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0 < w < 1 implies that 1 cos(w) C0w2. This implies in turn that for τ < 1/b where b has been defined in (11). ... 1 rv(τ) = 0. 1 cos(λτ) dFv(λ). 1/τ0. 1 cos(λτ)dFv(λ). C0τ2 1/τ0.

We considera cat’s eye flow with. ψ = A cos x B cos y, w = ψ, (3.1). ... Finally let us now replace (3.1) by. ψ = A cos x B cos y, w = A cos x B cos(y φ), (3.7).

3.2) ti (b) = (1. |b|n. )cos. (iπ. n. ) |b|n, i = 1,. ... 1+. cos(πn. )) where direct calculations show that the points ti (b), i = 1,.

Second, if cos(ωa) = 0,then ω is one of the numbers (8) and. ... Bj=1. r=1. 1. r2. (2. B 1. )r cos(rθj)aj. , (24).

where. 21. T (d,s,a,b) = b. awk{(. 1 d swψ. )cos. ( ... a′)k cos (a′) (b′)k cos (b′) k P1 (k 1,a′,b′) , k 1.

and (7.17) follows withµ = 0, b = Γ(1 α) cos(πα/2) > 0, β = 1.2) Let now1 < α < 2. ... 2+. 1 β. 2exp(b ex. ), (10.9). where, according to (2.9),β 1 andb = Γ(1 α) cos(πα/2) 1.

i cos(γπκ2. ) sin(γπκ. 2)). , (36). where γ, b are model-dependent constants, while H(κ) is a model-dependent product ofgamma-functions. ... A(x) = cos(γπvx2. )eγvx log x+. k=1 z2k1(vx)2k1. , (37). where zk is proportional to ζk in a

The general form of these. solutions is. ψ = cos(λ0z)A {cos(λ1z)B c.c.} , (19)θ = i. ... TaAz {iλ11 B sin(λ1z) c.c.} , (26). v = A {B cos(λ1z) c.c.} , (27)where λ21 = σ1μ iTa and μ is the growth rate of the mode.

The tetrad vectors are. e1(τ ) =(. sinh(aτ ) cos(bτ ) (b/a) cosh(aτ ) sin(bτ ),. cosh(aτ ) cos(bτ ) (b/a) sinh(aτ ) sin(bτ ), (k/a) sin(bτ ), 0). ,. ... e2(τ ) =(. sinh(aτ ) sin(bτ ) (b/a) cosh(aτ ) cos(bτ ), cosh(aτ ) sin(bτ ) (b/a) sinh

trigonometryi.e. applying cos2(γ) = 12(1 cos(2γ))the formula. sYd2(s) =sj2d. 2. (s). ... H(t) = 12A2q2d. 2. (1. (d 1)td1+. t. cos(2s 2β)sd2. ds. )