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Update Lecture10.md
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lecture_files/Lecture10.md

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@@ -172,7 +172,7 @@ ensemble (with $NVT$ fixed) is given as:
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```{math}
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:label: app_a_ensemble_average
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$\langle Y \rangle = \frac{\int d \mathbf{r}^N \exp \left [ -\beta E(\mathbf{r}^N) \right ] Y(\mathbf{r}^N) }{\int d \mathbf{r}^N \exp \left [ -\beta E(\mathbf{r}^N) \right ]}$
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\langle Y \rangle = \frac{\int d \mathbf{r}^N \exp \left [ -\beta E(\mathbf{r}^N) \right ] Y(\mathbf{r}^N) }{\int d \mathbf{r}^N \exp \left [ -\beta E(\mathbf{r}^N) \right ]}
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```
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@@ -359,4 +359,4 @@ inhibiting an accurate calculation. Instead, we would like to perform
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**importance sampling**, by only examining configurations with finite
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contributions to the ensemble average.
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## [Link to Shared Notes](https://docs.google.com/document/d/1RMdd6sLOoR0m7yjreIfVE3SQp3Ib6X77/edit?usp=drive_link&ouid=113272049620170441297&rtpof=true&sd=true)
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## [Link to Shared Notes](https://docs.google.com/document/d/1RMdd6sLOoR0m7yjreIfVE3SQp3Ib6X77/edit?usp=drive_link&ouid=113272049620170441297&rtpof=true&sd=true)

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