- embedding theorem
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English-Russian scientific dictionary. 2008.
embedding theorem
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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
Mitchell's embedding theorem — Mitchell s embedding theorem, also known as the Freyd–Mitchell theorem, is a result stating that every abelian category admits a full and exact embedding into the category of R modules. This allows one to use element wise diagram chasing proofs… … Wikipedia
Skorokhod's embedding theorem — In mathematics and probability theory, Skorokhod s embedding theorem is either or both of two theorems that allow one to regard any suitable collection of random variables as a Wiener process (Brownian motion) evaluated at a collection of… … Wikipedia
Higman's embedding theorem — In group theory, Higman s embedding theorem states that every finitely generated recursively presented group R can be embedded as a subgroup of some finitely presented group G . This is a result of Graham Higman from the 1960s. [ Graham Higman,… … Wikipedia
Kodaira embedding theorem — In mathematics, the Kodaira embedding theorem characterises non singular projective varieties, over the complex numbers, amongst compact Kähler manifolds. In effect it says precisely which complex manifolds are defined by homogeneous… … Wikipedia
Hahn embedding theorem — In mathematics, the Hahn embedding theorem states that every totally ordered abelian group can be embedded as a subgroup of the additive group of a real closed field. It is therefore a generalization of Hölder s theorem … Wikipedia
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
Embedding problem — In Galois theory, a branch of mathematics, the embedding problem is a generalization of the inverse Galois problem. Roughly speaking, it asks whether a given Galois extension can be embedded into a Galois extension in such a way that the… … Wikipedia
Takens' theorem — In mathematics, a delay embedding theorem gives the conditions under which a chaotic dynamical system can be reconstructed from a sequence of observations of the state of a dynamical system. The reconstruction preserves the properties of the… … Wikipedia
Campbell's theorem — also known as Campbell’s embedding theorem and the Campbell Magaarrd theorem, is a mathematical theorem that evaluates the asymptotic distribution of random impulses acting with a determined intensity on a damped system. [ Campbell s Theorem. We … Wikipedia
