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Inclusion of one mathematical structure in another, preserving properties of interest
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
Embedding
Method in natural language processing
In natural language processing, a word embedding is a representation of a word. The embedding is used in text analysis. Typically, the representation is
Word_embedding
Topics referred to by the same term
Look up embedded, embed, or embedding in Wiktionary, the free dictionary. Embedded, embedding, imbedded or imbedding may refer to: Embedding, one instance
Embedded
Embedding a graph in a topological space, often Euclidean
embedding, cellular embedding or map is an embedding in which every face is homeomorphic to an open disk. A closed 2-cell embedding is an embedding in
Graph_embedding
Concept in algebraic geometry
algebraic geometry, a toroidal embedding is an open embedding of algebraic varieties that locally looks like the embedding of the open torus into a toric
Toroidal_embedding
Insertion of foreign objects into soft tissues under the skin or into muscle
Self-embedding is the insertion of foreign objects either into soft tissues under the skin or into muscle. Self-embedding is typically considered deliberate
Self-embedding
Feature of certain mathematical spaces
compact embedding is usually about Banach spaces of functions. Several of the Sobolev embedding theorems are compact embedding theorems. When an embedding is
Compact_embedding
Mathematical embedding in Banach spaces
containing X. Formally speaking, this embedding was first introduced by Kuratowski, but a very close variation of this embedding appears already in the papers
Kuratowski_embedding
Inclusion of font files inside an electronic document
Font embedding is the inclusion of font files inside an electronic document for display across different platforms. Font embedding is controversial because
Font_embedding
Process of embedding one phrase in another
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
Center_embedding
Representation in natural language processing
In natural language processing, a sentence embedding (or document embedding) is a representation of a natural language text as a vector of numbers which
Sentence_embedding
Computer system with a dedicated function
An embedded system is a specialized computer system—a combination of a computer processor, computer memory, and input/output peripheral devices—that has
Embedded_system
Embedding of a Grassmannian into projective space
vector space). The image of that embedding is the Klein quadric in RP5. Hermann Grassmann generalized Plücker's embedding to arbitrary k and n. The homogeneous
Plücker_embedding
Representation learning technique
becomes less reliable for large embedding vectors. Latent space Feature extraction Dimensionality reduction Word embedding Neural network Reinforcement learning
Embedding_(machine_learning)
Algorithm for modelling sequential data
un-embedding layer is almost the reverse of an embedding layer. Whereas an embedding layer converts a token identifier into a vector, an un-embedding layer
Transformer_(deep_learning)
f : H → G. The embedding problem is said to be finite if the group H is. A solution (sometimes also called weak solution) of such an embedding problem is
Embedding_problem
Abelian categories, while abstractly defined, are in fact concrete categories of modules
Mitchell's embedding theorem, also known as the Freyd–Mitchell theorem or the full embedding theorem, is a result about small abelian categories; it states
Mitchell's_embedding_theorem
both defined on the same space. Several of the Sobolev embedding theorems are continuous embedding theorems. Let X and Y be two normed vector spaces, with
Continuous_embedding
In mathematics, the James embedding is an embedding of a real, complex, or hyperbolic projective space into a sphere, introduced by Ioan James. James
James_embedding
Theorem in differential topology
differential topology, there are two Whitney embedding theorems, named after Hassler Whitney: The strong Whitney embedding theorem states that any smooth real
Whitney_embedding_theorem
Graph layout on multiple half-planes
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
Book_embedding
has the joint embedding property if the class of its models of has the joint embedding property. A complete theory has the joint embedding property. Conversely
Joint_embedding_property
Embedding a graph in 3D space with no cycles interlinked
graph theory, a mathematical discipline, a linkless embedding of an undirected graph is an embedding of the graph into three-dimensional Euclidean space
Linkless_embedding
Every Riemannian manifold can be isometrically embedded into some Euclidean space
Nash embedding theorems (or imbedding theorems), named after John Forbes Nash Jr., state that every Riemannian manifold can be isometrically embedded into
Nash_embedding_theorems
Map in projective geometry
In mathematics, the Segre embedding is a map used in projective geometry to consider the cartesian product of two projective spaces as a projective variety
Segre_embedding
Type of dynamical system
neighbourhood of the embedding, k(x) > 0, they collapse once more onto the embedding; that is, onto the original dynamics. The bailout embedding forms in this
Bailout_embedding
Mathematical problem in von Neumann algebra theory
(postponed; TBA) The many faceted Connes' Embedding Problem; BIRS, Canada; July 14–19, 2019 Winter school: Connes' embedding problem and quantum information theory;
Connes_embedding_problem
vertex placement provides a simultaneous embedding. There are two restricted models: simultaneous geometric embedding, where each graph must be drawn planarly
Simultaneous_embedding
Embedding of data within a manifold based on a similarity function
A latent space, also known as a latent feature space or embedding space, is an embedding of a set of items within a manifold in which items resembling
Latent_space
Conditions under which a chaotic system can be reconstructed by observation
derivative of φ has full rank. A delay embedding theorem uses an observation function to construct the embedding function. An observation function α :
Takens's_theorem
Dimensionality reduction of graph-based semantic data objects [machine learning task]
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
Knowledge_graph_embedding
S-morphism, then i is a regular embedding. In particular, every section of a smooth morphism is a regular embedding. If Spec B {\displaystyle \operatorname
Regular_embedding
Theorem in group theory
The universal embedding theorem, or Krasner–Kaloujnine universal embedding theorem, is a theorem from the mathematical discipline of group theory first
Universal_embedding_theorem
make progress and the greedy routing process fails. A greedy embedding is an embedding of the given graph with the property that a failure of this type
Greedy_embedding
Comedy television series
Embeds is an American comedy television series created by Scott Conroy and Peter Hamby and produced by Megyn Kelly and Michael De Luca. The 6 half-hour
Embeds
Type of monotone function
must be an order embedding. However, not every order embedding is a coretraction. As a trivial example, the unique order embedding f : ∅ → { 1 } {\displaystyle
Order_embedding
(Theorem 1), or by ad-hoc monikers such as vanishing lemma or inverse embedding. Cocompactness property allows to verify convergence of sequences, based
Cocompact_embedding
Planar graph drawn by relaxing springs
theory, a Tutte embedding or barycentric embedding of a simple, 3-vertex-connected, planar graph is a crossing-free straight-line embedding with the properties
Tutte_embedding
Projection of data onto lower-dimensional manifolds
linear embedding, spectral embedding, local tangent space alignment, multidimensional scaling, and t-distributed stochastic neighbor embedding. Waffles
Nonlinear dimensionality reduction
Nonlinear_dimensionality_reduction
Describes energy between atoms
location of atom i {\displaystyle i} , and F {\displaystyle F} is an embedding function that represents the energy required to place atom i {\displaystyle
Embedded_atom_model
In geometric graph theory, a convex embedding of a graph is an embedding of the graph into a Euclidean space, with its vertices represented as points and
Convex_embedding
Type of analytics
use the term "embedded analytics" at their press release for Oracle Rapid Planning on 2009 [citation needed]. When evaluating embedding analytics, consideration
Embedded_analytics
Characterises non-singular projective varieties amongst compact Kähler manifolds
there is a complex-analytic embedding of M into complex projective space of some high enough dimension N. The fact that M embeds as an algebraic variety follows
Kodaira_embedding_theorem
Java Embedding Plugin (JEP) enables Java on Mac OS X with non-Safari browsers. This plugin is shipped with Firefox 1.5 on, and all recent versions of
Java_Embedding_Plugin
Text that contains both LTR and RTL text
"isolates". An "embedding" signals that a piece of text is to be treated as directionally distinct. The text within the scope of the embedding formatting characters
Bidirectional_text
OpenType inherited font format, from Microsoft with MTX compression
Microsoft. 2009-11-10. Microsoft Typography - Font Embedding for the Web Microsoft Typography - Web Embedding Fonts Tool EOT-utils – open-source free software
Embedded_OpenType
Class of nonparametric methods
rule in the kernel embedding framework expresses the kernel embedding of the conditional distribution in terms of conditional embedding operators which are
Kernel embedding of distributions
Kernel_embedding_of_distributions
Set system related to matroids
In combinatorics, a matroid embedding is a set system (F, E), where F is a collection of feasible sets, that satisfies the following properties. Accessibility
Matroid_embedding
Theorem about inclusions between Sobolev spaces
including those of Sobolev spaces. These are used to prove the Sobolev embedding theorem, giving inclusions between certain Sobolev spaces, and the Rellich–Kondrachov
Sobolev_inequality
In mathematics and probability theory, Skorokhod's embedding theorem is either or both of two theorems that allow one to regard any suitable collection
Skorokhod's_embedding_theorem
mathematical embedding from a space with many dimensions per geographic object to a continuous vector space with a much lower dimension. Such embedding methods
Spatial_embedding
as the KMT approximation, the KMT embedding, or the Hungarian embedding) refers to one of the two strong embedding theorems: 1) approximation of random
Komlós–Major–Tusnády approximation
Komlós–Major–Tusnády_approximation
Embedment is a phenomenon in mechanical engineering in which the surfaces between mechanical members of a loaded joint embed. It can lead to failure by
Embedment
Technology developed by Microsoft
Object Linking and Embedding (OLE) is a proprietary technology developed by Microsoft that allows embedding and linking to documents and other objects
Object_Linking_and_Embedding
Graph that can be embedded in the plane
planar graph. A 1-outerplanar embedding of a graph is the same as an outerplanar embedding. For k > 1 a planar embedding is k-outerplanar if removing the
Planar_graph
Functional analysis theorem
done via Hörmander's embedding theorem, proven by Lars Hörmander in 1954. Hörmander's theorem explicitly constructs an embedding via support functions
Rådström's_embedding_theorem
Description of linearly ordered groups
"lo.logic - Hahn's Embedding Theorem and the oldest open question in set theory". MathOverflow. Retrieved 2021-01-28. "Hahn's Embedding Theorem and the oldest
Hahn_embedding_theorem
Maximum Variance Unfolding (MVU), also known as Semidefinite Embedding (SDE), is an algorithm in computer science that uses semidefinite programming to
Semidefinite_embedding
Concept in model theory
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
Elementary_equivalence
Cycles in a graph that cover each edge twice
nowhere-zero 5-flow. A stronger type of embedding than a circular embedding is a polyhedral embedding, an embedding of a graph on a surface in such a way
Cycle_double_cover
Compact embedding theorem concerning Sobolev spaces
with C1 boundary, the Kondrachov embedding theorem states that if k > ℓ and k − n/p > ℓ − n/q then the Sobolev embedding W k , p ( M ) ⊂ W ℓ , q ( M ) {\displaystyle
Rellich–Kondrachov_theorem
Computer software written to control machines not typically thought of as computers
Embedded software is computer software, written to control machines or devices that are not typically thought of as computers, commonly known as embedded
Embedded_software
Format for expressing RDF statements in HTML documents
for embedding rich metadata within web documents. The Resource Description Framework (RDF) data-model mapping enables the use of RDFs for embedding RDF
RDFa
Subset of artificial intelligence
Insurance Internet fraud detection Investment management Knowledge graph embedding Linguistics Machine learning control Machine perception Machine translation
Machine_learning
Form of government
European Union as the "most successful [organization] in the international embedding of democracies." International integration ultimately serves to protect
Embedded_democracy
Technique for dimensionality reduction
t-distributed stochastic neighbor embedding (t-SNE) is a statistical method for visualizing high-dimensional data by giving each datapoint a location
T-distributed stochastic neighbor embedding
T-distributed_stochastic_neighbor_embedding
Rational surface in 5-dimensional projective space
five-dimensional projective space, and is realized by the Veronese embedding, the embedding of the projective plane given by the complete linear system of
Veronese_surface
Branch of the mathematical field of graph theory
the embedding of graphs in surfaces, spatial embeddings of graphs, and graphs as topological spaces. It also studies immersions of graphs. Embedding a graph
Topological_graph_theory
Database management system
footprint and is well suited for embedding in applications that require high performance and concurrency. As with many embedded database systems, HailDB is
Embedded_database
Series of language models developed by Google AI
layer is the embedding layer, which contains three components: token type embeddings, position embeddings, and segment type embeddings. Token type: The
BERT_(language_model)
Embedded is a play starring, written, and directed by Tim Robbins. It premiered at The Actors' Gang theater in Los Angeles 2003 and transferred to The
Embedded_(play)
Embedding of categories into functor categories
This is called the Yoneda embedding. The Yoneda embedding is sometimes denoted by よ, the hiragana Yo. The Yoneda embedding essentially states that for
Yoneda_lemma
The embedding effect is an issue in environmental economics and other branches of economics where researchers wish to identify the value of a specific
Embedding_effect
with increasing embedding dimension. In too low an embedding dimension, many of the neighbors will be false, but in an appropriate embedding dimension or
False nearest neighbor algorithm
False_nearest_neighbor_algorithm
Computer programming method
Language. The SQL standard defines embedding of SQL as embedded SQL and the language in which SQL queries are embedded is referred to as the host language
Embedded_SQL
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
Higman's_embedding_theorem
ISO standard
Embedding metadata in files allows easy sharing and transfer of files across products, vendors, platforms, without metadata getting lost. Embedding avoids
Extensible_Metadata_Platform
Machine learning paradigm
Joint-Embedding Predictive Architecture Can Listen". arXiv:2311.15830 [cs.SD]. Bardes, Adrien; Ponce, Jean; LeCun, Yann (2023). "MC-JEPA: A Joint-Embedding
Self-supervised_learning
Discontinued embedded operating system by Microsoft
known as Windows Embedded CE and Windows Embedded Compact, is a discontinued operating system developed by Microsoft for mobile and embedded devices. Originally
Windows_CE
Adjunction between a category of co/presheaf under the co/Yoneda embedding
{\displaystyle X\mapsto \mathrm {hom} (-,X).} and the co-Yoneda embedding (a.k.a. dual Yoneda embedding) is a contravariant functor from a small category A {\displaystyle
Isbell_duality
Category whose objects and morphisms are inside a bigger category
called a full embedding if it is a full functor and an embedding. With the definitions of the previous paragraph, for any (full) embedding F : B → C {\displaystyle
Subcategory
Differentiable function whose derivative is everywhere injective
related concept is that of an embedding. A smooth embedding is an injective immersion f : M → N that is also a topological embedding, so that M is diffeomorphic
Immersion_(mathematics)
Pathological embedding of the sphere in 3D space
not removed at some stage, the result is an embedding of the sphere with a Cantor set removed. This embedding extends to a continuous map from the whole
Alexander_horned_sphere
Mathematical theorem
In mathematics, the Gabriel–Popescu theorem is an embedding theorem for certain abelian categories, introduced by Pierre Gabriel and Nicolae Popescu (1964)
Gabriel–Popescu_theorem
Embedding Theory (DMET), archived from Princeton.edu, retrieved on 2015-09-07. Knizia, Gerald; Chan, Garnet K.-L. (2012). "Density Matrix Embedding:
Density matrix embedding theory
Density_matrix_embedding_theory
Algebraic variety containing an algebraic torus
In algebraic geometry, a toric variety or torus embedding is a kind of algebraic variety that contains an algebraic torus whose group action extends to
Toric_variety
Economic concept
applied. In these cases economic activities such as "provisioning" are "embedded" in non-economic kinship, religious and political institutions. In market
Embeddedness
Human emotional need
Belongingness is the human emotional need to be an accepted member of a group. Whether it is family, friends, co-workers, a religion, or something else
Belongingness
Graph representing faces of another graph
graph: it is not planar but can be embedded in a torus, with each face of the embedding being a triangle. This embedding has the Heawood graph as its dual
Dual_graph
Technique in neural networks for learning joint representations of text and images
original report is called "embedding dimension". For example, in the original OpenAI model, the ResNet models have embedding dimensions ranging from 512
Contrastive Language–Image Pre-training
Contrastive_Language–Image_Pre-training
Open specification for embedding website content
oEmbed is an open format designed to allow embedding content from a website into any webpage. The specification was created by Cal Henderson, Leah Culver
OEmbed
Operation combining two oriented knots
is provided by the graphs with linkless embeddings and knotless embeddings. A linkless embedding is an embedding of the graph with the property that any
Knot_(mathematics)
Collaborative multilingual knowledge graph
people who don't know how to use SPARQL" to write a query. The Wikidata Embedding Project was made available in October 2025. It provides a vector-based
Wikidata
Marker covertly embedded in a signal
watermark is to be embedded is called the host signal. A watermarking system is usually divided into three distinct steps: embedding, attack, and detection
Digital_watermarking
Document file format developed by Microsoft
Microsoft Object Linking and Embedding (OLE) objects and Macintosh Edition Manager subscriber objects allow embedding of other files inside the RTF,
Rich_Text_Format
Word embedding method
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
ELMo
developed a method for embedding such specimens in clear acrylic plastic, and by 1945, his process was used to mass-produce objects embedded in acrylic. In addition
Acrylic_embedment
by these controls, an appropriate holomorphic embedding must be also defined. The method uses an embedding technique by means of a complex parameter s.
Holomorphic Embedding Load-flow method
Holomorphic_Embedding_Load-flow_method
Ring produced from two fields
The structure of the ring can be analysed by considering all ways of embedding both K and L in some field extension of N. The construction here assumes
Tensor_product_of_fields
Programming language
Embedded C++ (EC++) is a dialect of the C++ programming language for embedded systems. It was defined by an industry group led by major Japanese central
Embedded_C++
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