Tag Archives: graphs

BB #85: More Fraction Fun

I don’t know why I’m so fascinated that the rational numbers are countable even though they’re a dense subset of the uncountable real numbers. A rational number can be arbitrarily close to any real number, making you think they’d be infinite like the reals, but in fact, nearly all numbers are irrational (and an uncountable subset of the reals).

So, the rational numbers — good old p/q fractions — though still infinite are countably infinite (see this post for details).

More to the point here, a common way of enumerating the rational numbers, when graphed results in some pretty curves and illustrates some fun facts about the rational numbers.

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Friday Notes (Nov 19, 2021)

It’s time for another edition of Friday Notes, a dump of miscellaneous bits and ends. (Or do I mean odds and pieces? Odd bits and end pieces? Whatever. Stuff that doesn’t rate a blog post on its own, so it gets roped into a package deal along with other stray thoughts that wandered by.)

There’s no theme this time, the notes are pretty random. Past editions have picked the low-hanging fruit, and the pace has slowed. I’ve managed to whittle away a good bit of the pile.

Maybe some day no more notes and my blog will be totally in real time!

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Infection Wow

The Wednesday Wow posts have been a bit off the beam recently. Four weeks ago we were wowed (but not in a good way) by an incited insurrection by an incompetent imbecile. Two weeks ago we were wowed (in a great way) by the inclusive Inauguration of the incoming Individual.

With all that more or less behind us, I have time to be wowed by interesting (and depressing) information about the insidious infection infesting the country and the world. I mention both because I became intrigued by difference between them.

It all started when I noticed the COVID-19 graphic on CNN.

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