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.
3 Comments | tags: charts, fractions, graphs, rational numbers | posted in Brain Bubble, Math
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.
8 Comments | tags: charts, COVID-19, graphs | posted in Politics, Society, Wednesday Wow
It’s that time for a reflective reviewing the previous year. On a personal level, it’s been an interesting year, a year of some changes with more ahead. I may (or may not) talk about that more down the road. I’ve already shared some of the more mundane ones. I’m still chewing on some of the more personal ones.
As a blog post, it makes sense to do a blog review, as self-indulgent as they are. This is more a milepost for me; a sort of year-end report to the board — see if it’s worth funding another year. (Technically, the Blog Year starts on July 4, with year zero being 2011. The blog is now seven-and-a-half; 741 posts tall. Plus it just grew one more.)
Stick around if you want, but it’s gonna be long, dry, and narcissistic…
23 Comments | tags: 2018, blog, blogging, charts | posted in Basics