Timeline for How to express the product of elements of a vector with quadratic form?
Current License: CC BY-SA 4.0
6 events
when toggle format | what | by | license | comment | |
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Apr 14, 2023 at 14:41 | review | Close votes | |||
Apr 30, 2023 at 3:06 | |||||
Apr 14, 2023 at 14:22 | history | edited | LSpice | CC BY-SA 4.0 |
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Apr 14, 2023 at 13:39 | comment | added | LSpice | Would $e^{x\cdot\ln(p)}$ do? | |
Apr 14, 2023 at 13:23 | comment | added | Achim Krause | It doesn't seem likely that this is possible. For fixed $p$, if you want to find a $Q$ such that $x^T Q x = p_ip_jp_k$ whenever $x$ is the vector with $1$'s at $i,j,k$, you're looking at $\binom{n}{3}$ linear equations constraining the $n^2$ many entries of $Q$. And they look completely independent. I bet once $n\geq 9$ (where $\binom{n}{3}>n^2$) there is no such $Q$ for generic $p$ anymore. | |
S Apr 14, 2023 at 13:00 | review | First questions | |||
Apr 14, 2023 at 13:00 | |||||
S Apr 14, 2023 at 13:00 | history | asked | christian_lee | CC BY-SA 4.0 |