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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

28 Sep 2018: Set t = 0.2Rex2. Plot ω(0.5, 0.5, 1) at Re = 10for N = 10, 12, 14, 16, 18, 20, 24 and 28. ... Accuracy consistence. b. Overall O(x2). Set t = 0.2Rex2. Plot ω(0.5, 0.5, 1) at Re = 10for N = 10, 12, 14, 16, 18, 20, 24 and 28.

22 Jan 2018: and slender-body theory (SBT)24,25 to model the flow induced by the rotating flagellar filamentsof the trapped bacteria. ... Mater. 24, 811–816 (2012).33X. Chen and H. C. Berg, “Torque-speed relationship of the flagellar rotary motor of Escherichia

13 Dec 2018: 2.1. Formal solution and splitting series. The method of solution is analogous to that applied to the electromagneticproblem in 2-d or 3-d [23, 24]. ... 24] M. Spivack, J. Ogilvy, C. Sillence, Electromagnetic scattering by large com-plex scatterers in 3d,

13 Dec 2018: As an illustration of the method, Figure 1 shows comparisons between the firstand second iterations of the operator series with ’exact’ computations from (24 ),restricted to the rough portion of the ... αr r′. = f(r,r′) (24). the expression (23)

11 Nov 2018: Amer. Math. Soc., 24(1):81–124, 2011. Introduction Schrödinger and PDEs Discrete operators Numerical Example Conclusion Definitions. ... Solvability Complexity Index (SCI) [24, Hansen, JAMS]. is some set, called the primary set,.

13 Dec 2018: g = (A’ B’)m. where. A’ = a2 -@g. 8’ = -2r [l -! Jtt, $1,! (<, 59 = f(E) f(d. l = @1- 22 - 23 td)/SL, 7 = (21 - 22 2s - 24)/2L, and

27 Nov 2018: iλ4! )2(24). d4xd4y 4F (xy). (7.6). To count the combinatorial factor of 24, start by choosing one leg on the bottom vertex (it doesn’tmatter which, since they are ... For n = 2, we get P2 = 105,and we also have 24 72 9 = 105.

1 Nov 2018: 24 –. the commutator of the generator with the operator. ... U (b) U (a) = U (b a) = U (a b) = U (a) U (b) , (4.24).

27 Nov 2018: is based on Alt’s formulation [22]and extends subsequent models [23,24,33]. ... dpdx. (24). The significance of the last two terms on the right-handside is known for nonchemotactic swimmers.

18 Apr 2018: Note that this second casepresents many formal similarities with the dissolution process of droplets [22], their evaporation[23], and even dissolving solids [24]. ... 2)P ′n(μ), (24). Un(η) = An cosh(n 12. )η Bn sinh.

16 Jul 2018: Phys. Fluids 24, 061901 (2012). 18. Lauga, E. Bacterial hydrodynamics. Annu. ... 24. Johnson, R. E. An improved slender-body theory for Stokes flow.

13 Dec 2018: By (24),〈h(X). I(r). r. 〉=. 〈h(X). d. dr. r0. ikh(r′) cos θeikSr. ′. ... 24] P. Tran, Calculation of the scattering of electromagnetic waves from a two-dimensional per-fectly conducting surface using the method of ordered multiple interaction,

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

13 Dec 2018: 0 Zl ( (•(x,zi))=--• Do(X)-- likzi cos 0 --• COS 2 0 eikXx+ h(x)• ,. (24). where • is the variance of the surface height. Here we have neglected an O(a ... 29) Collecting terms, and using (25), (26), and (29), Eq. (24) can now be written. ( {•

13 Dec 2018: F′n1, An,n =τ. 2ξF′n. (24). This is easily and rapidly inverted by back-substitution.

14 May 2018: 7.24). where we’ve used the fact that, in a local trivialization, the covariant derivative acts.

3 Apr 2018: with (2.17).Finally, equation (2.24) is satisfied upon eliminating fww in the sameway and using w. ( ... 24. motion of N-vortices. There are several ways to obtain the metric forboth flat and curved backgrounds [46, 16].

8 Aug 2018: The fingering of several branched struc-tures obtained from a conformal mappingapproach (16, 24) to the Hele-Shaw dy-namics is shown in Fig. ... M.McConnell, J. Phys. Chem. 96, 3167 (1992). 24. See, for example, D.

18 Nov 2018: Doyle and C. McMullen [24]: “But can be solved in the case ofthe quartic and the quintic using several limits (towers of generallyconvergent iterative maps linked serially).”. ... P. Doyle and C. McMullen [24]: “But can be solved in the case ofthe