Hamiltonian

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See also: hamiltonian

English[edit]

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Etymology 1[edit]

From Hamilton(a surname) +‎ -ian, alluding to either Irish mathematician William Rowan Hamilton (1805-1865) or American politician Alexander Hamilton (1755-1804).

Adjective[edit]

Hamiltonian ‎(not comparable)

  1. (mathematics) Of, attributed to or inspired by William Rowan Hamilton.
  2. (mathematics, graph theory, of a cycle/path) That visits each vertex exactly once.
  3. (mathematics, graph theory, of a graph) Containing a Hamiltonian cycle.
  4. (historical, chiefly US, of certain fiscal policies) Advocated by Alexander Hamilton.
Derived terms[edit]

Noun[edit]

Hamiltonian ‎(plural Hamiltonians)

  1. (physics, quantum mechanics) The observable, denoted by H, that corresponds to the total energy of the system.
  2. (historical, chiefly US) A member of the faction of the US government in the George Washington administration led by Alexander Hamilton.
Derived terms[edit]
Translations[edit]

Etymology 2[edit]

From Hamilton(a place name) +‎ -ian.

Adjective[edit]

Hamiltonian ‎(comparative more Hamiltonian, superlative most Hamiltonian)

  1. Of or relating to any city named Hamilton.

Noun[edit]

Hamiltonian ‎(plural Hamiltonians)

  1. A native or inhabitant of any city named Hamilton.