Timeline for Gaussian Integrals over Spheres
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 15, 2019 at 4:45 | comment | added | KConrad | Every positive definite matrix is the square of a real symmetric matrix: $\Sigma = S^2$ with $S^\top = S$. Then, using dot products, $$\mathbf v^\top \Sigma \mathbf v = \mathbf v \cdot \Sigma \mathbf v = \mathbf v \cdot SS\mathbf v = S^\top \mathbf v \cdot S\mathbf v = S\mathbf v \cdot S\mathbf v = ||S\mathbf v||_2^2$$. | |
| May 15, 2019 at 4:18 | comment | added | user550008 | Yes, thanks. I updated the question. | |
| May 15, 2019 at 4:18 | history | edited | user550008 | CC BY-SA 4.0 |
added 10 characters in body
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| May 15, 2019 at 4:13 | comment | added | KConrad | You surely do not want $\Sigma$ to be a general matrix. Perhaps it should be positive definite? | |
| May 15, 2019 at 2:25 | review | First posts | |||
| May 15, 2019 at 4:40 | |||||
| May 15, 2019 at 2:25 | history | asked | user550008 | CC BY-SA 4.0 |