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  2. A quick introduction to countability

    https://www.dpmms.cam.ac.uk/~wtg10/countability.html
    26 Nov 2003: 1. ,A. 2. ,. of subsets of N, define a new set A by the condition that n belongs to A if and only if n does not belong to A.
  3. Riemannian Geometry (L24) Gabriel P. Paternain This course is ...

    https://www.dpmms.cam.ac.uk/~gpp24/rgeo04.pdf
    19 Dec 2003: 1. Reading to complement course material. 1. P. Petersen, Riemannian Geometry, Graduate Texts in Mathematics, Springer-Verlag,New York, 1998.
  4. A counterexample to a conjecture of Selmer Tom Fisher ...

    https://www.dpmms.cam.ac.uk/~taf1000/papers/ceselmer.pdf
    4 Mar 2003: symmetric rather than alternating. Lemma 5.2 does not apply. 6 A new example. ... Koblitz, Introduction to elliptic curves and modular forms, GTM 97.Springer-Verlag, New York, 1993.
  5. premon.dvi

    https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2002/bh02.pdf
    26 Jun 2003: M. Pitts. New foundations for fix-point computations: FIX-hyperdoctrines and the FIX-logic. ... 20] R. Paterson. A new notation for arrows. In Proceed-ings of the International Conference on Functional Pro-gramming.
  6. 19 May 2003: If you invent a new proof, first check itagainst Example 4.12 and then get your supervisor to check it.
  7. Doron Zeilberger's attitude to computer mathematics

    https://www.dpmms.cam.ac.uk/~wtg10/zeilberger.html
    26 Mar 2003: Suppose some definition leads to a new and thriving branch of mathematics. ... Such results then form a new body of statements, one layer deeper than the original axioms.
  8. Just-do-it proofs

    https://www.dpmms.cam.ac.uk/~wtg10/justdoit.html
    8 May 2003: Each time we look at a new row or column, we have chosen only finitely many of the terms in it, so we can make the rest 1 (for a row) ... way that each time one arrives at a new object, one has not made one's task impossible.
  9. PERIODIC ORBITS FOR EXACT MAGNETIC FLOWS ONSURFACES GONZALO…

    https://www.dpmms.cam.ac.uk/~gpp24/comfS03.pdf
    10 Sep 2003: In Appendix C, we present a new proof of Taimanov’s results usingGeometric Measure Theory. ... Ginzburg, New generalizations of Poincaré’s geometric theorem, Funct. Anal. Appl. 21 (1989).
  10. premonita.dvi

    https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2003/bh03.pdf
    21 Aug 2003: 3Lava now uses a modified version of Haskell with ‘observable sharing’: allowing new name. ... 28] R. Paterson. A new notation for arrows. In Proceedings of the International Conference onFunctional Programming.
  11. Abstract set theory

    https://www.dpmms.cam.ac.uk/~wtg10/settheory.html
    9 Jun 2003: If it were, then the diagonal argument would produce a new definable real number - contradiction.). ... In other words, the axioms give us rules that allow us to create new vectors from old ones.

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