fretty
Reputation
7,526
Top tag
Next privilege 10,000 Rep.
Access moderator tools
 Feb 21 awarded Yearling Dec 20 awarded Necromancer Nov 2 comment Show the Gaussian Integers form a ring, by showing that it's a subring of a certain field Basically the question is trying to get you to see that $\mathbb{Z}[i]$ is the ring of integers of the number field $\mathbb{Q}(i)$. It is quite a silly question though since you can quite easily show it is a ring without knowing this connection. Nov 2 answered The number of possible basis in $n$ dimension. Nov 2 comment Evaluate the Integral $\int \sqrt{1-4x^2}\ dx$ If you need a simpler explanation that this one then perhaps you need a simpler course... Nov 1 answered Prove that $\mathbb{Z}[i]/\langle 1+i \rangle \cong \mathbb{Z}/2\mathbb{Z}$ Oct 11 comment Finding a Residue using Fermat's Theorem. It doesn't say "use only", in fact it is probably impossible to do it using just Fermat. Oct 10 revised Intuition behind “ideal” edited body Oct 6 comment A matrix and its transpose have the same set of eigenvalues Any polynomial satisfied by $A$ is also satisfied by $A^T$ so yeah. Oct 6 awarded Good Answer Oct 5 comment Can we find eight points which all have Hamming distance two? There are 8 possible words so the list would contain every word...but 000 and 111 have distance 3. Oct 4 comment Adding points on an elliptic curve It might help to know the curve :p. Anyway given that it shouldn't be too hard to show that $6P + 2Q = -R$ and $2P+2R = -Q$. Sep 2 comment Why is it necessary for a ring to have multiplicative identity? Definitions in mathematics (especially in algebra) are usually made to capture some observed notion, so that we may study such things abstractly. The multiplicative identity of a ring is definitely something important that occurs in many systems and so yes it deserves to be a part of the definition. Aug 27 comment How to show $\binom{2n}{n} \ge \prod_{n < p \le 2n} p$? That's what I wrote. Aug 27 comment How to show $\binom{2n}{n} \ge \prod_{n < p \le 2n} p$? Well this is quite a well known result so has probably been found somewhere else and copied. Aug 27 answered How to show $\binom{2n}{n} \ge \prod_{n < p \le 2n} p$? Aug 18 awarded Popular Question Aug 9 comment How to prove that this new set of vectors form a basis? I didn't...it was just notation. Aug 9 answered How to prove that this new set of vectors form a basis? Aug 9 comment How to prove that this new set of vectors form a basis? ...also this is not true over a field of characteristic $2$!