standard torus
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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
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 — 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
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
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
Madison Symmetric Torus — Infobox Magnetic Fusion Device name = Madison Symmetric Torus dev type=Reversed field pinch loc=Madison, Wisconsin, USA rad maj = 1.50 m rad min = 52 cm aspect = 2.88|The Madison Symmetric Torus (MST) is a reversed field pinch (RFP) physics… … 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
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
solid torus — noun a) The topological space that is a Cartesian product of the 2 dimensional disk and the circle. b) The standard representation of that topological space within Euclidean 3 dimensional space … Wiktionary
Тор (поверхность) — У этого термина существуют и другие значения, см. Тор. Красным образующая окружность Тор (тороид) поверхность вращения, получаемая вращением образующей окружности вокруг оси, лежащей в … Википедия
Alexander horned sphere — The Alexander horned sphere is one of the most famous pathological examples in mathematics discovered in 1924 by J. W. Alexander. It is the particular embedding of a sphere in 3 dimensional Euclidean space obtained by the following construction,… … Wikipedia
