Oops, I misspoke and don't have nearly the understanding of this sort of thing that you do. I assumed that other atoms/particles could be arranged and made to take on the role of various circuits and logic gates that would form a processor with a frequency of ~60 PHz at 1% of light (though even...
A thought crossed my mind about the idea of atomic computers. In short, I have no clue as to whether such a thing is feasible, already in the works, or just a bunch of nonsense, which is why I decided to bring it up here and see if anyone could offer some insight into this idea. If so, I’d...
I would like to compute
$$ \iint \limits_{x^2 + y^2 \le 3} \! x^2 + y^2 \, \mathrm{d} A $$
using rectangular coord's.
First, I'll compute the iterated integral using polar coordinates so that I can check my work.
Limits:
$$ 0 \le \theta \le 2\pi \\
0 \le r \le 3 $$
so
$$ \iint \limits_{x^2 +...