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1. CRITICAL EXPONENTS . . . . . . ...
www.damtp.cam.ac.uk/user/wingate/Part3Essay/2013critexp.pdf31 Oct 2012: 1. CRITICAL EXPONENTS. Dr M B Wingate. Systems which undergo a second-order phase transition at some critical tem-perature Tc have thermodynamic behaviour which can be characterized by asmall set -
Dynamics of Astrophysical Discs Mathematical Tripos, Part III Dr ...
www.damtp.cam.ac.uk/user/gio10/afd_dad.pdf19 Jan 2012: considered. Some astrophysical discs are non-self-gravitating, meaning that the internal. contribution can be neglected relative to that of external masses, most importantly the. ... mass does not vanish in general. However, some new topological -
Dynamics of Enhanced Tracer Diffusion in Suspensionsof Swimming…
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/FDSE/Leptosetal09.pdf2 Sep 2012: Despitethis complex form, the PDFs exhibit self-similarity undera diffusive scaling. Some physical considerations that maybe important in a theory of these results are suggested.Microscopy of Chlamydomonas suspensions was carried. ... There is some out-of -
Partial Differential Equations Example sheet 2 David…
www.damtp.cam.ac.uk/user/dmas2/public_ps/pdex2.pdf8 Nov 2012: X R which satisfies (for some positivenumbers‖B‖, γ):. • ... whereP is any strictly positive polynomial (i.e.P (x) θ > 0 for some realθ. -
VOLUME 84, NUMBER 13 P H Y S I ...
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/FDSE/WuLibchaber00.pdf2 Sep 2012: p2DtC. This experiment raises some interesting questions con-cerning the physics of an array of self-propelling objectsand their interactions with passive particles. ... In gen-eral one may write y2rmsy. 20 aRb , where a is some. -
BIT Numer MathDOI 10.1007/s10543-011-0355-z Quadrature methods for…
www.damtp.cam.ac.uk/user/na/NA_papers/NA2009_01.pdf22 Mar 2012: z‖b = maxt[0,T ]. ebt ‖z(t)‖,. for some b > 0, so that for sufficiently large b and any element z(t) of the space it istrue that ‖z(t)‖ ... Indeed,. ‖y[ν] y‖b γ ‖y[ν1] y‖b, for some 0 γ < 1 and b > 0. -
B6c.dvi
www.damtp.cam.ac.uk/user/examples/B6c.pdf8 May 2012: 2I[y](φ) 0φ V0. Lemma 5.0.3 (Sufficient conditions) Assume y V is such that DI[y](φ) = 0φ V0 andthe second variation satisfies, for some c > 0,. ... One. explicit approach to determining whether (5.2) holds for some c > 0 is to calculate the -
1 23 Annals of Global Analysis andGeometry ISSN 0232-704X ...
www.damtp.cam.ac.uk/user/md327/DD12_file.pdf23 Jan 2012: The corresponding G2 structure is closed:. dφ = 0, d φ = τ φ,where τ is some two-form [15]. ... There are also some lower order examples. • The fifth order ODE for conics9(y(2))2 y(5) 45y(2) y(3) y(4) 40(y(3))3 = 0. -
CURRENT TOPICS IN PLANT RESEARCH The sliding theory of ...
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/FDSE/Shimmen07.pdf2 Sep 2012: Some of the endoplasmic organelles remained onthe actin bundles and moved (not shown). ... 1985). From Acanthamoeba castellanii, Pollard and Korn(1973a, b) isolated an ATPase thought to be myosin.Although some biochemical characteristics were simi-lar to -
Mathematics, Innate Knowledge and Neuroscience, COMPLETE
www.damtp.cam.ac.uk/user/tf227/Mathematics-%20Innate%20Knowledge%20and%20Neuroscience-%20COMPLETE.pdf19 Dec 2012: knowledge. In the remaining of this lecture, some of these mechanisms will be reviewed. ... Conscious versus Subconscious Learning Let us first review (a) some historical facts, (b) elements of Freud’s theory of mind and. -
lectures2012.dvi
www.damtp.cam.ac.uk/user/phh/mathbio/lectures2012.pdf6 Jun 2012: large number of individual members each interacting with their environment in some way. ... sequence of interactions.). In this course we consider mostly approach (A), but include some of approach (B). -
The Mechanics and Statistics of Active Matter
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/FDSE/Ramaswamy10.pdf2 Sep 2012: scopic grains have provided some of the most fruitful realizations of active matter. ... For B. subtilis, the viscositywas suppressed by as much as a factor of seven in some cases (123). -
Part II Applications of Quantum MechanicsLent 2012 Prof. R.R. ...
www.damtp.cam.ac.uk/user/rrh/notes/aqm_notes_180112.pdf8 Mar 2012: The analysis follows a similar path to that already discussed for scatteringin 1D but with some important differences. ... i) it was prepared by some mechanism at a time far in the past when the particle waslocalized inside a high potential barrier. -
ISlecture_notes_2012_part1.dvi
www.damtp.cam.ac.uk/user/md327/ISlecture_notes_2012.pdf10 May 2012: For assume we use some existencetheorem for ODEs and apply it to (1.2). ... Thus, to some extend the Arnold–Liouville theorem has a characterof the existence theorem. -
There is more than one way to turn a spherical cellular monolayer…
www.damtp.cam.ac.uk/user/sh753/pdfs/2011_Hoehn_Hallmann_Inversion_V.globator.pdf27 May 2012: shaped cells in the posterior hemisphere occurs in con-junction with the formation of the bend region some-what below the equator of the embryo (Figures 1B1, B2,2A, B, 3C, ... I) Detailed SEM view of the cell monolayer from inside the spheroid (seeH for -
Hydrodynamic Phenomena in Suspensions of Swimming Microorganisms
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/FDSE/PedleyKesslerARFM92.pdf27 Aug 2012: Names of some typical genera (excluding gametes) are, respectively, Bacillus, Chlamydomonas, Volvox, and Tetrahymena. ... Some bacteria are also propelled by a single polar flagellum. One spectacular case is Bdellovibrio bacteriovorans. -
The development of concentration gradients in a suspension of…
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/FDSE/HillesdonPedleyKessler95.pdf2 Sep 2012: Indeed, after some time the cells in this distant region can be observed to b e c o m e totally inactive, as they use u p all the available oxygen. ... of the chamber ( z = 1) at some instant in time (t = t 1 , say). -
doi:10.1016/j.physrep.2003.08.001
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/vansaarloos.pdf31 Oct 2012: 3 Some readers may be amused to note that there are traces of such arguments in the original paper of Kolmogorovet al. ... 0 linearly unstable : Im! (k) ¿ 0 for some range of k-values : (4). -
Stratosphere‐Troposphere Exchange
www.damtp.cam.ac.uk/user/mem/papers/STE/holton-etal-strat-trop-revsgeoph95.pdf22 Aug 2012: The vertical velocity at some location is controlled by the distribution of wave-induced forcing (and its latitudi- nal derivative) above that location, as is explicitly shown by expression (7). ... To gain some quantitative i•sight, we might take Az
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