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  2. MATHEMATICAL TRIPOS Part III Thursday, 28 May, 2009 1:30 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2009/Paper7.pdf
    30 Aug 2019: 2. 1 (i) If A > 0 and N is a positive integer, define KA,N : T2 R by. ... and1. (2π)2. T2. KA,N (s, t) ds dt = 1. By considering functions of the form.
  3. MATHEMATICAL TRIPOS Part IB Wednesday, 2 June, 2010 1:30 ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2010/PaperIB_2.pdf
    17 Jun 2019: c k cot ka = 0. Find the minimum value of V0 for this equation to have a solution. ... Giventhat. 〈x〉 =1. 2k(ka tan ka),. discuss briefly the possibility of 〈x〉 being greater than a.
  4. 2017 CMP Academic Project Proposals | Summer Research Programmes

    https://www.maths.cam.ac.uk/opportunities/careers-for-mathematicians/summer-research-mathematics/2017-academic-proposals
    20 May 2024: University of Cambridge. Li Ka Shing Centre. Robinson Way. Cambridge. CB2 0RE. ... University of Cambridge. Li Ka Shing Centre. Robinson Way. Cambridge CB2 0RE.
  5. MATHEMATICAL TRIPOS Part III Friday, 10 June, 2022 1:30 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2022/paper_354.pdf
    4 Aug 2022: D,Pa] = iPa, [D,Ka] = iKa,[Pa,Mbc] = i(δabPc δacPb), [Ka,Mbc] = i(δabKc δacKb),[Ka,Pb] = 2i(δabD Mab),. ... Mad,Mbc] = i(δabMcd δacMbd δbdMca δcdMba). with D, Mab, Pa and Ka being the generators of dilations, rotations, translations, andspecial
  6. 2016 CMP Academic Project Proposals | Summer Research Programmes

    https://www.maths.cam.ac.uk/opportunities/careers-for-mathematicians/summer-research-mathematics/2016-academic-proposals
    20 May 2024: Lab/Department. Tavaré Lab/CRUK CI. Address. Cancer Research UK Cambridge Institute University of Cambridge Li Ka Shing Centre Robinson Way Cambridge CB2 0RE. ... Martin Miller, Cancer Research UK, Cambridge Institute, University of Cambridge, Li Ka
  7. MATHEMATICAL TRIPOS Part IB Tuesday, 5 June, 2012 9:00 ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2012/PaperIB_1.pdf
    17 Jun 2019: Let. KA = {X Mnn(R) | [A, X] = 0}LA = {[A, X] | X Mnn(R)}. ... Show that KA and LA are linear subspaces of Mnn(R). If A and B are similar, showthat KA = KB and LA = LB.
  8. MATHEMATICAL TRIPOS Part III Thursday 31 May 2007 1.30 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2007/Paper61.pdf
    30 Aug 2019: Show that a Killing covector ka satisfies. ka;bc = Rabcdkd. A spacetime is said to be static if it possesses a timelike Killing covector ka whichis hypersurface-orthogonal. ... with ρ p > 0 then the fluid 4-velocity ua is parallel to ka. [
  9. 2016 CMP Industrial Project Proposals | Summer Research Programmes

    https://www.maths.cam.ac.uk/opportunities/careers-for-mathematicians/summer-research-mathematics/2016-industrial-proposals
    20 May 2024: Company Name. AstraZeneca. Address. Li Ka Shing Centre (Cambridge Institute), Robinson Way, Cambridge CB2 0RE, U.K.
  10. MATHEMATICAL TRIPOS Part II Alternative A Wednesday 4 June ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2003/PaperIIA_2.pdf
    17 Jun 2019: A Killing vector field Ka of a metric gab satisfies. Ka;b Kb;a = 0. ... Hence show that a constant vector field Ka with one non-zero component, K4 say, is aKilling vector field if gab is independent of x4.
  11. MAMA/312, NST3AS/312, MAAS/312 MAT3 MATHEMATICAL TRIPOS Part III…

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2023/Paper_312.pdf
    12 Jul 2023: Compute PHintP and use it to derive. 〈[Hint,n. a. φa(ka)]〉 = 2 Re〈Hintn. ... a. φa(ka)〉. (ii) Then, use the in-in formalism to derive a time integral expression for 〈na φa(ka)〉to linear order in λ.

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