Timeline for Volume change under linear transformation
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Nov 9, 2011 at 21:48 | comment | added | Vít Tuček | Yes, you are right. I've corrected the formula. I do not claim that this formula gives you what you want. It just popped up in my head when I read your question and I thought it might help you in your case. Anyway - from the decomposition of $A$ it is clear that what you really care about is how the projection $P$ of your measurable set $S$ changes its volume. | |
| Nov 9, 2011 at 21:42 | history | edited | Vít Tuček | CC BY-SA 3.0 |
wrong dimensions in the last sentence
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| Nov 9, 2011 at 21:33 | comment | added | Grigory Yaroslavtsev | Thank you, but I am not sure I understand how can this be used to compute the $\mathcal{L}^m(f(S))$, which I am interested in. Also, shouldn't the formula have $\mathcal{H}^{n - m}$, rather than $\mathcal{H}^{m - n}$ on the left-hand side? | |
| Nov 9, 2011 at 20:06 | history | edited | Vít Tuček | CC BY-SA 3.0 |
added 581 characters in body
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| Nov 9, 2011 at 19:54 | history | edited | Vít Tuček | CC BY-SA 3.0 |
deleted 23 characters in body
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| Nov 9, 2011 at 19:44 | history | answered | Vít Tuček | CC BY-SA 3.0 |