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What does this vertical line notation mean?

Here is the definition of the Noether momentum in my script. $$I = \left.\frac{\partial L}{\partial \dot{x}} \frac{d x}{d \alpha} \right|_{\alpha=0} = \frac{\partial L}{\partial \dot{x}} = m \dot{x} = ...
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The $\delta$ notation in Goldstein's Classical Mechanics on the calculus of variation

In Goldstein's classical mechanics (page 36) he introduces the basics of the calculus of variation and uses it to effectively the Euler-Lagrange equations. However, there is a step in which the $\...