Testing math stufff

scratch.page

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+---
+title: Scratch Page
+toc: no
+format: markdown
+...
+
+# Math Stuff
+
+On observation of $\mathcal{D}$, the *likelihood* of hypothesis
+$\mathcal{R}_{\alpha}$ is
+$\mathit{P}(\mathcal{D}|\mathcal{R}_{\alpha})$.
+
+## Fingerprint Variance
+
+Additionally, we associate a collective **RSS Variance**
+$\sigma_{F_s}$ with each fingerprint, which is a weighed average of
+the RSS values of each of the vector elements using $C_i$ as the
+weight. It is calculated in this manner:
+
+$$
+\sigma_{F_s} = \frac{\sum_{i \in F_s} \sigma_i C_i}
+                    {\sum_{i \in F_s} C_i}
+$$