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The difficulty of computing stable and accurate neural networks: On…
www.damtp.cam.ac.uk/user/mjc249/pdfs/PNAS_Stable_Accurate_NN.pdf16 Mar 2022: 0.0000015 n = 10 106 K = 60.0000030 0.0000015 n = 20 106 K = 60.0000030 0.0000015 n = 30 106 K = 6. ... In allcases N = 20, m = N 1, and the xk,n s minimizing (P3) withinput data (yk,n, An) are all 6-sparse. -
electro
www.damtp.cam.ac.uk/user/tong/em/el1.pdf3 Dec 2022: E(z) =. 20(2.7). Note that the electric field is independent of the distance from the plane! ... G(r; r0) = 1. 4. 1. |r r0|(2.20). – 20 –. We can now apply our usual Green’s function methods to the general Poisson equation. -
susy
www.damtp.cam.ac.uk/user/tong/susy/susy2.pdf24 Jul 2022: 20 –. The latter of these is equivalent to the statement that P µ transforms as a 4-vector. ... factorise, as in (2.20), put restrictions on the kinds of interactions that are allowed,. -
Elastohydrodynamic synchronization of rotating bacterial flagella…
www.damtp.cam.ac.uk/user/mt599/papers/2022-prl.pdf10 May 2022: Kanso, Phys. Rev. Lett. 125, 148101 (2020).[20] H. Guo, Y. Man, K. ... the period of rotation, tstep = trot/20, where the intrinsic time scale for rotation trot = D33/T0 is estimated from theSBT resistance matrix of a single filament (derived by solving -
GENERALISED HARDNESS OF APPROXIMATION AND THE SCI HIERARCHY– ON ...
www.damtp.cam.ac.uk/research/afha/anders/GHA.pdf23 Sep 2022: The theory of the SCI hierarchy isnow comprehensive [13, 17–20, 38–40, 45, 56, 57, 69, 70, 87, 96, 97], where more details can be found in 3.Generalised hardness ... 19,20], in the work by M. Colbrook et al. [38,39] as well as in the work by O. -
fluids
www.damtp.cam.ac.uk/user/tong/fluids/fluids2.pdf16 Sep 2022: the physics of interest. What remains are the Stokes equations. rP = µr2u and r u = 0 (3.20). ... some of the details changed. To kick things o, we’ll look for the Green’s function to the equations (3.20). -
General Relativity
www.damtp.cam.ac.uk/user/hsr1000/part3_gr_lectures.pdf12 Oct 2022: 1.7 Tensors 16. 1.8 Tensor fields 20. 1.9 Integral curves 21. ... F. xµ. )φ(p). , (1.43). Part 3 GR October 12, 2022 20 H.S. -
J. Fluid Mech. (2018), vol. 856, pp. 921–957. c© ...
www.damtp.cam.ac.uk/user/mt599/papers/2018-jfm.pdf10 May 2022: Bl =3κ1R2sy2(l1)Ds. (σl1. 2l3. σl1. 2l1. ). (2.33). Since the first-order product problem (2.20) is the same as the first-order substrateproblem (2.19), except for a ... γ =. k=1. k(. (2k 1)!(2k 1)(2k 2)! )20.0336. (2.54). Our result for UJanus -
Stabilization of microbial communities by responsive phenotypic…
www.damtp.cam.ac.uk/user/gold/pdfs/switching.pdf19 Sep 2022: Data show-ing that sublethal antibiotic concentrations increase persisterconcentration [20] are also consistent with responsive contri-butions to the persistence switching rates. -
Preprint typeset in JHEP style - HYPER VERSION F́ısica ...
www.damtp.cam.ac.uk/user/tong/statphys/fisest.pdf25 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.
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