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24 Sep 2002: 21r5+. 24. 11r4 10. 21r2. ]P5(cos θ). ). (32). From this we can determine the first function of (18):. ... Wesubstitute r = 1 ξ in (37), expand the solution in powers of , and note that the last term in(24) is O(ξ) for ξ.

24 Sep 2002: 2 (24). Nonlinear Schrödinger equation 5. At best, this describes the phonon branch of the excitation spectrum. ... e.g. see [34]. It is clear from (24) that is negligibly small when , because then!

24 Sep 2002: Appl. Math. 99 1 :1]24 1997. 3. J. WEISS, M. TABOR, and G. ... Phys. 24 3 :522]526 1983. Ž. 4. D. J. BENNEY, Long waves on liquid films, J.

24 Sep 2002: g1 = σ(β 2δ) 4δA4rr′(r2 r′2) σ = 2A2rr′. (24)In (22), In is the modified Bessel function of ordern. ... 1. 5. φ(ξ ′,η′,ζ ′)U. ((ξ ξ ′)24. (ηη′)24. (ζ ζ ′)2.

18 Nov 2002: ODC 24. TH 25. NOS 26. GRa1 27. GRa2 28. GRa3 29.

24 Sep 2002: U 2ii. j=0(r2i,2j P2j (cos θ)) (24). and we set each term of the Taylor expansion of φ(r(θ), θ) in U equal to zero. ... to the leading order mainstream condensate. Here n is the outward normal to the surface (24)of the electron.

24 Sep 2002: 2 2q b y b j. 5.6Ž. Ý Ý Ý2 24 3 5mj j /z q wŽ. ... Appl. Math. 32:353]366Ž. 1984. 4. G. B. WHITHAM, On Shocks and Solitary Waes, Scripps Institution of OceanographyReference Series 91-24, 1991.

16 May 2002: linearly. related to the Peach–Koehler force through the drag relation. f(k) = Bv(k); (24). ... 24) is taken to be B = 104 Pa s, all of which are.

16 May 2002: On taking an inclination b 308, tY 50MPa, E 182 GPa and d 5:5 mm, the relation (24) gives Gmc 10:7 kJmÿ2.Thus, Gdc=Gmc equals 0.1, and ... Through-thickness stitching isa promising technique for raising Gdc, the use of thick bres elevates Gmc

16 May 2002: 1 (f). 1/24-th of the soft sphere is. meshed. The mesh comprises about 4300 second order elements and 100,000 degrees of freedom; 20-node bricks and 15-node ... The mesh in Fig. 3(b) models a 1/24 of the central soft sphere.