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7 Apr 2021: m!2 = 2 eika eika. = 4sin2. ka. 2. We find the dispersion relation! = ... 2 =. mM. hm M. p(m M)2 4mM cos2(ka). i. The resulting dispersion relation is sketched in Figure 64 in the first Brillouin zone.

8 Mar 2012: This gives. Aκ cos κa. A sin κa=. B k cos (ka δ0). ... γl =κaj′l(κa). jl(κa). (4.1.2.2). As k 0 have γl const, jl(ka) (ka)l, nl(ka) (ka)(l1) and, as before, getδl (ka)2l1.

7 Apr 2021: m!2 = 2 eika eika. = 4sin2. ka. 2. We find the dispersion relation! = ... 2 =. mM. hm M. p(m M)2 4mM cos2(ka). i. The resulting dispersion relation is sketched in Figure 74 in the first Brillouin zone.

10 Apr 2011: Trapping and Wiggling: Elastohydrodynamics of Driven Microfilaments. Chris H. Wiggins, D. Riveline,# A. Ott,# and Raymond E. Goldstein. Department of Physics, Princeton University, Princeton, New Jersey 08544 USA; #Institut Curie, Section de

19 Oct 2013: #"$ %'&)(,.-0/$1#(23547684:9 ;8< = >?9A@B9DCFE7;8<G9IH 4KJ L59NM. OPRQST U U U U V W XY XY X X X XZ XY XY X. X XU XU. [#[T U U U U]_)]_)a.bc)_edXU XZ X X XZ X X XU XZ X f b)ghd. XZ X XZ X X Xi. [)jT U U U Uk]_l]DmBnoDdXi Xi XZ XU XZ X XU XZ XZ XZ X

26 Jul 2013: with similar viscosities (, ) and densities (, ),(b) dimensionless membrane-viscous number, Me U=KA, for two fluids separated by an elastic membrane(thickness t, area modulus KA, density m, bending stiff-ness ... f 2= is an intrinsic viscocapillary

12 Mar 2015: components are. Ex = ωA sin(nπy. a. )sin(kz ωt). By = kA sin(nπy.

18 Oct 2019: non-negative, because. n = nhn|ni = hn|N |ni = hn|A†A|ni = kA|nik2 0 (3.11). ... Taking the norm of both sides shows that. |cn|2 = kA†|nik2 = hn|AA†|ni = hn|N 1|ni = n 1.

20 Jan 2011: 2.12)Consider a complex tetrad of 1-forms. Ka = i(α̂AβA′ αAβ̂A′ ), Xa = α̂AβA′ αAβ̂A′ , Za = αAβA′. ... We now use(2.16) to find. φAB = 2|K|2 KA′B AA′. (1.

20 Jan 2009: Ex = ωA sin[ nπy. b. ]. sin(kz ωt),. By = kA sin[ nπy.