Luke
Reputation
1,040
Next privilege 2,000 Rep.
Edit questions and answers
 Jul 29 awarded Popular Question May 29 revised Trouble with geometrical application of Lagrange multiplier rollback May 20 comment Prime numbers stretch to infinity, but what about the distance between them? Polignac turned out to be right: golem.ph.utexas.edu/category/2013/05/…. May 14 comment A suspicious way to conclude convergence Yes. I thought a real divergent sequence had to go to $\pm\infty$. May 13 accepted A suspicious way to conclude convergence May 13 comment A suspicious way to conclude convergence Indeed, $S$ neither converges nor diverges. May 12 asked A suspicious way to conclude convergence May 7 comment Is there a need for another integration technique? Next time I'll know better than to not draw the freaking region. =D May 6 accepted Is there a need for another integration technique? May 6 asked Is there a need for another integration technique? May 6 awarded Yearling Apr 25 awarded Informed Apr 22 asked Trouble with geometrical application of Lagrange multiplier Apr 6 awarded Popular Question Sep 21 comment Splitting field of a slightly general polynomial I've done exercises with $x^n-a$, $n$ and $a\neq1$ known, and indeed, the Galois group does not turn out to be abelian. Based on your answer, I have another idea: when $a$ is $1$, $\omega\mapsto\omega^k$ is invertible if and only if $k$ is invertible modulo $n$; but the set of such numbers is an abelian group, so I could argue $\mathrm{Gal}(F)\simeq\mathbb Z_n^\times$. Sep 20 asked Splitting field of a slightly general polynomial Jul 25 comment Finding a pair of elements to satisfy an inequation @JackSchmidt I had an insight as soon as I read your comment. A field is a domain, and this one has at least two non-zero distinct elements. Pretty easy, I should've thought of that by myself. Thanks. Jul 25 accepted Finding a pair of elements to satisfy an inequation Jul 25 asked Finding a pair of elements to satisfy an inequation Jul 24 accepted A sequence of nested fractions with a counter-intuitive limit