Reputation
8,935
Next privilege 10,000 Rep.
Access moderator tools
Badges
1 13 29
Newest
 Enlightened
Impact
~37k people reached

1d
comment calculation a Legendre symbol with reciprocity
Or even easier: $\big(\frac{12}{47}\big) = \big(\frac{3}{47}\big)\big(\frac{4}{47}\big) = \big(\frac{3}{47}\big)$.
May
3
comment How does $\log_2(A)-\log_2(B)+\log_2(c)$ not equal $\log_2(\frac{Bc}{A})$
@Soke ? $\log_2(A) - (\log_2(B) + \log_2(C)) = \log_2(A) - \log_2(B*C) = \log_2\left(\frac{A}{B*C}\right)$.
May
3
comment How does $\log_2(A)-\log_2(B)+\log_2(c)$ not equal $\log_2(\frac{Bc}{A})$
@gnometorule From the OP's point of view, it does depend on order of operations --- if the addition is performed first, you get the wrong answer (regarding $-$ as a binary operation rather than a unary minus).
May
3
answered How does $\log_2(A)-\log_2(B)+\log_2(c)$ not equal $\log_2(\frac{Bc}{A})$
May
3
comment Let ideal $I$ be generated by polynomial $p(x)$ in the ring $F[x]$ F-field.
That is a typo. $deg(r_1(x)-r_2(x)) < deg(p(x))$ implies that $q(x) = 0$ (since $r_1(x)-r_2(x)=q(x)p(x)$). Thus $r_1(x) = r_2(x)$. If this answer satisfies your needs, I'd appreciate an upvote and an accept.
May
2
comment Let $R = \mathbb{Z} + x\mathbb{Q}[x]$. Find all the irreducibles in $R$.
I don't think the statement is true. For example, $\pm p$ is irreducible but does not have constant term $\pm 1$. Or, $(1+x)(1+x)$ is a polynomial whose constant coefficient is $1$, so it is not irreducible (assuming that you can see that $1+x$ is not a unit).
May
2
answered Let ideal $I$ be generated by polynomial $p(x)$ in the ring $F[x]$ F-field.
May
2
answered Why does the graph of an exponential function shoot straight up when getting to x=1 in an exponential growth function with x^huge number?
Apr
29
answered Finding a function into a closed form of the generating function
Apr
29
comment Finding a function into a closed form of the generating function
Is this a problem from a class? If so, please tell us what you've learned so far so we can better help.
Apr
28
comment The stabiliser of $g.x$ is the subgroup $gGxg^{-1}$
I suspect that it should read $gG_xg^{-1}$, where $G_x$ is the stabiliser of $x$ in $G$.
Apr
28
comment “Implicit” condition about separability of a quartic polynomial
You might look here.
Apr
28
answered Proving that two equivalence classes are disjoint?
Apr
27
comment Combinatorics - Integer sided triangles with integer median
This is Project Euler #513.
Apr
25
comment Quadratic Field of $Q[√−1]$…
Can you write down algebraically what those integers are? If so, it should be easy to graph them in the complex plane. And if not, then the question you need to answer is not "how do I graph them", but "what are they".
Apr
24
comment Let $m$ be the least positive integer divisible by $17$ whose digits sum to $17$. Find $m$.
Since $17$ is already $-1\mod{9}$, you want to add to it numbers that are multiples of both 17 and 9 until you get the number you want. It doesn't take long.
Apr
22
revised What's the solution to this binomial?
added 21 characters in body
Apr
22
answered Factoring the Ring of Integers into Ideals
Apr
22
comment Factoring the Ring of Integers into Ideals
This question could have a very long answer. If you're expecting anyone to help you with this, you need to provide more context. For example, what do you know about such extensions of $\mathbb{Q}$? What theorems have you proved about the structure of $\mathcal{O}_K$? What do you know about ring theory in general?
Apr
21
comment Quadratic equation: Between 0 and 1
Would the downvoter care to comment?