SMS scnews item created by Gareth White at Mon 27 Apr 2009 1633
Type: Seminar
Distribution: World
Expiry: 29 Apr 2009
Calendar1: 29 Apr 2009 1300-1400
CalLoc1: Carslaw 452
Auth: garethw@asti.maths.usyd.edu.au

# SUMS Meeting: Guo -- Farey Fractions (continued)

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
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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