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Explains the engineering problem that caused the collapse. Takes me back to my Applied Mathematics A-level (a Britbong qualification for 18 year olds). Here is the pin jointed framework, work out the forces.

But the original design was impractical to make, and the changes to make it practical looked like it would be just as strong...

Digs into the details of how the Untied Kingdom calculates Gross Domestic Product and decides that it is (a) the seasonal adjustment to business investment (b) the temporary boost to exports to beat the new American Tariffs.

I had heard of the Dirichlet Function: zero at irrational points and one at rational points. It is an example of Riemann's definition of the integral not working. But I didn't know why anyone cared.

This video sketches out a sequence of Riemann integrable functions that converge to the Dirichlet Function. And makes the point: we would really like a definition of the integral that make the limit of a sequence of integrals agree with the integral of the limit of the sequence of functions.

The video doesn't get into the technical details of how the Lebesgue integral does this, but it makes it clear what motivated Henri_Lebesgue

Tedious pedant humour that escalates quickly

A bitter-sweet video that young people will not understand, but whatever ...

> You might say "Why do people drink too much?". If you like alcohol that is a stupid question. Why do people drink too much? Why? Cause its great. So why stop...

Peterson goes on to explain why stop (and a little on how) but that it not why this video stuck with me.

I quit drinking because I liked it too little. This video stuck with me because it solved a puzzle. Why do many people end up in trouble due to drinking alcohol? And the answers is that I'm weird; most people who quit, quit because they like it too much. And liking it too much leads to trouble. Peterson gets to the heart of the matter saying "Cause its great." I guess. I'll never really know.

> Four state agencies are also expected to be abolished, including the State Capital Management Committee. State media outlets have also been announced to close, including five public television channels, ten newspapers and nineteen magazines, in an attempt to cut costs.

I've seen the headline before, but the article has a little bit of detail. Enough that I think Vietnam really is attempting to become a little less communist.

This video has beautiful graphics underpinning an especially clear explanation. At just seven minutes it doesn't get on to Runge Spikes. I'm hoping to create original content about Runge Spikes and this will be the video I link to, to explain Lagrange Interpolation

After watching a YouTube video with only one fact (11.2 nanometers) I searched the web and worked my way back along the chain of Chinese Whispers to reach a Russian source. Using Google translate, this does seem to be genuinely interesting, albeit on a ten year time scale.

In the short term Russia might be managing home grown photo lithography at 350 nm next year, and the article says "The new laser will "pump up" it to 130 nm." Does that mean frequency doubling to get 130 nm light from 260 nm light? Or frequency tripling to get 130 nm light from 390 nm light? I'm still reading journalism, even if it is Russian :-(

The pieces that the video warns against are, Chopin Fantaise impromptu opus 66, Beethoven Moonlight Sonata third movement, Rachmaninoff Prelude opus 23 no 5, Chopin Etude opus 25 no 11 "Winter winds", La Campanella.

Well, that killed the click bait, but you still have to watch the video because the reasons he gives are interesting. I particularly appreciated the point that the three against four poly rhythm in the Fantaise impromptu takes forever to learn, so an amateur pianist will get frustrated and give up. That is not exactly what happened to me. I realized that Chopin has a specific three against four study, "Composées pour la Méthode des Méthodes de Moscheles et Fétis" so I switched to that. Then I became frustrated and gave up.

If you insist on having six degrees of freedom, the wobble in your joints and slides will compound on itself and kill your repeatability. What to do? This beast from the university of Twente cheats - no bearings, no slides, it is all "flexures": bits that bend. The ball joints are really three nested flexures with the bend lines intersecting at the centers of the imaginary sphere. The bearings for the motors are also missing. The motors only turn 60 degrees and are mounted on butterfly flexures instead.

Maybe this will end up being used in semi-conductor manufacturing, where sub-micron repeatability matters.