torus
torus
Definition
to·rus (tō′rəs, tôr′əs)
noun pl. -·ri′-rī′, -ī
- Anat. any rounded projection or swelling
- Archit. a large, convex molding used at the base of columns, etc., just above the plinth
- Bot.
- receptacle (sense )
- a thick spot at the center of the pit membrane in bordered pits of xylem cells
- 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.
