We congratulate Levent Alpöge and Tristan Buckmaster on their remarkable mathematical work.
We (the researchers and the agents) did not see any of their work through any means until they released it publicly — in particular, no specific user data was accessed in order to solve this problem.
While unlikely, we cannot rule out that de-identified data derived from their usage of our products helped improve our models.
However, our proofs differ significantly and even the precise results proved are different in the Euler case (forced vs. unforced).
This 500-year-old portrait may seem ordinary, but it's one of the most mysterious in history.
There's so much detail that you can read every musical note on this small page.
But look closer — an unsettling secret is hiding in plain sight... 🧵
#OnthisDay 1979: Frank Prentice, an assistant purser on the Titanic, described how he survived the sinking of the ship. For more archive on the Titanic, you can visit - https://t.co/fYwWoNhuBT