Timeline for Is there a way to simplify the following trace expression?
Current License: CC BY-SA 3.0
15 events
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Oct 7, 2015 at 22:44 | comment | added | user34626 | I don't think we need the "modulo" anymore: $\delta'_{ij}=1$ if $i=j\in\{0,1,2,\ldots M-1\}$ $\text{modulo}\,(N+M)$. I believe just $\delta'_{ij}=1$ if $i=j\in\{0,1,2,\ldots M-1\}$ will suffice. | |
Oct 7, 2015 at 22:00 | vote | accept | user34626 | ||
Oct 7, 2015 at 22:00 | comment | added | user34626 | I edited the question to add $M<N$, also made a small correction to the conditions for $N_k$ to reflect that. Answer matches perfectly with simulation. Thank you. | |
S Oct 7, 2015 at 21:58 | history | suggested | user34626 | CC BY-SA 3.0 |
Corrected conditions for $N_k$ to reflect the fact that $M<N$. Also last interval for $k$ starts from $N+2$ rather than $N+1$.
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Oct 7, 2015 at 21:54 | review | Suggested edits | |||
S Oct 7, 2015 at 21:58 | |||||
Oct 7, 2015 at 8:51 | history | edited | Carlo Beenakker | CC BY-SA 3.0 |
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Oct 7, 2015 at 8:37 | history | edited | Carlo Beenakker | CC BY-SA 3.0 |
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Oct 6, 2015 at 23:37 | history | edited | Carlo Beenakker | CC BY-SA 3.0 |
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Oct 6, 2015 at 23:31 | history | edited | Carlo Beenakker | CC BY-SA 3.0 |
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Oct 6, 2015 at 21:16 | history | edited | Carlo Beenakker | CC BY-SA 3.0 |
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Oct 6, 2015 at 20:43 | comment | added | user34626 | $Y=\frac{1}{2}\sigma ^2N\text{tr}\mathbf{AA}^H$ does not match with simulation. | |
Oct 6, 2015 at 20:34 | comment | added | user34626 | Thank you for the answer. I'm trying to match the analytical solution you gave with simulation, currently they don't match. I'm trying to figure out why. | |
Oct 6, 2015 at 20:09 | history | edited | Carlo Beenakker | CC BY-SA 3.0 |
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Oct 6, 2015 at 19:40 | history | edited | Carlo Beenakker | CC BY-SA 3.0 |
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Oct 6, 2015 at 19:33 | history | answered | Carlo Beenakker | CC BY-SA 3.0 |