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Stochastic Voronoi Tessellations as Models forCellular Neighborhoods…
www.damtp.cam.ac.uk/user/gold/pdfs/Srinivasan_etal110324.pdf11 Mar 2024: 33, 958–972 (1962). [24] P. Rathie, On the volume distribution of the typi-cal Poisson–Delaunay cell, J. -
cosmo
www.damtp.cam.ac.uk/user/tong/cosmo/three.pdf26 Jun 2024: 1. ar v̇ = Ḣ. 1. arv̇. Take the gradient of (3.24) to get. ... 1.24). In such a situation, it would make little sense to talk about perturbations with. -
brum_mjc
www.damtp.cam.ac.uk/user/mjc249/talks/birmingham_mjc.pdf20 Sep 2023: Too little ortoo much arousal results inpoorer performance. 24. • Inf.-dim. ... Slide 23: Quadrature with trajectory data. Slide 24: Example: Verified modes. -
3. Introducing Riemannian Geometry We have yet to meet ...
www.damtp.cam.ac.uk/user/tong/gr/three.pdf31 May 2024: Claim:. d? F =? J , rµF µ = J (3.24). -
Multiflagellarity leads to the size-independent swimming speed of…
www.damtp.cam.ac.uk/user/lauga/papers/220.pdf2 Jan 2024: 1B), owing to the cell-to-cell variations inmetabolism and the number and morphology of flagella (24).Thanks to the large sample size of our experiments, we are able tomeasure the -
6. Black Holes Black holes are among the most ...
www.damtp.cam.ac.uk/user/tong/gr/six.pdf31 May 2024: 6. Black Holes. Black holes are among the most enigmatic objects in the universe. They are described. by deceptively simple solutions to the Einstein equations, yet hold a host of insights. and surprises, from the meaning of causal structure, to -
munich_talk_mjc
www.damtp.cam.ac.uk/user/mjc249/talks/rigged_DMD_munich.pdf10 Jun 2024: Slide 24: Spectral measures goes to diagonalisation. Slide 25: Spectral measures goes to dynamics. -
doi:
www.damtp.cam.ac.uk/user/drh39/2013_thixo.pdf1 Dec 2023: in figures 11 and 12. Figure 11 shows profiles of samples with different ageing timesTage on inclines of 20; figure 12 shows profiles on slightly steeper inclines of 24.As a -
Natural Sciences Tripos Part IA Mathematical Methods I — ...
www.damtp.cam.ac.uk/research/afha/lectures/NST_1A/nstIAm_Anders_Notes_2023.pdf3 Oct 2023: Scalar product properties:. 1. The scalar product is commutative,. a b = b a , (24). ... Using (25) and then (24) yields the useful result. (a b)2 = a2 b2 2a b. -
Taming Discretization Challenges for Nonlinear Eigenvalue Problems
www.damtp.cam.ac.uk/user/mjc249/talks/INI_NEP_mjc.pdf26 Jul 2023: Slide 23: InfBeyn algorithm. Slide 24: Stability and convergence result. Slide 25: Proof sketch. -
Rate invariance and scallop theorem in viscosity gradients
www.damtp.cam.ac.uk/user/lauga/papers/217.pdf24 Jul 2023: 106, 27 (2016).[24] L. Schwarz, M. Medina-Sánchez, and O. G. Schmidt, Hybrid biomicromotors, Appl. ... symmetry breaking, Phys. Fluids 24, 103102 (2012).[36] J. P. Binagia and E. -
Obstructed viscoplastic flow in a Hele-Shaw cell
www.damtp.cam.ac.uk/user/drh39/2020_masoud.pdf1 Dec 2023: not always) suppress any interaction [24]. ... 24] E. Chaparian, A. Wachs, and I. A. Frigaard, Inline motion and hydrodynamic interaction of 2D particlesin a viscoplastic fluid, Phys. -
Natural Sciences Tripos Part IB Michaelmas 2023 Professor Anders ...
www.damtp.cam.ac.uk/research/afha/lectures/NST_1A/nstIB_Anders_2023.pdf21 Nov 2023: af(t) dt. b. ag(t) dt , (24). »»»»»»»». b. af(t) dt. »»»»»»»». ... 24. Taylor series for analytic functions. Zeros, Poles and Essential Singularities. -
Flow-driven compaction of a fibrous porous medium
www.damtp.cam.ac.uk/user/drh39/2019_compact.pdf1 Dec 2023: Moreover, the onlyexisting models of freeness are semi-empirical and based on the average filter resistance of thecompacting pulp [22–24]. ... 24)The integral of Eq. (22) across the height of the solid also provides the global force balancecondition,. -
Biophysical Fluid Dynamics in a Petri Dish George T. ...
www.damtp.cam.ac.uk/user/gold/pdfs/petridish130224.pdf13 Feb 2024: Rotletflows arise from (d) the bacterium Escherichia coli under confinement, generating flow field in (e) [24], (f)a magnetic nano stir bar [25], and (g) a macroscopic stirrer [26]. ... 23 eqs. 29-30. Stokeslet Main text eq. 24 eqs. 32-34.Rotlet Appendix -
2. Introducing Di↵erential Geometry Gravity is geometry. To fully ...
www.damtp.cam.ac.uk/user/tong/gr/two.pdf31 May 2024: S T)µ1.µp1.r1.q1.s. = Sµ1.µp1.qT1.r. 1.s (2.24). Given an (r, s) tensor T , we can also construct a tensor of lower rank (r -
Preprint typeset in JHEP style - HYPER VERSION Michaelmas ...
www.damtp.cam.ac.uk/user/tong/gr/gr.pdf31 May 2024: should identify. g00(x) (1. 2Φ(x). c2. )(1.24). where Φ(x) is the Newtonian gravitational field. ... 1.24) but with a linear gravitational potential Φ of the kind that we would invoke for. -
S-D NLEVPs
www.damtp.cam.ac.uk/user/mjc249/talks/strathclyde_2023_NEP_mjc.pdf15 Jul 2023: 24] Colbrook, Matthew J. "Computing semigroups with error control." SIAM Journal on Numerical Analysis 60.1 (2022): 396-422. ... Slide 23: Example: Loaded string. Slide 24: Example: One-dimensional acoustic wave. -
NATIONAL LIFE STORIES AN ORAL HISTORY OF BRITISH SCIENCE ...
www.damtp.cam.ac.uk/user/mem/nls-transcript-mc-check-C1379-72-FINAL.pdf31 Mar 2024: Recording format : WAV 24 bit 48kHz. Total no. of tracks: 8 Mono/Stereo: Stereo. ... Do you remember anything else of teaching and learning there? Michael McIntyre Page 24. -
Publications: Refereed Journals Jing Gao & Arieh Iserles, "A …
www.damtp.cam.ac.uk/user/na/people/Arieh/Arieh_Iserles/Papers.html22 Feb 2024: Num. Anal. 24 (2004), 365–391. A. Iserles, "On the global error of discretization methods for highly-oscillatory ordinary differential equations'', BIT 42 (2002), 561–599. ... Comp. Maths 14 (2001), 1–24. A. Iserles, "On Cayley-transform methods -
susyqm
www.damtp.cam.ac.uk/user/tong/susy/susyqm2.pdf4 Oct 2023: straightforward:. xinst() = a tanh!( 1). 2. (2.24). The profile of the instanton is shown in Figure 5. ... It follows. from the fact that, as seen in the explicit instanton profile (2.24), the instantons come. -
ON THE EXISTENCE OF OPTIMAL MULTI-VALUED DECODERS AND THEIR ...
www.damtp.cam.ac.uk/research/afha/anders/Version0.pdf28 Nov 2023: An incomplete list of examples includes most types of computational imaging[2, 14, 25], matrix completion [28], parametric PDEs/system identification [1], phase retrieval [30, 46, 86],quantized sampling [24] etc. -
kintheory
www.damtp.cam.ac.uk/user/tong/kintheory/three.pdf16 Sep 2023: P(x, t;x0, t0) =. Z 1. 1d3x,0P(x, t;x0, t0) P(x0, t0;x0, t0) (3.24). ... Kolmogorov equation (3.24). P(x, t;x0, t0) =. Z 1. 1d3x,0P(x, t;x0, t0) P(x0, t0;x0, t0). -
clas
www.damtp.cam.ac.uk/user/tong/dynamics/two.pdf13 Sep 2023: defined as. 2xy = µ , x2 y2 = (2.24). The coordinates µ and are curvilinear and orthogonal (i.e. ... 24 –. Galilean group that we met in section 1.2. -
One-dimensional compression of a saturated elastoviscoplastic medium
www.damtp.cam.ac.uk/user/drh39/2022_elastoviscoplastic_compression.pdf1 Dec 2023: Nevertheless, in the dewatering of suspensions. 2469-990X/2022/7(5)/054303(24) 054303-1 2022 American Physical Society. ... More specifically, as a prescription for the stress in the solid phase,we employ a particular model formulated by Saramito [24] -
An algorithm for semigroups
www.damtp.cam.ac.uk/user/mjc249/talks/semigroups_FOX_final.pdf2 Jul 2023: Slide 21: How? Slide 22: How? Slide 23: How? Slide 24: Adaptive computation of z superscript base , open paren cap A. -
manuscript submitted to Journal of Geophysical Research: Planets…
www.damtp.cam.ac.uk/user/drh39/2020_lereun_enceladus.pdf1 Dec 2023: dJ. dz= 1, that is J(z) = z. (24). In the asymptotic regime of high Rayleigh number, we expect that the heat producedis carried away by advection only, apart from the ... z⟩ =269. 1/2 and ⟨zθ⟩ = θ from (23) and (24). -
Dr H. Fawzi Mathematical Tripos Part II: Michaelmas Term ...
www.damtp.cam.ac.uk/user/hf323/M23-II-NA/Lect11.pdf27 Oct 2023: Dr H. Fawzi. Mathematical Tripos Part II: Michaelmas Term 2023. Numerical Analysis – Lecture 11. 3 Spectral Methods. Finite difference schemes rest upon the replacement of derivatives by a linear combination of functionvalues. This leads to the -
Controlling Confined Collective Organization with Taxis
www.damtp.cam.ac.uk/user/lauga/papers/224.pdf21 Mar 2024: Pedley and J. Kessler, Annu. Rev. Fluid Mech. 24, 313(1992). [16] B. ... 24] A. Creppy, F. Plouraboué, O. Praud, X. Druart, S. Cazin, H.Yu, and P. -
Matthew Colbrook
www.damtp.cam.ac.uk/user/mjc249/Publications.html18 Jun 2024: 25. M. Colbrook, "On the computation of geometric features of spectra of linear operators on Hilbert spaces," Foundations of Computational Mathematics, 24, 723–804, 2024. ... 24. M. Colbrook, A. Hansen, "The foundations of spectral computations via the -
BMC_talk_mjc
www.damtp.cam.ac.uk/user/mjc249/talks/rigged_DMD_manchester.pdf18 Jun 2024: 𝑒𝑗 𝑒𝑗1. 𝑈 =. Back to the shift! . 24. 0 1. ... Slide 24: Back to the shift! Slide 25: Back to the shift! -
How do cicadas emerge together? Thermophysical aspects of their…
www.damtp.cam.ac.uk/user/gold/pdfs/cicadas.pdf1 Feb 2024: Collective behavior via communication [20] is foundin many contexts: bacterial quorum sensing [21], ant foraging[22–24], and bird flocking [25]. ... Acad. Sci. USA 110, 13769 (2013). [24] O. Feinerman, I. Pinkoviezky, A. -
4. Lattice Gauge Theory Quantum field theory is hard. ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/4lattice.pdf26 Jun 2024: 4.24). with @ = @t @x. The equations of motion tell us @ = @ = 0. ... moving fermion. The chiral symmetry of the action (4.24) means that the left- and right-handed. -
5. When Gravity is Weak The elegance of the ...
www.damtp.cam.ac.uk/user/tong/gr/five.pdf31 May 2024: 1 1. 2He. i!t. (5.24). where, as we mentioned previously, we should take the real part of the right-hand-side. ... S1(0)2 S2(0)2 = R2. The solutions (5.24) tell us how these geodesics evolve. -
8. Quantum Field Theory on the Plane In this ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/83d.pdf26 Jun 2024: group, means that the theory admits fluxes (8.24) and gauge transformations (8.25). ... a derivative of the Chern-Simons term (2.24). (It also arose in the same context when. -
PowerPoint Presentation
www.damtp.cam.ac.uk/user/pvl/u3ac_heidelberg_2023.pdf17 Aug 2023: Slide 19. Slide 20. Slide 21. Slide 22. Slide 23. Slide 24. -
Nick_retirement_conference
www.damtp.cam.ac.uk/user/mjc249/talks/Nick_NEP_mjc.pdf17 Aug 2023: Eval #Eval #. 24. Example: Ghost essential spectra. 𝑥. 𝜂(𝑥). truncated domain. ... Slide 24: Example: Instability. Slide 25: Example: Ghost essential spectra. Slide 26: Example: Ghost essential spectra. -
SCI-MUS-MATHS © World Scientific
www.damtp.cam.ac.uk/user/mem/papers/LHCE/lucidity-preface.html22 Sep 2023: For reading comfort I recommend zooming in, usually Ctrl+ or Ctrl-Shift+, or Cmnd+ on Mac. This web page previewsby Herbert E. Huppert FRS. Foreword. by Herbert E. Huppert FRS. Michael Edgeworth McIntyre FRS has written a book wide in its -
Vector CalculusUniversity of Cambridge Part IA Mathematical Tripos…
www.damtp.cam.ac.uk/user/tong/vc/vc1.pdf12 Jun 2024: 1.3.3 An Application: Work and Potential Energy 24. 1.3.4 A Subtlety 25. ... 24 –. We learn that a conservative force, one that can be written as (1.18), has a conserved. -
clas
www.damtp.cam.ac.uk/user/tong/dynamics/one.pdf13 Sep 2023: 2.4.1 Noether’s Theorem 24. 2.5 Applications 26. 2.5.1 Bead on a Rotating Hoop 26. ... kinetic energy,. T(t2)T(t1) =X. i. ZFexti dri. X. i 6=j. ZFij dri (1.24). -
Opto-fluidically multiplexed assembly and micro-robotics
www.damtp.cam.ac.uk/user/lauga/papers/223.pdf28 Feb 2024: With rapid implementation and advanced control,it might be feasible to position one particle every fewmicrometers, which is the typical length scale over whichthe flow fields exhibit significant decay22,24. ... eLight 1, 7 (2021). 24. Liao, W. et al. -
Swimming, Feeding, and Inversion of Multicellular Choanoflagellate…
www.damtp.cam.ac.uk/user/gold/pdfs/Cflexa.pdf18 Oct 2023: This feature of the raft arising as a geometricbyproduct of pentagonal defects evokes the concept of“spandrels” in evolutionary biology [24].For the case of two cells, each with two filaments, ... U.S.A. 111, 27 (2014). [24] S. J. Gould and R. C. -
CV: Matthew J. ColbrookEMAIL: m.colbrook@damtp.cam.ac.ukWEBSITE:…
www.damtp.cam.ac.uk/user/mjc249/pdfs/CV_MColbrook2024.pdf11 May 2024: 24. M.J. Colbrook, B. Roman, A.C. Hansen, How to compute spectra with error control, Physical Review Letters,2019.Cover highlight for issue.Prizes: Grade 1 Smith–Knight/Rayleigh–Knight -
J. Fluid Mech. (2017), vol. 829, pp. 89–111. c© ...
www.damtp.cam.ac.uk/user/drh39/2017_stability3d.pdf1 Dec 2023: brar. y of. Mus. ic, o. n 24. Oct. 201. 7 at. ... ic, o. n 24. Oct. 201. 7 at. 14:. 02:3. 6, s. -
6. Large N Non-Abelian gauge theories are hard. We ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/6n.pdf26 Jun 2024: The gluon exchange is now. 1N2. (6.24). but there are order N3 triplets of quarks, so again the total amplitude scales as N. ... 6N2. X. i 6=j 6=k. V3(xij, xjk). where xij = xi xj and the coecients in front of the potentials are taken from (6.23)and (6.24 -
cosmo
www.damtp.cam.ac.uk/user/tong/cosmo/one.pdf26 Jun 2024: Zrmax(t). 0. drp1 kr2/R2. = c a(t). Zt. 0. dt0. a(t0)(1.24). ... Indeed,. mathematically it could be that the integral on the left-hand side of (1.24) does not. -
The Architecture of Sponge Choanocyte Chambers MaximizesMechanical…
www.damtp.cam.ac.uk/user/gold/pdfs/sponges.pdf22 Feb 2024: 22].c Data from Ludeman et al. [24].d Data from Dahihande et al. ... 24]; Amphime-don queenslandica from Sogabe et al. [53]. indicates the hy-pothetical minimum diameter of E. -
Imperial_NLEVPs
www.damtp.cam.ac.uk/user/mjc249/talks/Imperial_NEP_mjc.pdf15 Jul 2023: Matthew Colbrook. University of Cambridge. 24/05/2023www.damtp.cam.ac.uk/user/mjc249/home.html. Joint work with. Alex Townsend. ... Slide 23. Slide 24: Example 4: Planar waveguide. Slide 25: Example 4: Planar waveguide. -
standardmodel
www.damtp.cam.ac.uk/user/tong/sm/standardmodel4.pdf26 Jun 2024: Tr T ART BR. =1. 2I(R)AB. (4.24). The Dynkin index is related to the quadratic Casimir C(R), which we previously defined. -
7. Quantum Field Theory on the Line In this ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/72d.pdf26 Jun 2024: 4i. 1 log. i. 2UV. iv2. (7.24). where, to reach the second line, we’ve Taylor expanded in /2UV. , ... 2. This is the same kind of integral that we met in (7.24) when solving the 2d CPN1.
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