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Diagonalising Infinite-Dimensional Operators 2mmComputing spectral…
www.damtp.cam.ac.uk/user/mjc249/talks/CommNLA_mjc26 Oct 2020: O(log. (1 )). |ρf (x0) µf (x0)| = O( log(1)) and need N 20/. ... 1.24:. 1.23:. 1.22:. 1.21:. 1.20:. 1.19:. 1.18:. 1.17:. 1.16:. 1.15:. 1.14:. -
Taming Discretization Challenges for Nonlinear Eigenvalue Problems
www.damtp.cam.ac.uk/user/mjc249/talks/INI_NEP_mjc.pdf26 Jul 2023: 1) Nonlinear linear. 9/20. Why is this so useful? (1) Nonlinear linear. ... 20/20. References[1] Colbrook, Matthew J., and Alex Townsend. "Avoiding discretization issues for nonlinear eigenvalue problems." arXiv preprint arXiv:2305.01691 (2023). -
Superstrings
www.damtp.cam.ac.uk/user/mbg15/superstrings/superstrings.html9 Mar 1999: As recently as 20 years ago the only successful quantum field theory was the quantum theory of electromagnetism I mentioned above, known as quantum electrodynamics, or QED. -
Chlamydomonas Swims with Two “Gears” in a Eukaryotic Version of…
www.damtp.cam.ac.uk/user/gold/pdfs/gears.pdf21 May 2023: A. Chandrasekaran et al., Nat. Biotechnol. 26, 107. (2008).20. V. Soundararajan et al., Nat. ... The dashed vertical line represents theintrinsic frequency difference observed in cell models (20). -
Residual Dynamic Mode Decomposition Rigorous data-driven computation…
www.damtp.cam.ac.uk/user/mjc249/talks/SIAM_ResDMD.pdf27 Sep 2022: 17. 20. 18. 20. 19. 20. 20. 20. 21. New Papers on“Koopman Operators”. ... 20/20. Additional slides…. 𝜆 = 0.9439 0.2458𝑖, error 0.0765 𝜆 = 0.8948 0.1065𝑖, error 0.1105. • -
Diagonalising Infinite-Dimensional Operators 2mmComputing spectral…
www.damtp.cam.ac.uk/user/mjc249/talks/ICOSAHOM_mjc214 Jul 2021: O(log. (1 )). |ρf (x0) µf (x0)| = O( log(1)) and need N 20/. ... 1.29:. 1.28:. 1.27:. 1.26:. 1.25:. 1.24:. 1.23:. 1.22:. 1.21:. 1.20:. 1.19:. -
doi:
www.damtp.cam.ac.uk/user/drh39/2013_thixo.pdf1 Dec 2023: The bentonite,shown in (b)–(d), is on a 20 slope and the ageing times Tage are indicated. ... 1.0. 0.5. 0. 2.0. 1.5. 1.0. 0.5. 0 10 20 30. -
J. Fluid Mech. (2022), vol. 936, A17, doi:10.1017/jfm.2022.48…
www.damtp.cam.ac.uk/user/drh39/2022_swim.pdf1 Dec 2023: 4. –4. 0. 4. –8. –4. 0. 4. 8. 0 10 20 30 40. ... 0 10 20 30 40 0 10 20 30 40 0 10 20 30 40. -
Anders Christian Hansen University of CambridgeDAMTPCambridge,…
www.damtp.cam.ac.uk/research/afha/anders/CV_Short.pdf16 Mar 2022: Professor of Mathematics (20% position)University of Oslo, Norway. Royal Society University Research FellowUniversity of Cambridge, UK. -
J. Fluid Mech. (2017), vol. 813, pp. 929–954. c© ...
www.damtp.cam.ac.uk/user/drh39/2017_viscobl.pdf1 Dec 2023: on. 08 Ja. n 20. 20 a. t 15:. 00:5. 1, s. ... n 20. 20 a. t 15:. 00:5. 1, s. ubje. ct to. -
Supplementary Material Optimal Design of Multi-Layer Fog Collectors…
www.damtp.cam.ac.uk/user/gold/pdfs/fog_supp.pdf2 Nov 2019: 0.2. 0.30.4. 0.20.3. 0.6. 0.2. 0.30.5. 0.20.3. 0.4. 0.4. operational solidity, s operational solidity, s operational solidity, s. ... Taylor and Davies319. state that the equation could be valid for k 4.20. -
www.damtp.cam.ac.uk/user/mem/papers/LHCE/dilnot-analysis-audit.txt
www.damtp.cam.ac.uk/user/mem/papers/LHCE/dilnot-analysis-audit.txt19 Oct 2013: Transcript of British Broadcasting Corporation's "Analysis" programme of 4 November 1999: ANALYSIS ROUGH COUNTING PRESENTER: ANDREW DILNOT PRODUCER: INGRID HASSLER EDITOR: MICHAEL BLASTLAND TRANSMISSION: 4 November '99 20.30 and -
J. Fluid Mech. (2020), vol. 882, A11. c© Cambridge ...
www.damtp.cam.ac.uk/user/drh39/2020_squirm.pdf1 Dec 2023: on. 08 Ja. n 20. 20 a. t 14:. 53:1. 8, s. ... n 20. 20 a. t 14:. 53:1. 8, s. ubje. ct to. -
3C10b.dvi
www.damtp.cam.ac.uk/user/examples/3C10b.pdf26 Feb 2017: 2/(2µ0) where (at very low pressure) 0 = 1.20 1022J is the. -
A3La.dvi
www.damtp.cam.ac.uk/user/examples/A3La.pdf21 Oct 2014: 4 19) (x3 x5)/. x. 12) x1 16) x1066 20) 2x(1x)2 [Hint: 2 x = 1 x 1]. ... 211 x. 11/2 20) ln(1 x) (1 x)1 21) 12 (3 x2)2. -
3N18c.dvi
www.damtp.cam.ac.uk/user/examples/3N18c.pdf1 Mar 2020: 2) Γs(N N), (20). where N represent the densities of the incoherent reservoirs of spin-up and spin-down excitons providing gainto the condensate through stimulated bosonic scattering, γC characterizes -
brum_mjc
www.damtp.cam.ac.uk/user/mjc249/talks/birmingham_mjc.pdf20 Sep 2023: 17. 20. 18. 20. 19. 20. 20. 20. 21. New Papers on“Koopman Operators”. ... 2 < 𝜀2. Measure of statistical coherency. 20. Sampler of the results we prove. -
Microscopics
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/1415Lecture5.pdf19 Oct 2014: Excluded-Volume Interactions. Excluded-Volume Interactions - continued. Excluded-Volume Interactions - continued. Geometry and Elasticity. More on Differential Geometry of Curves. The Persistence Length. A Simple Application to the Elastic Filament. -
Dr H. Fawzi Mathematical Tripos Part II: Michaelmas Term ...
www.damtp.cam.ac.uk/user/hf323/M23-II-NA/Lect11.pdf27 Oct 2023: 1.0 -0.5 0.5 1.00.2. 0.4. 0.6. 0.8. 1.0. 10 20 30 40N/2. -
Mathematical Tripos Part IB: Lent 2020 Numerical Analysis – ...
www.damtp.cam.ac.uk/user/hf323/L20-IB-NA/Lect06.pdf4 Feb 2020: L(f) = 12. 20. K(θ)f′′′(θ) dθ. with K(θ) = L(x 7 (xθ)2+). ... 2, 1 θ 2,0, else. One can verify that 20|K(θ)|dθ = 23. -
CV: Matthew J. ColbrookEMAIL: m.colbrook@damtp.cam.ac.ukWEBSITE:…
www.damtp.cam.ac.uk/user/mjc249/pdfs/CV_MColbrook2024.pdf11 May 2024: 20. M.J. Colbrook, Z.I. Botev, K. Kuritz, S. MacNamara, Kernel density estimation with linked boundary conditions,Studies in Applied Mathematics, 2020. -
On two‐phase modeling of dewatering pulp suspensions
www.damtp.cam.ac.uk/user/drh39/2021_pulp.pdf1 Dec 2023: 3 SBK (Resolute, Catawba)d 730 2.45 26.8. 4a HBK (Domtar)e 610 0.79 20.1. ... 19 BCTMP (Rayonier) 13 200 0.77 23.5. 20 BCTMP (Rayonier) 30 128 0.72 23.7. -
Residual Dynamic Mode Decomposition Rigorous data-driven computation…
www.damtp.cam.ac.uk/user/mjc249/talks/mpEDMD_talk.pdf18 Nov 2022: 17. 20. 18. 20. 19. 20. 20. 20. 21. New Papers on“Koopman Operators”. ... 𝑣𝑗: eigenvectors of 𝕂. 𝑉𝑁 = span 𝜓1,…,𝜓𝑁. Matching autocorrelations! 20/34. -
Action Principles
www.damtp.cam.ac.uk/user/examples/A11Lb.pdf29 Apr 2019: found it to be about 1014 J, equivalent to the. explosion of about 20 kilotons of TNT. -
Obstructed viscoplastic flow in a Hele-Shaw cell
www.damtp.cam.ac.uk/user/drh39/2020_masoud.pdf1 Dec 2023: 19].Carbopol was then pumped through the cell for approximately 20 minutes before flow visualizationcommenced. ... uniform slot with treated walls, combining optical coherence tomography (Thorlabs TEL1300V2-BU) with particle-tracking velocimetry [20,21]. -
Fluid Mechanics of Mosaic Ciliated Tissues
www.damtp.cam.ac.uk/user/gold/pdfs/mosaic.pdf2 Nov 2021: 20 -10 0 10 20-20 -10 0 10 200. 10. 20. ... 30. 40. 50. 0. 10. 20. 30. 40. 50(c) (d). isolated bundle. -
Halloween II
www.damtp.cam.ac.uk/user/mem/papers/LHCE/halloween2.html19 Oct 2013: 0.96. 40k. 1993. 20,000. 0.99. 100k. 1994. 100,000. 1.0. 170k. 1995. -
Strong Data Processing Inequalitiesvia Sums of Squares Oisı́n…
www.damtp.cam.ac.uk/user/hf323/sdpi-sos.pdf11 Jun 2022: the stronger statement that (9) will hold forlarge enough d, using recent results from convex algebraicgeometry [18]–[20]. ... Instead we use a result from a more recent line of work[18]–[20]. -
clas
www.damtp.cam.ac.uk/user/tong/dynamics/one.pdf13 Sep 2023: 2.3 Constraints and Generalised Coordinates 17. 2.3.1 Holonomic Constraints 18. 2.3.2 Non-Holonomic Constraints 20. ... This is given by,. Fij = Qvi Bj (1.20). where vi is the velocity of the ith particle and Bj is the magnetic. -
Koop_italy_mjc
www.damtp.cam.ac.uk/user/mjc249/talks/Koopman_workshop_mjc.pdf20 May 2024: University of Cambridge. 20/05/2024 • C., Townsend, “Rigorous data-driven computation of spectral properties of Koopman. ... Slide 20: Residual DMD. Slide 21: ResDMD: Avoiding the dangers. Slide 22: ResDMD: Avoiding the dangers. -
Computing semigroups and solutions of time-fractional PDEs with error …
www.damtp.cam.ac.uk/user/mjc249/talks/malaga_mjc4 Feb 2022: 0 10 20 30 40 5010. -15. 10-10. 10-5. 100. t. ... 40. -30. -20. -10. 10. 20. 30. 40. γ. δ@@R. Im(z). -
dynrel
www.damtp.cam.ac.uk/user/tong/relativity/one.pdf27 Jan 2024: 2.2.1 Central Forces 20. 2.2.2 Angular Momentum 21. 2.3 Gravity 22. -
J. Fluid Mech. (2018), vol. 855, pp. 1170–1207. c© ...
www.damtp.cam.ac.uk/user/drh39/2018_glacial.pdf1 Dec 2023: on. 08 Ja. n 20. 20 a. t 14:. 58:3. 9, s. ... 08 Ja. n 20. 20 a. t 14:. 58:3. 9, s. -
Nick_retirement_conference
www.damtp.cam.ac.uk/user/mjc249/talks/Nick_NEP_mjc.pdf17 Aug 2023: Stability bound. 20. Keldysh: 𝑇(𝑧)1 = 𝑉(𝑧 𝐽)1𝑊 𝑅(𝑧), let 𝑀 = sup𝑧Ω 𝑅(𝑧). ... Slide 19: InfBeyn algorithm. Slide 20: Stability and convergence result. Slide 21: Proof sketch (probably no time). -
PHYSICAL REVIEW E 93, 023116 (2016) Flow-induced compaction of ...
www.damtp.cam.ac.uk/user/drh39/2016_squishy.pdf1 Dec 2023: 0 20 40 60 80 100 120. 8. 10. 12. 0 20 40 60 80 100 1200. ... For the simple elastic rheologyconsidered in this paper, these functions are given by (20)and (21), respectively. -
Residual Dynamic Mode Decomposition Rigorous data-driven computation…
www.damtp.cam.ac.uk/user/mjc249/talks/INI_ResDMD.pdf9 Mar 2023: 17. 20. 18. 20. 19. 20. 20. 20. 21. New Papers on“Koopman Operators”. ... 12:. 13:. 14:. 15:. 16:. 17:. 18:. 19:. 20:. anm1:. pbs@ARFix@40:. -
Dewatering of fibre suspensions by pressure filtration
www.damtp.cam.ac.uk/user/drh39/2016_pulp.pdf1 Dec 2023: Wetherefore avoid this formalization, which mostly involves confirming that φ/t in (20) can beneglected in comparison to the other two terms. ... Allresults have n=3 and φ0=0.01. u = γDφζ/φ =1 for ζ = 0, the integral of (20) furnishes. -
J. Fluid Mech. (2018), vol. 856, pp. 870–897. c© ...
www.damtp.cam.ac.uk/user/drh39/2018_viscoslender.pdf1 Dec 2023: on. 08 Ja. n 20. 20 a. t 15:. 01:2. 8, s. ... n 20. 20 a. t 15:. 01:2. 8, s. ubje. ct to. -
Preprint typeset in JHEP style - HYPER VERSION Michaelmas ...
www.damtp.cam.ac.uk/user/tong/qft/qft.pdf20 Mar 2024: cm. Planck Scale. Energy. eV eVeV. ConstantCosmological. eV. Observable Universe. 20 billion light years. ... 20 –. 2. Free Fields. “The career of a young theoretical physicist consists of treating the harmonic. -
J. Fluid Mech. (2020), vol. 883, A37. c© Cambridge ...
www.damtp.cam.ac.uk/user/drh39/2020_layeredplume.pdf1 Dec 2023: on. 08 Ja. n 20. 20 a. t 14:. 51:0. 1, s. ... n 20. 20 a. t 14:. 51:0. 1, s. ubje. ct to. -
Diagonalising Infinite-Dimensional Operators 2mmComputing spectral…
www.damtp.cam.ac.uk/user/mjc249/talks/mjc_AustMS10 Dec 2020: O(log. (1 )). |ρf (x0) µf (x0)| = O( log(1)) and need N 20/. ... 18] Smale, S. (1998) “Mathematical problems for the next century.” The mathematical intelligencer, 20(2), 7-15. -
J. Fluid Mech. (2015), vol. 778, pp. 335–360. c© ...
www.damtp.cam.ac.uk/user/drh39/2015_porolayer.pdf1 Dec 2023: 0. 0. 5 10 15 20 25 30. 50 100 150 200 250. ... 0 100–100 200–200 300–300 400–400. 15. 20. 5. 0. 10. 15. -
Stochastic Voronoi Tessellations as Models forCellular Neighborhoods…
www.damtp.cam.ac.uk/user/gold/pdfs/Srinivasan_etal110324.pdf11 Mar 2024: 0. 20. 40. 60. 80. 100. 120. 140k. (f). β = 1, r = rβ. ... King, Multicellulardevelopment in a choanoflagellate, Curr. Biol. 20, R875–R876 (2010). [3] A. -
www.sciencemag.org/cgi/content/full/325/5939/487/DC1 Supporting…
www.damtp.cam.ac.uk/user/gold/pdfs/gears_SM.pdf21 May 2023: both cameras with custom Labview (National Instruments, Austin, TX) routines at 20 fps and. ... diffusion constant only 20% higher than the real mean. The real distribution of diffusivities. -
Topics in Convex Optimisation (Michaelmas 2018) Lecturer: Hamza Fawzi …
www.damtp.cam.ac.uk/user/hf323/M18-OPT/lecture13.pdf13 Nov 2018: Q =. . q00,00 q00,10 q00,01 q00,20 q00,11 q00,02q10,10 q10,01 q10,20 q10,11 q10,02. ... q01,01 q01,20 q01,11 q01,02q20,20 q20,11 q20,02. q11,11 q11,02q02,02. . (2). 2. -
PHYSICAL REVIEW FLUIDS 2, 074001 (2017) Imbibition with swelling: ...
www.damtp.cam.ac.uk/user/drh39/2017_suck.pdf1 Dec 2023: 5(a). In an attempt to collapse the data, Fig. 5(c) shows the penetration length against the scaleddimensionless time tk0Pc/µ, with Pc γ k1/20 [cf. ... 29.[19] P. LePoutre, Liquid absorption and coating porosity, Paper Technol. 19, 298 (1978).[20] R. -
Computing spectral measures anda programme on the foundations of ...
www.damtp.cam.ac.uk/user/mjc249/talks/spec_meas_IWOTA19 Aug 2021: O(log. (1 )). |ρf (x0) µf (x0)| = O( log(1)) and need N 20/. ... 1.29:. 1.28:. 1.27:. 1.26:. 1.25:. 1.24:. 1.23:. 1.22:. 1.21:. 1.20:. 1.19:. -
Supplemental Material:Stress-Induced Dinoflagellate Bioluminescence…
www.damtp.cam.ac.uk/user/gold/pdfs/lunula_SM.pdf6 Jul 2020: 3. 00.050.10.150.20.250.3. 01. 0.20 10.5. (b)(a). 1.2 21.60.40 0.8 -210 -110 010. ( ... c. 00.20.40.60.81. 0.50 0.1 0.2 0.3 0.40.40.60.8. FIG. S3: a) Plots of s,h, and I for τr = -
J. Fluid Mech. (2019), vol. 869, pp. 468–499. c© ...
www.damtp.cam.ac.uk/user/drh39/2019_JPlayers.pdf1 Dec 2023: y. y. x0.5 1.0 1.5 -30 -20 -10 0 10 20 30. ... ß = 1. ß = 0.5. 0. 0.20.40.60.81.0. 0. 1.21.4. 1.5. -
✿ ✳ ✳ ✿ ✳ ✳✹✹ ✹✹ ✿ ✳ ...
www.damtp.cam.ac.uk/user/mem/papers/LHCE/nothing.pdf7 Oct 2018: cresc. 1. 15. 20. 25. 30. ❲ ❲ ❲❲ ❲❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲. ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲. ❲❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲ ❲. ❲ ❲ ❲ ❲ ❲
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