In order theory, a branch of mathematics, an order embedding is a special kind of monotone function, which provides a way to include one partially ordered...

derivative is everywhere injective. An embedding, or a smooth embedding, is defined to be an immersion that is an embedding in the topological sense mentioned...

{\displaystyle \leq .} If an order-embedding between two posets S and T exists, one says that S can be embedded into T. If an order-embedding f : S → T {\displaystyle...

That is, it is a bijective order-embedding. It is also possible to define an order isomorphism to be a surjective order-embedding. The two assumptions that...

a surjective order-embedding. Hence, the image f(P) of an order-embedding is always isomorphic to P, which justifies the term "embedding". A more elaborate...

distribute over arbitrary meets. Completion. A completion of a poset is an order-embedding of the poset in a complete lattice. Completion by cuts. Synonym of...

In linguistics, center embedding is the process of embedding a phrase in the middle of another phrase of the same type. This often leads to difficulty...

In natural language processing, a word embedding is a representation of a word. The embedding is used in text analysis. Typically, the representation is...

order-embedding is a function that maps distinct elements of S to distinct elements of L such that each pair of elements in S has the same ordering in...

embedded, embed, or embedding in Wiktionary, the free dictionary. Embedded or embedding (alternatively imbedded or imbedding) may refer to: Embedding...

An embedded system is a specialized computer system—a combination of a computer processor, computer memory, and input/output peripheral devices—that has...

In graph theory, a book embedding is a generalization of planar embedding of a graph to embeddings in a book, a collection of half-planes all having the...

are order embeddings (functions for which x ≤ y {\displaystyle x\leq y} if and only if f ( x ) ≤ f ( y ) ) {\displaystyle f(x)\leq f(y))} and order isomorphisms...

ordered set, a completion of S means a complete lattice L with an order-embedding of S into L. The notion of complete lattice generalizes the least-upper-bound...

algebra Monotonic Pointwise order of functions Galois connection Order embedding Order isomorphism Closure operator Functions that preserve suprema/infima...

bidirectional LSTM on top of a token embedding layer. The output of all LSTMs concatenated together consists of the token embedding. The input text sequence is...

Self-embedding is the insertion of foreign objects either into soft tissues under the skin or into muscle. Self-embedding is typically considered deliberate...

embedding of the head from the embedding of tail given the embedding of the relation. In other words, it quantifies the plausibility of the embedded representation...

that an order embedding between partially ordered sets is injective. Clearly, every isometry between metric spaces is a topological embedding. A global...

t-distributed stochastic neighbor embedding (t-SNE) is a statistical method for visualizing high-dimensional data by giving each datapoint a location...

predominantly SVO order instead of V2, although there are vestiges of the V2 phenomenon. Most Germanic languages do not normally use V2 order in embedded clauses...

In mathematics, the Segre embedding is used in projective geometry to consider the cartesian product (of sets) of two projective spaces as a projective...

An un-embedding layer is almost the reverse of an embedding layer. Whereas an embedding layer converts a token into a vector, an un-embedding layer converts...

Dushnik–Miller theorem is a result in order theory stating that every countably infinite linear order has a non-identity order embedding into itself. It is named for...

optimizes to find an embedding that aligns the tangent spaces. Maximum Variance Unfolding, Isomap and Locally Linear Embedding share a common intuition...

then M is called an elementary extension of N. An embedding h: N → M is called an elementary embedding of N into M if h(N) is an elementary substructure...

in the solution can be estimated and controlled by using the higher-order embedded method that allows for an adaptive stepsize to be determined automatically...

mathematical embedding from a space with many dimensions per geographic object to a continuous vector space with a much lower dimension. Such embedding methods...

Law & Order is an American police procedural and legal drama television series created by Dick Wolf that premiered on NBC on September 13, 1990. Set in...

Nash embedding theorems (or imbedding theorems), named after John Forbes Nash Jr., state that every Riemannian manifold can be isometrically embedded into...