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Polyomino loops: medium.com/swlh/polyomino-loop

Matthew Yuan wonders, if you play billiards in a polyomino and try shooting a ball diagonally from the midpoint of each of the polyomino edges, how to count the number of loops that these billiard paths will link up into. It's somewhat related to the African lusona drawings that I discussed at 11011110.github.io/blog/2020/0.

@valleyforge do you mean recursion based on the two examples you provided (factorial and Fibonacci)? Functional programming is not just limited to recursive functions and is a declarative programming paradigm:
en.m.wikipedia.org/wiki/Functi

@Placholdr This is the practice, in programming, of explaining your problem to a literal rubber duck. Often the process of explaining the problem helps you figure it out.

en.wikipedia.org/wiki/Rubber_d

There does also seem to be an effect where, the more publicly you post your confusion, the more quickly you realize your silly mistake. Finally, in the classroom, your ability to do math is inversely proportional to your proximity to a whiteboard.

Sometimes #learning more about something does not feel like gaining knowledge, but more like the stupid (misconceptions and simplifications you believed to be true) leaving your body.
#randomthoughts

@valleyforge alright I'll bite...not everyone who complains about political gridlock is trying to force their political will. I think it's more of an issue of why can't we get the basics done. One example that comes to mind is passing a budget. The US federal government has shutdown 3 times in history (1995-1996, 2013, and 2018-2019) due to failing to pass a budget. Having a budget to fund basic government spending is essential for the country to run, yet there is no mechanism in place to prevent this "political gridlock" (one such mechanism is automatically passing last year's budget if a new budget has not been passed, which is in place in Wisconsin and Rhode Island). Though I could be wrong here, but many democratic countries do not experience this level of government dysfunction, and this seems to be a unique and recent occurrence in the US.

TLDR; current political gridlock reflects a systematic failure of government and disliking political gridlock != forcing one's political will

M1 Data Memory-Dependent Prefetcher Vulnerability: "the vulnerability could allow attackers to siphon off 'at rest' data, meaning the data doesn't even need to be accessed by the processing cores to be exposed"

tomshardware.com/news/apple-si

I survived to my seminar, now I can crash and sleep the whole afternoon

I found this article to be personally relevant.
My parents had to slip over the border for their wedding. At the time, "mix-race" marriage was illegal in the state of Virginia.

tor.com/2022/05/03/star-trek-w

Wednesday May 9th, Tai-Danae Bradley and I are giving talks on entropy and category theory.

Her talk will dig into the consequences of an amazing fact: the function at the heart of entropy, namely

d(x) = -x ln x ,

obeys a version of the product rule!

(1/n)

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