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13 Oct 2013: On Being the Right SizeJ. B. S. Haldane. The most obvious differences between different animals are differences of size, but for some reason the zoologists have paid singularly little attention to ... But it is time that we pass to some of the advantages

5 Oct 2013: Also,‖Dmkζmk‖Rd Kn‖ζ‖Y mn /h. k for some Kn > 0 depending on n and independent of [a,b]. ... for some C̃n > 0 depending on n and [a,b], however still true for any [ã, b̃] [a,b].

26 Jul 2013: The force-displacement relation, Eqs. 2c and 2d can then be linear-ized, and after some straightforward algebra, we obtain. ... 2c and2d, and after some tedious but straightforward algebra weobtain locomotion and relative motion at speeds V , V2. =

26 Jul 2013: covering some eukaryotes51 also deform as so-called metachronal. waves52–54 (Fig. 1c). ... mers, some simpler modes of non-reciprocal motion can be. devised theoretically and in the lab.

4 Oct 2013: with Cauchy data u = h(t), ux = m(t), uy = n(t) specified along some curve B givenparametrically as x = xB(t), y = yB(t). ... conditions. We willillustrate it with some examples (cf. exercise sheet IV for more examples).

26 Jul 2013: 1 and 2 by and ,respectively, and lengths by some arbitrary length scalealong the flapper. ... 2 tan 2t. 39. b. Average flow. After some algebra we get.

9 Jan 2013: for some α 0, uniformly for t, x 0, provided that t/x is bounded awayfrom zero and infinity (Iserles 2008). ... Theorem 1 Let the matrix B be skew symmetric and banded, that is bm,k = 0 for|mk| r 1 for some r 1, and let its coefficients be independent

19 Oct 2013: 1, andfrom the SWW analysis as well, namely that the result of the Q contours deformingirreversibly in some surf zone 1. ... J. Fluid Mech., 245, 191–210. Ford, R. et al. 2000 Balance and the slow quasimanifold: some explicit results.

5 Oct 2013: Also,‖Dmkζmk‖Rd Kn‖ζ‖Y mn /h. k for some Kn > 0 depending on n and independent of [a,b]. ... for some C̃n > 0 depending on n and [a,b], however still true for any [ã, b̃] [a,b].

5 Oct 2013: Nor does is apply to methods for which convergence occurs only downto some finite tolerance tol. ... divergence offn,m for some nontrivial family of analytic functions – whenever n = O (m).

19 Oct 2013: 1, andfrom the SWW analysis as well, namely that the result of the Q contours deformingirreversibly in some surf zone 1. ... J. Fluid Mech., 245, 191–210. Ford, R. et al. 2000 Balance and the slow quasimanifold: some explicit results.

5 Oct 2013: Nor does is apply to methods for which convergence occurs only downto some finite tolerance tol. ... divergence offn,m for some nontrivial family of analytic functions – whenever n = O (m).

19 Oct 2013: Thenv = r̂ Sψ for some streamfunction ψ, and. Q = b1(f 2Sψ) (8.6)with b strictly constant, where f is the vertical component of 20 and Sand 2S are the ... they must be expected to do so imperfectly, mixing more strongly in some.

14 Aug 2013: Some of these examples are (2, 2) analogues of plane wavespace–times in General Relativity. ... F A = 2εA B P B. (5.4). for some function.

19 Oct 2013: But the nature of large-scaleatmosphere–ocean turbulence is in some ways at an opposite extreme:. ... Plot(a) shows idealized Q distributions before and after mixing Q in some y-interval or latitude band;(b) shows the x-averaged Q distribution in an

19 Oct 2013: So it’s more insightful to regard theheating rate B as part of the response to some forcing. ... Wavesbreak aboveGarcia modelmesopause(same JGR issue). Some nostalgiafrom the early1980s:. (1982). McIntyre 1982, J.

26 Jul 2013: Although this is clearly a simplified model, it allowsus to rigorously treat the effect of viscoelastic stresses ontransport processes, and is therefore likely to shed some lighton the biological examples detailed ... ̃̇1, D12we obtain, after some

26 Jul 2013: 5.24). where b is some real constant and. I (ζ, Ca) =1. ... of capillarynumbers up to some maximum Ca in the interval 0.01 < Ca < 0.03.

26 Jul 2013: Althoughlittle is known experimentally about the actual energy con-sumption associated with ciliary propulsion, some studiessuggest that metachronal waves reduce the energy loss.19. ... However, the treadmill swimmer provides some impor-tant insight

19 Oct 2013: u = φ ,. for some scalar field φ(x, t). The field φ(x, t) is called the potential, or velocity potential, for u. ... Choose some fixed point x0 D— x0 could be the origin of coordinates, or any other convenient choice — then define.