How would you define a Hamiltonian in layman's terms? - Quora 
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A Hamiltonian is a mathematical convenience that helps us solve a large class of problems in physics.
Formally, a Hamiltonian system is a dynamical system completely described
Formally, a Hamiltonian system is a dynamical system completely described by math information displays
Hamilton (musical) - Wikipedia, the free encyclopedia
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Wikipedia
Hamilton is a musical about the life of American Founding Father Alexander Hamilton, with .... always have Washington's support, and they seek a way to damage Hamilton's image ("Washington on Your Side"). .... "Ten Duel Commandments" – Laurens, Hamilton, Lee, Burr, and Company; "Meet Me Inside
Overview
Informally, a Hamiltonian system is a mathematical formalism developed by Hamilton to describe the evolution equations of a physical system. The advantage of this description is that it gives important insight about the dynamics, even if the initial value problem cannot be solved analytically. One example is the planetary movement of three bodies: even if there is no simple solution to the general problem, Poincaré showed for the first time that it exhibits deterministic chaos.
, the Hamiltonian.
, is described by the 
and 'position' 
where both Hamilton (musical) -
Hamilton (math musical) - Wikipedia, the free encyclopedia
https://en.wikipedia.org/wiki/Hamilton_(musical)
Wikipedia
Hamilton is a musical about the life of American Founding Father Alexander Hamilton, with music, lyrics and book by Lin-Manuel Miranda. The show, inspired by ...
Hamiltonian Circuits and Paths
Musical numbers ...math codes ...Hamiltonian Circuits and Paths of Dancers and singer
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