The second law of desk dynamics is a ruthless master.
I wasn’t familiar with Usage #2 until my mid-twenties. It comes from “form,” as in, “you’re manipulating the symbolic forms on the page, without necessarily ensuring that the manipulations make conceptual sense.”
The Mach 4
This sounds like a very painful razor to me. Like, there’s the direction of down my cheek, and the direction of across, but the next direction after that will consist of burrowing into my cheek… and I neither can nor wish to imagine the fourth direction.
Zorro vs. Zero
Harder to slash with your sword, but a much cooler conversation starter.
Boole’s Periodic Table
I thought there wasn’t suppose to be any memorization in math!
“The Social Network” needs a topology-themed sequel.
C’mon, right ant! Put it in perspective!
For what it’s worth, it can be tricky to identify, in any given scenario, whether you should be thinking about the percentage or the actual value. E.g., at the grocery store, should you buy more of an object than you planned because of a sale that lowers the unit price? Or should you stick to your original plan, which will have a lower absolute cost?
I mean connections like this conversation. But they’re meaningless, also like this conversation.
Intuition and Rigor
As with many things in mathematical mastery (skill vs. concept, technique vs. insight, standard procedure vs. creative solution) it’s not either-or. It’s both-and.
Evolution of Square
Mathematical archaeologists are just now coming across another transitional fossil called the rectangle. The phylogeny of squares is tricky!
Inspired by a true story. A horror story.
(For the record, 13 million seconds is just under 5 months. ACCURATE.)
I think about this a lot and have come to no definitive solution.
Maybe I should try to look it up instead of drawing comics about it, you say?
“Oh, a comic about hotdogs!” -Literally everyone’s reaction to seeing this picture
I find continued fractions very cool and rather mind-bending. They’d make for a fun slightly-off-the-beaten-path exploratory project for a high-schooler or undergrad.
I’m probably revealing too much of my own psychology here. As they say, Freud feeds on friends’ feuds.
Teaching vs. Comedy
I have since been informed that my teaching involves too few celebrity impressions.
It seems like a weird job to think professionally about things no one understands.
An astute commenter pointed out that this bizarre creature, although self-similar, is not really fractal for most definitions of fractal (e.g., shapes of non-integer dimension).
A Random Walk
Random walks in 2D are really weird. They return to their starting point with probability 1; the number of expected returns is infinite; but the expected time until the starting point is infinite.
I wanted to draw the y-axis with little arms and legs instead of numerals, but I’ll leave that to someone whose blog is “Math with Competent Drawings.”
Those who have seen me dance acknowledge that I’m getting pretty close.