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  2. MATHEMATICAL TRIPOS Part II Alternative A Tuesday 5 June ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2001/PaperIIA_2.pdf
    17 Jun 2019: E =12(E0 E1 4A cos ka). 12. (E0 E1)2 16A2 cos2 ka.
  3. MATHEMATICAL TRIPOS Part III Monday, 4 June, 2012 9:00 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2012/paper_56.pdf
    30 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.
  4. MATHEMATICAL TRIPOS Part III Friday, 9 June, 2017 9:00 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2017/paper_311.pdf
    30 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.
  5. MATHEMATICAL TRIPOS Part IB Wednesday 5 June 2002 1.30 ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2002/PaperIB_1.pdf
    17 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.
  6. MAT3, MAMA MATHEMATICAL TRIPOS Part III Wednesday, 5 June, ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2019/paper_335.pdf
    30 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.
  7. MATHEMATICAL TRIPOS Part IB 2010 List of Courses Analysis ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2010/PaperIB_all.pdf
    17 Jun 2019: Giventhat. 〈x〉 = 12k. (ka tan ka),. discuss briefly the possibility of 〈x〉 being greater than a. ... Hint: consider the graph ofka cot ka against ka.]. Part IB, 2010 List of Questions.
  8. MATHEMATICAL TRIPOS Part IB Friday 8 June 2001 9 ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2001/PaperIB_3.pdf
    17 Jun 2019: Let K denote the 2n2n matrix with n copies of J1 on the diagonal,and zeros elsewhere, and suppose that KA = AK.
  9. MATHEMATICAL TRIPOS Part III Friday, 8 June, 2018 9:00 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2018/paper_311.pdf
    30 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.
  10. MATHEMATICAL TRIPOS Part II Wednesday, 2 June, 2010 9:00 ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2010/PaperII_2.pdf
    17 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.
  11. MATHEMATICAL TRIPOS Part IB List of Courses Linear…

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2002/list_IB.pdf
    17 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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