Hamiltonian mechanics

Hamiltonian mechanics is a form of energy conservation formulation or symmetry-preserving principle that has a major influence in modern sciences.

It has the following equational form:

${\mathcal {H}}=T+V\quad ,\quad T={\frac {p^{2}}{2m}}\quad ,\quad V=V(q)$

Note: The above formulation is similar to the accounting equation:

Asset = Liability + Equity

It was known that William Hamilton had explicitly attribute the inspiration of matrix algebra to Luca Pacioli's work on accounting equation.