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Apr
6
comment Ito's Integral's definition: Importance of isometry
Ah, I see. This just shows how I lack confidence and intuition in a topic I know (so far) very little about. I think I understand both arguments. This one seems clearer, we just show that $\phi_n$ form a Cauchy sequence in a complete space, fine. So what was wrong/unrigorous with the previous approach?
Apr
5
accepted Ito's Integral's definition: Importance of isometry
Apr
5
comment Ito's Integral's definition: Importance of isometry
Thanks, now it's completely clear!
Apr
5
revised Ito's Integral's definition: Importance of isometry
No views - more catchy title, perhaps
Apr
5
revised Ito's Integral's definition: Importance of isometry
"limit of limit"
Apr
5
asked Ito's Integral's definition: Importance of isometry
Apr
2
comment how to solve this limit
Hint: Try factoring out the $\sqrt{x}$ and use limit arithmetic
Apr
1
comment Markov chains: Condtitional independence implies independence?
Edited, hopefully making the question clearer
Apr
1
revised Markov chains: Condtitional independence implies independence?
improved the question, hopefully
Apr
1
comment History and early development of Mathematics
Some help may also be found in these series of lectures (highly recommended, by the way!) youtube.com/playlist?list=PL34B589BE3014EAEB
Mar
31
comment Markov chains: Condtitional independence implies independence?
Not sure what you mean, but $T_i=\tau_j(i)-\tau_j(i-1)$ where $\tau_j(i)$ is the time of i-th return to the state $j$
Mar
31
revised Markov chains: Condtitional independence implies independence?
added details
Mar
31
asked Markov chains: Condtitional independence implies independence?
Mar
31
comment Eigenvalues of nilpotent matrices
I will have to read a bit more on $\mathbb R^0$! Thanks.
Mar
31
accepted Eigenvalues of nilpotent matrices
Mar
30
comment Eigenvalues of nilpotent matrices
Point 2 is false for $k=0$? I didn't even know there could be $k=0$! What is a $0\times 0$ matrix? Also, what do you mean by "anything implies 1"?
Mar
28
comment Eigenvalues of nilpotent matrices
@Batman and the implication $\Leftarrow$ is in these two claims, too? I don't see that.
Mar
28
comment Eigenvalues of nilpotent matrices
and sorry for perhaps a bit nitpicky stream of claims to validate, but I just wanted to make sure my understanding is 100% correct
Mar
28
comment Eigenvalues of nilpotent matrices
added the obligatory question, to make things clear
Mar
28
revised Eigenvalues of nilpotent matrices
added 29 characters in body