n-dimensional torus
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Torus — Not to be confused with Taurus (disambiguation). This article is about the surface and mathematical concept of a torus. For other uses, see Torus (disambiguation). A torus As the distance to th … Wikipedia
Torus bundle — In mathematics, in the sub field of geometric topology, a torus bundle is a kind of surface bundle over the circle, which in turn are a class of three manifolds.ConstructionTo obtain a torus bundle: let f be an orientation preserving… … Wikipedia
torus — noun /ˈtɔːrəs/ a) A topological space which is a product of two circles. A 4 variable Karnaugh map can be thought of, topologically, as being a torus. b) The standard representation of such a space in 3 dimensional Euclidean space: a shape… … Wiktionary
Triple torus — or three torus can refer to one of the two following concepts, both related to a torus.Three dimensional torusThe three dimensonal torus, or triple torus, is defined as the Cartesian product of three circles, :mathbb{T}^3 = S^1 imes S^1 imes… … Wikipedia
Linear flow on the torus — In mathematics, esecially in the area of mathematical analysis known as dynamical systems theory, a linear flow on the torus is a flow on the n dimensional torus:mathbb{T}^n = underbrace{S^1 imes S^1 imes cdots imes S^1} nwhich is represented by… … Wikipedia
Clifford torus — In geometric topology, the Clifford torus is a special kind of torus sitting inside R4. Alternatively, it can be seen as a torus sitting inside C2 since C2 is topologically the same space as R4. Furthermore, every point of the Clifford torus lies … Wikipedia
Algebraic torus — In mathematics, an algebraic torus is a type of commutative affine algebraic group. These groups were named by analogy with the theory of tori in Lie group theory (see maximal torus). The theory of tori is in some sense opposite to that of… … Wikipedia
Solid torus — In mathematics, a solid torus is a topological space homeomorphic to S^1 imes D^2, i.e. the cartesian product of the circle with a two dimensional disc endowed with the product topology. The solid torus is a connected, compact, orientable 3… … Wikipedia
Maximal torus — In the mathematical theory of compact Lie groups a special role is played by torus subgroups, in particular by the maximal torus subgroups. A torus in a Lie group G is a compact, connected, abelian Lie subgroup of G (and therefore isomorphic to… … Wikipedia
Standard torus — degenerates into a sphere.In mathematics, a standard torus is a circular torus of revolution, that is, any surface of revolution generated by rotating a circle in three dimensional space about an axis coplanar with the circle. When the axis… … Wikipedia
Umbilic torus — Created by Helaman Ferguson, the umbilic torus is a single edged 3 dimensional figure. Ferguson created a 27 inch bronze sculpture, Umbilic Torus, and it is his most widely known piece of art. The torus blurs the distinction between mathematics… … Wikipedia
