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  2. TOPICS IN SET THEORY: Example Sheet 4 1 Department ...

    https://www.dpmms.cam.ac.uk/study/III/2014-15/TopicsinSetTheory/TST%20Example%20Sheet%204%202014.pdf
    19 Dec 2014: M[H] such that M[H] |= (20 = λ and there is a Suslin tree).(iv) Suppose that M |= (P is a c.c.c. ... MM requires a large cardinal axiomfor its consistency. 20 Optional. Normal Functions and Mahlo Cardinals.
  3. Numbers and Sets (2014–15) Example Sheet 3 of 4 ...

    https://www.dpmms.cam.ac.uk/study/IA/Numbers%2BSets/2014-2015/examples-NS-14-3.pdf
    11 Nov 2014: Evaluate 1000! (mod 10249). 7. Without using a calculator, evaluate 20!2120 (mod 23) and 1710000 (mod 30).
  4. Michaelmas Term 2014 SJW Linear Algebra: Example Sheet 2 ...

    https://www.dpmms.cam.ac.uk/~sjw47/LinAlg14-2.pdf
    27 Oct 2014: 5. Find the eigenvalues and give bases for the eigenspaces of the following complex matrices: 1 1 00 3 20 1 0.
  5. Michaelmas Term 2014 SJW Linear Algebra: Example Sheet 2 ...

    https://www.dpmms.cam.ac.uk/study/IB/LinearAlgebra/2014-2015/lin_alg-14-2.pdf
    27 Oct 2014: 5. Find the eigenvalues and give bases for the eigenspaces of the following complex matrices: 1 1 00 3 20 1 0.
  6. Part II Galois theory (2014–2015) Example Sheet…

    https://www.dpmms.cam.ac.uk/study/II/Galois/2014-2015/galois-2014-exa-1.pdf
    20 Oct 2014: Show that|HomF (L,E)| 1 for every extension F E. (20) Let K L be a finite field extension inside C.
  7. TECHNIQUES IN COMBINATORICS – LECTURE NOTES W. T. GOWERS ...

    https://www.dpmms.cam.ac.uk/study/III/2014-15/TechniquesinCombinatorics/techniques2014notes.pdf
    20 Oct 2014: 20 W. T. GOWERS. From this it follows that there exist vertices x′ X and y′ Y such that.
  8. Numbers and Sets (2014–15) Example Sheet 1 of 4 ...

    https://www.dpmms.cam.ac.uk/study/IA/Numbers%2BSets/2014-2015/examples-NS-14-1.pdf
    14 Oct 2014: 2. Between 0 and 10 there are four primes. Another example of two consecutive multiples often, between which there are four primes, is 10 and 20.
  9. RANKS OF QUADRATIC TWISTS OF ELLIPTIC CURVES by Mark ...

    https://www.dpmms.cam.ac.uk/~taf1000/papers/rankcongr.pdf
    13 Oct 2014: log d, with the speculation then being phrasedin a simple form (though see Footnote 32, and compare [20]). ... 5 10 15 20 25 30. Figure 2. Comparison of F̂ (t) and B̂10(t) for larger values of t.
  10. Part III - Algebraic Geometry, Michaelmas 2013.

    https://www.dpmms.cam.ac.uk/~pmhw/AG2013Notes.pdf
    10 Oct 2014: Local vanishing principle 42Lecture 20 4520.1. Cohomology of An/{0} and Pn 46Lecture 21 4721.1. ... 20. Lecture 9. 8.1. Case of reducible varieties. For V An any affine variety, we definethe regular functions dfn:regular-functionon V to be the polynomial
  11. Part IIB Algebraic Curves Course 1998 pmhw@dpmms.cam.ac.uk…

    https://www.dpmms.cam.ac.uk/~pmhw/AlgC98.pdf
    3 Oct 2014: 2g(V ) 2 = n(2g(W) 2) PV. (eP 1). 20. This result enables us to interpret the genus topologically (non-examinable).

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