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2d
comment Cartesian product of two real sets
@Jyanluka The cartesian product of $A$ and $B$ will be an infinite set.
2d
accepted Order of a polynomial in $\mathbb F_q[x]$
Apr
23
asked Order of a polynomial in $\mathbb F_q[x]$
Apr
22
comment How to prove that I can trisect any angle?
It's not clear what you're trying to prove and what your assumptions are. In the title you say you want to prove you can trisect any angle, then you say you assume that in the question.
Apr
21
awarded  Nice Answer
Apr
21
answered My dilemma about $0^0$
Apr
19
answered How to get a Recursive Definition for $3n^2$?
Apr
18
revised Prove there exists $m > 2010$ such that $f(m)$ is not prime
added 244 characters in body
Apr
18
comment Prove there exists $m > 2010$ such that $f(m)$ is not prime
@AlexM. It's simply that modulo anything, congruence is compatible with addition and multiplication. So if $x\equiv y$, then $x^k\equiv y^k$, $a_kx^k\equiv a_ky^k$, and $f(x)\equiv f(y)$.
Apr
18
answered Prove there exists $m > 2010$ such that $f(m)$ is not prime
Apr
18
revised Standard deviation and mean question
added 19 characters in body; edited tags
Apr
18
comment Standard deviation and mean question
If you really want to understand it, a more focused question will be of more use to you. Could you edit your question to describe, for each of the four questions, your thoughts on it, what elements from your course you think might be relevant, and where you're getting stuck? As it stands the question is hard to answer because it's impossible to know just what you need explained - so the only kind of answer possible would be "here is the solution", which likely wouldn't clarify anything for you.
Apr
16
answered How to Prove with Mathematical Induction $3^n > n^2$
Apr
14
answered How to find the n-th derivative?
Apr
14
comment Can abstract algebra be used to prove points are constructible?
@user54301 Oh, you're thinking of a slightly different necessary condition than I was. You need a stronger necessary condition than "A point is constructible only if it's in an extension of degree $2^n$". Namely, you need the condition "A point is constructible only if it's in a tower of extensions, each extension of which is of degree $2$". This doesn't require a more complicated proof than for the weaker condition. In fact, all the proofs I know prove the stronger condition first, but then reformulate it as the weaker condition because it's simpler.
Apr
14
comment Heuristic explanation for oscillatory behavior of first $n$ primes' multiples
$\mu a_k - k$ seems like a somewhat arbitrary function to want to plot. Is it supposed to represent something meaningful?
Apr
14
comment Are all continuous one one functions differentiable?
But it's not bijective.
Apr
13
comment Can abstract algebra be used to prove points are constructible?
@user54301 That's exactly what I said in my answer.
Apr
13
comment How do mathematicians find formulas?
I think this is probably the ideal way to answer the question. As I mentioned in another comment, the information that the asker needs here is the fact that mathematical formulae are deduced using logic. I was considering trying to explain that in an answer, but I think it's one of those things that's easier to show than to explain. It's hard for people to grasp what it means to prove something by logic until they see an example.
Apr
13
comment How do mathematicians find formulas?
Some of the answers below just go to show how as people who think about math all day, we forget that most laymen simply aren't aware of the most basic fact that math is based on logical reasoning, and not empiricism like physics. I can still remember "finding" theorems in middle school by drawing a mess of lines with a ruler and protractor and measuring until I found two things that matched up, genuinely believing that that's what mathematicians did.