Looks to me like something that would be better explained by a physicist.
... In other words, to answer your question, very hard.
But hey, if you want, I could prove that
N(α) is prime in Z => α is prime in Z[i],
that is, if the norm of a Gaussian integer is prime, then the Gaussian integer itself is prime. Anyone? Anyone?
(I just had our "midterm exam", so this stuff is just spilling out of me.)
... In other words, to answer your question, very hard.
But hey, if you want, I could prove that
that is, if the norm of a Gaussian integer is prime, then the Gaussian integer itself is prime. Anyone? Anyone?
(I just had our "midterm exam", so this stuff is just spilling out of me.)
posted by Matt | 11:36 AM
2 Comments:
So am I to believe that physicists are just smart arithmeticians?
Stated differently, did math people fail out of the physics department?
Math--the new communications.
:)
I kid...I kid.
Actually, I often think about that. I always saw the (physical) sciences in kind of a hierarchy: Biology => Chemistry => Physics => Mathematics. As in, in each one you can, in a way, go "smaller" and "simpler" by moving to the next. I've always thought it interesting that, in a way, I could be considered not all that smart, since all I really understand is mathematics.
That's an overstatement, of course. And mathematics is not exactly on the same spectrum, as it can be applied to them all--and in just about any discipline--in different ways.
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