local embedding

local embedding
мат. локальное вложение;
локальное погружение

Большой англо-русский и русско-английский словарь. 2001.

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Смотреть что такое "local embedding" в других словарях:

  • Embedding — In mathematics, an embedding (or imbedding) is one instance of some mathematical structure contained within another instance, such as a group that is a subgroup.When some object X is said to be embedded in another object Y , the embedding is… …   Wikipedia

  • Local flatness — In topology, a branch of mathematics, local flatness is a property of a submanifold in a topological manifold of larger dimension. Suppose a d dimensional manifold N is embedded in an n dimensional manifold M (where d lt; n ). If x in N, we say N …   Wikipedia

  • Nash embedding theorem — The Nash embedding theorems (or imbedding theorems), named after John Forbes Nash, state that every Riemannian manifold can be isometrically embedded into some Euclidean space. Isometric means preserving the length of every path. For instance,… …   Wikipedia

  • Whitney embedding theorem — In mathematics, particularly in differential topology,there are two Whitney embedding theorems:*The strong Whitney embedding theorem states that any connected smooth m dimensional manifold (required also to be Hausdorff and second countable) can… …   Wikipedia

  • Semidefinite embedding — (SDE) or maximum variance unfolding (MVU) is an algorithm in computer science, that uses semidefinite programming to perform non linear dimensionality reduction of high dimensional vectorial input data. Non linear dimensionality reduction… …   Wikipedia

  • Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …   Wikipedia

  • Offshoring Research Network — Launch year: 2004 Founder: Prof. Arie Y. Lewin (Duke University, USA) Managed by: Duke CIBER Fuqua School of Business Partner universities: From Western Europe and Australia …   Wikipedia

  • Immersion (mathematics) — In mathematics, an immersion is a differentiable map between differentiable manifolds whose derivative is everywhere injective. Explicitly, f : M → N is an immersion if:D pf : T p M o T {f(p)}N,is an injective map at every point p of M (where the …   Wikipedia

  • Gauss–Codazzi equations — In Riemannian geometry, the Gauss–Codazzi–Mainardi equations are fundamental equations in the theory of embedded hypersurfaces in a Euclidean space, and more generally submanifolds of Riemannian manifolds. They also have applications for embedded …   Wikipedia

  • Nonlinear dimensionality reduction — High dimensional data, meaning data that requires more than two or three dimensions to represent, can be difficult to interpret. One approach to simplification is to assume that the data of interest lies on an embedded non linear manifold within… …   Wikipedia

  • Algebraic number field — In mathematics, an algebraic number field (or simply number field) F is a finite (and hence algebraic) field extension of the field of rational numbers Q. Thus F is a field that contains Q and has finite dimension when considered as a vector… …   Wikipedia


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