Written a bit more explicitly (although I kinda handwaved away the final term--the point is that you end up with one unpaired term which goes to zero)
edit: I was honestly confused about how exactly this related to the question, but seeing the comment from @[email protected] (not visible from Hexbear) which showed that the first sum in the image is equivalent to
the sum from n = 1 to ∞ of 2/(n * (n + 1))
made things clear (just take the above, put 2 in the numerator, and you get a result of 2)
Obligatory Gianni Matragrano version (couldn't find the original on his channel, idk if it's from another platform or the video is no longer available or what)
Facebook (when that was still a platform young people used). I would obsessively scroll through it for hours each day, basically trying to look at and comment on EVERYTHING. On a whim, I decided to take a break from it for a month. By the time the month was up, I realized I didn't miss it at all, and that was that. One of the big takeaways was that I thought that I was forming relationships with the people I'd comment back and forth with, but in reality these were people who I would never hang out with outside of school and barely even talk with in school (if at all); it was all just superficial, and I was better off spending time talking to my actual friends.
It wasn't that bad, but in high school I mindlessly got into the habit of drinking a few cups of Coke each day (I think it started because I would get a 2 liter whenever I'd order pizza). I quit it pretty much cold turkey, and not only did I stop drinking it at home, I no longer order it at restaurants either, which is something I did ever since I was a little kid. The idea of just buying a bottle of soda and drinking it is straight honestly grosses me out now even though getting a can or bottle from a vending machine was something I'd do without thinking. The one exception is when I'm pigging out at the movies with a bucket of popcorn, but that's pretty rare.
The original French quote appears to be from here. Stories link to another tweet (since privated) as the source of the translation, which quotes the first tweet, but it only differs from the embedded Google Translate result by a single word ("tasty" vs. "satisfying"). Here's a video of the press conference with more context and a similar translation of that quote.
Whoa, that looks pretty sick. Definitely will give it a shot next time the need arises!
David P. Goldman is deputy editor of Asia Times and a fellow of the Claremont Institute’s Center for the American Way of Life.
What a fash-coded name for a think tank. Might as well call it the Center for Securing the Existence of Our People and a Future for White Children.
In text form:
Abstract
Amid the current U.S.-China technological race, the U.S. has imposed export controls to deny China access to strategic technologies. We document that these measures prompted a broad-based decoupling of U.S. and Chinese supply chains. Once their Chinese customers are subject to export controls, U.S. suppliers are more likely to terminate relations with Chinese customers, including those not targeted by export controls. However, we find no evidence of reshoring or friend-shoring. As a result of these disruptions, affected suppliers have negative abnormal stock returns, wiping out $130 billion in market capitalization, and experience a drop in bank lending, profitability, and employment.
Quote from conclusion
Moreover, the benefits of U.S. export controls, namely denying China access to advanced technology, may be limited as a result of Chinese strategic behavior. Indeed, there is evidence that, following U.S. export controls, China has boosted domestic innovation and self-reliance, and increased purchases from non-U.S. firms that produce similar technology to the U.S.-made ones subject to export controls.
A good example of this in action is detailed in a book called "how the workers' parliaments saved the Cuban Revolution", by Pedro Ross.
That sounds like a fascinating book! I've always been interested in the nitty gritty of how the Cuban democratic process works, and this book seems accessible and is just under 200 pages (not including the appendices/bibliography) so I might actually get through it.
Here's a temporary download if anyone wants to grab it (it's also just on libgen if you prefer to find it yourself)
Here's an insta of an actual Japanese wildlife photographer chock-full of great photos of this bird (among others)
That's a long payoff for a practical joke, but totally worth it.
Also, unsurprisingly, they won the 2020 Ig Nobel Prize in Materials Science (lol) for this one (video of the ceremony, Ig Nobel "lecture" from the lead author (also the primary pooper))