Math Thread

Anyone interested in a math thread?

Post questions, get answers, discuss topics, etc.

I'd like to discuss something: p-adics.
These are another way of extending Q, instead of the normal way of extending it to R.
One thing I wanna know: How different are they from R? Like, are there numbers in the p-adics that don't exist in R? I'm not sure of this, but I think all the algebraic numbers in Qp are in R.

Other urls found in this thread:

en.wikipedia.org/wiki/0.999…
youtube.com/watch?v=BWUHgoUJFGM
m.youtube.com/watch?v=x-fUDqXlmHM
spacetimeandtheuniverse.com/math/4507-0-999-equal-one-378-print.html
twitter.com/SFWRedditGifs

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That is correct.
And in the p-adics, this also holds.
Think about x=…999.999… (where the nines go off in both the right and left direction).
10x = …999.999… = x
10x-x = 0 → 9x = 0 → x = 0
And since we know 0.999… = 1, that means that …999 = -1, because …999 + 0.999… = x = 0.

And for those in CompEng and CompSci, …999 is just the 10's complement form of -1.

Another things is …999 + 1 = …000 = 0

Of course, this …999 = -1 doesn't hold in the reals since an infinite string of 9's is just infinity.

fuck you

Why?

is this comic accurate?

Yup. Euler's identity is hella fine.

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You obviusly wrong. And I sick of people try convincing everyone in this prank.

dats pretty randums lel XDDDDDDDDDDDDDDDD