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JordiManyer committed Dec 19, 2024
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Expand Up @@ -39,7 +39,7 @@ An important result from [1, Theorem 3.1] is that ``P = M^T``.
!!! details
[1, Lemma 2.6]: A key ingredient is that given ``M`` a matrix we have ``\Sigma (M \Phi) = \Sigma (\Phi) M^T`` since
```math
[\Sigma (M \Phi)]_{ij} = \sigma_i (M_{jk} \varphi_k) = \sigma_i \varphi_k M_{jk} = [\Sigma (\Phi) M^T]_{ij}
[\Sigma (M \Phi)]_{ij} = \sigma_i (M_{jk} \varphi_k) = M_{jk} \sigma_i (\varphi_k) = [\Sigma (\Phi) M^T]_{ij}
```
where we have used that moments are linear.

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