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18 May 2017: g(y) =. 2(1 q cos ψi) u2i E[. 12. cos1(. y2 u2i2. ... 2(1 q cos ψi) u2iF. [12. cos1(. y2 u2i2. q cos ψi).

13 Mar 2017: cosh ξ cos η 1cosh ξ cos η ez. (8b). We take the torus S to be the surface ξ = ξ0, with aspect ratio s0 = cosh ξ0 = b/a, then the ... A(η)d. sinh ξ0. s0 t =. n=0. ′(An cos nη Bn sin nη).

13 Feb 2017: 2/2 cos(x2 x) in the ‘window’ [λ,λ], where λ = 15. ... Hm(y) (2b(m 1)/2c)!(b(m 1)/2c)! ey2/2 cos. ((2m 1)1/2y πm. 2. ), m 1.

5 May 2017: sini sin θ2 sin φ2 cosi cos θ2 =R?/a. (4). Hence eq. ... by. b(ν)s (α)=1π. 2π0. cos(νx)dx(1 2α cos(x)α2)s. α < 1. (10). Eq.

20 Jan 2017: g(y) =. 2(1 q cos ψi) u2i E[. 12. cos1(. y2 u2i2. ... 2(1 q cos ψi) u2iF. [12. cos1(. y2 u2i2. q cos ψi).

9 Oct 2017: qτmcE). cosh(qτmcE). 0 00 0 cos. (qτmB). sin(qτmB). 0 0 sin(qτmB). ... ẏ(0) cos. (qτmB)ż(0). ]z(τ) =. m. qB. [cos(qτmB)ẏ(0) sin.

3 May 2017: vr|r=a =. n=0An(t)Pn(cos θ) and vθ|r=a =. n=1. 2n(n1)Bn(t)P. 1n(cos θ), (1.1a,b). ... Thus, ψ|r=1 = 0 and [ψ n]r=1 = vs sin θ = 3 sin2 θ(1 β cos θ)/2.

18 Apr 2017: s(smaxzsmin) Az(smax{smin) B cos 2b (5). where A6 and B6 are hole drilling constants, and b is the anglefrom the x axis to the direction of maximum principal ... 2 w sin2 yze33 cos2 yze13 cos w sin 2y. ze23 sin w sin 2y : : : : : : : : : : (7).

8 Mar 2017: A G B B G A as gi(Ai) = Bi g1i (Bi) = Ai3. ... Then C G B(a,) G J G B(b,r) G D. So C G D.

30 Apr 2017: I P One can non-dimensionalize this equation. a,2a+(ls’cos(rr))a = O (3 b ). w E T ’ P9. where r = o o t , r = - , E ’ = w0 1+-K2. ... on the detuning. (i) if cos (v-$) > 0, which corresponds to v > - h a / P , the transition is super- critical.