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[-] harry315@feddit.de 48 points 1 year ago

It's a post I'm too stupid to fully understand, yet I know too much to not comprehend the gist

shit

[-] lasagna@programming.dev 25 points 1 year ago

It's a sum with n from 1 to infinity. The first value with n=1 is 3/4, with n=2 it's 3/16. And if you keep adding those terms as n goes to infinity it approaches 1 but never gets there.

Then if you look back at the meme, you could zoom in for infinity and always find a smaller square.

[-] rustydrd@sh.itjust.works 21 points 1 year ago

An additional part of the joke is that showing this through the area of a square is a geometric proof that this series converges the way it does.

[-] Zeshade@lemmy.world 9 points 1 year ago

Rather than algebraically. Feels like we're all converging towards explaining the joke but never quite fully get there.

[-] harry315@feddit.de 4 points 1 year ago

Oof, I've heard this somewhere before. Thanks for the explanation!

[-] dadGPT@lemmy.world 6 points 1 year ago

simply put its memeception

[-] harry315@feddit.de 1 points 1 year ago

so you mean, it's a meme inside a meme, right?

[-] goddard_guryon@sopuli.xyz 23 points 1 year ago* (last edited 1 year ago)

That's some high IQ usage of a meme. Lemme see if I'm getting this right:

  • the total area of the image ( = RHS of the equation) is 1
  • you divide the image into 4 parts so that the area of 1 part is is 1/4 ( = 1/2^(2*1)). You take the first three quarters and leave the fourth quarter for recursion (I'll call it x1). That gives you 3(1/4) + x1 = 1
  • now you take x1 and do the same with it. This time, the area of each sub-quarter is 1/16 ( = 1/2^(2*2)). Three such sub-quarters and a leftover x2 gives you 3(1/16) + x2 = x1. Put this back into the first equation to get 3(1/4 + 1/16) + x2 = 1.
  • repeat until infinity; each time the area of the resulting tile is 1/4 of the previous tile (which is the 2n in the exponent part)

Edit: imma remove all markdown since it doesn't seem to work, at least on liftoff. Enjoy the lisp-like mess

[-] vzq@lemmy.blahaj.zone 13 points 1 year ago

Top tier shit post. I love it.

[-] S3verin@slrpnk.net 9 points 1 year ago
[-] pancakes@sh.itjust.works 4 points 1 year ago

I'm no mathematician but isn't the number to the left of big sigma supposed to be 4, to show it's a series of 4?

[-] senoro@lemmy.ml 15 points 1 year ago

I’m pretty sure it’s 3. I think the proof works by taking a 1 x 1 square and splitting into quarters (1/4 = 1/2^2). So we say we have 3 full quarters and then 1 remaining quarter which we then split up again. And if you keep doing that you will fill in the full square. 3/4 + 3/16 + 3/64 and so on

[-] pancakes@sh.itjust.works 4 points 1 year ago

Ahhh that's makes sense, thank you!

[-] Kazumara@feddit.de 7 points 1 year ago* (last edited 1 year ago)

No, it's a normal multiplication by 3, and it makes sense.

3 times the sum expands to: 3 * 1/4 + 3 * 1/16 + 3 * 1/64 + 3 * 1/256 + ....

Which is essentially what the picture shows: The main meme is three quarters filled with whole pictures, the fourth quarter being the inset of the sub meme, which is made up of three sixteenths of whole pictures and the fourth sixteenth is made up of the next layer of inset meme etc.

[-] Gustephan@lemmy.world 1 points 1 year ago

You're thinking of the fourier series

this post was submitted on 20 Aug 2023
590 points (97.3% liked)

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