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Microbial mutualism at a distance: The role of geometry in diffusive…
www.damtp.cam.ac.uk/user/gold/pdfs/mutualism.pdf27 Feb 2018: Resource-explicit models of bacterial mutualismscompare well with experiments in which mutualists are wellmixed [5,6,23,24]. -
flm563.dvi
www.damtp.cam.ac.uk/user/mem/papers/RECOIL/remote-recoil.pdf19 Oct 2013: Another importantwave activity measure is given by the pseudomomentum vector,. p = kA =h′ u′. ... Because of the ray-invariance of absolute frequency we have that |kA| = |kB | asympto-tically. -
Selectively controlled magnetic microrobots withopposing helices
www.damtp.cam.ac.uk/user/lauga/papers/176.pdf6 Jul 2020: Cobalt yielded an intrinsic rema-nent magnetization of $ 500 kA/m. Other magnetic materials, such asparamagnetic iron oxide, could be utilized with a stronger magneticfield. ... Mater. 24, 811–816 (2012). 7H. Ceylan et al., “Mobile microrobots for -
Visualizing Protein-Nucleic Acid Interactions on a Large Scale with…
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/ufk_papers/AFM/rivetti.pdf13 Nov 2010: of the complexes (18, 85), probe local molecular conformations of DNA by use of specific anti- bodies (55), and follow protein-nucleic acid interactions in buffer (24). -
Single colloid electrophoresis
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/ufk_papers/electrokinetics/colloid-electrophoresis2.pdf4 Oct 2010: The effective charge of the particle is[1,2,24]. Zeff ef. kB T. ... Steinbock, G. Stober, U.F. Keyser, Biosens. Bioelectron. 24 (8) (2009) 2423.[24] John C. -
This isa super vis or’ sco py ofth enote ...
www.damtp.cam.ac.uk/user/sjc1/teaching/NSTIB/Michaelmas/notes.pdf28 Oct 2006: 1.7.13 Aide Memoire. 24. 2 Partial Differential Equations 25. 2.0 Why Study This? ... You should be able to do example sheets 1/2/3/4 after lectures 6/12/18/24 respectively. -
4. Lattice Gauge Theory Quantum field theory is hard. ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/4lattice.pdf26 Jun 2024: moving fermion. The chiral symmetry of the action (4.24) means that the left- and right-handed. ... E(k) =1. asin(ka). This gives a dispersion relation of the kind we anticipated above: it has zeros at both. -
Dynamics of filaments and membranes in a viscous fluid ...
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/FDSE/Powers10.pdf2 Sep 2012: T̂ = N̂. 24. The curvature is the rate of rotation of T̂ about B̂, and. ... Comparison of Eqs. 21–24 reveals that2 =1. 2 22 and 3 = , where is the angle between. -
MECHANICAL PROCESSES IN BIOCHEMISTRY Carlos Bustamante,1–3 Yann R.…
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/ufk_papers/optical_tweezers/bustamante2004.pdf30 Oct 2010: kA 3 B A. ‡. 2/meG. 0‡/kBT , kB 3 A B. ‡. ... the applied force, the loadingrate varies as the molecule is stretched and Equation 17 cannot be used directly(22, 24). -
GRAVITY WAVE GENERATION BY VORTICAL FLOWS IN A ROTATING ...
www.damtp.cam.ac.uk/user/mem/oldftp/rupert-ford-thesis93.pdf19 Oct 2013: GRAVITY WAVE GENERATION BY VORTICAL FLOWS. IN A ROTATING FRAME. Rupert Ford. Churchill College Cambridge. A dissertation sublnitted for the degree of Doctor of Philosophy. at the University of Cambridge. October, 1993. To my grandparents. Margaret -
The effect of particle interactions on dynamic light scattering from…
www.damtp.cam.ac.uk/user/hinch/publications/JFM167_131.pdf23 Jul 2009: 1 ) , ( 2. 2 ) ; and for the case ka 4 1 and a general form of P by Batchelor (1983). ... pO as r / a c o , (3.24). and P-D;Vp = ikD,.P on r = 2a. -
THE ROTARY MOTOR OF BACTERIAL FLAGELLA
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/ufk_papers/membrane_proteins/bergreview.pdf27 Nov 2011: Geneproduct. Function ormotor component. Size(kDa). Copies permotorb. Operonclassc. FlgA Assembly of P-ring 24 2. ... Elements of the stator must beanchored to this framework somewhere, or torque cannot be delivered to theflagellar filament (24). -
Zur Theorie der Flimmerbewegung (Dynamik, Nutzeffekt, Energiebilanz)
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/old_literature/Ludwig1930.pdf7 Apr 2017: k. , sin a 1 (24) = - t v " 1 , 3 0 9 " l o g n a t '. Soll W g l e i e h W sein, so f o l ... g t d u r c h G l e i c h s e t z e n v o n (23) u n d (24). -
justaqm
www.damtp.cam.ac.uk/user/tong/aqm/justthree.pdf7 Apr 2021: ai bj = 2 ij (3.24)? is sometimes referred to as the dual lattice. ... 91 –. The condition (3.24) can also be stated as the requirement that. -
Knuz3.dvi
www.damtp.cam.ac.uk/user/na/NA_papers/NA2008_07.pdf31 Jul 2008: 9.3.9]:. u0(t) = 1, u1(t) =3t 5t3. 24, u2(t) =. 81t2 462t4 385t61152. , ... 9.6.24]. Kν (νz) =1. 2. eνφ(v) dv, φ(v) = z cosh v v. -
Motility and phototaxis of Gonium, the simplest differentiated…
www.damtp.cam.ac.uk/user/gold/pdfs/Gonium_pre.pdf24 Feb 2020: Received 20 November 2019; revised manuscript received 5 February 2020; accepted 5 February 2020;published 24 February 2020). ... The 8 central flagella generate thrust while the 24 peripheralones are tilted by β 30 and generate both thrust and rotation. -
The millennial atmospheric lifetimeof anthropogenic CO2 David Archer…
www.damtp.cam.ac.uk/user/mem/archer-carbon-tail08.pdf30 Aug 2009: 2007) 24–26% 40%(Ridgwell and Hargreaves 2007) 34%(Montenegro et al. 2007) 52%. ... Kvenvolden KA (1988) Methane hydrate—a major reservoir of carbon in the shallow geosphere. -
3 The Harmonic Oscillator I now want to use ...
www.damtp.cam.ac.uk/user/dbs26/PQM/chap3.pdf18 Oct 2019: non-negative, because. n = nhn|ni = hn|N |ni = hn|A†A|ni = kA|nik2 0 (3.11). ... 24 –. appreciable, then, to reasonable accuracy, all the terms that contribute to (3.31) oscillate. -
GRAVITY WAVE GENERATION BY VORTICAL FLOWS IN A ROTATING ...
www.damtp.cam.ac.uk/user/mem/papers/SSREPLY/rupert-ford-thesis93.pdf19 Oct 2013: GRAVITY WAVE GENERATION BY VORTICAL FLOWS. IN A ROTATING FRAME. Rupert Ford. Churchill College Cambridge. A dissertation sublnitted for the degree of Doctor of Philosophy. at the University of Cambridge. October, 1993. To my grandparents. Margaret -
PII: 0378-4371(89)90400-7
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/lekkerkerker.pdf10 Apr 2011: 23). (24). H.N.W. Lekkerkerker I Curvature elasticity o f charged monolayers 325. ... 2 6 ) - ( 2 8 ) to order 1/(Ka) 2 the following expression for the surface potential:. -
Inverse ProblemsLecture notes, Michaelmas term 2019 University of…
www.damtp.cam.ac.uk/research/cia/files/teaching/Inverse_Problems_2019/LectureNotes2019.pdf1 May 2020: 24, Section 5.16]). Let X ′ X be a closed subspace. ... j=1. 〈f,yj〉Y2σ2j. < (2.11). is met. 24 CHAPTER 2. GENERALISED SOLUTIONS. -
Lecture Notes on Cosmological Soft Theorems Enrico Pajera aDepartment …
www.damtp.cam.ac.uk/user/ep551/notes_cosmo_soft_theorems.pdf16 Apr 2021: na=1. La〈O(k1)O(k2). O(kn)〉 = 0 , (1.1). where La = L(τa,τa, ka,ka) is some linear, possibly differential operator made of func-. ... Then (4.26) becomes[. 3(n 1) na=1. ka. ka. ]〈R(k1)R(k2). R(kn)〉′! = 0 , (4.38). -
Bayesian Inverse ProblemsLecture notes, Lent term 2019 University of…
www.damtp.cam.ac.uk/research/cia/files/teaching/Inverse_Problems_Lent_2018/19y_01m_16d_LectureNotes.pdf6 Nov 2019: The following theorem is of crucial importance for MCMC methods. Theorem 1.24. ... until j reaches thedesired sample size J. 24. Example 1.26. We want to sample from the two-dimensional distribution. -
Trapping and Wiggling: Elastohydrodynamics of Driven Microfilaments…
www.damtp.cam.ac.uk/user/gold/pdfs/trapping.pdf10 Apr 2011: 2 Ok5k1. 0ka!0# kk4. e2k4t (24). Evaluating the first few integrals, we find forh# k, h# k1. ... A 5zL4. tk1. 24 (54). whereas the rodlike treatment implies (from Eq. -
Preprint typeset in JHEP style - HYPER VERSION Lent ...
www.damtp.cam.ac.uk/user/tong/aqm/solidstate.pdf7 Apr 2021: qg = 2πn with n Z (1.24). This is the famous Dirac quantisation condition. ... qg = 2πn with n Z. This, of course, is the Dirac quantisation condition (1.24). -
1 /** 2 * @preserve Copyright (c) 2011~2014 Humu ...
www.damtp.cam.ac.uk/user/ms100/JAVA/jsc3d/docs/symbols/src/jsc3d.js.html19 Nov 2014: data[dest 3] = color >>> 24; 1422 src = (j & 1); 1423 dest = 4; 1424 } 1425 src = (i & 1)? ... 3] = color >>> 24; 1454 } 1455 break; 1456 } 1457 }; 1458 1459 / 1460 Render a new frame. -
Fluid flows created by swimming bacteria driveself-organization in…
www.damtp.cam.ac.uk/user/gold/pdfs/swimmers_flows.pdf14 Jul 2014: 22–24), corresponding to the case of flagella behind orin front of the cell body. ... J Phys Condens Matter 24(6):065101. 38. Peskin CS (2002) The immersed boundary method. -
IOP PUBLISHING CLASSICAL AND QUANTUM GRAVITY Class. Quantum Grav. ...
www.damtp.cam.ac.uk/user/md327/dunajski_hartnol.pdf17 Apr 2007: IOP PUBLISHING CLASSICAL AND QUANTUM GRAVITY. Class. Quantum Grav. 24 (2007) 1841–1862 doi:10.1088/0264-9381/24/7/010. ... An early example of this technique in gravityis the slow motion of Majumdar–Papepetrou black holes [24]. -
Structured light enables biomimetic swimming and versatile locomotion …
www.damtp.cam.ac.uk/user/lauga/papers/116.pdf24 May 2016: future. Soft Robot. 1, 5–11 (2013).24. Kim, S., Laschi, C. & Trimmer, B. ... Adv. Mater. 24, 2710–2714 (2012). 46. Zeng, H. et al. High-resolution 3D direct laser writing for liquid-crystallineelastomer microstructures. -
2 Hilbert Space The realm of Quantum Mechanics is ...
www.damtp.cam.ac.uk/user/dbs26/PQM/chap2.pdf8 Oct 2021: hx| i =Z. R (x0) hx|x0i dx0 = (x). (2.24). In other words, the position space wavefunctions we’re familiar with are nothing but the. ... kA| ik M k| ik for some fixed M > 0. -
Elastohydrodynamic synchronization of rotating bacterial flagella…
www.damtp.cam.ac.uk/user/mt599/papers/2022-prl.pdf10 May 2022: Niedermayer, B. Eckhardt, and P. Lenz, Chaos 18, 037128. (2008).[24] D. -
201019079 10940..10945
www.damtp.cam.ac.uk/user/gold/pdfs/noise.pdf6 Jul 2011: 1B), where η is the viscosity, and the distance betweenthe forces (24, 25). ... 38. Guasto JS, Johnson KA, Gollub JP (2010) Oscillatory flows induced by microorganismsswimming in two dimensions. -
PCE845.fm
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/FDSE/Pickard03.pdf2 Sep 2012: Kachar & Reese 1989; Lichtscheidl & Balu ka 2000).Nevertheless, ‘relatively little is known about the biogene-sis, dynamics, maintenance, and inheritance of the organelleitself’ (Powell & Latterich 2000). ... al. 1999); and (v) thatthe actin -
The Nonlinear Graviton as anIntegrable System � Maciej Dunajski ...
www.damtp.cam.ac.uk/user/md327/dunajski_thesis.pdf6 Nov 2014: In three dimensions the general solution of (2.24)-(2.25) depends on four arbi-. ... 3.16). 24. Note that R acts on δf without ambiguity (alternatively, the ambiguity in bound-. -
This isa spec ific indiv idual’s copy of the ...
www.damtp.cam.ac.uk/user/sjc1/teaching/PM/notes.pdf23 Aug 2023: 24. 3.6 Stokes Phenomena in the Complex Plane. 27. 3.6.1 Terminology. ... 0 Perturbation Methods (16 Lectures). 0.1 Introduction. • 24 lectures prised into 16. • -
Soft Swimming: Exploiting Deformable Interfaces for Low Reynolds…
www.damtp.cam.ac.uk/user/lauga/papers/21.pdf26 Jul 2013: 9500 Gillman Drive, La Jolla California 92093-0411, USA(Received 15 January 2008; published 24 July 2008). ... f 2= is an intrinsic viscocapillary length scale (theOhnesorge length), (b) L < ‘m, where ‘m 2=KA isthe intrinsic membrane-viscous length -
Lent Term, 2015 ElectromagnetismUniversity of Cambridge Mathematical…
www.damtp.cam.ac.uk/user/tong/em/electro.pdf27 Apr 2024: 2.2.3 General Charge Distributions 20. 2.2.4 Field Lines 23. 2.2.5 Electrostatic Equilibrium 24. -
electro
www.damtp.cam.ac.uk/user/tong/em/el6.pdf3 Dec 2022: Let’s return to Snell’s law (7.24) that tells us the angle of refraction,. ... of (at least) visible light, meaning ka 1. For this reason, we can. -
LECTURE NOTES FOR IIB PARTIAL DIFFERENTIALEQUATIONSM. S. JOSHI AND ...
www.damtp.cam.ac.uk/user/dmas2/public_ps/pdewj.pdf27 Oct 2010: k CkA BkeMjtt0j1M ka bkeMjtt0jwhere C is a constant depending only on A and a.Proof. ... deningfn(t) = ka bk CkA Bkj(t t0)j M Z tt0 fn1(s)ds: (2.6). -
Multiparticle superfields and superstring amplitudes
www.damtp.cam.ac.uk/research/hep/files/conferences/EurostringTalks/Mafra.pdf6 Feb 2019: C.R. Mafra (DAMTP) Non-linear SYM 25.03.2015 24 / 26. Simpler representation for the 3-loop k4f 4mn. -
Bacterial Hydrodynamics
www.damtp.cam.ac.uk/user/lauga/papers/114.pdf25 Feb 2016: FL48CH05-Lauga ARI 24 November 2015 12:50. Flagellum: organellecomprising the rotarymotor, hook, andfilament. ... sona. l use. onl. y. FL48CH05-Lauga ARI 24 November 2015 12:50. -
5dcft
www.damtp.cam.ac.uk/user/tong/talks/5dcft.pdf16 Apr 2020: verified through analysis of instanton zero modes [22],the superconformal index [23], and the Nekrasov partition function [24]. ... These can be constructed by acting with the supercharge Q on the superconformalprimary µia, yielding [22–24]. -
Field Theory in Cosmology (Part III) Enrico Pajer Contents ...
www.damtp.cam.ac.uk/user/ep551/field_theory_in_Cosmology.pdf15 Apr 2021: M2Plä. a= 1. 6(ρ 3p). (1.24). Second, by taking the time derivative of the Friedmann equation and using the continuityequation to get rid of ρ̇, we can find the ... ̇K = ä2K. ȧ3ä (ρ 3p) (1 3w) , (1.27). where in the second step I used the -
Field Theory in Cosmology: Example Sheet 1 1. For ...
www.damtp.cam.ac.uk/user/ep551/example_sheet_1_FT_in_Cosmo.pdf15 Apr 2021: φ(k1). φ(kn)〉 δ3D. (na=1. ka. ). (19). 7. For the metric. ... φ(k1). φ(kn)〉 = (2π)3δ3D. (na=1. ka. )Bn(k1,. ,kn). (34). must scale as.
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