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  2. Particle dynamics in a non-flaring solar active region

    www.damtp.cam.ac.uk/user/astro/cl7/talks/P1_4.pdf
    22 Jul 2015: 30. -80. -30. So. lar-. Y [. arc. se. c]. a ). 100 150 200 250. Sola r-X [ar csec]. b). S L1. ... ddt(γv‖). = γuE d bdt. scle tscl E‖µrγ. Bs,. Ṙ = uE b.
  3. Page 1 of 10 DAMTP GKB Laboratory Biological Risk ...

    www.damtp.cam.ac.uk/research/lab/safety/2019/BioRA5-2019.pdf
    23 Sep 2019: For some work, you. may also need to complete Part B of this form. ... b) Are the animals parasitic, venomous or produce an allergic response in humans?
  4. 27 Apr 2024: magnetic fields through the Lorentz force law,. F = q(E ṙ B) (1.2). ... field causes a particle to move in circles in the plane perpendicular to B.
  5. standardmodel

    www.damtp.cam.ac.uk/user/tong/sm/standardmodel2.pdf
    26 Jun 2024: eigenvector (T A0)b actually vanishes. Indeed, this is clearly the case if 0 = 0. ... Each of these generators gives a unique eigenstate (R)b, and hence a massless mode.
  6. Supplementary Material:Stochastic Voronoi Tessellations as Models for …

    www.damtp.cam.ac.uk/user/gold/pdfs/Srinivasan_etal_SM110324.pdf
    11 Mar 2024: Then, by inspection of (S44) and scaling laws for r.v.s, Li is the beta random variable A|C = cZi;b,b(n1)with C = c now the fixed ... 1(c). Since Zi;b,b(n1) can be expressed as the fraction Yi;b,λ/n. j=1 Yj;b,λ I.5, this allows us to compute the
  7. 13 Dec 2018: z-h(xr)] 2 B. where. X -- X X -- X --2h'(xr)[z-h(x•)],. ... 17), and B = B(x,z,x• ) as in (15). C. Numerical treatment of equations.
  8. Microstructural studies for rheology ◮ Micro & macro views ...

    www.damtp.cam.ac.uk/user/hinch/teaching/nnfm/part7bhandout.pdf
    19 Aug 2013: Rotation of particles – rigid and dilute. Spheroid: axes a, b, b, aspect ratio r = ab. ... Averaged stress. σ = pI 2µE 2µφ[AE : 〈pppp〉. B(E 〈pp〉 〈pp〉E) CE FDrot〈pp〉].
  9. IserlesNorsett3.dvi

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2005_02.pdf
    17 Feb 2005: mf (b, b). xkymk. ei(bκ1aκ2) mf (b, a). xkymk+ ei(aκ1aκ2). mf (a, a). ... s 1, k = 1, 2, 3, 4,. wherev1 = (b, b), v2 = (b, a), v3 = (a, a), v4 = (a, b).
  10. Orientational order in concentrated suspensions of…

    www.damtp.cam.ac.uk/user/lauga/papers/61.pdf
    26 Jul 2013: 3(b) denoting the 1=. ffiffiffiffiN. pisotropy. that is expected in our system. ... The case shown is for a puller swimmer (b 1) witha volume fraction / 0.01.
  11. 2 Nov 2007: B. Ë9ß | ß Î i 2 B B Ë9ß | ß Î i Ë Ä %Î. ... Ë Ë Î Î yñ£,i¤CnyuRJ£¢ÝÄÛy1ªURÉh6%c% DDyi¢n¤CO¢ü =1ýcn£ Ac6i¤Cn%Ð6%yЪu¤y¢yf¤R iñ¤¢µ¤R9¤%¢£%¥¤R. iDyi¢ËØÄ yÎ Ë B B Î B Ë Î (. B B. B 6.¢,6%¢iA£
  12. Transition to bound states for bacteria swimming near surfaces

    www.damtp.cam.ac.uk/user/lauga/papers/169.pdf
    5 Nov 2019: 1] H. N. Schulz and B. B. Jørgensen, Big bacteria, Annu. ... G. Ferdelman, M. H. Mariné,A. Teske, and B. B. Jørgensen, Dense populations of a giantsulfur bacterium in Namibian shelf sediments, Science 284, 493(1999).
  13. Linear stability of free shear flow of viscoelastic liquids

    www.damtp.cam.ac.uk/user/hinch/publications/JFM268_64.pdf
    21 Jul 2009: Let b,, = b:, E and b,, = b,, e2, then. ... py/e K u Ge(b,,, b:,) K E V , , -py/e, 24, v, = 0,.
  14. Computational Projects Lecture 3: Numbers and numerical errors…

    www.damtp.cam.ac.uk/user/rlj22/catam/L3-errors-upd.pdf
    4 May 2023: 37.51 = 3751 102. Eg, for positive numbers, take A1  a  A2 and Bb < B+. ... A pA2 b. =b. A pA2 b. We can estimate this as bAC , which reduces the relative error.<latexit
  15. 1 Generalized sampling, infinite-dimensionalcompressed sensing, and…

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2011_13.pdf
    22 Nov 2011: In other words, we wish to recover f L2(b,b) from pointwise samples of its Fourier transform. ... Ff(t) =. (b,b)f(x)e2πitx dx, t R. Specifically, we shall be interested in reconstructions from theequispaced samples.
  16. 16 Jul 2018: U,. (5)b. b i. N. i i1. f. ω ϒ. . ... Rev. Fluid Mech. 48, 105–130 (2016). 19. Keller, J. B. & Rubinow, S.
  17. 10 Apr 2011: F = qE qc. pm. B (B)m. (6)We now introduce into (4) and (5) the following representation for f1,. ... iη. t= 1. 2m. (iη e. cA. )2 e eη. 2mcσ̂ B, (38).
  18. PHYSICAL REVIEW FLUIDS 2, 084101 (2017) Analytical solutions to ...

    www.damtp.cam.ac.uk/user/lauga/papers/139.pdf
    7 Nov 2017: on the ribbon surface in orders of b b/ 1 and a a/ 1 [35]. ... This derivation generates an integral equation,valid to O(b), with the form.
  19. This isa spec ific indiv idual’s copy of the ...

    www.damtp.cam.ac.uk/user/sjc1/teaching/VandM/notes.pdf
    6 Nov 2016: A. A.3 Basic Maps. B. A.4 The General Möbius Map. C. ... ii) A complex number 0 i.b is said to be pure imaginary.
  20. REDUCED CONSISTENCY SAMPLING IN HILBERT SPACES Ben Adcock1, Anders ...

    www.damtp.cam.ac.uk/research/afha/anders/AdcockHansenSampTA.pdf
    5 Oct 2013: Toquantify this, we consider the condition number κ(B) =‖B‖‖B1‖. The following lemma is also found in [2]:. ... Technical reportNA2010/07, DAMTP, University of Cambridge, 2010. [2] B. Adcock and A.
  21. Paper1.dvi

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2005_01.pdf
    29 Jan 2005: an R2n2. Proposition 6 The following is true:. B>B C>C = I, (4.3). ... a>p aq = [ b>p c. >p ]. [. bqcq. ]. = (b>p bq c>p cq) = (B. >B C>C)p,q = δp,q.
  22. 21 Oct 2019: 3.28). Assuming (2.54) we may then require. Γ̄A = B ΓA†B , B =(. 0 11 0. ). (3.29). For d = 2n 1 we have ΓA ΓB ΓB ΓA = 2 ηAB ... ΓA = B ΓA†B , B = B† = B1 =(. 0 ββ 0. ). (3.30). For conformal transformations as in (3.4) when d = 2n.
  23. 10 Apr 2011: $&' &( ) ,-/.01324/56378/9:;%<=?>A@B CEDFHGJIKLMNPORQTSUSWVYXZ[]%_Aa/bcAdefAggAhiAjkl/mnAop/qrs%tuAuWvw x%yzY{|}JP W WW P ¡¢£¤ ¥«ªHµº º» ¿ÀRÁÂÃÃÅÄÆÇÄ ÈÉËÊÌ?ÍÎ ÏÑÐÅÒÒÓ Ô. ... $#&%' (),-. /0123456798 :<; =?> @&ACB?D EEF
  24. Discrete Polynomial Optimization with Coherent Networks of…

    www.damtp.cam.ac.uk/user/ngb23/publications/SuppInfPolynomial.pdf
    8 Jan 2021: Clearly the switching protocol b)b)c) bringsall trajectories to the global minimum. ... Hubbard model,” Phys. Rev. B 99, 094301 (2019)[7] D. Witthaut and M.
  25. 17 Jan 2021: erna. l flo. wu. b||. b||0. T. y=cos (θ). x. Telθ. ... B) The alignment parameter Φ for various cilia density ρ and spring stiffness k.
  26. The Quantum Hall Effect Trinity Mathematical Society, October 2016 ...

    www.damtp.cam.ac.uk/user/tong/talks/quantumhall.pdf
    11 Oct 2016: 8. µAµ@A. x =v! cos!t. y = v! sin!t. mẍ = eẋ B! ... 1! B! B 1! (1.8). The o-diagonal components of the resistivity tensor, xy =! B/DC, have a couple. of rather nice properties. First, they are independent of the scattering
  27. 3 Jul 2008: φν (φν B)) (B φν Bφν) (60)where. J νi = φν iφν κνφνi j j uν (61)uν = ( jφν σ). ... η (φ φ (φ φ)) η((φ (φ B)) (B φ Bφ)) = 0.
  28. Instabilities of a thin coating on a vertical fibre; Newtonian,…

    www.damtp.cam.ac.uk/user/hinch/talks/Leeds2015.pdf
    10 Oct 2015: h(θ,t) at t = 2n n = 2,. , 11, for B = 0.5. ... L. B. B. 34. Symmetry breaking instability with elastic liquidsStructure of steady states.
  29. Cop yrig ht © 202 3 U nive rsity ...

    www.damtp.cam.ac.uk/user/examples/3P2a.pdf
    10 Oct 2023: a) Write the group multiplication table for D4. (b) What are the subgroups of D4? ... t(A B) t2. 2[A, B]. t3. 12{[A, [A, B]] [B, [B, A]]}. ).
  30. vtalk.dvi

    www.damtp.cam.ac.uk/user/tong/talks/vsvs.pdf
    29 Nov 2004: B B B ( )( ( )1 0 11)0 1. Figure 2: A magnetic monopole emitting two flux tubes. ... Phys. B 492, 152 (1997) [arXiv:hep-. th/9611230].[15] A. Hanany and K.
  31. A Light‐Driven Microgel Rotor

    www.damtp.cam.ac.uk/user/lauga/papers/168.pdf
    14 Nov 2019: 8. 2n. b. b. r. h rζ πµ=. (5). where h is the separation between the two walls. ... Vansuch, Z. Liu, K. Salaita, R. B. Dyer, ACS Nano 2019, 13, 515.
  32. A1La.dvi

    www.damtp.cam.ac.uk/user/examples/A1La.pdf
    25 Jan 2007: Geometrical argument for a (b c) = a b a c.Consider (|a|1a)b = b′′. ... b’. ba. b’. θ. b’’. b’’ is the result of rotating the.
  33. PII: 0377-0257(94)80023-5

    www.damtp.cam.ac.uk/user/hinch/publications/JNNFM54_209.pdf
    13 Jul 2009: where b, = b,/b. ... a tridiagonal matrix for the tensions. T,&,. b, -2T,b, b, T,_,&_, 6,.
  34. Shape-shifting polyhedral droplets

    www.damtp.cam.ac.uk/user/gold/pdfs/polyhedral.pdf
    17 Sep 2019: intermediate range,B < B < B+, in which the platonic icosahedron flattens intoan octahedron [Fig. ... 10(b)]. If B > B+, the threefaces adjacent to the top face flatten into its plane [Fig.
  35. PowerPoint Presentation

    www.damtp.cam.ac.uk/user/astro/conference_web/talks/Petkaki_Mason2010.pdf
    22 Nov 2010: B. J. JE. E. B. B. J. JE. E. Uin. Uoutz. ... The B = 0 in the current sheet, but curl B = µ0c2J.• Second-Order Splitting Upwind Method (Petkaki, 2005).
  36. D26e.dvi

    www.damtp.cam.ac.uk/user/examples/D26e.pdf
    28 Sep 2015: lation point] (b) Invariant under f [Obvious from definition] (c) Closed [think about not being. ... a) ẋ = x2, ẏ = y [Saddle-node], (b)ẋ = x3, ẏ = y [Nonlinear Saddle].
  37. 16 Jun 2022: a) Derive the classical equation of motion F = mx = e(E ˙x B). ... Let’s couplethe spin to an constant external magnetic field B by taking.
  38. 16 Oct 2021: a. ,. b. ). , with. a. <. b. 𝐑. ,
  39. 3A7c.dvi

    www.damtp.cam.ac.uk/user/examples/3A7c.pdf
    7 Mar 2023: B. t+ u B = B u η2B. Supposing that the velocity retains purely the form of a linear shear flow, u = Sxey,show that the induction equation has solutions in the ... Verify that B B = 0 for this solution, and confirm that the magnetic field has
  40. kink.dvi

    www.damtp.cam.ac.uk/user/tong/tasi/kink.pdf
    30 Sep 2005: Ξ = {ξ(a) : ξ(a) 6= ξ(b) for a 6= b} (4.3). ... look like figure 7. B B B ( )( ( )1 0 11)0 1.
  41. Preprint typeset in JHEP style - PAPER VERSION June ...

    www.damtp.cam.ac.uk/user/tong/tasi/tasi.pdf
    31 May 2024: Preprint typeset in JHEP style - PAPER VERSION June 2005. TASI Lectures on SolitonsInstantons, Monopoles, Vortices and Kinks. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences,. Wilberforce Road,
  42. 18 Oct 2021: A. and. B. then the order matters. Typically. A. B. is not the same as. ... Clearly. [. A. ,. B. ]. =. -. [. B. ,. A. ]. and the same also holds for operators:. [. O. ,.
  43. Preprint typeset in JHEP style - HYPER VERSION 2018 ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/gt.pdf
    26 Jun 2024: insists that they can’t exist. This is the Maxwell equation. B = 0. ... Bi2Te3. – 11 –. θ=π. θ=0. B. B E. θ=π. θ=0.
  44. 27 Feb 2020: B. t+ u B = B u η2B. Supposing that the velocity retains purely the form of a linear shear flow, u = Sx ey,show that the induction equation has solutions in ... Verify that B B = 0 for this solution, and confirm that the magnetic field has noinfluence
  45. IserlesNorsett2.dvi

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2004_05.pdf
    17 Jun 2004: be ν 2 prescribed nodes in the interval [a, b]. Having chosen multiplicities. ... b. ml2 c,. cν = b : b γ. ωk, k = 0, 1,. ,
  46. Vector Calculus: Example Sheet 2 David Tong, January 2024 ...

    www.damtp.cam.ac.uk/user/tong/vc/vfc2.pdf
    9 Jan 2024: f(x) = constant. Show that B (B) = 0. The tangent vector at each point on a curve is parallel to a non-vanishing vector. ... U =1. 2. (ε0|E|2. 1. µ0|B|2. ), P =. 1. µ0EB.
  47. 1 From Spins to Fields‣ Statistical Field Theory by David Tong

    www.damtp.cam.ac.uk/user/tong/sft/sfthtml/S1.html
    16 Oct 2021: B. that we impose on the system. It has the effect that, for. ... B. >. 0. ,. m. 1. at low temperatures where the spins are ordered, and.
  48. 30 Jan 2009: Use theBaker-Campbell-Hausdorff formula for exp C = exp A exp B in the form C = A B 12 [A, B] 112 ([A, [A, B]] [B, [B, A]]). ... cr. bs= λsa(b) µar(c) , µar(c) =. baϕr(c, b). b=0. , µar(c)λr b(c) = δab.
  49. Last time I Accuracy – first- and second-order I ...

    www.damtp.cam.ac.uk/user/hinch/teaching/GIANHandouts/L15Hyper2.pdf
    4 Feb 2018: Minmod(a, b) =. 0 if ab < 0. a if ab > 0 and |a| < |b|b if ab > 0 and |b| < |a|. ... a if ab > 0 and(|a| < 12|b| or |b| < |a| < 2|b|. ),.
  50. 12 Jun 2024: ferentiation, in the sense that. Zb. a. dxdf. dx= f(b) f(a). ... equation tells us that. µ0I =. Z. C. B dx =. Z 2. 0. d b() =) B(x) =µ0I. 2( sin , cos , 0).
  51. Examples Sheet 1, NST IA Mathematics - Course A ...

    www.damtp.cam.ac.uk/research/afha/lectures/NST_1A/Examples1_2023.pdf
    3 Oct 2023: Show thatboth equations found in parts (a) and (b) give the same answer. ... Add to this diagram the non-orthogonalbasis set represented by a and b.

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