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Pure Maths fun crazy mathematical ideas? what good are they…
www.damtp.cam.ac.uk/user/or100/2019_NewnhamSummerSchool.pdf19 Apr 2021: The Chinese (c. 200 BCE), buying& selling, taxes. Diophantus (c. 200-c.284)solution to 4 = 4x 20 is ‘absurd’! -
Capillary-Induced Motion of Particles Bridging Interfaces of a…
www.damtp.cam.ac.uk/user/hinch/publications/PhysRevLett.122.098001.pdf25 Oct 2021: Received 4 July 2018; revised manuscript received 20 December 2018; published 5 March 2019). ... Leja, Trans. Faraday Soc. 50, 598. (1954).[20] D. E. Tambe and M. -
Direct measurement of unsteady microscale Stokes flow using optically …
www.damtp.cam.ac.uk/user/lauga/papers/194.pdf8 Jul 2021: 20. 3. ], (12a). B(r ) = 3α02ρ3. [3 3α0 α20 (3 3ρ ρ2 )eα0ρ. ], ... 20) and (22) can be written thescaling forms for the phase and amplitude,. -
1 From Spins to Fields‣ Statistical Field Theory by David Tong
www.damtp.cam.ac.uk/user/tong/sft/sfthtml/S1.html16 Oct 2021: χ. 1. |. T. -. T. c. |. (1.20). We’ll see the relevance of this shortly. ... T. c. from above or below. The magnetic susceptibility (1.20) varies as. -
2 Introducing Differential Geometry‣ General Relativity by David Tong
www.damtp.cam.ac.uk/user/tong/gr/grhtml/S2.html16 Oct 2021: M. to. N. and back again with impunity. Figure 20: To construct the Lie derivative, we use the push-forward. (. ... p. , we need to push with the inverse map. (. σ. -. t. ). This is shown Figure 20. -
Direct measurement of unsteady microscale Stokes flow using optically …
www.damtp.cam.ac.uk/user/gold/pdfs/unsteady.pdf27 May 2021: 20. 3. ], (12a). B(r ) = 3α02ρ3. [3 3α0 α20 (3 3ρ ρ2 )eα0ρ. ], ... 20) and (22) can be written thescaling forms for the phase and amplitude,. -
Purely viscous acoustic propulsion of bimetallic rods
www.damtp.cam.ac.uk/user/lauga/papers/202.pdf12 Sep 2021: Rods moving in the nodal plane(movie S2 [43]) were recorded for 5 s at 20 frames per second (FPS) (100 frames) and tracked usingMOSAICSUITE with CLIJ GPU acceleration [44,45] ... 20] B. Dai, J. Wang, Z. Xiong, X. Zhan, W. Dai, C. -
Front-back asymmetry controls the impact of viscoelasticity on…
www.damtp.cam.ac.uk/user/lauga/papers/191.pdf8 Jul 2021: experiments (from below 1 to above 20), a cleartrend is not apparent in the data. ... 12) with values ξs = 20 (solid line), 40 (dashed line), and 80(dash-dotted line). -
Non-linear Forchheimer corrections in acoustic scattering Matthew…
www.damtp.cam.ac.uk/user/mjc249/pdfs/AIAA_mjc_2021_b.pdf31 Jul 2021: Constant. 10-2. 10-1. 100. 101. 102. -50. -40. -30. -20. -10. ... 20. 25. 30. 35. 40. Case 2. surface roughness. 10-2. 10-1. -
Vol. 44 (2013) ACTA PHYSICA POLONICA B No 12 ...
www.damtp.cam.ac.uk/user/tong/talks/zakopane.pdf15 Apr 2021: In this notation, Ohm’s law reads. j(ω) = σ(ω) E(ω). (20). ... The definition (20) then tells us the conductivity:it is. σ(ω) =σ0. -
1 Geodesics in Spacetime‣ General Relativity by David Tong
www.damtp.cam.ac.uk/user/tong/gr/grhtml/S1.html16 Oct 2021: Rediscovering Electromagnetism. Rather than jumping straight into the reparameterisation invariant action (1.14), we instead start by modifying the action (1.20). ... This time we consider the generalisation of (1.20) given by the action. -
Discrete Polynomial Optimization with Coherent Networks of…
www.damtp.cam.ac.uk/user/ngb23/publications/SuppInfPolynomial.pdf8 Jan 2021: 3.2. Large-scale simulations. We adapt the idea of the complex couplings switching for the large scale simulations and illustrate the benefitsof such approach on 20 dense and 20 sparse -
justaqm
www.damtp.cam.ac.uk/user/tong/aqm/justtwo.pdf7 Apr 2021: 1.0 -0.5 0.0 0.5 1.0. 0.0. 0.5. 1.0. 1.5. Figure 20:. -
Oldroyd B, and not A? John Hincha, Oliver Harlenb,∗ ...
www.damtp.cam.ac.uk/user/hinch/publications/Oldroyd12b.pdf25 Oct 2021: 20] showed that spheroids (ellipsoids with an axis of symmetry) rotate in a. ... σ = pI µ(u uT ) GfA, (19)5A=. 1. τ(fA I) , (20). -
Rechargeable self-assembled droplet microswimmers driven by surface…
www.damtp.cam.ac.uk/user/lauga/papers/198.pdf10 Sep 2021: Scale bars, 20 μm. NaTuRE PhySiCS | VOL 17 | SEPTEMBER 2021 | 1050–1055 | www.nature.com/naturephysics1052. ... 90. 80. 700 0. 0. 80. 60. 40. 20. 100 100 150 20050200 300 400. -
Modelling chordwise-varying porosity to reduceaerofoil-turbulence…
www.damtp.cam.ac.uk/user/mjc249/pdfs/AIAA_mjc_2021_a.pdf31 Jul 2021: 100. 101. -60. -50. -40. -30. -20. -10. 0. Fig. 5 Effect of varying 𝛼𝐿 on trailing-edge noise over a range of frequencies. ... 906, 2021. [20] Graham,R.R., “The silent flight of owls,” Aeronaut. J, Vol. -
3 Structure Formation‣ Cosmology by David Tong
www.damtp.cam.ac.uk/user/tong/cosmo/cosmohtml/S3.html18 Oct 2021: 3 Structure Formation. 3 Structure Formation. Until now, we have discussed a universe which is perfectly homogeneous and isotropic. But that is not the universe we live in. Instead, our universe contains interesting objects which clump together, -
Cilia density and flow velocity affect alignment of motile cilia from …
www.damtp.cam.ac.uk/user/lauga/papers/184.pdf17 Jan 2021: w (x). X. Transwell chipchannel (top view). Fluid flow –0.55 10 15 20. ... For each tapered channel (Transwell chip), we acquired 20–25 fields of view (FOVs). -
pub.dvi
www.damtp.cam.ac.uk/user/bca20/restricted/toPhds/pub.pdf6 Jan 2021: J. C51 (2007) 421, hep-ph/0609216. 20. B. C. Allanach, M. A. -
Hydrodynamics and direction change of tumbling bacteria
www.damtp.cam.ac.uk/user/lauga/papers/199.pdf20 Jul 2021: PLOS ONE. PLOS ONE | https://doi.org/10.1371/journal.pone.0254551 July 20, 2021 1 / 26. ... PLOS ONE | https://doi.org/10.1371/journal.pone.0254551 July 20, 2021 9 / 26.
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