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torus

Definitions

  • WordNet 3.6
    • n torus commonly the lowest molding at the base of a column
    • n torus a ring-shaped surface generated by rotating a circle around an axis that does not intersect the circle
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Webster's Revised Unabridged Dictionary
    • Torus (Arch) A large molding used in the bases of columns. Its profile is semicircular. See Illust. of Molding.
    • Torus (Zoöl) One of the ventral parapodia of tubicolous annelids. It usually has the form of an oblong thickening or elevation of the integument with rows of uncini or hooks along the center. See Illust. under Tubicolæ.
    • Torus (Bot) The receptacle, or part of the flower on which the carpels stand.
    • Torus (Geom) The solid inclosed by such a surface; -- sometimes called an anchor ring.
    • Torus (Geom) The surface described by the circumference of a circle revolving about a straight line in its own plane.
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Century Dictionary and Cyclopedia
    • n torus In geometry, a tore or anchor-ring. See tore, 2.
    • n torus In architecture, a large convex molding of semicircular profile or a profile of kindred curve, used especially in bases, generally as the lowest member of the base, above the plinth when this is present. It differs from the astragal only in size, the astragal being much smaller. Sometimes called tore. See also cuts under base and column.
    • n torus In botany, the receptacle of a flower; the more or less enlarged extremity of a stem or floral axis upon which the floral organs are situated. See receptacle, 2, and cut under myrtle.
    • n torus In anatomy, a smooth rounded ridge or elongated protuberance, as of a muscle; specifically, the tuber cinereum of the brain, or that part of the floor of the third ventricle which is prolonged downward to form a contracted passage from the cavity of the third ventricle into that of the pituitary body.
    • n torus In zoology, some part or organ likened to a torus; specially, a ventral parapodium of some annelids.
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Chambers's Twentieth Century Dictionary
    • n Torus tō′rus (archit.) a moulding in the base of columns, the profile of which is semicircular: :
    • n Torus tō′rus (bot.) the receptacle or part of the flower on which the carpels stand
    • n Torus tō′rus (anat.) a rounded ridge, esp. one on the occipital bone of the skull
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Etymology

Webster's Revised Unabridged Dictionary
L., a round, swelling, or bulging place, an elevation. Cf. 3d Tore
Chambers's Twentieth Century Dictionary
L., a round, swelling place, an elevation.

Usage

In literature:

My Lord Ogilvie parted from me on the fairest terms, bringing me with his own hands a great stirrup-cup, or "dock-an-torus," as he called it.
"The Yeoman Adventurer" by George W. Gough
Torus (molding) 95 190.
"Carpentry for Boys" by J. S. Zerbe
In Assyrian architecture, where it served to carry wooden posts or columns, it took the form of a large torus moulding with enrichments.
"Encyclopaedia Britannica, 11th Edition, Volume 3, Part 1, Slice 3" by Various
Both nose and eyes are overhung by a thick torus.
"Two Years with the Natives in the Western Pacific" by Felix Speiser
The latter is a true cornice, composed of a small torus or bead, a scotia, and a fillet.
"A History of Art in Chaldæa & Assyria, v. 1" by Georges Perrot
The semi-circular arch of the gate is formed of a grain adorned with a simple torus molding.
"Romanesque Art in Southern Manche: Album" by Marie Lebert
B, Section through core, or torus (C) and drupels (D).
"Encyclopaedia Britannica, 11th Edition, Volume 3, Slice 5" by Various
A similar band of ornament runs round the top of the walls outside, and at their base is a reeded torus.
"Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 7" by Various
Fragment of the base of an unfinished column, with torus moulding and horizontal flutings only partially carried out.
"A Catalogue of Sculpture in the Department of Greek and Roman Antiquities, British Museum, Volume I (of 2)" by A. H. Smith
Torus of column with Swastikas.
"The Swastika" by Thomas Wilson
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In news:

To rotate a face, select the face to be rotated, then reposition the Steering Wheel by dragging the origin so the torus is perpendicular.
Torus AVR Series Juices Up Your Theater.
Torus Power has introduced its AVR Series of power conditioning products, with six models for the North American market.
Torus Expands Products, Hires Four in Senior Roles.
Privately-held third party logistics provider Transplace said Thursday it has acquired Torus Freight Systems, a Canadian 3PL specializing in cross-border and intra-Canada freight management.
Ontario-based Torus is the third small acquisition for Transplace in the past two years.
Transplace acquires Torus Freight Systems, expands Canadian presence.
Transplace, a provider of transportation management services and logistics technology, announced it has acquired Torus Freight Systems, a Canadian-based logistics services company focused on Canadian cross-border and intra-Canada freight .
Among these, according to Mr Lochbaum, were changes to the torus — a water-filled vessel encircling the primary containment vessel that is used to reduce pressure in the reactor.
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In science:

We show that the NCOS (noncommutative open string) theories on torus T p (p ≤ 5) are U-dual to matrix theory on torus with electric flux background.
U-duality Between NCOS Theory and Matrix Theory
When Ea and Eb are both nonzero (i.e. both oscillators are actually excited) these also lie on a torus T2 ⊂ S 3, and the circle S 1 corresponding to the solution is a combination of the two fundamental cycles of the torus.
Hyperhamiltonian dynamics
The torus Mf = F −1 (f ) is homeomorphic to the standard torus T ∞ .
Nonlinear Schrodinger, infinite dimensional tori and neighboring tori
For instance if the torus T is a complex manifold, then the dual torus is also naturally a complex manifold.
Mirror Symmetry and Generalized Complex Manifolds
The geometry of torus bundles and the dual of a torus bundle.
Mirror Symmetry and Generalized Complex Manifolds
By contrast, in the case of torus bundles, the topology of a torus bundle has given us a natural flat connection on V and so we need not make any additional choices.
Mirror Symmetry and Generalized Complex Manifolds
The derived group of ZG(S ), the centralizer of the torus S in G, is called the anisotropic kernel of the group G with respect to the torus S ([44, § 2]).
Arithmetic of algebraic groups
The kernel of the map φ is finite, hence the image of the torus T under the map φ is a 1-dimensional split torus in G.
Arithmetic of algebraic groups
Compared with other examples of noncommutative geometry, the Chern character of noncommutative torus is easily understood because it takes the values in the real cohomological group of the commutative torus .
Noncommutative Riemann Conditions
W = (w ∈ [v∈V ∂v | Tw 6⊂ ∂M ), W∂ = (w ∈ [v∈V ∂v | Tw ⊂ ∂M ) . A torus Tw, w ∈ W is called gluing torus.
Obstructions for generalized graphmanifolds to be nonpositively curved
The gluing diffeomorphisms induce a permutation ϕ : W → W (the torus Tw, w ∈ W is glued with torus Tϕ(w) in M ).
Obstructions for generalized graphmanifolds to be nonpositively curved
When the representation arises from a real one-cone/cusp/holed torus, then h and h correspond to the gaps on the boundary of the torus arising from intersecting geodesics, see or, we give a more detailed description in Appendix A.
Generalized Markoff Maps and McShane's Identity
If there are none, so both D1, D2 are non-separating, then F2 is a single torus; if the solid torus it bounds lies in X2 then the original X was a handlebody and we are done.
Generalized Property R and the Schoenflies Conjecture
After a torus unknotting, F2 also bounds a solid torus in X2 and X is a handlebody, as required.
Generalized Property R and the Schoenflies Conjecture
As noted above, the interior of W1 is disjoint from F1 and so, perhaps after a torus unknotting, we can assume that W1 is a solid torus.
Generalized Property R and the Schoenflies Conjecture
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