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18 Oct 2019: 2nm! cncn1 = xn ein. (3.24). Equation (3.23) shows that hXi oscillates sinusoidally at exactly the classical frequency! ... 24 –. appreciable, then, to reasonable accuracy, all the terms that contribute to (3.31) oscillate.

10 Apr 2011: 15 OCTOBER 2010. 168101-2. surface [23], as well as a particular case of the ‘‘squirmer’’model [24]. ... Natl. Acad. Sci. U.S.A. 103, 8315. (2006).[24] J. R. Blake, J.

8 Jul 2021: 19]. Ex-perimental work on bacteria in their swimming [20–24]or swarming states [25,26], algae [27,28] and sperma-tozoa [29,30] provide diverse examples of correlated,collective dynamics ... 23] Wolgemuth C. W., Biophys. J., 95 (2008) 1564.[24] Sokolov

8 Oct 2021: and absolutely impossible for me to do so in a course of 24 lectures).

29 Nov 2021: 1) aresurrounded by nonciliated cells: “goblet cells” that covermost of the tissue secreting mucus-like material [24],mosaically scattered small cells [25,26] secreting serotoninvesicles that modulate the ciliary beat frequency ... 24] S. Nagata,

19 Oct 2007: dxδ(x) = 1 (1.24). The Fourier transform of the delta-function provides a useful representation that we.

21 Oct 2014: R23/24/25 Toxic by inhalation, in contact with skin and if swallowed. ... R39/24 Toxic: danger of very serious irreversible effects in contact with skin.

8 Jul 2024: man and von Neumann [21, 22], modern Koopman theory hasled to a renaissance of data-driven dynamical systems over thepast decade [7, 8, 23, 24, 25, 26, 27, 28].

21 Oct 2014: Volatile Solvent Permits can only be issued within 24 hours of the work commencing. ... skin R39/24/25 Toxic: danger of very serious irreversible effects in contact.

8 Nov 2017: Chlamydomonas is a pulleron average but in fact oscillates between instantaneouspusher and puller behaviours [24], potentially interferingwith the development of an instability. ... Rev. FluidMech., 24 (1992) 313. [20] Jibuti L., Qi L., Misbah C.,

1 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.

26 Jul 2013: 24),simplifies to. F̂ 〈U2〉=. V0. 〈Σ[u1]〉 :ûdV. (26). 64001-p4. Life at high Deborah number. ... 24] Leal L. G., Annu. Rev. Fluid Mech., 12 (1980) 435.[25] Blake J.

7 Feb 2005: Mathematical Tripos Part IILent 2005. Professor A. Iserles. Numerical Analysis – Lecture 121. Methods 3.25A generalν-stageRunge–Kutta methodis. kl = f. . tn clh, yn h. ν. j=1. al,j kj. .  where. ν. j=1. al,j = cl, l = 1, 2,. ,

14 Nov 2019: foodsources [15–18], behave near boundaries [19–23] and movein complex fluids [24–27]. ... k sin(2k)(13k2 48), (46). mw = 6 cos(2k)(24 48k2 7k4) 4(k6 9k4 36).

1 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,.

10 Jun 2024: Slide 24: Spectral measures goes to diagonalisation. Slide 25: Spectral measures goes to dynamics.

13 Apr 2018: 4 inset), cf. elastic fiberbundle models [24]. More generally, the LP approach toAmontons-Coulomb friction problems may have applica-tions in stress transmission in granular media, such as sandpiles and grain ... 13, 848 (2017). [24] S. Pradhan, A. Hansen

3 Aug 2018: Received 24 June 2017; revised manuscript received 27 March 2018; published 3 August 2018). ... 3, 403 (1993).[24] S. Kamimura and R. Kamiya, Nature (London) 340, 476.

16 Aug 2018: X δ. δMSqo =. [ψ̄Xψ. ], X† = X , Jµα =. δ. δAψµαSqo =. [ψ̄γµTαψ. ]. (4.24). As a consequence of invariance under (4.21), for η = η̄ = 0,. ... S̃(1)o =1. 16π2ε. ((nV 2nF ). 1. 180(3F G) 1. 24(2nV nF )RαβγδRαβγδ.

9 Mar 2023: Kernels. 24/34. ResDMD computeswith error control. 𝜃0. •. •𝑂(𝜀). 𝜀 = “smoothing parameter”. •••. •. ... Slide 23: Spectral decomposition of operators. Slide 24: Spectral decomposition of operators.

12 Dec 2023: movement [24].

15 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.

13 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

28 Jan 2016:

4 Mar 2005: Implementation 5.24 It is quite usual to solvehyperbolic PDEs (advection equation, wave equation,Schr̈odinger equation, Euler equations of invicid compressibleflow. )

1 Dec 2023: D(φ) dζ = γ(φT φ0). φTD(φT)φT. t, (24). by using (21) and the time derivative of (22a). ... A brief description of each device is given here; more details can be found in the work ofPaterson.24.

24 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.

1 Dec 2023: 𝑤(𝜍,𝑌) = 𝑊 & 𝑤𝜂(𝜍,𝑌) = 0, (24). here 𝜂 = 𝑌 are the bordering yield surfaces where the plug havepeeds 𝑊. ... For a free shear layer with 𝛶𝑛1 = 𝜅 = 0, there is a self-similarolution to (23) and (24) of the form. =

21 Oct 2019: Such invariants need four points as in (2.24). 20. 3.1 Scalar and Vector Fields on the Null Cone. ... so that SAB, S̄AB have the same Lie algebra as LAB in (3.24).

19 Oct 2013: 24. The oldest strain of such non-conformism is Calvinist, Puritan.

26 Jul 2013: Ishida et al.[21]. Tyrrell and Attard[22]. Tyrrell and Attard[23]. Steitz et al.[24]. ... These sizes are in agreement with the ex-perimental evidence of bubbles in Refs.[21–24], as summa-rized in Table I, although somewhat smaller.

7 Feb 2005: y0, n = 0, 1, 2,. 24. The following four-stage Runge–Kutta method has order four,.

8 Nov 2017: This technique allows theasymptotic exploration of a range of ribbon structures, such asartificial microswimmers comprising a magnetic head and aribbon tail.22–24. ... 24 L. Zhang, K. E. Peyer and B. J. Nelson, Lab Chip, 2010, 10,2203–2215.

20 Sep 2023: Too little ortoo much arousal results inpoorer performance. 24. • Inf.-dim. ... Slide 23: Quadrature with trajectory data. Slide 24: Example: Verified modes.

2 May 2022: CF4@QSR9O4<.C2,-CC0,>2/.C24@01?4/=2A;C1=-022A-A-0/24@,.;-/=E010,01FC=CQTR9UA-10E54@/4<.C2,-CC0,>2/.C2=,VP=CA-,E-2A-VEA=11-CWA--14@ ... 4-CXY1-0>24.,C20<1-;-2A4>C0,>VP_?-,-/02->A011.E=,02=4,CH-B-,=,CE-,0/=4C3A-/-3-E0,D/4B-2A02C20<1-0,>0EE./02-77C-Z=C2IG./;

13 Jan 2021: actin. Here, through a combination of direct computationson the coupled filament-flow problem [24] and studies of acontinuum theory for dense filament suspensions [28], weconfirm this hypothesis by showing the existence ... ffiffiffiffiffiffiffiffiffiffif

26 Jul 2013: 4 6 1 1 13 24 1 1 21 40 1 15 6 1 3 14 28 3 1 22 42 1 16 12 3 1 15a 30 3 1 23 ... 43 2 37 12 1 1 15b 30 3 1 24 60 15 18 16 3 1 16 32 3 1 25 48 1 19 18 3 1 17 34 3

1 Dec 2023: 1a), and a hose thermal conduct-ivity of 0.24 W m1 K1. ... The yellow shade marks the 24 h period selected to define h0 (36 60 h post-breakthrough).

27 May 2019: electrohydrodynamics of a cylindrical and helical particle[24,25] (see the Supplemental Material [26] for details). ... Rev. Fluid Mech. 48, 105 (2016).[24] C. Pozrikidis, A Practical Guide to Boundary Element.

28 Jan 2016:

3 Dec 2022: 162r2c3|m̈|2 sin2 ẑ (6.24). – 150 –. Integrating over all space gives us the power emitted,.

18 Dec 2017: µ = 0. (3.24). This ensures that (3.3) implies. MµνΦϕ = LµνΦϕ , PµΦϕ = µΦϕ. ... Θµν =1. z. (µΦϕ νΦϕ. 1. 2δµν λΦϕ λΦϕ. d 24(d 1). (

24 Aug 2023: a1.ak. 7! J[a1a2! a3.ak2] (1.1.24). and h : H! H is defined by.

24 Jul 2023: δjk 12. dR̂jdŝ. dR̂kdŝ. )(ũk (R̂) ũk (ŝ). )dŝ,. (2.24). where R̂i = R̃i(ŝ). ... 3.1.1. Computation of forces and torquesUnder this parametrisation, (2.24) becomes. Ji = η̃s2. [

10 Mar 2018: A different approach was developed by Painlevé, Kowalevskaya, and Gambier who studied 2ndorder ODEs in the complex domain.16,24. ... Proc. Cambridge Philos. Soc. 156, 99–113. (2014).24 Painlevé, P., “Sur les équations différentielles du

9 Nov 2022: Newtonian fluids, includingboth short-range and long-range hydrodynamic interactions,direct collisions, and Brownian motion (24, 28, 29, 31, 32,43, 44). ... 24) forNewtonian fluids to predict the size of the radius of curvatureusing the distribution of

2 Jun 2019: Rev.Fluid Mech., 43 (2011), pp. 1–24. [19] C. C. T. Pringle, Y. ... Rev. E, 78(2008), p. 037301. [24] T. M. Schneider, D. Marinc, and B.

20 Jan 2011: American University ofBeirut, Beirut, Lebanon5 The Mathematical Institute, Oxford University, 24–29 St Giles, Oxford OX1 3LB, UK. ... Substituting (2.24) into (2.23) gives the system (2.18) for the1-forms ei.

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

10 Apr 2011: 24). 232 A I Pesci et al. where we have used the notation i /xi. ... The equationof motion for u can be recast in the form (24) by taking its gradient and then replacing.