Gerry Myerson
Reputation
123,079
99/100 score
 3h comment Trace 0 and Norm 1 elements in Finite fields You should edit your question, then, so it asks what you actually want to ask. 7h comment Trace 0 and Norm 1 elements in Finite fields Are you still here? 21h comment Is $G/N$ isomorphic to $\mathbb R ?$ Are you still here? 21h comment Proof that theorem M- is center of gravity Center of gravity of what? 1d comment Is there an algebraic solution for this rootfinding problem? Depends on $\gamma$. Yes for $\gamma=0$, $\gamma=1$, $\gamma=2$, $\gamma=3$, $\gamma=4$, $\gamma=1/2$, a few others, false for most values of $\gamma$. 1d comment Proof that theorem M- is center of gravity What are $A$, $B$, $C$, and $M$? What is the question? Why the pythagorean-triples tag? This is about as bad as it's possible for a question to get! 1d comment Trace 0 and Norm 1 elements in Finite fields Are you asking whether there always exists such an element? There certainly can exist such an element – if $q$ is 3 mod 4, and $\ell=2$, and $\alpha$ satisfies $x^2+1=0$. But if $q$ is 1 mod 4, and $\ell=2$, then there can't be any such element. 1d comment How many pairs $(a,b)$ of integers such that , $a^2b^2=4a^5+b^3$ @Young, is that an ongoing competition? 2d comment Is $G/N$ isomorphic to $\mathbb R ?$ What made you decide $N$ is not isomorphic to {the reals under addition}? Did you try multiplying two elements of $N$ to see what you get? 2d comment What is the maximum number of triangles in a planar graph with n vertices? Have you gotten home from work yet? 2d comment The equation $x^3 + y^3 = z^3$ has no integer solutions - A short proof Currently 21 upvotes and 18 downvotes. Must be one of the more divisive answers on m.se. 2d comment How do display matrix A,b,c when using AMPL for a Linear Optimization's problem? This seems to be a coding problem, off-topic here on math.stackexchange. 2d comment How many pairs $(a,b)$ of integers such that , $a^2b^2=4a^5+b^3$ Can you tell us where you came across this problem? 2d comment Vectors and tractors Not a good idea to just dump a problem here, with no indication of what you know about the problem, where it comes from, how far you got on it, where you got stuck, and so on. 2d revised Understanding the equality $x^k(1-x)^{-k} = \sum_{n = k}^{\infty}{{n-1}\choose{k-1}}x^n$ edited tags 2d answered Understanding the equality $x^k(1-x)^{-k} = \sum_{n = k}^{\infty}{{n-1}\choose{k-1}}x^n$ 2d comment Two normal operators are similar if and only if they are unitarily similar @Martin, the question has been reopened. 2d comment Galois group of a quartic which is also a quadratic in $x^2$ And as @Ryan notes in a comment, even if $f(x)=g(x^2)$, the degree of $E_f$ over $E_g$ may be 4, not 2. 2d comment Find a polynomial such that f(T)=T* of a given linear operator Good. If you get the problem worked out, I encourage you to write it up and post an answer. 2d comment Find a polynomial such that f(T)=T* of a given linear operator What I mean is you are looking for a polynomial $f(x)=ax^2+bx+c$, and I am suggesting that if you let $f(i)=-i$, $f(1)=1$, and $f(0)=0$, you get three (linear) equations for the three unknowns $a,b,c$.