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Bysshed
  • Member for 9 years, 6 months
  • Last seen this week
  • United Kingdom
23 votes
4 answers
24k views

Vector spaces of the same finite dimension are isomorphic

14 votes
3 answers
1k views

How is area defined?

7 votes
2 answers
347 views

Number of pieces produced by cutting a folded ribbon

6 votes
5 answers
2k views

Show: $(x+y)^4 \leq 8(x^4 + y^4)$

5 votes
1 answer
1k views

Number of parallelograms in a hexagon of equilateral triangles

4 votes
1 answer
254 views

In a queue for £1 tickets, there are $m$ people with a £1 coin and $n$ people with a £2 coin. What is the probability that everyone receives change?

4 votes
3 answers
470 views

Show $ \{ (\xi,\eta,\zeta) \in \mathbb{R^3} : \xi = \eta = \zeta \}$ is closed

4 votes
2 answers
102 views

Is $\{x + y^2 | (x,y) \in B_r(a,b) \}$ an open set?

3 votes
1 answer
186 views

Finding symmetric commuting matrices $A,B,C,D \in M_n(1,-1)$ such that $ A^2+B^2+C^2+D^2=4nI_n $

3 votes
1 answer
495 views

On the proof of $\langle T(v),v \rangle = 0$ for all $v \in V \iff T(v)=0$ for all $v \in V $

3 votes
1 answer
156 views

Equivalence of categories between normal subgroups of G and congruence relations on G

3 votes
1 answer
59 views

Does $N^p[N,W] / J$ central in $G/J$ imply $ N^p[N,W,W] \leq J$?

2 votes
1 answer
152 views

Is $\left( \begin{array}{cc} a&b \\ c&-a\\ \end{array} \right)$ similar to $\left( \begin{array}{cc} 0&-1 \\ 1&0\\ \end{array}\right)$ if $a^2+bc=-1$?

2 votes
1 answer
82 views

$P_2$-groups are not always $P_3$-groups : a group by Blackburn

2 votes
1 answer
396 views

show $\int_0^1 f(t)g(t) dt$ is a non-degenerate scalar product

2 votes
1 answer
375 views

Why is the axiom of choice not taught from the start to mathematics undergraduates?

2 votes
2 answers
1k views

Writing a vector as the sum of orthogonal vectors

1 vote
1 answer
587 views

Proof of De Moivre's theorem using generating functions

1 vote
3 answers
1k views

Linear Combination of Roots of Unity

1 vote
2 answers
2k views

Number of committees of size $5$ with at least $2$ women from a society with $10$ men and $12$ women

1 vote
2 answers
82 views

When does $x^n - a$ have rational solutions?

1 vote
1 answer
630 views

Area: concentric circles vs concentric rectangles

1 vote
1 answer
74 views

Are there finitely many integral vectors $v \in V$ satisfying $||v|| \leq 1$?

1 vote
1 answer
51 views

If $G$ is minimal non $P_1$-group with a maximal subgroup $M \leq G$, then $|\mho_1(M)|\leq p$.

1 vote
1 answer
314 views

Frequency of gaps between consecutive prime numbers

1 vote
0 answers
31 views

Geometric interpretation for the binary expansion using gradient

0 votes
1 answer
47 views

Is a section of a minimal non $P_1$-group a $P_1$-group?

0 votes
1 answer
40 views

Does $[H,H] =[N,H]$ where $H = \langle N , x \rangle$ and $ N \trianglelefteq G$?

0 votes
1 answer
36 views

minmum number of subsets of $\{1, 2, 3, ... , n\}$, each of cardinality $r$, required such that their intersection is $\{1, 2, 3, ... , m\}$

0 votes
1 answer
36 views

Is $\frac{p}{2(p+1)} +\frac{q}{2(q+1)} + \frac{r}{2(r+1)} < 1$ equivalent to $\frac{1}{p+1} +\frac{1}{q+1} + \frac{1}{r+1} > 1 $?