Algebraically, right?

Comments

• harry315@feddit.de ⁨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

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  • dadGPT@lemmy.world ⁨1⁩ ⁨year⁩ ago

    simply put its memeception

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    • harry315@feddit.de ⁨1⁩ ⁨year⁩ ago

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

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• goddard_guryon@sopuli.xyz ⁨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 x~1~). That gives you 3(1/4) + x~1~ = 1
  • now you take x~1~ 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 x~2~ gives you 3(1/16) + x~2~ = x~1~. Put this back into the first equation to get 3(1/4 + 1/16) + x~2~ = 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)

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• PorthosAteMyCheese@startrek.website ⁨1⁩ ⁨year⁩ ago

  Image

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• vzq@lemmy.blahaj.zone ⁨1⁩ ⁨year⁩ ago

  Top tier shit post. I love it.

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• S3verin@slrpnk.net ⁨1⁩ ⁨year⁩ ago

  Love it.

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• pancakes@sh.itjust.works ⁨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?

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  • Kazumara@feddit.de ⁨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, 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.

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  • Gustephan@lemmy.world ⁨1⁩ ⁨year⁩ ago

    You’re thinking of the fourier series

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