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location California
age 31
visits member for 2 years, 8 months
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1d
comment Different ternary representations
Oh, no I have not. I will look this up.
Oct
15
comment Kernel of cononical ring homomorphism
This helps clear things up. Thank you!
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
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
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
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.
Oct
2
comment Center of finite group with 3 conjugacy classes has order 1
I'm not sure what you mean. The line after this was left as an exercise and that's where I'm stuck.
Sep
3
comment Ordinary Differential Equations divergence of successive approximations
I think the reason I confused the two was because right after it explains the Euler method, it gives this example (non Lipschitz continuous).
Sep
3
comment Ordinary Differential Equations divergence of successive approximations
Oh, I see the difference. Thank you!
Jul
28
comment Diagonal matrices and integrals
Sorry, let me try to get a better example. Say it is $\frac{1}{B+xI}$
Jul
28
comment Diagonal matrices and integrals
Oops, I didn't finish the bottom correctly. I fixed it.
Jul
27
comment Fundamental Theorem of Calculus and limit
Ahh, caught it. Thanks!
Dec
6
comment Divergence of the series $2^{-1/n}$
Yes, I should probably explain the error. Thank you for that. The word "fathom" is a little strong in this context, that is all I was saying. Upon first reading of your comment I interpreted it as "I have no idea how you possibly got this limit wrong" which is clearly not constructive to learning any subject.
Dec
6
comment Divergence of the series $2^{-1/n}$
I'm not sure how I got the limit I did but I see the solution. I edited my solution above. Thank you for your help.
Dec
6
comment Divergence of the series $2^{-1/n}$
It was an error in the calculation. I believe I fixed the solution. A little advice though, saying "I cannot fathom how you got 1" is very discouraging to someone learning mathematics.
Nov
18
comment $\left<2,x\right>$ is a maximal ideal of $\Bbb Z[x]$
Oh, I think I see it now. Are you thinking of using the 1st iso theorem? If I did the work correctly, the kernel of this mapping $\left<2,x\right>$, correct?
Nov
18
comment $\left<2,x\right>$ is a maximal ideal of $\Bbb Z[x]$
I'm sorry, but the notation here "$\widehat{P(0)}$" means what exactly? I like that you said this because I thought about this but didn't think it would work.
Nov
18
comment $\left<2,x\right>$ is a maximal ideal of $\Bbb Z[x]$
I see! This problem has been bugging me for a couple of days. Thank you for the assistance.