Pulling on a thread
Often there’s a thread running through a sequence of my posts. Sometimes I make this explicit and sometimes I don’t. The latest thread started with this post commenting on a tweet that observed that exp(−x²) ≈ (1 + cos(sin(x) + x))/2. Some people said online that that the approximation is simply due to the first few terms of the Taylor series on both sides matching up, so I wrote a follow up post explaining that it’s not that […]