--- 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: $$ \sigma_{F_s} = \frac{\sum_{i \in F_s} \sigma_i C_i} {\sum_{i \in F_s} C_i} $$