Nostr Web Client

5 min in and pausing to boost.

You can show using number theory that continued fraction expansions offer the best rational approximations of irrational numbers in terms of increasing numerators and denominators.

The first few fractions in the continued fraction expansion of pi are:

3, 22/7, 333/106, 355/113, 103993/33102, 104348/33215, ...

To me 355/113 is the most interesting fraction in this list. Using numbers less than 1000 you get an approximation that is accurate to the order of 10^-7. Also it is 11 33 55 split in two, so easy to remember.

https://fountain.fm/episode/ef7QKzzxcZYJyfXgzu1L

nostr:nevent1qvzqqqpxquqzp2t5usg35czavcepndw8hw3zfpnq23als38zdvz97yxxpx63q8l4r5m6dw

Reply to this note

Please Login to reply.

Discussion

Phundamentals 4mo ago

We’re so lucky to have real mathematicians listening and completing tjhe picture.

My question is:

We still think July 22 is superior choice for pi-day right?

Phundamentals 4mo ago

I called Ape a real mathematician to trigger him. Nobody wants that title but he is on a higher pay grade than we are. We might really build something special here with him in the mix.