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31 Dec 2015: 2p 1)" 2p1. L. x. 2+. 2q1Ly. 2# ez, (24). while the sensitivity on the vertical walls Hvert(y) at x = 0 and x = Lx can be obtained by symmetry.The ... Rev. Lett. 99, 048102 (2007).24 R. Golestanian, T. B. Liverpool, and A.

31 Dec 2015: 24]), forexample, at an air-water interface such as the surface of abubble [25,26]. ... Rev. 73, 68 (1948). [24] W. L. Nyborg, Acoustic streaming near a boundary,J.

17 Dec 2015: 2. ) f(x′). ], (2.24). preserving all quartic Hamiltonians.We note that (2.22) has second order accuracy.

30 Nov 2015: φ|Rn{0} = 0 , tφ|Rn{0} = 0 and lim|x|. φ = 0 , (10.24).

30 Nov 2015: 2.3 Self-adjoint differential operators 22. 2.4 Eigenfunctions and weight functions 24. ... 1)k1. ikeikθ (1.24). do in fact converge on the sawtooth function everywhere except at the discontinuity.

18 Nov 2015: f, f) =1. 2π(f̃, f̃) (8.24). so that the L2-norm of a Fourier transform agrees with the L2-norm the original function,.

9 Nov 2015: We have (P 1)K = 24 equa-tions for K(K 1)/2 = 28 unknowns. ... Dj,k = 0 for |k j| 6. There remain 25 unknowns for the 24 equations.

9 Nov 2015: shape. y(x) =µg. 2Tx(x L). (7.24). that obeys y(0) = y(L) = 0. –

8 Nov 2015: By following a similar argument as forthe bosonic field and using eq.(1.24) we see that. ... P̂ψ(x)P̂1 = ηPγ0ψ(xP). (1.54). The u spinor has the property (1.24) which leads to eq.(1.25).

8 Nov 2015: RTkz RTz‖2 ‖R(Tkz) R(Tz)‖2 p(Tk z,T z)2. 8δ̂(Tk z,T z)2. 24(1 |z|2)2δ̂(Tk,T)2. ... ζ(z)2 ζ̃2k(z)| C. 24(1 |z|2)δ̂(Tk,T). (5.4). If z σ(T) then at least one of ‖R(Tz)‖ and ‖R(Tz)‖ is equal