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1 кусочно-линейное многообразие
Русско-английский научно-технический словарь Масловского > кусочно-линейное многообразие
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2 кусочно-линейное многообразие
Mathematics: piecewise-linear manifoldУниверсальный русско-английский словарь > кусочно-линейное многообразие
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Piecewise linear manifold — In mathematics, a piecewise linear (PL) manifold is a topological manifold together with a piecewise linear structure on it. Such a structure can be defined by means of an atlas, such that one can pass from chart to chart in it by piecewise… … Wikipedia
Piecewise linear — may refer to:* Piecewise linear function * Piecewise linear manifold … Wikipedia
Piecewise linear function — In mathematics, a piecewise linear function :f: Omega o V, where V is a vector space and Omega is asubset of a vector space, is any function with the property that Omega can be decomposed into finitely many convex polytopes, such that f is equal… … Wikipedia
Piecewise linear continuation — implicial ContinuationSimplicial Continuation, or Piecewise Linear Continuation (Allgower and Georg [1] , [3] ) is a one parameter continuation method which is well suited to small to medium embedding spaces. The algorithm has been generalized to … Wikipedia
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
Kervaire manifold — In mathematics, specifically in differential topology, a Kervaire manifold K4n+2 is a piecewise linear manifold of dimension 4n+2 constructed by Kervaire (1960) by plumbing together the tangent bundles of two 2n+1 spheres, and then gluing a ball… … Wikipedia
Digital manifold — In mathematics, a digital manifold is a special kind of combinatorial manifold which is defined in digital space i.e. grid cell space. A combinatorial manifold is a kind of manifold which is a discretization of a manifold. It usually means a… … Wikipedia
4-manifold — In mathematics, 4 manifold is a 4 dimensional topological manifold. A smooth 4 manifold is a 4 manifold with a smooth structure. In dimension four, in marked contrast with lower dimensions, topological and smooth manifolds are quite different.… … Wikipedia
3-manifold — In mathematics, a 3 manifold is a 3 dimensional manifold. The topological, piecewise linear, and smooth categories are all equivalent in three dimensions, so little distinction is usually made in whether we are dealing with say, topological 3… … Wikipedia
Simplicial manifold — In mathematics, the term simplicial manifold commonly refers to either of two different types of objects, which combine attributes of a simplex with those of a manifold. Briefly; a simplex is a generalization of the concept of a triangle into… … Wikipedia
5-manifold — In mathematics, a 5 manifold is a 5 dimensional topological manifold, possibly with a piecewise linear or smooth structure.Non simply connected 5 manifolds are impossible to classify, as this is harder than solving the word problem for groups.… … Wikipedia