jscalzi@threads.net ("John Scalzi") wrote:
I just an hour ago watched a video about why the East and West Roman Empires never got back together after 394 (that is, until the West fell entirely and the East sort of swooped in and briefly reclaimed Italy and the Adriatic in the equivalent of a fire sale)



![A number line where 3-bit integers in the range [0..7] being mapped to real numbers with two approaches: the standard (top) and alternative (bottom). On the X-axis we’ve got a number line and the locations of brown circles on it represent the decoded floating-point values. The numbers inside are the integer inputs. Each integer has arrows pointing to it; these show a range of floating-point values that round to it. I’ll call these ranges “bins” in the rest of this article.](https://files.mastodon.social/cache/media_attachments/files/116/674/708/456/613/147/original/7cd2123f563333ab.png)





