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The point goes round and round the unit circle and the pretty colors show sine and cosine, then tangent and secant and all the rest.

I'm lifting weights because I'm over sixty, in poor health, and trying to avoid becoming frail. I've got a little routine with dumbbells, nine different exercises, mostly trying to cover all the complicated muscles and tendons that hold the shoulder joint together.

I've been picking a weight light enough that I can manage 7 repetitions. Work my way up to 12. Then go back to 7 but with a slightly heavier weight. I've made a little progress. With several of my exercises I can manage 12 repetitions quite comfortably.

Should I (1)go for more repetitions (for stamina) or (2)down to 7 but heavier, (for strength) or (3)save my energy for gardening/life/whatever?

This video provides an answer: the range, seven to twelve repetitions, is heavy enough to set the osteoblasts to work and maintain bone density. If you can manage more than twelve repetitions, your weight is a little light for promoting bone density.

That gives me my answer. I'm trying to set the osteoblasts to work, so it is option 2 - a little heavier.

Gore tag because of the anatomical specimens. No blood, broken bones, or fatalities, so not gore if you can overlook the flayed corpses.

Dijksta's algorithm for finding the shortest path in a weighted graph. Even if you don't care about graph theory, you should still watch the video to enjoy the quality of the explanation. Sure it is pretty, but the merits go well beyond that. Notice how the example is small, but just big enough to include the tricky cases of the algorithm. Even the asides are beautifully done; when the narrator talks about using a priority queue, the little animation does the right heap percolation thing :-)

Book 2 of the Well Tempered Klavier: Prelude and fugue no. 12 in F minor BWV 881

I usually prefer the piano, put this instrument has a lovely tone. Also Christine Schornsheim played very precisely, avoiding the problem that the sharp attack of the harpsichord makes tiny errors of timing into unmusical raggedness. Plus skillful baroque ornaments that are fun and cool.

Scriabin writes too many notes. Kristina Miller plays all of them very clearly, not forgetting to make the quiet, slow ones achingly beautiful.

Oh! That is how it is meant to go, Scriabin composed it just right :-)

In 1984 Bob Geldof pulled together a band of famous musicians to sing a song “Do They Know It’s Christmas.” to raise money for famine relief. This nostalgic article gets off to a slow start, remembering the British background to the charity song. Then it takes a dark turn into Ethiopia's communist regime doing what communists do best: create famine.

Eulerian = grid. Lagrangian = particles

Straight into the details with a staggered grid. Good diagrams and explanations of the underlying ideas. Links to JavaScript code.

You think that you have read this story before, but that is not quite right

> An initial effort to pass a new criminal code in 2019 prompted nationwide protests. Tens of thousands of people demonstrated against the plan over concerns of civil liberties.

> Critics charge that few changes to the codes have occurred since then, meaning that it will largely resemble the very set of laws that sparked the protests.

I'm reading between the lines. Upper line:

> Only certain parties, such as close relatives, can report the crime, which will carry a sentence of up to one year in jail.

Lower line:

> Clauses related to morality, she added, would “do more harm than good,” especially for businesses engaged in the tourism and hospitality sectors.

What I'm seeing is that the proposed changes are small. In the big cities the relatives of young couples that have premarital sex either won't get told, or won't kick up a fuss. The issue is when a father finds that his daughter is being pimped out to western sex tourists. Then, as a close relative, he has standing to report the crime. And that is what is worrying business interests.

Piano solo performed by Benjamin Grosvenor

I'd never heard of him, which seemed odd, because the lyricism and control were outstanding, so I had a little search https://en.wikipedia.org/wiki/Benjamin_Grosvenor Turns out he is famous, I'm just not keeping up :-(

I thought that ornithopters never worked. Sure they are possible in principle, birds prove that, but power to weight ratios, vibration, stability and control...

I was surprised to see the rather amateur effort flying very well.

Splendid rant, psychologizing religions. Judaism is "neurotic", Christianity is "masochistic", Islam is all the cluster B's. Anti-social, histrionic, narcissistic, and of course Borderline!

I've never been one for macrocosm/microcosm stuff, but this does fill in the details, with religious groups behaving in ways that parallel problems in individual psychology.

I'm noticing that people over invest in the way they were brought up. If a normie grows up with stable paper money, they grow up to believe that banknotes are intrinsically valuable and that the government can create wealth by printing money. If a normie grows up with safe and effective vaccinations for dangerous childhood illnesses, they grow up to believe that things labelled "vaccine" are inherently safe and effective and are always given to children, even in the absence of childhood illness.

And that is spilling over into my attitude to religion. Not "true" or "false" but "what kind of upbringing goes with which religion". So the video chimed with my current thoughts.

The speaker traces a three step evolution from Marxism to wokeness.

Beyond the inherent interest, the video is also a master class in getting to the point and presenting a complicated argument crisply with well chosen supporting detail.

Partygate reveals that the politicians didn't believe in the rules that they were making. We should be less shocked that they broke rules that they didn't believe in, and more shocked that they made rules that they didn't believe in.