Thinking about last evening’s movie, A Beautiful Mind, let me to thinking about mathematicians and mathematics in general which led me to The World of Mathematics Volume Four: A small library of the literature of mathematics from A’h-mose the Scribe to Albert Einstein Presented with some commentaries and notes (1956).
In a short essay, “Assorted Paradoxes” by Augustus De Morgan, I came across something I’d never heard of before. In addition to being the ratio of circumference to diameter, π is “thousands of things besides.” For example,
π/2 = 1 – 1/3 + 1/5 – 1/7 + 1/9 – 1/11 …
π-3/4 = (1/2⋅3⋅4) – (1/4⋅5⋅6) + (1/6⋅7⋅8) …
π/2 = (2⋅2⋅4⋅4⋅6⋅6⋅8 …) / (1⋅1⋅3⋅3⋅5⋅5⋅7 …)
Crazy, isn’t it?
And now, back to checking the charge on all of my power stations, battery packs, flashlights, and assorted gizmos that like electrons. Because, sure. Why not? Potentially severe weather in the long-term forecast. It’s April.