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  2. Is Cambridge biased?

    https://www.dpmms.cam.ac.uk/~wtg10/biased.html
    5 May 2004: It is because of this that such figures would not on their own be proof of bias at all. ... Another example shows this even more clearly. Of all school pupils who obtain an A, B or C at A'level, the proportion who get an A is significantly higher amongst
  3. 19 Oct 2004: n. 6. Assume that all entries of some power of A are positive. ... for all x G and allE B.
  4. 16 Nov 2004: In other words we can find c1 andc2 with a c1,c2 b and f(c1) f(t) f(c2) for all t [a,b]. ... f(b) f(a).(iv) If f ′(t) > 0 for all a < t < b then f(b) > f(a).
  5. M 2003 NUMBERS AND SETS – EXAMPLES SHEET 2 ...

    https://www.dpmms.cam.ac.uk/~wtg10/nasex2.pdf
    20 Oct 2004: 15. Is it true that for all positive integers a, b, c, d we have (a, b)(c, d) = (ac, bd)? ... Fn2 for all n > 2 (so eg. F3 = 2, F4 = 3, F5 = 5).
  6. Topics in Combinatorics W.T. Gowers, F.R.S. Lent 2004 1 ...

    https://www.dpmms.cam.ac.uk/~par31/notes/tic.pdf
    13 Nov 2004: iv)E(A, B) 1. 2|A||B|. c3N 2 for all A, B X.13. ... If A1, A2,. , Ar1, A MCand if B ( A with Ai Aj B for all i 6= j, then C B, from which itfollows that A1, A2,. ,
  7. Numbers and Sets - exercises for enthusiasts 1. W. ...

    https://www.dpmms.cam.ac.uk/~wtg10/enthusiast1.pdf
    11 Nov 2004: b) f (c) f (d) withx, y, z, w, a, b, c, d all at least 2003.10. ... What is the smallest number of calls that can bemade in such a way that, at the end, all the dons know all the gossip?
  8. 21 Oct 2004: f(x)| K for all f F and all x B(x0,δ). 7. ... A function f : B is said to be analytic on if there exists anf ′ : B such that, for all z.
  9. 27 Jan 2004: From the Corollary after Theorem B it follows that h(M) = 0 for all such surfaces,modulo the gap in the classification of surfaces of class VII. ... If this conjecture were true, the classification would be complete andTheorems B and E would cover all non
  10. Complex VariablePart III T. W. Körner June 9, 1999 ...

    https://www.dpmms.cam.ac.uk/~twk10/CV3.pdf
    5 Oct 2004: ii) If γ : [a,b] C{0} is continuous we can find a continuous functionγ̃ : [a,b] C such that expγ̃ = γ for all. ... ii) Find A and B such that g(s) = Aζ(s)B2sζ(s) for all <s > 1.
  11. The language and grammar ofmathematics 1 Introduction It is ...

    https://www.dpmms.cam.ac.uk/~wtg10/grammar.pdf
    7 Oct 2004: might be the set of all positive integers and B theset of all sets of positive integers. ... If this had not been clear fromthe context, then we could have used the symbolN, (which stands for the set of all positive integers)and started sentence (7) with

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