hyh1048576
Joined 14 years ago
Joined 14 years ago
Background: Morley's theorem is a non-trivial theorem in planar euclidean geometry stated in 1899 (first proof appeared 15 years later). The proofs are not easy. One can use complicated trignometry identities to prove it. Even the "simple" proofs are sometimes quite involved.
Conway introduced some notation and almost trivialized it. The notation he introduced was just a* := a + 60 where a is the degree of an angle. No one would believe this notation can do anything good, but with them (and some other insight) Conway can explain the proof in just a few sentences! (One might think anyone who understand that the interior angles of a triangle will always have a sum of 180° can come up with this simple proof, but that just didn't happen for 100 years until Conway revealed it.)
See page 3-6 here: http://thewe.net/math/conway.pdf
I have trouble finding reliable floor lamp like [this](https://i5.walmartimages.com/asr/c38e8535-2ee2-477d-9e9a-836...). The base is almost always coming off after using for a few years so the whole thing is unstable.
But "min(-, constant_x)" should be thought of as "at most constant_x" and similarly for max. Maybe there's a way to make it more expressive.
Speaking of input methods I always with there are good English input methods, it will be useful too! For example if user enters "compre" the input methods goes 1. comprehension 2. comprehensive (with an order depending on the conditional probability -- there is some interesting math behind input prediction, and with their help input can be a lot smooth, however I only see it used on phones not computers.)
I still hate what Google is doing for Chrome and I'm now using a dual browser strategy... I use Firefox and Chrome at the same time, with a preference to Firefox.