Stupid questions thread:
Post your ridiculous questions here.
SQT
a is trivial
b is trivial by contradiction
c looks easy
d is easy trial and error
I've heard that as an object accelerates to the speed of light, it gains mass from increasing kinetic energy. To accelerate it to 100% of the of light, it would take infinite energy. So would the object then have infinite mass? If so, would it then collapse into a black hole that would have an ever expanding event horizon due to its infinite mass?
It never gets to 100% due to the energy requirement, you said it yourself.
is westworld the most Veeky Forums show
or is it vice principals
care to elaborate on a
Start with [math]S_0=\{x_1^{e_1}\}[/math], then iteratively let [math]S_{n+1}=\{xy|x,y\in S_n\}[/math]. Clearly [math]S_n=\{x_1^{e_1}...x_k^{e_k}|k\leq 2^n\}[/math]. Then [math]S_\infty[/math] has closure (verify), inverses (verify) and identity.
Also, I think any coprime of 45 suffices for d.
Ahhh I get it now. And I was thinking the same thing for d. Any little pointers for c?
Not familiar with the notation of M used there.
By the notation, I would guess that the group itself is finite.
M1000(Z1000) is the ring of 1000x1000 matrices with entries from Z1000