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Hamiltonian

American  
[ham-uhl-toh-nee-uhn] / ˌhæm əlˈtoʊ ni ən /

adjective

  1. pertaining to or advocating Hamiltonianism.


noun

  1. a supporter of Alexander Hamilton or Hamiltonianism.

Hamiltonian British  
/ ˌhæməlˈtəʊnɪən /

noun

  1. a mathematical function of the coordinates and momenta of a system of particles used to express their equations of motion

  2.  H.  a mathematical operator that generates such a function

"Collins English Dictionary — Complete & Unabridged" 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

adjective

  1. denoting or relating to Sir William Rowan Hamilton, or to the theory of mechanics or mathematical operator devised by him

"Collins English Dictionary — Complete & Unabridged" 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
Hamiltonian Scientific  
/ hăm′əl-tōnē-ən /
  1. A mathematical function or operator that can be used to describe the state of a physical system. In classical mechanics, the Hamiltonian is a function of coordinates and momenta of bodies in the system, treated as independent variables. It is equal to the sum of the kinetic and potential energies of the system, and can be used to derive the equations of motion for the system. In quantum mechanics, the Hamiltonian is an operator corresponding to the total energy of the system. The Hamiltonian is named after Irish mathematician William Rowan Hamilton (1805–1865).


Etymology

Origin of Hamiltonian

An Americanism dating back to 1790–1800; Hamilton + -ian

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Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

Her Hamiltonian Artists show simulates 360-degree vision by placing pictures up, down and around: stuck to the floor, bent from floor to wall, or mounted above the average visitor’s eye line.

From Washington Post

Twigs, plaster and road signs are among the mundane things repurposed or reimagined in “New. Now. 23,” Hamiltonian Artists’ showcase of its latest quintet of artistic fellows.

From Washington Post

Pieces by seven former Hamiltonian Artworks fellows are scattered through galleries filled primarily with items from the permanent collection — and even installed in a fireplace, which is where Amy Boone-McCreesh’s “Good Luck Charms” hangs.

From Washington Post

Although many historians have narrated the rise of two opposing political parties in the 1790s, it is Kaplan who fully captures the emotional intensity of Jefferson’s hatred of Hamiltonian policies and the nationalists’ attachment to urban life.

From Washington Post

Lithium may be the most-sought metal today, but the title of Stephanie Garon’s Hamiltonian Artists show refers to the best-known instance of mining mania: “Gold Rush.”

From Washington Post