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  2. 4.6 Monodromy: the reason for the logarithmic term in ...

    www.damtp.cam.ac.uk/user/bg268/Monodromy%20-%20need%20in%20log%20term.pdf
    11 Mar 2020: 4.6 Monodromy: the reason for the logarithmic term in the solution. Recall that forw′′ p(z)w′ q(z)w = 0, (1). in the vicinity of a RSP at z = 0 (WLOG - other points obtained by translation),there exist two linearly independent solutions of (1),
  3. Gauge/Gravity Duality Mathematical Tripos, Part IIIAron C. Wall…

    www.damtp.cam.ac.uk/user/aw846/AdSCFT/GGexamples_1.pdf
    1 May 2020: 23). ds2 = dT 2 cos(T)2[dr2 sinh(r)2d2D2. ]; (24). 5. ... Note that (24) looks like a recollapsing FLRW cosmology with k = 1 (negativecurvature), but the apparent ‘Big Bang’ and ‘Big Crunch’ singularities areactually just coordinate artifacts.
  4. Dr A. Hansen Mathematical Tripos Part II: Michaelmas Term ...

    www.damtp.cam.ac.uk/research/afha/lectures/Part_II_NumAn/b12.pdf
    26 Oct 2020: 24. the even and odd portions of y, respectively. Note that y(E),y(O) Πm.
  5. Traveling waves are hydrodynamically optimal for long-wavelength…

    www.damtp.cam.ac.uk/user/lauga/papers/182.pdf
    14 Dec 2020: Fluid Mech. 24, 313 (1992).[17] J. S. Guasto, R. Rusconi, and R. ... Fluid Mech. 762,. (2015). 123101-9. ERIC LAUGA. [24] T. D. Montenegro-Johnson and E.
  6. Collective stiffening of soft hair assemblies

    www.damtp.cam.ac.uk/user/lauga/papers/178.pdf
    6 Jul 2020: For apoint force located at a distance h above the flat bottom sur-face, and assuming no-slip boundary conditions, the flow canbe obtained using the hydrodynamic image method ... Like us, they interpreted theirresults using the models of Refs. [24,25].
  7. Numerical Analysis - Part II

    www.damtp.cam.ac.uk/research/afha/lectures/Part_II_NumAn/Lect_7_slides.pdf
    15 Oct 2020: 24 / 26. Stability: Backward Euler and the diffusion equation. 2) For the backward Euler method.
  8. 4. Non-Abelian Quantum Hall States The vast majority of ...

    www.damtp.cam.ac.uk/user/tong/qhe/four.pdf
    5 Oct 2020: 12, 34) (13, 24) = (z1 z2)21423. Then, using the definition of the Pfaan (4.3), we have. ... Pf(13),(24)(z) = A(13, 24). z1 z2(13, 24). z3 z4. = A(12, 34) (z1 z2)21423.
  9. Dr A. Hansen Mathematical Tripos Part II: Michaelmas Term ...

    www.damtp.cam.ac.uk/research/afha/lectures/Part_II_NumAn/b19.pdf
    16 Nov 2020: This gives expression for αk in (4.7). 37. Method 4.24 (The steepest descent method) This method takes d(k) =F1(x(k)) = b Ax(k)for every k, the
  10. On the existence of stable and accurate neural networks ...

    www.damtp.cam.ac.uk/user/mjc249/pdfs/NN_colbrook10.pdf
    17 Nov 2020: rL, (24). which is the same estimate as the one dimensional case for boundedd. ... The network weights are providedby the authors of [57] and had been trained on de-identified brainimages from the MGH–USC HCP dataset [24] where the image.
  11. Irreversible hydrodynamic trapping by surface rollers

    www.damtp.cam.ac.uk/user/lauga/papers/174.pdf
    6 Jul 2020: magnetic,5 electrostatic,18 or hydrodynamic forces.24 In recentyears, synthetic swimmers actuated by external fields, chemicalfuels or bacteria have been attracting attention and been employedsuccessfully for the transport of cargo ... 23 See ESI†.24 A.
  12. 2. The Integer Quantum Hall E↵ect In this section ...

    www.damtp.cam.ac.uk/user/tong/qhe/two.pdf
    5 Oct 2020: by (1.24). With the Landau levels filled, the current in the x-direction is. ... But we know from (1.20) and (1.24) that these harmonic oscillator states are.
  13. PII: 0377-0427(89)90022-8

    www.damtp.cam.ac.uk/user/ms100/PAPERS/JCAM89.pdf
    2 Feb 2020: Since. and. ux= [ rx i&r] exp(W,. 24 xx = [ 2irx+, rxx i+,,r - (x)2r] exdih. ... U, = 24, e,_, Sl_le,_2. S,‘e,. Now, for kc n define r&= (AZ)-2e,, and #k= ,S$#Q_, and put 4, = (AZ)-2e,_,.
  14. 8 Sep 2020: f (ξ ) = R3δ(ξ R1 ), (24)and so the flow is simply given by. ... 24] using a solution obtained with the use of flow potentialsand sphere theorems.
  15. Moments and Angular Spectrum for Rough Surface Scattering At Grazing…

    www.damtp.cam.ac.uk/user/ms100/PAPERS/JASA95stats.pdf
    4 Feb 2020: From Eqs. (24) and (25) this becomes. Mn( O,x;,O ) = ( - 1 )ne ilmsx. ... a• = - 2ikh(x)/2 0(/23) (47). and similarly from (13) and (24),.
  16. A Numerical Approach to Rough-surface Scattering by the Parabolic…

    www.damtp.cam.ac.uk/user/ms100/PAPERS/JASA90.pdf
    4 Feb 2020: Received 22 May 1989; accepted for publication 24 November 1989).
  17. Fluid Dynamics II (D) John Hinch Draft 1, September ...

    www.damtp.cam.ac.uk/user/hinch/teaching/FD2/FluidsIInotes.pdf
    18 Sep 2020: 24. The solution is. u = 12µ. dp. dx(h2 y2). The volume flux (per unit length in z-direction) is.
  18. J. Fluid Mech. (2020), vol. 903, A11. © The ...

    www.damtp.cam.ac.uk/user/gold/pdfs/stability_of_dancing_volvox.pdf
    22 Sep 2020: t = 18 s t = 21 s t = 24 s t = 27 s t = 30 s t = 33 s.
  19. 18 Jan 2020: 3.1 SQM with a Potential 22. 3.1.1 Supersymmetric Ground States and the Witten Index 24.
  20. Subpopulations and stability in microbial communities

    www.damtp.cam.ac.uk/user/gold/pdfs/subpopulations.pdf
    12 May 2020: Infections can thus be difficult to treateven in the absence of genetic antibiotic resistance; for thisreason, this phenotype has great biomedical relevance [24,27]. ... These might arise from antibi-otic treatments, which bacterial communities can
  21. Numerical Analysis - Part II

    www.damtp.cam.ac.uk/research/afha/lectures/Part_II_NumAn/Lect_19_slides.pdf
    16 Nov 2020: x n1} using a recurrencerelation. 24 / 26. Conjugate gradient - Warm up.

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