- one-dimensional manifold
- мат. одномерное многообразие
Большой англо-русский и русско-английский словарь. 2001.
one-dimensional manifold
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Manifold — For other uses, see Manifold (disambiguation). The sphere (surface of a ball) is a two dimensional manifold since it can be represented by a collection of two dimensional maps. In mathematics (specifically in differential geometry and topology),… … Wikipedia
manifold — I (New American Roget s College Thesaurus) adj. multiple, diverse, multiform; copied, repeated. See multitude. II (Roget s IV) modif. Syn. various, numerous, diverse; see complex 1 , different 2 . III (Roget s 3 Superthesaurus) a. varied, various … English dictionary for students
Closed manifold — See also: Classification of manifolds#Point set In mathematics, a closed manifold is a type of topological space, namely a compact manifold without boundary. In contexts where no boundary is possible, any compact manifold is a closed manifold.… … Wikipedia
Manifold decomposition — In topology, a branch of mathematics, a manifold M may be decomposed or split by writing M as a combination of smaller pieces. When doing so, one must specify both what those pieces are and how they are put together to form M. Manifold… … Wikipedia
manifold — manifoldly, adv. manifoldness, n. /man euh fohld /, adj. 1. of many kinds; numerous and varied: manifold duties. 2. having numerous different parts, elements, features, forms, etc.: a manifold program for social reform. 3. using, functioning with … Universalium
Differentiable manifold — A nondifferentiable atlas of charts for the globe. The results of calculus may not be compatible between charts if the atlas is not differentiable. In the middle chart the Tropic of Cancer is a smooth curve, whereas in the first it has a sharp… … Wikipedia
Almost complex manifold — In mathematics, an almost complex manifold is a smooth manifold equipped with smooth linear complex structure on each tangent space. The existence of this structure is a necessary, but not sufficient, condition for a manifold to be a complex… … Wikipedia
Topological manifold — In mathematics, a topological manifold is a Hausdorff topological space which looks locally like Euclidean space in a sense defined below. Topological manifolds form an important class of topological spaces with applications throughout… … Wikipedia
Banach manifold — In mathematics, a Banach manifold is a manifold modeled on Banach spaces. Thus it is a topological space in which each point has a neighbourhood homeomorphic to an open set in a Banach space (a more involved and formal definition is given below) … Wikipedia
Pseudo-Riemannian manifold — In differential geometry, a pseudo Riemannian manifold (also called a semi Riemannian manifold) is a generalization of a Riemannian manifold. It is one of many things named after Bernhard Riemann. The key difference between the two is that on a… … Wikipedia
Calabi–Yau manifold — In mathematics, Calabi ndash;Yau manifolds are compact Kähler manifolds whose canonical bundle is trivial. They were named Calabi ndash;Yau spaces by physicists in 1985, [cite journal | author = Candelas, Horowitz, Strominger and Witten | year =… … Wikipedia
