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8 Jan 2018: Nonlinear NonmodalStability Theory. R. R. Kerswell,School of Mathematics, Bristol University, Bristol, U.K., BS8 1TW; email:. R.R.Kerswell@bris.ac.uk. Xxxx. Xxx. Xxx. Xxx. YYYY. AA:1–30. This article’s doi:. 10.1146/((please add article doi)).

11 Jan 2018: coli) [24], and also Salmonella typhimurium [23], Halobacteriumsalinarium [25], and Bacillus subtilis [26] [see Fig. ... 24). The terms on the left-hand side can be simplified by noting that.

19 Jan 2018: absolutely impossible for a course of 24 lectures to do so). ... showing that the quantity. =. Z. N dd1x (1.24). is conserved under evolution via the classical equations.

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

23 Jan 2018: qq′). (1.24). Upon the substitution p′ = p m(qq′). t this becomes. ... Z0[J] =. d[ϕ] e. i2. ddx (µϕ(x)µϕ(x)m. 2ϕ2(x))iddx J(x)ϕ(x). (2.24). This is an integral with a highly oscillating integrand; if

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

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

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

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

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