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7h
answered I don't understand a step in the proof of Euler's Theorem, please explain
2d
answered (i) $\{(x,y) \in \mathbb{R}^2 |\;xy = 1\}\,\bigcup\, \{(x,y) \in \mathbb{R}^2 |\;y = 0\}$ is not connected
Feb
4
answered Prove that $7<e^2<8$
Feb
4
comment Prove that the Gaussian integer $a$ is a prime element if $N(a)=p$ or $p^2$ where $p$ is congruent t0 3 mod 4
Because $5=(2+i)\times (2-i)$. Look up for Fermat's theorem on primes of the form $4k+1$
Feb
4
comment How many values does $\sqrt{\sqrt{i}}$ have?
@Shailesh and Piquito: My answer above has been edited and revised.
Feb
4
revised How many values does $\sqrt{\sqrt{i}}$ have?
added 586 characters in body
Feb
4
answered How many values does $\sqrt{\sqrt{i}}$ have?
Feb
3
comment quadratic simultaneous equation
@Nikos M: This not a method of solving, just a reinterpretation. And this reformulation does not lead to any solution.
Feb
3
answered Isomorphic to Subgroup of even permutations
Jan
30
answered What is the polar formula for $y=x$?
Jan
29
answered Prove that $\frac{1\cdot3\cdot…\cdot(2n+1)}{2\cdot4\cdot…\cdot(2n)}$ is strictly increasing and not bounded above
Jan
28
comment Solve $z^6=(z-1)^6$.
Alternative way to see that there are just 5 solutions: Rewriting the given equation as $z^6-(z-1)^6=0$, and expanding shows that there actually is no term of degree 6, leaving a polynomial equation of degree 5 to solve. Hence we have only 5 solutions (counting multiplicity, if any).
Jan
23
comment Dimension of vector space of matrices with zero row and column sum.
You have a candidate answer. You asked for a method to find the dimension. You can try to bring it to echelon form. Long, but there will be many similar row operations. And so doing a few would enable you guess the others.
Jan
23
answered Dimension of vector space of matrices with zero row and column sum.
Jan
22
comment May be this Conjecture is hold? with $n$ consecutive postive integers problem
Title is badly worded and unhelpful. The post itself needs improvement in grammar and sentence construction. In the current form it is unclear what the hypothesis is and what is to be proved.
Jan
22
comment Permutation Adjacency matrix
There must be standard terminology by graph theorists; so I would not attempt to coin a word.
Jan
21
comment Deciding non-isomorphic subgroups of symmetric group
@verret: your comment does settle the question negatively. Why don't you post it as an answer? (BTW that group will be an avatar of the Klein's 4-group)
Jan
21
answered Is the set of all diagonalizable matrices compact?
Jan
20
answered Coordinate ring of $GL_2$.
Jan
20
answered How to prove that all odd powers of two add one are multiples of three