kmacleod

Explaining the joke.

Added 2022-05-01 00:33:40 +0000 UTC

WARNING: MATHS

I posted the funniest post I've ever made on Twitter.

"Does anyone know a generalized continued fraction expansion of Khinchin's constant? ... asking for a friend."

Very few got the joke. I'm not surprised. It was pretty geeky. Today, I'm here to explain it. :-)

I was talking to a friend of mine about infinite continued fractions, Ramanujan, and finding solutions by iteration over the space of all possible Algebras...

https://en.wikipedia.org/wiki/Continued_fraction

https://en.wikipedia.org/wiki/Srinivasa_Ramanujan

https://en.wikipedia.org/wiki/Stephen_Wolfram

How is this funny?

We know that many Reals can be expressed as continued fractions... pi being famous for having a few cool ones... But there is a constant (Khinchin's constant) that deals with the nature of continued fractions.

The joke is - can you construct a continued fraction of Khinchin's constant, a construction whose existence is dependent on the thing it is trying to describe?

And then my brain broke. I'm going back to playing piano and waiting for the AI.