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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 III Monday 9 June 2003 1.30 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2003/Paper25.pdf30 Aug 2019: iii) Deduce from Plünnecke’s inequality that if A is a subset of an Abelian group,|A A| 6 C|A| and k, l are positive integers, then |kA lA| 6 -
MATHEMATICAL TRIPOS Part III Monday 9 June 2003 1.30 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2003/Paper56.pdf30 Aug 2019: MATHEMATICAL TRIPOS Part III. Monday 9 June 2003 1.30 to 4.30. PAPER 56. BLACK HOLES. Attempt THREE questions. There are four questions in total. The questions carry equal weight. You may not start to read the questions. printed on the subsequent -
MATHEMATICAL TRIPOS Part III Monday 9 June 2003 1.30 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2003/Paper74.pdf30 Aug 2019: b) When ka 1, approximate the dispersion relation by. D(k, ω) D approx(k, ω) 2ω 2ka 2k2a2. -
MATHEMATICAL TRIPOS Part III Monday 13 June, 2005 9 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2005/Paper62.pdf30 Aug 2019: kaakb = κkb. evaluated on the horizon, where ka is the time translation Killing vector. -
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 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 III Friday 9 June, 2006 9 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2006/Paper63.pdf30 Aug 2019: where ka is the Killing vector associated with time translations. Briefly describe why thisintegral should be proportional to the mass. -
MATHEMATICAL TRIPOS Part III Friday 6 June 2008 9.00 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2008/Paper65.pdf30 Aug 2019: MATHEMATICAL TRIPOS Part III. Friday 6 June 2008 9.00 to 12.00. PAPER 65. APPLICATIONS OF DIFFERENTIAL GEOMETRY TO PHYSICS. Attempt FOUR questions. There are SEVEN questions in total. The questions carry equal weight. STATIONERY REQUIREMENTSCover -
MATHEMATICAL TRIPOS Part II Wednesday, 2 June, 2010 9:00 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2010/PaperII_2.pdf17 Jun 2019: tan(ka δ0). ka=. tan κa. κa,. where κ2 = k 2 γ 2. ... Part II, Paper 2 [TURN OVER. 22. 36B General Relativity. A vector field ka which satisfies.
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