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1d
comment Proof if $0\leq a,b<1$ then $a+b<1+ab$
Oh, this is even sweeter +1. Although I was looking at a broader technique which could be applied.
1d
comment Finding the adherent points of $A=\left\{\left(1/n,1/m\right)|n,m\in\mathbb{N}\right\}$
I had a small typo. I fixed it,
1d
comment Elementary Twin Prime Attempt.
I don't know, it certainly implies there is at least one $k$ for which there are infinitely many $2k$-separated primes. But it doesn't imply for every $k$ sufficiently large the result will hold.
1d
comment Elementary Twin Prime Attempt.
Could you cite the theorem that is out there?
2d
comment Is $S_5$ isomorphic with the direct product $A_5 \times Z_2$?
e.e${}{}{}{}{}{}{}$
2d
comment Is $S_5$ isomorphic with the direct product $A_5 \times Z_2$?
Now I'm confused. how does $\{e,e\}$ have $5389$ elements?
2d
comment Is $S_5$ isomorphic with the direct product $A_5 \times Z_2$?
Yes. But $x\neq e$.
2d
comment Is $S_5$ isomorphic with the direct product $A_5 \times Z_2$?
$\{e,e\}$ is a normal subgroup of size $2$. Am I wrong?
2d
comment Number of divisors $d$ of $n^2$ so that $d\nmid n$ and $d>n$
It does. The number of values so that $d<n$ is intimately related to the number of values of $d$ so that $d$ does not divide $n$
2d
comment Number of divisors $d$ of $n^2$ so that $d\nmid n$ and $d>n$
The question is formatted like that because it gives you a hint.
2d
comment The concept of parity for members in a group
So $a^{2c+1}$??
2d
comment The concept of parity for members in a group
$a^c+a^{c+1}$? what is adition?
2d
comment What phenomenon is this? $(2\Bbb{Z} + 1)\cup 3\Bbb{Z} = 2\Bbb{Z} \cup 3\Bbb{Z} + 3$
@JeremyBrazas I think he means $(2\mathbb Z \cup 3\mathbb Z)+3$
Aug
31
comment Prove or disprove divisibility claims?
How can the second question be out of your scope, that is inconsistent with your username.
Aug
31
comment Prove or disprove divisibility claims?
$a)$ is false, try to look for a counterexample.
Aug
31
comment If $|H|=112$ then $A_7\cap H \lhd H$?
How are you going to make $A_7$ fit inside a group of size $112$? Taking $H=G$ is not possible.
Aug
31
comment Unions of subspaces
It just indicates sum.
Aug
31
comment Given $k$ distinct linear operators, prove such an $\alpha$ exists
It should have said "infinite field" instead of "infinite set". Fixed.
Aug
31
comment Given $k$ distinct linear operators, prove such an $\alpha$ exists
I transcribed the proof of the theorem here: math.stackexchange.com/a/1363474/33907 . Although it is explained better in Roman's book.
Aug
31
comment Given $k$ distinct linear operators, prove such an $\alpha$ exists
What is a number field?