Three Styles of Growth Early models of population growth represented the number of people as an exponential function of time, $latex \displaystyle N(t) = N_0 \exp(t/\tau) &fg=000000$ where $latex {\tau}&fg=000000$ is the e-folding time. For every period of length $latex {\tau}&fg=000000$, the population increases by a factor $latex {e\approx 2.7}&fg=000000$. Exponential growth was assumed by … Continue reading A Simple Growth Function
Month: November 2013
The Antikythera Mechanism
The article in this week's That's Maths column in the Irish Times ( TM033 ) is about the Antikythera Mechanism, which might be called the First Computer. Two Storms Two storms, separated by 2000 years, resulted in the loss and the recovery of one of the most amazing mechanical devices made in the ancient world. … Continue reading The Antikythera Mechanism
The Watermelon Puzzle
An amusing puzzle appears in a recent book by John A. Adam (2013). The answer is very surprising. The book argues in terms of simultaneous equations. A simpler argument, using the diagram below, should make all clear. The Watermelon Puzzle. A farmer brings a load of watermelons to the market. Before he sets out, he … Continue reading The Watermelon Puzzle
Euler’s Gem
This week, That’s Maths in The Irish Times ( TM032 ) is about Euler's Polyhedron Formula and its consequences. Euler's Polyhedron Formula The highlight of the thirteenth and final book of Euclid's Elements was the proof that there are just five “Platonic solids”. Recall that a regular polygon is a plane figure with all sides … Continue reading Euler’s Gem
