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 Dec 10 awarded Custodian Dec 10 reviewed Approve Quantifier elimination in infinitary languages Dec 10 comment Quadratic extensions - understanding Yes, every finite extension is algebraic. If $L/K$ has degree $n$, then for any element $\alpha \in L - K$ the set $\{ 1, \alpha, \alpha^2, \ldots, \alpha^n \}$ must be linearly dependent, which shows that $\alpha$ satisfies a polynomial, i.e. $\alpha$ is algebraic. Dec 10 answered Quadratic extensions - understanding Oct 14 comment Proving Logarithims Forgive me for trying to read your professor's mind, but I imagine what she means is that you cannot start with the assumption that $A=B$, manipulate both sides simultaneously, and then arrive at a true statement. However, it is perfectly fine to take the log of both sides, $\log(A)$ and $\log(B)$, separately, and then observe that they are equal. Oct 9 asked Graphs with disjoint edge sets Sep 22 answered Are Hilbert primes also Hilbert irreducible ? Furthermore, are Hilbert primes also primes in $\mathbb{ Z}$? Sep 5 comment What does Linear mean in Linear Space (Vector Space) A circle is a 1-dimensional space which is not flat. A (hollow) sphere is a 2-dimensional space which is not flat. Sep 5 answered What does Linear mean in Linear Space (Vector Space) Jul 20 answered Constructing $\mathbb{C}$ from $\mathbb{R}$ Jul 1 answered Prove that $|GL_n(\mathbb{F})|< q^{n^2}$. Jun 27 comment The field fixed by inertia group is the maximal unramified field You can reduce to the finite case: Take an arbitary $\alpha$ in $K^I$ and consider the finite extension $F(\alpha)/F$. Jun 16 comment Visualising finite fields Yes, that's the paper. Gassert is currently at the University of Colorado at Boulder as a postdoc. Here's the full list of his arXiv papers: arxiv.org/find/math/1/au:+Gassert_T/0/1/0/all/0/1 May 12 awarded Yearling Apr 1 comment $\mathbb{Q}(\sqrt{2+\sqrt{2}})$ is Galois over $\mathbb{Q}$? Have you tried computing the minimal polynomial for $\sqrt{2+\sqrt{2}}$? Mar 30 revised Probability that minimum of two numbers is less than 4 this is not linear algebra Mar 30 suggested approved edit on Probability that minimum of two numbers is less than 4 Mar 30 answered Probability that minimum of two numbers is less than 4 Mar 23 revised How to find the matrix of the Linear Tranformation wrt the bases S and T? Wrote v's instead of u's in the final matrix Mar 23 answered How to find the matrix of the Linear Tranformation wrt the bases S and T?