Hamiltonian

Pronunciation: /ˌhæmɪlˈtəʊ.ni.ən/

The English word “Hamiltonian” has 12 meanings listed here.

adjective

Of, attributed to or inspired by the Irish mathematician, astronomer and physicist William Rowan Hamilton (1805–1865).
That visits each vertex exactly once.
Containing a Hamiltonian cycle.
Advocated by American politician Alexander Hamilton (1755–1804).
Relating to James Hamilton (1769–1831), or his method of teaching languages without grammar, by a literal interlinear word-for-word translation.
Of, relating to, or in the literary style of Edmond Hamilton (1904–1977), American science fiction writer.
Relating to Sir William Hamilton, 9th Baronet (1788–1856), Scottish metaphysician.
Of or relating to any city named Hamilton.

A function (of time), denoted H, that corresponds to the total energy of the system.
The observable, denoted H, that corresponds to the total energy of the system.
A member of the faction of the US government in the George Washington administration led by Alexander Hamilton.
A native or inhabitant of any city named Hamilton.

From Hamilton (a surname) + -ian.

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Definitions are from Wiktionary, extracted by Kaikki.org, and are available under the CC BY-SA 4.0 licence.