The Collaborative International Dictionary
Embed \Em*bed"\ ([e^]m*b[e^]d"), v. t. [imp. & p. p. Embedded; p. pr. & vb. n. Embedding.] [Pref. em- + bed. Cf. Imbed.] To lay as in a bed; to lay in surrounding matter; to bed; as, to embed a thing in clay, mortar, or sand.
Wiktionary
n. (context mathematics English) A map which maps a subspace (smaller structure) to the whole space (larger structure). vb. (present participle of embed English)
WordNet
See embed
Wikipedia
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 given by some injective and structure-preserving map . The precise meaning of "structure-preserving" depends on the kind of mathematical structure of which X and Y are instances. In the terminology of category theory, a structure-preserving map is called a morphism.
The fact that a map is an embedding is often indicated by the use of a "hooked arrow", thus: $f : X \hookrightarrow Y.$ On the other hand, this notation is sometimes reserved for inclusion maps.
Given X and Y, several different embeddings of X in Y may be possible. In many cases of interest there is a standard (or "canonical") embedding, like those of the natural numbers in the integers, the integers in the rational numbers, the rational numbers in the real numbers, and the real numbers in the complex numbers. In such cases it is common to identify the domain X with its image f(X) contained in Y, so that .
Usage examples of "embedding".
They can express the whole range from this microtime of orgasm, through the stages of embedding of the foetus in the womb, to the Ages of Manto .
Kayapi so soon after showing glimmerings of intelligence, so I put off asking for the other pieces to be put into place: particularly the problem of the woman in the taboo hut, pregnant and yet receiving the embedding drug .
Their Bruxo is practising with amazing skill that deep embedding of languagethat Rousselian embedding which we talked about so long ago in Africa as the most freakish of possibilities.
The Change Speakers modulate all the reality tangents to the plane of our embedding here.
His fear of the coming discharge grewa wild panic as the Embedding coiled within him.
Rousselian embedding which we talked about so long ago in Africa as the most freakish of possibilities.
LeClaire perfected the process of pocketing self-writing code and embedding it into the mind, protected by a sheath of psionic barriers that would survive riping.
The size and shape of the surface are properties of the embedding, not of the manifold itself-so a sphere and an ellipsoid are two different embeddings of exactly the same manifold--but a particular embedding in Euclidean space can he used to supplement a manifold with the geometrical concepts needed to make it into a Riemannian space.
We’ve spent so much time on those resurrection protocols, the slices and embeddings and all.