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

24 Jul 2018: 512. 512. Err 6.01%Err 6.01%. 1024. 10. 24. Err 3.60%Err 3.60%. ... This can be coupled with hidden Markov treesto model the wavelet structure, such as in the Bayesian CS (22, 23)and TurboAMP (24) algorithms.

19 Oct 2018: 2.24). Notably, this expression can be simplified into. s0 =sb(rc) r s(.

27 Feb 2018: Resource-explicit models of bacterial mutualismscompare well with experiments in which mutualists are wellmixed [5,6,23,24].

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.

3 Apr 2018: h7), (2.23). Magnus–Lanczos methods with simplified commutators 15. where. ϕ1(h,ζ,ξ) = h2 4hξ 2ζξ, (2.24).

31 Dec 2018: 23. 1. z. 4p2+. (3.24). The next part’s a little fiddly. ... 1. 1. 2p2. 3N. V+. which we then substitute into (3.24) to get.

26 Jan 2018: S k log G = kαN log E const. (1.24). and hence.

13 Dec 2018: elements. (Bn)mj = Anmnj. (24). We thus require. bn = B1n cn (25). ... from rough surfaces, Waves in Random Media, 6, 151-167 (1996). [24] A.A.

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)

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.

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,.

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

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

31 Dec 2018: f(r) = eU(r) 1 (2.24). This is a nicer expansion parameter.

12 Feb 2018: Z. CT [y0,y1]Dx eS[x]/. nY. i=1. Oi(x(ti)). (3.24). – 47 –. for the n–point correlation function. The hats on the Ôi remind us that the

14 May 2018: called a Nakanishi–Lautrup field) and write. [f ] =. ZDh eSgf [h,r]/ , (8.24). ... representation, h 2 0M (g). This does not imply that (8.24) is gauge invariant: indeed itcannot be if it is to fix a gauge!

19 Sep 2018: 6. First integrals and Fermat’s principle 24. 7. Constrained variation of functionals 27. ... 24 –. c1 BAn(z)dl, where the integral is along the path.

2 Nov 2018: operator (the case γ = 1) represents a challenge for spectral theory (Böttcher, Grudsky &. Iserles 2012). 24. Figure 4.3: The eigenvalues of the integral operator with ω = 100 for γ =