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8 Feb 2001: The new axiom states that there is some positive theta such that a line through x fails to meet L if and only if it makes an angle with M of ... In particular, as you approach the edge of the disc, distances in the new metric become very large relative

22 Oct 2001: New York: Springer–Verlag, 1973. [5] J.-P. Serre. Galois cohomology. Springer–Verlag Berlin Heidelberg, 1997. ... 6] J.H. Silverman. The Arithmetic of Elliptic Curves. New York: Springer–Verlag, 1986.

9 Nov 2001: then find a new s bigger than all of them, which I could call s. ... s. 3. <. and so on, but then I would construct an r bigger than all of those, and construct a new sequence from that.

30 Nov 2001: c′n} be new bases of V andW respectively. Let P and Q represent the bases changes; i.e.,. ... Let µ be any scalar and Bi,j(µ) be the matrix obtained by taking Inand adding µ times the jth column to the ith column to form a new ith.

23 May 2001: then construct a new sequence v in such a way that the first two terms of v mean that it is not a multiple of v.

13 Dec 2001: Notice that a function with strictly positive derivative is locally strictly increasing in this new sense, so let us return to our argument. ... By the new definition of locally strictly increasing, we can find a c > 0 such that f(t) < f(u) for every t

12 Oct 2001: The Cassels-Tate Pairing and thePlatonic Solids. Tom FisherDepartment of Pure Mathematics and Mathematical Statistics. University of CambridgeCentre for Mathematical Sciences. Wilberforce RoadCambridge CB3 0WB. E-mail: T.A.Fisher@dpmms.cam.ac.uk.

7 Nov 2001: Now, given a term in this sequence, you cannot always get the next one by simply putting a new digit on the end, because sometimes you have to modify one or