this post was submitted on 27 Apr 2025
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Funny

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[–] [email protected] 20 points 1 month ago

The funniest part is that some people will never understand the absolute crusade that some mathematicians might fight over this one day

[–] [email protected] 46 points 1 month ago (8 children)

gonna need this in every base

I'll start with base 2:

1/1 = 1

[–] [email protected] 6 points 1 month ago

We should be friends

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[–] [email protected] 33 points 1 month ago (1 children)

I just noticed what the numbers are. It really is easy to memorize. So convenient.

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[–] [email protected] 16 points 1 month ago (2 children)

I wonder if there’s a related infinite sequence which converges on 8?

[–] [email protected] 21 points 1 month ago (1 children)

This sequence approximates an integer to arbitrary precision, not 8 specifically though, and never perfectly.

I tried it out using other bases, and the rule seems to be that doing this in base n results in n-2 with remainder n-1. So it doesn't ever actually converge, but the remainder becomes small very fast.

[–] [email protected] 11 points 1 month ago (2 children)

never perfectly

eyes you in binary

[–] [email protected] 4 points 1 month ago

Hmmmm.....

Edit: you can kinda think of it being 0, plus the 1/1 that would have ended up as a remainder in larger bases. In base 2, it just ends up being a full 1.

[–] [email protected] 10 points 1 month ago (1 children)

The sequence in base 2 is only 1/1.

Wonder how close base-16 gets.

FEDCBA987654321 / 123456789ABCDEF

[–] [email protected] 10 points 1 month ago

Off by '1.82959E–16' !

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[–] [email protected] 5 points 1 month ago (1 children)
[–] [email protected] 12 points 1 month ago

See my other comment, it's no coincide– there's a pattern. I would love to see an actual proof for it though, I don't know enough to say why it behaves that way.

[–] [email protected] 79 points 1 month ago (18 children)

Shit like this makes me realise why people become mathematicians. You just play around with numbers and find funny facts about them.

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