Italy: Day 11
Jan. 4th, 2011 10:39 pm![Day 11: A Meterological Quandary [ drawing of a group of umbrellas in rain ] T = total rainfall, Ru = rainwater under umbrellas, Ro = rainwater outside umbrellas. Bizarrely, dRu > dRo as T increases [ graph of T (x axis) against R (y axis), with lines for T, Ru, and Ro. T is a straight 45 degree line, and the R lines are parabolic curves under it, with Ru increasing in slope and eventually overtaking Ro ]](https://farm6.static.flickr.com/5046/5326445660_d28ce0e184.jpg)
Have you ever been in a crowded space with a lot of umbrellas? What ends up happening is that all of the rainwater slides down each umbrella's edge and bypasses the other umbrellas. The end result: rainwater everywhere and a lot of ducking to avoid getting stabbed in the face with an umbrella.
You could probably do an extended version of this graph that also takes into account the sudden, bizarre appearance of Dibbler-esque umbrella vendors out of nowhere as soon as the first drops of rain appear, but I suspect you'd need Riemann geometry to do so, so I will leave that as an exercise for the reader.
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