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.
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.
Daniel Gutierrez
fuck you
Landon Bailey
Why?
Ryan Murphy
is this comic accurate?
Levi Jones
Yup. Euler's identity is hella fine.
Josiah Lewis
...
Jaxson Green
You obviusly wrong. And I sick of people try convincing everyone in this prank.