Reputation
Next tag badge:
393/400 score
156/80 answers
Badges
5 102 226
Newest
 terminology
Impact
~2.2m people reached

4h
comment Field homomorphism induces an isomorphism between their prime subfields
It seems one is assuming $\sigma$ is nontrivial, that is, that there exists $x$ in $F_1$ such that $\sigma(x)\ne0$. If not, then the conclusion is wrong.
4h
comment How to factor $81x^2+16y^6$?
@Carl, your teacher may never have seen $x^4+4$.
4h
comment How to factor $81x^2+16y^6$?
@Cle, "Thou shalt not divide by zero"?
4h
comment Finding the d value that will keep all coefficients at a minimum in a Cubic
$a+b+c+d=y(1)$, so if you constrian your cubic to go through $(1,Q)$ for your favorite $Q$, you will have made $a+b+c+d$ be $Q$. In particular, there is no minimum; you can make $Q$ be $-1000$, or $-1000000$, or $-1000000000$, etc. Unless there is some other restriction you are not telling us about?
4h
comment Transformations of Quadratic Forms to their Normal Forms
As $Q$ is a form, not a number, it makes no sense to write, $Q\in{\bf C}$. I'd say $Q$ is a function whose domain and codomain are both $\bf C$.
10h
comment Irreducibility of a polynomial
Yes, 118494, you got it. Not all that different from the answer @Adayah posted, if you work through the details. I'd encourage you to either post it as an answer (people are encouraged to post answers to their own questions, when the post has led to their understanding how to answer), or to accept Adayah's answer, if you are happy with it.
22h
comment Irreducibility of a polynomial
So, did you try that?
1d
comment Regarding Power series in complex analysis
Does that series look like some familiar function, chang?
1d
comment Something related to carmichael numbers.
What about your breakfast? Shall I cut up your toast for you? Shall I tie your shoelaces for you? You don't find your own question interesting enough to put any effort into testing it, or even into editing it. Why should anyone else put any effort into it for you?
1d
comment What is the use of Euler paths?
In real life, what is the use of Beethoven's Fifth Symphony? In real life, what is the use of the Mona Lisa?
1d
comment Recurrence relation between solutions of a quadratic Diophantine equation
We have been asked not to answer Project Euler questions here.
1d
comment a mod -b (Maple disagrees with Wolfram)
I'll assume you want $a$ and $b$ to be integers, $b>0$. $a\bmod{-b}$ means whatever we agree it means. If we don't all agree, then it means different things to different people. Most people have no use for a negative modulus, so it's fine for them to say it doesn't mean anything. If I had to define it, I'd define it to be the same as $a\bmod b$.
2d
comment How to simplify the conditional expectation $E[v_3\mid v_1 < \max\{v_2,v_3\}, v_3=\max\{v_2,v_3\}]$
There is a lot of information you have about the question that you have not provided, beginning with, how did you come across this question? and going on to, do you understand all the terms in the question, such as "random variable", "independently", "uniform $(0,1)$, $E_3$, $E$. Anyway, you've had an answer, and you have accepted that answer, so what is the problem?
2d
comment Irreducibility of a polynomial
If $x^nf(1/x)=g(x)h(x)$ with $g$ of degree $r$, $h$ of degree $s$, $r+s=n$, and then you replace $x$ everywhere with $1/x$, what do you get?
2d
comment Irreducibility of a polynomial
$f(1/x)$ doesn't look like a polynomial, because it isn't a polynomial (if the degree of $f$ exceeds zero). But $x^nf(1/x)$ is a polynomial.
2d
comment Can such an “orthogonal” matrix exist?
You can post that as an answer, Oria. It is encouraged to post answers to your own questions, if a discussion has shown you how to do them.
Aug
30
comment how many spheres can all touch a single one?
While you are thinking about the more general problem, maybe you could post an answer to the particular problem in the question, based on what you have learned by following the links. Oh, and if you want to be sure I see a comment addressed to me, you have to write @Gerry in it somewhere.
Aug
30
comment Can Stirling's approximation be used to obtain lower and upper bound for $\pi(x)$?
You may find mathoverflow.net/questions/42393/… interesting.
Aug
29
comment how many spheres can all touch a single one?
So, Thomas, have you followed the links?
Aug
29
comment Fractional part of $n\alpha$ is equidistributed
@i70, yes, I think what I had i mind was the set of linear combinations of functions of the form $e^{2\pi inx}$, $n$ running through the integers.