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16 May 2019: SIGMAA. Calculate phase probabilities from |F. O. |, |F. C. |,. C. Combine MIR phase information using Hendrickson-Lattman coefficients. p(. ). exp[A cos(. ) ... B sin(. ) C cos(2. ) D sin(2. )]. Produce 4 types of map coefficients:.

30 Aug 2019: cos a = cos b cos c sin b sin c cos A. ... sin a cos B = cos b sin c sin b cos c cos A.

17 Jun 2019: cos α =(a b) (a c)|a b||a c|. Using identities (1) and (2), prove that. ... cos δ(B, C) = cos δ(A, B) cos δ(A, C) sin δ(A, B) sin δ(A, C) cos α.

23 Nov 2019: The. Hamiltonian felt by the protons will then be. H = µ (B b cos(ωt) ) = 2µ. ... The TDSE for this system is thus(ȧ. ḃ. )= i. (B b cos(ωt).

17 Jun 2019: 1]. (b). J = π/2. 0. sin x cos x dx. ... 4]. (d) The surface S of an ellipsoid is defined parametrically byx = (b sin θ cos φ, b sin θ sin φ, a cos θ), where 0 6 θ 6 π

1 May 2019: χ2i wi. λab. (Kab K0)2 (18). C00 = 1 (19). C10 = cos θ (20). ... C20 =12(3 cos. 2 θ 1) (21). 2. Table 1: Parameters of PAH anisotropic atom-atom potential in a.u.Atom Pair laκa lbκb ρ α C6C C 00 00

16 May 2019: A cos(αφ. 1. ) B cos(αφ. 2. ). This is where the vector representation of waves becomes very useful. ... i (cosα. 1. sinα. 2. cosα. 2. sinα. 1. ). = cos(α. 1. α. 2. ) i sin(α. 1. α. 2. ).

6 Nov 2019: A cos(ka) B sin(ka) = 0 (4.23). and hence. A cos(ka) = 0 and B sin(ka) = 0. ... or B = 0 , cos(ka) = 0 ,. ψ(x) = A cos(kx) , k =nπ.

8 Nov 2019:   cos φ sin φ 0sin φ cos φ 00 0 1. ... ψ̇ φ̇ cos θ. . (b) [optional extra] Calculate the matrix B = R>Ṙ and verify that it is antisymmetric.

17 Jun 2019: 1]. B C. A. D. 2. 5. Solve for x in the interval 0 6 x 6 π: cos 2x = sinx. ... 1]. Natural Sciences IA, Paper 1. 5. SECTION B. 11Z. (a) Use De Moivre’s theorem to express 8 cos(6θ) 15 sin(4θ) sin(2θ) in terms of cos θand