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MATHEMATICAL TRIPOS Part III Monday, 11 June, 2012 1:30 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2012/paper_28.pdf30 Aug 2019: EITHER : The Herbrand quotient and its role in norm index calculations for L/Ka cyclic extension of p-adic fields. -
MATHEMATICAL TRIPOS Part II Monday, 6 June, 2011 9:00 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2011/PaperII_1.pdf17 Jun 2019: ka = π α iγ. where, to leading order in 1/(U0a),. -
MATHEMATICAL TRIPOS Part II Alternative A Tuesday 5 June ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2001/PaperIIA_2.pdf17 Jun 2019: E =12(E0 E1 4A cos ka). 12. (E0 E1)2 16A2 cos2 ka. -
MATHEMATICAL TRIPOS Part IA Friday, 2 June, 2017 1:30 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2017/paperia_2_0.pdf17 Jun 2019: For all N, find integers ka(N) and kb(N)such that. kb(N). k=ka(N). -
MATHEMATICAL TRIPOS Part II Monday 5 June 2006 9 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2006/PaperII_1.pdf17 Jun 2019: Let. Q(k) = aR′ (a)R(a). kaj′ (ka)j(ka). Obtain the relation. tan δ =Q(k)j2(ka)ka. ... Q(k)n(ka)j(ka)ka 1. Suppose thattan δ. γ. k0 k,. for some , with all other δ small for k k0. -
MATHEMATICAL TRIPOS Part II Tuesday, 2 June, 2015 1:30 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2015/PaperII_2.pdf17 Jun 2019: tanh (κa). κa=. tan (ka δ0). ka. where κ2 = γ2 k2. -
MATHEMATICAL TRIPOS Part II Friday 9 June 2006 9 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2006/PaperII_4.pdf17 Jun 2019: If Ka are the components of a contravariant vector field and gab the componentsof a metric tensor, let. ... In a particular co-ordinate system (x1,x2,x3,x4), it is given that Ka = (0, 0, 0, 1),Qab = 0. -
MATHEMATICAL TRIPOS Part II 2005 List of Courses Number ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2005/list_II.pdf17 Jun 2019: MATHEMATICAL TRIPOS Part II 2005. List of Courses. Number TheoryTopics in AnalysisGeometry of Group ActionsCoding and CryptographyStatistical ModellingMathematical BiologyDynamical SystemsFurther Complex MethodsClassical DynamicsCosmologyLogic and -
MATHEMATICAL TRIPOS Part IB Friday 8 June 2001 1.30 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2001/PaperIB_4.pdf17 Jun 2019: cosh kx cosh ka),. where k is a constant such thatlk = 2 sinh ka. -
MATHEMATICAL TRIPOS Part IB Wednesday 5 June 2002 1.30 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2002/PaperIB_1.pdf17 Jun 2019: Sketch the ground state energy eigenfunction χ(x) and show that its energy isE =. 2k2. 2m , where k satisfies. tan ka = k2mV0. 2 k2.
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