Type: Seminar

Distribution: World

Expiry: 29 Apr 2009

Auth: garethw@asti.maths.usyd.edu.au

Hello all, Thankyou to everybody who turned up to the Cake Bake, it was by far our most successful one for a long time. We had 6 delicious and creative cakes, and indeed I would like to thank all of our bakers (Sean, Anna C, Anna W, Jenny who baked 2, and Duncan) for doing such a good job. I hope you enjoy spending your Coles vouchers. Also thankyou very much to Leon Poladian, Laurentiu Paunescu, Sonia Morr and David Easdown for judging the cakes and coming up with their own categories! Much appreciated. Hopefully we will upload the photos of the cakes to the SUMS website shortly. This week we are returning to talks again. In fact, our next speaker is somebody who has already given a talk this year, Ivan Guo. It turns out that there was so much stuff that he didn’t have time to show us last time around, that he wants to give us another talk of it! So he is continuing on with his discussion of Farey Fractions. Note, however, that you do NOT need to have gone to the first Farey Fractions talk to be able to understand this one. In fact, you probably don’t even need to know the definition of the related Ford Circles: "In mathematics, a Ford Circle is a circle with centre at (p/q, 1/(2q2)) and radius 1/(2q2), where p/q is an irreducible fraction, i.e. p and q are coprime integers. The Ford circle associated with the fraction p/q is denoted by C[p/q] or C[p, q]. If p/q is between 0 and 1, the Ford circles that are tangent to C[p/q] are precisely those associated with the fractions that are the neighbours of p/q in some Farey sequence." in order to follow this week’s talk. In any case, be there (please)! Talk: Farey Fractions (continued) Speaker: Ivan Guo Date/Time: Wednesday, April 29, 1-2pm Location: Carslaw 452 SUMS President "Osama bin Laden is either alive and well or alive and not too well or not alive." - Donald Rumsfeld (sorry, don’t like to repeat sources, but couldn’t be stuffed finding something else).

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