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Definitions of Hamiltonian:
  • adjective:   (mathematics) Of, attributed to or inspired by the Irish mathematician, astronomer and physicist William Rowan Hamilton (1805–1865).
  • adjective:   (mathematics, graph theory, of a cycle/path) That visits each vertex exactly once.
  • adjective:   (mathematics, graph theory, of a graph) Containing a Hamiltonian cycle.
  • adjective:   (historical, chiefly US, of certain fiscal policies) Advocated by Alexander Hamilton.
  • adjective:   Relating to James Hamilton (1769-1831), or his method of teaching languages without grammar, by a literal interlinear word-for-word translation.
  • adjective:   Relating to Sir William Hamilton, 9th Baronet (1788–1856), Scottish metaphysician.
  • noun:   (physics, Hamiltonian mechanics) A function (of time), denoted H, that corresponds to the total energy of the system.
  • noun:   (physics, quantum mechanics) The observable, denoted H, that corresponds to the total energy of the system.
  • noun:   (historical, chiefly US) A member of the faction of the US government in the George Washington administration led by Alexander Hamilton.
  • adjective:   Of or relating to any city named Hamilton.
  • noun:   A native or inhabitant of any city named Hamilton.
  • adjective:   Alternative letter-case form of Hamiltonian [(mathematics) Of, attributed to or inspired by the Irish mathematician, astronomer and physicist William Rowan Hamilton (1805–1865).]

(Definitions from Wiktionary)

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