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MATHEMATICAL TRIPOS Part III Monday, 13 June, 2011 9:00 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2011/paper_56.pdf30 Aug 2019: S = 12. (. F F kA F F). (1). where F is a four-form and A a three-form such that F = dA, and k is a constant. -
MAMA/309, NST3AS/309, MAAS/309 MAT3 MATHEMATICAL TRIPOS Part III…
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2023/Paper_309.pdf12 Jul 2023: iii) State Killing’s equation. Show that if Ka is a Killing vector, then Ja = TabKb. -
MATHEMATICAL TRIPOS Part III Thursday, 31 May, 2018 9:00 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2018/paper_309.pdf30 Aug 2019: ii) Let Ka be a solution to the Killing equation (aKb) = 0. -
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 III Monday, 4 June, 2012 9:00 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2012/paper_56.pdf30 Aug 2019: akb > 0 for any null vector ka. Show that, if the above metric satisfies the Einsteinequation with an energy-momentum tensor satisfying the null energy condition then. -
MATHEMATICAL TRIPOS Part III Friday, 9 June, 2017 9:00 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2017/paper_311.pdf30 Aug 2019: M =3. 32πlim. r. dk ,. where ka = (/t)a. The integral is taken over a constant t ,r surface at infinityand the orientation is dt dr dψ dθ dφ. -
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. -
MAT3, MAMA MATHEMATICAL TRIPOS Part III Wednesday, 5 June, ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2019/paper_335.pdf30 Aug 2019: MAT3, MAMA. MATHEMATICAL TRIPOS Part III. Wednesday, 5 June, 2019 1:30 pm to 3:30 pm. PAPER 335. DIRECT AND INVERSE SCATTERING OF WAVES. Attempt no more than TWO questions. There are THREE questions in total. The questions carry equal weight. -
MATHEMATICAL TRIPOS Part III Friday, 8 June, 2018 9:00 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2018/paper_311.pdf30 Aug 2019: MKomar(r) = 1. 8π. S2r. dk,. where ka = (/t)a. The integral is taken over a constant t ,r surface and theorientation is dtdrdθdϕ. -
MATHEMATICAL TRIPOS Part IB Friday 8 June 2001 9 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2001/PaperIB_3.pdf17 Jun 2019: Let K denote the 2n2n matrix with n copies of J1 on the diagonal,and zeros elsewhere, and suppose that KA = AK.
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