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sním.i. oB]. L]. [La]. [M]. [Y].i. i. B]. L]. [La]. [M]. ... rinn sginerinn scinerind scine [.]. i. i. a cos. [B]. L]. [La]. [M].

û(λ) = 〈u, ϕ(, λ)〉 = b. 0. uλϕ(, λ)w u(0) cos α,. ... Thereforewe find λ(Lϕ̆(, λ))(0) = λf (0)ϕ̆(0, λ) = sin α and (Lϕ̆(, λ))′(0) =. 18 C. BENNEWITZ, B. M. BROWN, R. WEIKARD. ϕ̆′(0, λ)/f (0) = cos

1n. p (,). cos. sin. R. Ar. B R. N. N. ... N. different bus them. integrals. cos. cos. N. m D. cancel themselves; in addition, the fluid does not couple either the modes. ().

dXt(x) =. [κ2. x2Xt(x) f(x, Xt(x)). ]dt. j=1. [2ν. jr2. b(x, Xt(x)) cos(jπx). ... Theorem 1 finally shows that, under condition (31),the SPDE. dXt(x) =. [κ2. x2Xt(x) f(x, Xt(x)). ]dt. j=1. [2ν. j32. b(x, Xt(x)) cos(jπx).

Now applying E E′ to δE.a = a.δE and using (b) gives (c). ... Then:. a) gij gjk = ev(ei ek). b) gij gjk = ev(ek ei).

Moreover,. ρ cos(λρ) = λ sin λρ = λ2ρsin λρλρ. and the results follows. ... sinh ρ. )N12 cos λρ. C N1n=2. λn. so that, if t 1,.

x)n. =γn0 (x). 2+. n. j=1. [γnj (x) cos(jϕ) σ. ... Using (4.4) this permits us to rewrite. ((cos ϕksin ϕk. ) x)n. =.

p. cos (. ). cos (. ). =. -. With. T kx. ... WITH B. =. The considered wave is thus “equal” to the incidental wave (coefficient of reflection equal to the unit).

2) isgiven by B(?): = @cos(2c:/#) 8@6sin(2c:/#) @for the periodic axis, while for the reflective axis wehave B(A)0 = 0 or B. ... A): (=, =0) =. #1 5 (==01)/26(=)6(=0)/[f cos(c:/#)] with6(<) =. 5 sin(c:</#) sin[c:(< 1)/# ] when. : >

cos. The solution for a subcritical damping such as. C. C. ... 2. cos. sin. cos. with. D. =. -. 1. 2. 2.2.