this video articulates really well that disquieting feeling I had throughout my music education ๐ค

also good to know that Schenkerian analysis is basically phrenology for music, that saves me from wasting time in getting around to learning it ๐ถ

Fundamental theorem of algebra via basic topology:

Let p be a non-constant โ polynomial.

p is clopen on A, the preimage of its regular values B.

โ โ B is finite, so B is connected. (fails for โ!)

Thus p(A) = B.

p(โ) contains โ โ B, so p(โ) = โ, thus p has a root!

God grant me the confidence of this American guy that thinks if the return ferry from cat island is cancelled that someone on the island will "have to put him up for the night" ๐

Me when realizing Shizuoka (้ๅฒก) translates to "Silent Hill" ๐ฎ

I saw this performance of Brandenburg 5 once, forgot about it, and searched fruitlessly for a while. Then it popped up on my recommendations again! youtube.com/watch?v=zWQKLsAobK

Japanese protip: to remember the consonant order, just have this song burned into your brain: youtube.com/watch?v=99YQqebbLY

man, the web site to purchase tickets to the ghibli museum is the jankiest web app ever

Surprisingly few textbooks discuss how to solve a polynomial equation with a solvable group. Found a ref to bookstore.ams.org/chel-268/ , which I have to request at a library since it's not online!

oh wow there is actually a PA down there

Sometimes when I got the blues and I'm feeling a bit down, all I need to do is go to YouTube and watch some Meerkat videos.

It usually works and I just can't stop smiling, then.

2018:

๐ surgery
Stopped playing ๐น๐ข
๐งณ: Stayed in ๐บ๐ธ mostly
Didn't exercise ๐

2019:

๐ค: Algebra โก๏ธ algebraic geometry
No surgery, hopefully ๐
Make some ๐ถ
๐งณ: Visit Asia again ๐พ๐ต๐ญ
Start exercising ๐๏ธโโ๏ธ

Press F (X) to Apply Functor

I forgot how to write a cursive uppercase G and had to look it up D:

In today's edition of floating point gotchas: amazon.com/5-11-5-110000000000
Note that "5.11" is the name of the company. ๐

bongo cat is the best band in k-pop youtube.com/watch?v=vg0yhftMHc

romaine is a read-only replica of the state of Maine

lmao my test android phone *just* got the 8.1 update

Reached an important milestone in my Japanese flash cards ๐น

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