Tag

Terminology

In Equation (??):

pi=∂L∂q˙i\begin{align} p_i =\dfrac{\partial L}{\partial \dot{q}_i} \tag{1} \end{align}

is known as the canonical (or generalized) momentum. It becomes especially relevant later when we cover Hamiltonian mechanics.

© Brenton Horne. I do not claim to be infallible, so feel free to open issues or pull requests on GitHub if you notice flaws or things that can be improved.
I favour Oxford spelling, so if you notice I generally use different spelling to Australian spelling, that is probably why.
Homepage. Source code: https://github.com/fusion809/fusion809.github.io.
Website built with Franklin.jl.

Mathematical solver and related pages

Partial differential equation solver (non-interactive)

Heat equation solver

Ordinary differential equation solvers (interactive)

Complex analysis pages

Numerical mathematics

Lagrangian mechanics pages

Other mathematics

Education, my personal opinion largely

Linux


Last modified: October 31, 2026.