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immersion i : X ↪ Y {\displaystyle i:X\hookrightarrow Y} of schemes is a regular embedding of codimension r if each point x in X has an open affine neighborhood
Regular_embedding
Scheme in algebraic geometry
R with respect to I. If Y is the product X × X and the embedding i is the diagonal embedding, then the normal bundle to X in Y is the tangent bundle
Normal cone (algebraic geometry)
Normal_cone_(algebraic_geometry)
Embedding a graph in a topological space, often Euclidean
corresponding equivalence class of embeddings is called combinatorial embedding (as opposed to the term topological embedding, which refers to the previous
Graph_embedding
Embedded operating system by Microsoft
Enterprise. Windows Embedded Server FES products are binary identical to that of regular Windows Server versions but licensed for embedded use, similar to
Windows_IoT
Subset of a manifold that is a manifold itself; an injective immersion into a manifold
theorem. An embedded submanifold (also called a regular submanifold) is an immersed submanifold for which the inclusion map is a topological embedding. That
Submanifold
Topics referred to by the same term
polynomial function of algebraic varieties a regular map (graph theory), a symmetric 2-cell embedding of a graph into a closed surface This disambiguation
Regular_map
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)
pullback along the diagonal embedding δ : X → X × X {\displaystyle \delta :X\to X\times X} . Quasi-separated morphism Regular embedding Diagonal morphism Hartshorne
Diagonal morphism (algebraic geometry)
Diagonal_morphism_(algebraic_geometry)
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
Theorem about inclusions between Sobolev spaces
Sobolev embedding Wk,p(M)⊂Wℓ,q(M) is completely continuous (compact). Note that the condition is just as in the first part of the Sobolev embedding theorem
Sobolev_inequality
Aspect of topological graph theory
surface embedding. Unlike the usual dual graph (which is an embedding of a generally different graph in the same surface) the Petrie dual is an embedding of
Petrie_dual
Type of cardinal number in mathematics
<\theta } , say that an elementary embedding j : M → H ( θ ) {\displaystyle j:M\to H(\theta )} a small embedding if M {\displaystyle M} is transitive
Regular_cardinal
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
presentation is the open immersion of an open closed subscheme. Segre embedding Regular embedding Mumford, The Red Book of Varieties and Schemes, Section II.5
Closed_immersion
Long exact sequence
no longer corresponds to integration. Let i: X → Y be a (closed) regular embedding of codimension d, Y' → Y a morphism and i': X' = X ×Y Y' → Y' the
Gysin_homomorphism
multiplication being the tensor product. Plücker embedding The Plücker embedding is the closed embedding of the Grassmannian variety into a projective space
Glossary of algebraic geometry
Glossary_of_algebraic_geometry
Problem in algebraic geometry
intersection). A generalization to a situation where the assumption on regular embedding is weakened is due to Kleiman (1981). The following definition is
Residual_intersection
Solid with four equal triangular faces
and each edge is a diagonal of one of the cube's faces. For one such embedding, the Cartesian coordinates of the vertices are(1,1,1),(1,−1,−1),(−1,1
Regular_tetrahedron
Embedding of the circle in three dimensional Euclidean space
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)
Symmetric tessellation of a closed surface
hemicube is a regular map of type {4,3} in the projective plane. The hemi-dodecahedron is a regular map produced by pentagonal embedding of the Petersen
Regular_map_(graph_theory)
Skew polygon derived from a polytope
higher-dimensional regular polytopes. Petrie polygons can be defined more generally for any embedded graph. They form the faces of another embedding of the same
Petrie_polygon
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
Symmetric bipartite cubic graph with 16 vertices and 24 edges
The genus 1 embedding, which is not a regular map, is seen in the diagram above. Genus 2 embedding Genus 3 embedding The automorphism group of the Möbius–Kantor
Möbius–Kantor_graph
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
Typeface family
[Bold and Regular] embedded font in Google Docs Droid Sans Tamil [Bold and Regular] available from Google Fonts API Droid Sans Thai [Regular] available
Droid_(typeface)
Concept from algebraic geometry
{\displaystyle f|_{U}:U{\overset {i}{\to }}Z{\overset {\pi }{\to }}Y} , a regular embedding of codimension k {\displaystyle k} followed by a smooth morphism of
Dualizing_sheaf
embedding the ring in a regular local ring. If R is a Noetherian local ring with maximal ideal m, then the dimension of m/m2 is called the embedding dimension
Complete_intersection_ring
Undirected unit-distance graph requiring four colors
named after Solomon W. Golomb, who constructed it (with a non-planar embedding) as a unit distance graph that requires four colors in any graph coloring
Golomb_graph
Polyhedron with non-planar faces
polygons. p. 110 Deza, Michael; Shtogrin, Mikhael (2000). "Embedding the graphs of regular tilings and star-honeycombs into the graphs of hypercubes and
Regular_skew_polyhedron
R^{i}f'_{*}(g'^{*}{\mathcal {F}})} is an isomorphism. smooth algebra regular embedding J. S. Milne (2012). "Lectures on Étale Cohomology" J. S. Milne. Étale
Smooth_morphism
Type of a context-free grammar
\Sigma ^{*}} is called a regular partition if for every R ∈ π {\displaystyle R\in \pi } the language R {\displaystyle R} is regular. Let G = ( V , Σ , R
LL_grammar
Sending control flow information in the same channel as data
many examples: Embedding a magic number at the very start of files, to signal the format or language of the following data. Embedding a NULL character
In-band_signaling
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
Proof that every structure with certain properties is isomorphic to another structure
set of regular measures on X. The Whitney embedding theorems embed any abstract manifold in some Euclidean space. The Nash embedding theorem embeds an abstract
Representation_theorem
Non-orientable surface with one edge
equilateral-triangle version of the Möbius strip. This flat triangular embedding can lift to a smooth embedding in three dimensions, in which the strip lies flat in three
Möbius_strip
Undirected graph named after S. S. Shrikhande
toroidal graph. The embedding forms a regular map in the torus, with 32 triangular faces. The skeleton of the dual of this map (as embedded in the torus) is
Shrikhande_graph
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
This article lists the regular polytopes in Euclidean, spherical and hyperbolic spaces. This table shows a summary of regular polytope counts by rank.
List_of_regular_polytopes
Form of government
democracy equates it with regular elections." The principle of democratic electoral regimes is an important one for embedded democracy because electoral
Embedded_democracy
Graph in which every two vertices are adjacent
of the forbidden minors for linkless embedding. In other words, and as Conway and Gordon proved, every embedding of K6 into three-dimensional space is
Complete_graph
American singer and actor (1935–1977)
Talent Scouts on the CBS television network. By early 1955, Presley's regular Hayride appearances, constant touring, and well-received record releases
Elvis_Presley
Abstract regular polyhedron with 3 square faces
cannot be embedded into the 3-dimensional Euclidean space. From the point of view of graph theory the skeleton is a tetrahedral graph, an embedding of K4
Hemicube_(geometry)
Geometric model of the planar projection of the physical universe
consideration for their embedding in the ambient space ℝ3. In two dimensions, there are infinitely many polytopes: the polygons. The first few regular ones are shown
Euclidean_plane
in particular, to define a virtual fundamental class. Consider a regular embedding I : Y → W {\displaystyle I\colon Y\to W} fitting into a cartesian
Perfect_obstruction_theory
Topological operation of turning a sphere inside-out without creasing
{\displaystyle f\colon S^{2}\to \mathbb {R} ^{3}} be the standard embedding; then there is a regular homotopy of immersions f t : S 2 → R 3 {\displaystyle f_{t}\colon
Sphere_eversion
Abstract regular polyhedron with 10 triangular faces
theory this is an embedding of K 6 {\displaystyle K_{6}} (the complete graph with 6 vertices) on a real projective plane. With this embedding, the dual graph
Hemi-icosahedron
Solid with eight equal triangular faces
more generally, a regular polyhedron. If the faces are isosceles triangles, the regular octahedron becomes a square bipyramid. The regular octahedron is an
Regular_octahedron
same regular homotopy class if there exists a regular homotopy between them. Regular homotopy for immersions is similar to isotopy of embeddings: they
Regular_homotopy
Russian tennis player and model (born 1981)
2011, it was announced that Kournikova would join The Biggest Loser as a regular celebrity trainer in season 12. She did not return for season 13. A variation
Anna_Kournikova
Area of discrete mathematics
embedding (or imbedding) of a graph in surface and linkless embedding, graph minors, crossing number, map coloring, and voltage graph. The embedding of
Graph_theory
24-vertex symmetric bipartite cubic graph
The dual graph of this embedding is a symmetric 6-regular graph with 12 vertices and 36 edges. The other symmetric embedding of the Nauru graph has six
Nauru_graph
Graph whose embedding in a Euclidean space forms a regular tiling
graph is a graph whose drawing, embedded in some Euclidean space R n {\displaystyle \mathbb {R} ^{n}} , forms a regular tiling. This implies that the
Lattice_graph
Theorem in geometry
local complete intersection morphism; i.e., it factors as a closed regular embedding X ↪ P {\displaystyle X\hookrightarrow P} into a smooth scheme P followed
Riemann–Roch-type_theorem
Polytope with highest degree of symmetry
In mathematics, a regular polytope is a polytope whose symmetry group acts transitively on its flags, thus giving it the highest degree of symmetry. In
Regular_polytope
American actor (1933–2026)
Favorite Martian in the 1963 episode "Mrs. Jekyll and Hyde" (Walston was a regular cast member thirty years later in Skerritt's show Picket Fences). He also
Tom_Skerritt
German field marshal (1891–1944)
moderate mind, exceptional amid the many takeovers of revolutionary cities by regular and irregular units and the associated violence. According to Reuth, this
Erwin_Rommel
Polygon with 1 million edges
meaning "great", being a unit prefix denoting a factor of one million). A regular megagon is represented by the Schläfli symbol {1,000,000} and can be constructed
Megagon
Abstract regular polyhedron with 6 pentagonal faces
of view of graph theory this is an embedding of the Petersen graph on a real projective plane. With this embedding, the dual graph is K6 (the complete
Hemi-dodecahedron
American actor and comedian (born 1925)
long-running comedy-variety series The Carol Burnett Show, Van Dyke became a regular on the show, in the fall of 1977. He appeared in half of the episodes of
Dick_Van_Dyke
Mathematics of smooth surfaces
extensively studied from various perspectives: extrinsically, relating to their embedding in Euclidean space and intrinsically, reflecting their properties determined
Differential geometry of surfaces
Differential_geometry_of_surfaces
Point on a curve not given by a smooth embedding of a parameter
singular point on a curve is one where the curve is not given by a smooth embedding of a parameter. The precise definition of a singular point depends on
Singular_point_of_a_curve
Chinese basketball player and executive (born 1980)
Yao Ming (Chinese: 姚明; born September 12, 1980) is a Chinese basketball executive and former professional player. He played for the Shanghai Sharks of
Yao_Ming
On graph drawing with integer edge lengths
dense in the plane. The distances in such an embedding can be made into integers by scaling the embedding by an appropriate factor. Based on this construction
Harborth's_conjecture
Software library for interpreting regular expressions
Perl Compatible Regular Expressions (PCRE) is a library written in C, which implements a regular expression engine, inspired by the capabilities of the
Perl Compatible Regular Expressions
Perl_Compatible_Regular_Expressions
2003–2011 conflict in Iraq
76–85, February 2010. Sanchez, Wiser in Battle, p.185. "Reintegration of Regular [IRAQ] Army", DDR Tasks – The Army, 3 July 2003 10:03 AM "Jobless Iraqi
Iraq_War
American actress and comedian (1922–2009)
Hollywood 1955 Max Liebman Presents: Kaleidoscope 1954–1956 Caesar's Hour Regular performer 1957 Washington Square 2 episodes The Steve Allen Show 1958 The
Bea_Arthur
Swedish footballer (born 1981)
That became his motivation. While in his early teens, Ibrahimović was a regular for his hometown club Malmö FF. At the age of 15, he was close to giving
Zlatan_Ibrahimović
Operating system for mobile devices
running on smartphones and tablets, several vendors run Android natively on regular PC hardware with a keyboard and mouse. In addition to their availability
Android_(operating_system)
Type of regular Hausdorff space
completely regular spaces are kinds of topological spaces. These conditions are examples of separation axioms. A Tychonoff space is any completely regular space
Tychonoff_space
Persian ruler from 522 to 486 BCE
it into a smooth communication network with lodging services located at regular intervals. In Egypt, Darius built many temples and restored those that
Darius_the_Great
American punk rock band (1974–1996)
not hippies. This was something completely new." The band swiftly became regulars at the club, playing there seventy-four times by the end of the year. After
Ramones
Graph property
In the mathematical field of graph theory, a distance-regular graph is a regular graph such that for any two vertices v and w, the number of vertices at
Distance-regular_graph
Theorem in topology
it is easy to modify the map from the disk so that it is an embedding. Step 3. The embedding of the disk can now be pushed down the tower of double covers
Dehn's_lemma
1980 film by Stanley Kubrick
attracted Kubrick to the idea of adapting the novel by the popular writer, a regular on the best-seller lists, his executive producer (and brother-in-law) Jan
The_Shining_(film)
Ukrainian boxer (born 1976)
network ARD. At the end of 2012, the WBA ordered Klitschko to fight WBA (Regular) champion Alexander Povetkin of Russia by 24 February 2013, but the two
Wladimir_Klitschko
elementary embedding backwards, we get that there is an ultrafilter in Vκ − Vα. So there are arbitrarily large measurable cardinals below κ which is regular, and
Strong_cardinal
Polyhedral graph with 26 vertices and 39 edges
isometric embedding from the graph into a 12-dimensional taxicab geometry. The 26-fullerene graph is one of only five fullerenes with such an embedding. In
26-fullerene_graph
Hierarchy of classes of formal grammars
natural language is not regular. For instance, English contains center embedding constructions, which means that it cannot be regular. To be more exact, the
Chomsky_hierarchy
2014 Marvel Studios film
Jim (July 21, 2014). "'Liberating' Guardians Of The Galaxy Not in the Regular 'Marvel Scheme of Things'". Newsarama. Archived from the original on July
Guardians of the Galaxy (film)
Guardians_of_the_Galaxy_(film)
American screenwriter (1924–1975)
became acquainted with a voice actor, Jay Overholts, who later became a regular on The Twilight Zone. Serling said of his time as a staff writer for radio:
Rod_Serling
Concept in mathematics
Whitney embedding theorem, every manifold admits a normal bundle, given such an embedding. There is in general no natural choice of embedding, but for
Normal_bundle
On the preimage of points in a manifold under the action of a smooth map
called smoothly embedded if the inclusion map ι : S ↪ X {\displaystyle \iota :S\hookrightarrow X} is a smooth embedding, and properly embedded if ι {\displaystyle
Preimage_theorem
King of Saudi Arabia from 1964 to 1975
crown prince. In 1956, he established Dar Al Hanan, described as the first regular government school for girls in the country, under the patronage of his
Faisal_of_Saudi_Arabia
the distribution and acquisition of information to be displayed in the regular interface — possibly a web service, and possibly using XML as the data
Embedded_HTTP_server
American multinational semiconductor company
the GPU. ATI began offering embedded GPUs with the E2400 in 2008. Since then, AMD has released regular updates to its embedded GPU lineup in 2009, 2011,
AMD
Roman politician and general (83–30 BC)
nineteen legions, the vast majority of their army (approximately 100,000 regular infantry plus supporting cavalry and irregular auxiliary units), leaving
Mark_Antony
Multigraph with two vertices
graph can be embedded on a sphere, subdividing the sphere into a hosohedron, consisting only of two-sided digons. This subdivision is a regular map, a generalization
Dipole_graph
Graph often embedded in the Klein bottle
six colors are sometimes necessary in this case. This embedding is the Petrie dual of its embedding in the projective plane shown below. It is Hamiltonian
Franklin_graph
1937–1938 mass murder in China
people first using only a sword—was covered much like a sporting event with regular updates on the score over a series of days. In Japan, the veracity of the
Nanjing_Massacre
Christian philosopher and theologian (354–430)
the Augustinian hermits (Order of Saint Augustine) and the regular canons (Canons Regular of Saint Augustine) as to whether these were the bones of Augustine
Augustine_of_Hippo
Computer operating system
for personal computers, Windows Server for servers, and Windows IoT for embedded systems. Windows itself is further grouped into editions that cater to
Microsoft_Windows
Instrument of indebtedness
typically every one or three months. Zero-coupon bonds (zeros) pay no regular interest. They are issued at a substantial discount to par value, so that
Bond_(finance)
English rock band
1976; recorded with ex-Heavy Metal Kids' Danny Peyronel, who served as a regular keyboardist as well as harmony vocalist and songwriter), and extensive
UFO_(band)
Warm-blooded animals with wings and feathers
Anna L.K.; Alerstam, Thomas; Nilsson, Jan-Åke (2006). "Do partial and regular migrants differ in their responses to weather?". The Auk. 123 (2): 537–547
Bird
British actor (born 1937)
(2002), and Stage Beauty (2004). Fox consolidated his reputation with regular appearances on stage in London's West End. He was seen in Four Quartets
Edward_Fox_(actor)
American athlete and actor (1921–1992)
to the game. Grant Withers was cast as Coach Whitey Martin; Crossroads regular Robert Carson also played a coach in this episode. Edd Byrnes, Rhys Williams
Chuck_Connors
American actor (1925–2005)
attendant Gordy "The Ghoul" Spangler. He plays Mr. Peterson, one of Bob's regular patients, on The Bob Newhart Show, and Mr. Dundee in an episode of The
John_Fiedler
method first requires the embedding of a time series in phase space, which, according to stochastic extensions to Taken's embedding theorems, can be carried
Recurrence period density entropy
Recurrence_period_density_entropy
French Army officer (1762–1806)
Julien Raimond. This was a "free legion" (i.e., formed separately from the regular army) composed of free men of color (gens de couleur libres). It was called
Thomas-Alexandre_Dumas
Mammals of the family Leporidae
digestible food is processed in the gastrointestinal tract and expelled as regular feces. To get nutrients out of hard to digest fiber, rabbits ferment fiber
Rabbit
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