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2 Aug 2003: Two millennia later the new theory of mechanics and the new methodof mechanics enabled mathematicians to write down a model for a vibratingstring. ... rise to new setof questions and answers but for the moment let us take the most obviousinterpretation

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.

5 Nov 2003: definitions. A binary operation defined on a set A is something you can put in between two elements of A to make a new element of A.

19 Feb 2003: Each of these characterizations gives a new insight into geom-etry and dynamics. ... In fact, Theorem 1.10 gives a new, more geometric way of looking at thisquantity (cf.

3 Sep 2003: So if we ever want to define a new number by one of these arguments, we can. ... Doesn't that give a new, and defined, number? M. I told you we were getting into murky waters.

11 Mar 2003: THE ASYMPTOTIC MASLOV INDEXAND ITS APPLICATIONS. GONZALO CONTRERAS, JEAN-MARC GAMBAUDO,RENATO ITURRIAGA, AND GABRIEL P. PATERNAIN. Abstract. Let N be a 2n-dimensional manifold equipped with a symplecticstructure ω and Λ(N) be the Lagrangian