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torus Definition

to·rus (rəs, tôrəs)

noun pl. -·ri′-rī′, -ī

  1. Anat. any rounded projection or swelling
  2. Archit. a large, convex molding used at the base of columns, etc., just above the plinth
  3. Bot.
    1. receptacle (sense )
    2. a thick spot at the center of the pit membrane in bordered pits of xylem cells
  4. Geom. a surface, or its enclosed solid, generated by the revolution of a conic about any line that is external to the conic but in the same plane, as a doughnut-shaped figure that is generated by a circle or an ellipse

Etymology: L, a bulge, muscle

torus Usage Examples

Preposition: of

  • gas: Many AGN also show evidence for a huge torus of gas around the black hole.
  • dimension: Our method can be seen as a direct generalization of methods for periodic orbit continuation and it is extensible to tori of arbitrary dimension.

Converse of object

  • form: It also strips some material away from Io which forms a torus of intense radiation around Jupiter.
  • puncture: Here is a two dimensional slice through the Teichmüller space of the twice punctured torus drawn with some of the pleating rays.
  • pinch: A proof that homoclinic trajectories in the form of pinched tori imply monodromy in two degree of freedom integrable systems has also been given.
  • define: As an example let's define a torus the hard way.

Adjective modifier

  • invariant: Invariant torus: A torus where any trajectories on its surface do not change, despite any change in control space.
  • dusty: What is the nature of the massive dusty torus believed to surround Active Galactic Nuclei?
  • dimensional: Abstract: By definition, Brownian motions on the infinite dimensional torus have continuous sample paths.
  • two-dimensional: Agents were located on a two-dimensional torus and were given resources to exchange with other agents.
  • spherical: The liquid wall can conceivably be applied to future magnetic fusion reactors, whether a spherical torus, a tokamak, or another design.
  • solid: These two ways, are shown as the two anchor rings, or solid tori, on the screen.

Modifies a noun

  • T: Exercise 6.9 Calculate the fundamental group of the n -fold torus T n = S 1 x.. .
  • knot: Fig 13: The trefoil as a torus knot.
  • map: We examine our invariant measure approximation in more detail, and include encouraging numerical examples for the Hénon system and a nonlinear torus map.
  • grid: Expectation level E = 30 % , Initial cluster of 9 × 9 = 81 contributors, 50 × 50 torus grid.

Noun used with modifier

  • dust: Based on rather circumstantial evidence, jets are thought to emerge from the AGN at right angles to the dust torus.
  • power: The cam is contained in a power torus with dry manned access.
  • plasma: This material becomes ionized in the magnetic field and forms a doughnut-shaped cloud of intense radiation referred to as a plasma torus.
  • plane: The world is no longer a plane torus, its boundaries are not connected.

Browse dictionary entries near torus

  1. torula
  2. Toruń
  3. torture
  4. tortuous
  5. tortuosity
  6. Tortuga
  7. tortricid
  8. tortoni
  9. Tortola
  10. tortoiseshell
  1. Torvalds, Linus
  2. Tory
  3. ToS
  4. Toscana
  5. Toscanini
  6. tosh
  7. toss
  8. toss off
  9. toss-up
  10. tosspot