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1d
comment How to find minimal polynomial of primitive element (field theory)
No, the minimal polynomial for $\gamma$ is the monic polynomial $p$ of smallest degree such that $p(\gamma)=0$.
2d
comment How to find minimal polynomial of primitive element (field theory)
Sorry, I meant, if you let $\beta=\alpha^7$ (so $\beta$ is the element for which you want the minimal polynomial), then $\beta^9=1$.
2d
comment Chair arrangement problem - recurrence
I don't understand. Are you asking about the problem where you can't seat two people next to each other? or are you asking about the problem where you can't seat three people next to each other?
2d
comment Prove that there is a real number $a$ such that $\frac{1}{3} \leq \{ a^n \} \leq \frac{2}{3}$ for all $n=1,2,3,…$
Do you have some reason to believe that it is true?
2d
comment How to find minimal polynomial of primitive element (field theory)
Do you see that $\alpha^9=1$?
2d
comment Reference for measures of commutativity needed
Now posted to MO, without notifying either site: mathoverflow.net/questions/207126/…
May
21
comment Combinatorial optimization problem
You must use $a_1V_1+a_2V_2$ for some $a_1$, $a_2$ satisfying $0\le a_1\le V/V_1$, $0\le a_2\le V/V_2$, so there are only finitely many possibilities you have to test.
May
20
comment $ x^2+y^2+z^2=k(xy+yz+zx) $
What then? Three examples?
May
20
comment $ x^2+y^2+z^2=k(xy+yz+zx) $
"Some examples say yes...." How many examples? A thousand? A million? Is there a proof written down somewhere that there are no nontrivial solutions for $n$ in those sets? Is there a proof that there's a solution, if you don't restrict to positive integers? The more you tell people, the easier it will be for someone to help you.
May
20
comment $ x^2+y^2+z^2=k(xy+yz+zx) $
Strange collection of conditions. Have you tested this for all $n$ up to whatever? Where does this question come from?
May
20
comment tripartite graph with n vertices
Depends a little bit on the remainder when you divide $n$ by 3 (and the formula you give for bipartite isn't quite right when $n$ is odd).
May
20
comment What does the following statement means?
The range of $A$ is the set of all vectors of the form $Ax$ for all possible $x$, Fraz. It is a vector space, so it has a basis.
May
20
comment Solve an equation of the prime counting function
I didn't say it would solve the problem; I said that maybe it was a place to start (you did write that you didn't know where to start, and that any help would be appreciated). So, what did you find out when you took up my suggestion? For which positive integers $x$ did the equation hold? For which ones didn't it hold?
May
20
comment Solve an equation of the prime counting function
So, have you taken up the suggestion in my comment?
May
20
comment How can we prove in general that C is not a linear mapping (homogeneous)?
You write that you have linear mappings $B$ and $C$, but the mappings $B$ and $C$ that you define are (as you know) not linear, so the question still needs editing. Anyway, the general way to show that $B$ is not homogeneous is to find a scalar $\alpha$ and a vector $p$ such that $B(\alpha p)\ne\alpha B(p)$. Beyond that, I don't think there's much to be said. How you find that $\alpha$ and that $p$ is going to depend on $B$. There's no general formula for them.
May
19
comment Origin of Matrix A when calculating Eigenvalues and Eigenvectors
Then maybe you should ask some mathematically inclined member of the Geographic Information System faculty.
May
19
comment Eigenvalue eigenvector (basis)
Are you still there?
May
19
comment How can we prove in general that C is not a linear mapping (homogeneous)?
The notation $B\to Bp$ is used when $B$ is the argument and gets taken to $Bp$. It's not used when $B$ is a mapping that takes $p$ to $Bp$. For that, you might write $B:p\to Bp$. Similarly for $C$. Please edit your question so it makes sense.
May
19
comment Finding sum of coefficients of even powers of a polynomial
@Dietrich, I thought I'd leave OP some work to do.
May
19
comment How to force a system of linear equations to return a non-trivial solution instead of the trivial one when finding the eigenvectors
A computer program can return a nontrivial answer when there isn't a nontrivial answer because a computer can make mistakes, only the kind of mistake a computer makes is round-off error.