## Action Integral In variational mechanics, an action integral $\mathcal{S}$ is constructed from: $ \begin{aligned} \mathcal{S} = \int _{{t_{0}}} ^{t_{f}} \mathcal{L} \, dt \end{aligned} $ ## Next notes: - [[2a1a1 Discrete Action Sum of GVMS]] to pursue creation of discrete equations of motion, which requires us to first create a discrete action sum.