Motorola M500 Manuel d'utilisateur Page 31

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M500 180 Page 29
Twenty-five years ago
From M500 33 & 34
John Parker—A goat is tethered to a point on the perimeter of a circu-
lar silo. The length of the rope just permits him to graze as far as the
diametrically opposite side of the silo. What is his grazing area?
Max Bramer—Given n + 1 positive integers all less than or equal to 2n,
prove that at least two must be coprime.
Datta Gumaste—If B is some branch of mathematics, it is essentially a
collection of theorems and their proofs, where each theorem is implied by
a statement assumed or proved to be true. Let C = {t : t is a proof of
a theorem}; U = {p : p is an axiom or definition}; R is implication ().
Then (C, R, U) satisfies the definition of art. But this shows that B, which
is any branch of mathematics, is an art, and hence mathematics is an art.
But when you are in love you do not need a proof. You simply love,
and in loving you are love.
‘Imagine the perplexity of a man outside time and space, who has lost his
watch, his measuring rod and his tuning fork.’—A. Jarry.
M500 Mathematics Revision Week-end 2001
JRH
The 27th M500 Society Mathematics Revision Week-end will be
held at Aston University, Birmingham over 14 – 16 September 2001.
Tutorial sessions start at 19.30 on the Friday and finish at 17.00 on
the Sunday. The Week-end is designed to help with revision and exam
preparation, and is open to all OU students. We intend to present most OU
maths courses. On the Saturday evening we have mathematical lecture by
our guest speaker, Professor Roger Webster of Sheffield University.
After the lecture Charles Alder is running a disco. In parallel and
for the less energetic we plan to organize a ceilidh. If you play a musical
instrument, please do remember to bring it with you.
See http://freespace.virgin.net/jeremy.humphries/sept.htm for full details
and an application form, or send a stamped, addressed envelope to
Jeremy Humphries, M500 Week-end 2001.
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