207 reputation
19
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location California
age 31
visits member for 2 years, 10 months
seen yesterday

1d
awarded  Yearling
1d
asked Improper Riemann and Lebesgue Integrals
Nov
19
comment representing intervals as infinite intersectiom or union
Yes, but I think my issue is I think of these as limits which I'm sure I wrong.
Nov
19
asked representing intervals as infinite intersectiom or union
Oct
21
accepted Different ternary representations
Oct
19
comment Different ternary representations
Oh, no I have not. I will look this up.
Oct
19
asked Different ternary representations
Oct
15
accepted Kernel of cononical ring homomorphism
Oct
15
comment Kernel of cononical ring homomorphism
This helps clear things up. Thank you!
Oct
15
asked Kernel of cononical ring homomorphism
Oct
6
comment Showing $\mathbb{Z}[\frac{1+\sqrt{D}}{2}]$ is a subring
Sorry, this isn't quite right what I meant was that I get $ax+ay\rho+bx\rho+by\rho^2=ax+by(\rho+\frac{D-1}{4})+(ay+bx)\rho$, which give $(ax+by(\frac{D-1}{4}))+(ay+bx+by)\rho$
Oct
6
accepted Showing $\mathbb{Z}[\frac{1+\sqrt{D}}{2}]$ is a subring
Oct
6
comment Showing $\mathbb{Z}[\frac{1+\sqrt{D}}{2}]$ is a subring
So, $(a+b\rho)(x+y\rho)=(ax+\frac{1}{4}by(\rho+\frac{D-1}{4})+(ay+bx)\rho^2$. Then since $D\equiv 1$ $\frac{D-1}{4}$ must be an integer. And so the $by$ goes with the $\rho$ (I for some reason assumed it was already there?). Thank you!
Oct
6
revised Showing $\mathbb{Z}[\frac{1+\sqrt{D}}{2}]$ is a subring
added 45 characters in body
Oct
6
asked Showing $\mathbb{Z}[\frac{1+\sqrt{D}}{2}]$ is a subring
Oct
3
comment Center of finite group with 3 conjugacy classes has order 1
I'm sorry I was away from my computer. Thank you for the aid, It's helped me understand this a little bit more.
Oct
2
accepted Center of finite group with 3 conjugacy classes has order 1
Oct
2
comment Center of finite group with 3 conjugacy classes has order 1
That's pretty clear, thank you. My last question though is why can we assume that $g=1+a+b$? Why can't the center have more elements than $1_G$ in it? Or am I not looking at this correctly?
Oct
2
comment Center of finite group with 3 conjugacy classes has order 1
My main question is why does the center have order 1.
Oct
2
comment Center of finite group with 3 conjugacy classes has order 1
I gave the full statement above. I'm not sure how else to explain the problem.