A place to show some of the odd/weird stuff I run across, especially holidays.
Holidays 2021-03-22
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Holidays today are about sustainable freshwater resources, goofing off, drawing attention to the cruelty of seal hunts, feeling young even if you're not, and Bavarian crepes:
Though attracting attention to seal hunting was the main inspiration behind the International Day of the Seal, I'm going to provide a non-hunting seal picture.
As I'm wont to do, here's another of my yearly reviews. It's at least a weak attempt to stay in touch with many of you that I rarely see in person. As I explain every year , the main downside is that I really don't do very much. And much of what I do is not particularly interesting. If any of you nod off during this, at your age you probably needed the rest anyway. If you're wondering, that's dinosaur ... wearing an Ankylosaurus hoodie Health : Barring a knee replacement, I can't imagine I'll ever have a truly healthy knee, though my impression is that it was somewhat less troublesome this year. I have 2 amateurish theories about that: Perhaps the collagen supplements I've been taking in recent years has mitigated the knee problems a bit. I've also wondered whether they've slowed down my hair loss a little. It's kind of hard to say. Maybe, just maybe, I've done a better job of backing off my morning jogging when the knee starts to bec...
Another year, another boring summary of that year's trip around the sun. (For those struggling with insomnia, I have a series of these: 2024 , 2023 , 2022 .) Here's this year's picture, meant to suggest that it's been relatively cold here this winter. (I actually do dress like this on especially cold days; the key to staying warm is "layers, layers, layers".) Health : My knee and back continue to cause sporadic issues but they don't normally prevent me from doing much. I somehow managed to hurt my hip. I'm not sure how it happened; my best guesses are pulling stubborn weeds out of the ground or trying to open a sliding glass door that doesn't slide very well. On the bright side, staying away from the door and with no wintertime weed-pulling activities, the hip issue seems to have (temporarily?) gone away. As I'm wont to do, I got flu and COVID vaccinations in the autumn, and (thus far) I haven't gotten sick this season. (I do worry that thi...
Happy Catalan Numbers Day! Catalan numbers are a sequence of numbers that represent the counts of several mathematical concepts. They're named after Eugene Charles Catalan , a French-Belgian mathematician who worked on number theory and combinatorics . One of the things Catalan numbers count are the number of Dyck words, which are words consisting of X's and Y's which: Consist of an equal number of X's and Y's, And where all beginning sub-words have their number of X's greater than or equal to their number of Y's. For example, XYXY is a Dyck word because XYX, XY, and X are all beginning sub-words where there are at least as many X's as Y's. But XYYX is not a Dyck word because XYY is a beginning sub-word where there are more Y's than X's. Note that if you substitute "(" for X and ")" for Y, Dyck words constitute a valid sequence for arithmetic or regular expressions. Here are the smallest Dyck words. This video provides...
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