# Tag Info

The calculus of variations seeks to minimize or maximize an entire functional's worth of parameters instead of changing just one parameter. It achieves this by applying standard calculus techniques to the integral of a functional, thereby reducing $\mathbb R \to \mathbb R$ to just one parameter $\in\mathbb R$.
In symbols one considers $\max \int f(x) \ker(x) dx$ rather than $\max f(s)$.