colbrook, L. Ayton, "A -
Vector CalculusUniversity of Cambridge Part IA Mathematical Tripos…
www.damtp.cam.ac.uk/user/tong/vc/vc1.pdf12 Jun 2024: fixed. – 20 –. For scalar fields (x, y, z) in R3, the gradient is.
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