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  2. The Cauchy-Schwarz inequality

    https://www.dpmms.cam.ac.uk/~wtg10/csineq.html
    4 Oct 2001: Only Apostol (Mathematical Analysis, p.20 exercise 1-15) and Jeffreys and Jeffreys (Methods of Mathematical Physics, 3rd Ed.

  3. Descent Calculations forthe Elliptic Curves of Conductor 11 Tom ...

    https://www.dpmms.cam.ac.uk/~taf1000/papers/desc11.pdf
    22 Oct 2001: S(A0 A1/K1) S(A0 A1/K1) Q/Z. (17). 20. As a G-module we have. ... 20). Lemma 6.8 The pairings Ψ1 and Ψ2 have ranks 0 and 4 respectively.

  4. Galois Theory Dr P.M.H. Wilson1 Michaelmas Term 2000 1LATEXed ...

    https://www.dpmms.cam.ac.uk/study/II/Galois/Galois.pdf
    24 Oct 2001: 19. 4.4 The Galois correspondence. 20. 4.5 Galois groups of polynomials. ... 20. Conclusion. The operations. H G 7 F LH LAut(L/M ) G [ F M L.

  5. 1 Linear Mathematics Lent Term 2002. My purpose here ...

    https://www.dpmms.cam.ac.uk/~amwg/Linear2002/Linear.pdf
    30 Nov 2001: 20 CHAPTER 1. VECTOR SPACES AND LINEAR MAPS. -7. Show that if U is a proper subspace of the finite dimensionalvector space V , then dim(U) < dim(V ). 8. Let ... 20. Let V ′ and W ′ be subspaces of vector spaces V and W respec-tively.

  6. The Cassels-Tate Pairing and thePlatonic Solids Tom FisherDepartment…

    https://www.dpmms.cam.ac.uk/~taf1000/papers/ctp.pdf
    12 Oct 2001: Theorem 2. There is an alternating bilinear pairing. X(E/K) X(E/K) Q/Z (20). ... 20 L. 20 the case ν = 0 may be deduced from Proposition 1.4.

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