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CONVEX EMBEDDING

  • Convex embedding
  • 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

    Convex embedding

    Convex_embedding

  • Planar graph
  • 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

    Planar_graph

  • Tutte 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

    Tutte_embedding

  • Nash embedding theorems
  • 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

    Nash_embedding_theorems

  • Rådström's embedding theorem
  • Functional analysis theorem

    In functional analysis, Rådström's embedding theorem is a result related to the set of compact and convex subsets of a normed vector space. It states that

    Rådström's embedding theorem

    Rådström's_embedding_theorem

  • Kuratowski embedding
  • isometric to a closed subset of a convex subset of some Banach space. (N.B. the image of this embedding is closed in the convex subset, not necessarily in the

    Kuratowski embedding

    Kuratowski_embedding

  • Nonlinear dimensionality reduction
  • Projection of data onto lower-dimensional manifolds

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

    Nonlinear dimensionality reduction

    Nonlinear dimensionality reduction

    Nonlinear_dimensionality_reduction

  • Gauss curvature flow
  • result of Matthew Grayson showing that any embedded circle in the plane is deformed into a convex embedding, at which point Gage and Hamilton's result

    Gauss curvature flow

    Gauss_curvature_flow

  • Graph embedding
  • 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

    Graph embedding

    Graph_embedding

  • Convex drawing
  • Planar graph with convex polygon faces

    In graph drawing, a convex drawing of a planar graph is a drawing that represents the vertices of the graph as points in the Euclidean plane and the edges

    Convex drawing

    Convex drawing

    Convex_drawing

  • Locally convex topological vector space
  • Space with topology generated by convex sets

    analysis and related areas of mathematics, locally convex topological vector spaces (LCTVS) or locally convex spaces are examples of topological vector spaces

    Locally convex topological vector space

    Locally_convex_topological_vector_space

  • Toric variety
  • 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

    Toric_variety

  • Function of several complex variables
  • Type of mathematical functions

    theorem, the Kodaira embedding theorem says that a compact Kähler manifold M, with a Hodge metric, there is a complex-analytic embedding of M into complex

    Function of several complex variables

    Function_of_several_complex_variables

  • Partially ordered set
  • Mathematical set with an ordering

    {\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

    Partially ordered set

    Partially ordered set

    Partially_ordered_set

  • Polyhedron
  • Flat-sided three-dimensional shape

    reflecting. Convex polyhedra are a well-defined class of polyhedra with several equivalent standard definitions. Every convex polyhedron is the convex hull of

    Polyhedron

    Polyhedron

    Polyhedron

  • Euclidean plane
  • Geometric model of the planar projection of the physical universe

    relationship with out-of-plane points requires special consideration for their embedding in the ambient space R 3 {\displaystyle \mathbb {R} ^{3}} . In two dimensions

    Euclidean plane

    Euclidean plane

    Euclidean_plane

  • Möbius strip
  • 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

    Möbius strip

    Möbius_strip

  • Nuclear space
  • Generalization of finite-dimensional Euclidean spaces different from Hilbert spaces

    is an embedding of TVSs whose image is dense in the codomain; for any Banach space Y , {\displaystyle Y,} the canonical vector space embedding X ⊗ ^ π

    Nuclear space

    Nuclear_space

  • Geometry of numbers
  • Application of geometry in number theory

    {\displaystyle r_{1}} real embeddings and r 2 {\displaystyle r_{2}} pairs of complex embeddings, then the Minkowski embedding realizes K ⊗ Q R ≅ R r 1 ×

    Geometry of numbers

    Geometry of numbers

    Geometry_of_numbers

  • Greedy embedding
  • tree has a greedy embedding. Unsolved problem in mathematics Does every polyhedral graph have a planar greedy embedding with convex faces? More unsolved

    Greedy embedding

    Greedy_embedding

  • Topological vector space
  • Vector space with a notion of nearness

    induced by Y . {\displaystyle Y.} A topological vector space embedding (abbreviated TVS embedding), also called a topological monomorphism, is an injective

    Topological vector space

    Topological_vector_space

  • Clifford torus
  • Geometrical object in four-dimensional space

    smooth) isometric embedding into R3, but by the Nash–Kuiper theorem it does admit C1 isometric embeddings into R3 (constructed via convex integration). The

    Clifford torus

    Clifford torus

    Clifford_torus

  • Hans Rådström
  • Swedish mathematician

    can be isometrically embedded as a convex cone in a normed real vector-space. Under the embedding, the nonempty compact convex sets are mapped to points

    Hans Rådström

    Hans_Rådström

  • Carathéodory's theorem (convex hull)
  • Point in the convex hull of a set P in Rd, is the convex combination of d+1 points in P

    Carathéodory's theorem is a theorem in convex geometry. It states that if a point x {\displaystyle x} lies in the convex hull C o n v ( P ) {\displaystyle

    Carathéodory's theorem (convex hull)

    Carathéodory's_theorem_(convex_hull)

  • Kruskal's tree theorem
  • Well-quasi-ordering of finite trees

    well-quasi-ordered set of labels is itself well-quasi-ordered under homeomorphic embedding. A finitary application of the theorem gives the existence of a fast-growing

    Kruskal's tree theorem

    Kruskal's_tree_theorem

  • Arc diagram
  • Graph drawing with vertices on a line

    drawn using semicircles or other convex curves above or below the line. These drawings are also called linear embeddings or circuit diagrams. Applications

    Arc diagram

    Arc diagram

    Arc_diagram

  • Glossary of Riemannian and metric geometry
  • infranilmanifold is finitely covered by a nilmanifold. Isometric embedding is an embedding preserving the Riemannian metric. Isometry is a surjective map

    Glossary of Riemannian and metric geometry

    Glossary_of_Riemannian_and_metric_geometry

  • Order embedding
  • 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

    Order embedding

    Order_embedding

  • Fáry's theorem
  • Planar graphs have straight drawings

    straight-line combinatorially isomorphic re-embedding of G in which triangle abc is the outer face of the embedding. (Combinatorially isomorphic means that

    Fáry's theorem

    Fáry's_theorem

  • Cycle double cover
  • Cycles in a graph that cover each edge twice

    an embedding on a manifold: the cell complex formed by the cycles of the cover may have non-manifold topology at its vertices. The circular embedding conjecture

    Cycle double cover

    Cycle double cover

    Cycle_double_cover

  • Bipolar orientation
  • Graph orientation with one source and sink

    an st-edge-numbering and st-edge-orientation of a graph are known. Convex embedding, a higher-dimensional generalization of bipolar orientations Rosenstiehl

    Bipolar orientation

    Bipolar orientation

    Bipolar_orientation

  • Steinitz's theorem
  • Graph-theoretic description of polyhedra

    method of W. T. Tutte, the Tutte embedding. Tutte's method begins by fixing one face of a polyhedral graph into convex position in the plane. This face

    Steinitz's theorem

    Steinitz's_theorem

  • Doubly connected edge list
  • Graph data structure

    known as half-edge data structure, is a data structure to represent an embedding of a planar graph in the plane, and polytopes in 3D. This data structure

    Doubly connected edge list

    Doubly_connected_edge_list

  • Graph theory
  • 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

    Graph theory

    Graph_theory

  • Dual graph
  • 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

    Dual graph

    Dual_graph

  • Homotopy principle
  • Partial differential equation technique

    Nash embedding theorem, specifically the Nash–Kuiper theorem, which says that any short smooth (⁠ C ∞ {\displaystyle C^{\infty }} ⁠) embedding or immersion

    Homotopy principle

    Homotopy principle

    Homotopy_principle

  • Convex uniform honeycomb
  • Spatial tiling of convex uniform polyhedra

    geometry, a convex uniform honeycomb is a uniform tessellation which fills three-dimensional Euclidean space with non-overlapping convex uniform polyhedral

    Convex uniform honeycomb

    Convex uniform honeycomb

    Convex_uniform_honeycomb

  • Convex Polytopes
  • 1967 mathematics textbook

    Convex Polytopes is a graduate-level mathematics textbook about convex polytopes, higher-dimensional generalizations of three-dimensional convex polyhedra

    Convex Polytopes

    Convex_Polytopes

  • Polyhedral graph
  • Graph made from vertices and edges of a convex polyhedron

    representation of it as a subdivision of a convex polygon into smaller convex polygons may be found using the Tutte embedding. Tait conjectured that every cubic

    Polyhedral graph

    Polyhedral graph

    Polyhedral_graph

  • John Forbes Nash Jr.
  • American mathematician and Nobel Laureate (1928–2015)

    of the embedding to be very small, with the effect that in many cases it is logically impossible that a highly-differentiable isometric embedding exists

    John Forbes Nash Jr.

    John Forbes Nash Jr.

    John_Forbes_Nash_Jr.

  • Mean curvature flow
  • Parabolic partial differential equation

    is any smooth embedding, then the mean curvature flow with initial data f {\displaystyle f} eventually consists exclusively of embeddings with strictly

    Mean curvature flow

    Mean_curvature_flow

  • Reflexive space
  • Locally convex topological vector space

    a Hausdorff locally convex space then the canonical injection from X {\displaystyle X} into its bidual is a topological embedding if and only if X {\displaystyle

    Reflexive space

    Reflexive_space

  • Slack variable
  • Mathematical concept

    {A} \mathbf {x} +\mathbf {s} =\mathbf {b} } . Slack variables give an embedding of a polytope P ↪ ( R ≥ 0 ) f {\displaystyle P\hookrightarrow (\mathbf

    Slack variable

    Slack_variable

  • List of theorems
  • (combinatorics, order theory) Four functions theorem (combinatorics) Hahn embedding theorem (ordered groups) Hausdorff maximality theorem (set theory) Kleene

    List of theorems

    List_of_theorems

  • Richard S. Hamilton
  • American mathematician (1943–2024)

    that if the initial immersion is an embedding, then all future immersions in the mean curvature flow are embeddings as well. Furthermore, convexity of

    Richard S. Hamilton

    Richard S. Hamilton

    Richard_S._Hamilton

  • Integral polytope
  • Convex polytope whose vertices all have integer Cartesian coordinates

    polytope is a convex polytope whose vertices all have integer Cartesian coordinates. That is, it is a polytope that equals the convex hull of its integer

    Integral polytope

    Integral polytope

    Integral_polytope

  • Integral of a correspondence
  • {\displaystyle Y} . By Rådström's embedding theorem, K {\displaystyle {\mathcal {K}}} can be isometrically embedded as a convex cone C {\displaystyle C} in

    Integral of a correspondence

    Integral_of_a_correspondence

  • Valuation (geometry)
  • definition is reminiscent of the Klain embedding, but more involved. Details can be found in. The Goodey-Weil embedding is a linear injection of Val i {\displaystyle

    Valuation (geometry)

    Valuation_(geometry)

  • Radon's theorem
  • Theorem in geometry about convex sets

    theorem on convex sets, published by Johann Radon in 1921, states that: Any set of d + 2 points in Rd can be partitioned into two sets whose convex hulls intersect

    Radon's theorem

    Radon's theorem

    Radon's_theorem

  • The Convex Mirror
  • Painting by George Washington Lambert

    The Convex Mirror is a c 1916 oil with pencil on wood panel painting by Australian artist George Washington Lambert. The work depicts the interior of Belwethers

    The Convex Mirror

    The Convex Mirror

    The_Convex_Mirror

  • Attention (machine learning)
  • Machine learning technique

    we can start with a simple encoder without self-attention, such as an "embedding layer", which simply converts each input word into a vector by a fixed

    Attention (machine learning)

    Attention (machine learning)

    Attention_(machine_learning)

  • Force-directed graph drawing
  • Physical simulation to visualize graphs

    in the plane with all faces convex by fixing the vertices of the outer face of a planar embedding of the graph into convex position, placing a spring-like

    Force-directed graph drawing

    Force-directed graph drawing

    Force-directed_graph_drawing

  • List of unsolved problems in mathematics
  • projective-plane embeddings of graphs with planar covers The strong Papadimitriou–Ratajczak conjecture: every polyhedral graph has a convex greedy embedding Turán's

    List of unsolved problems in mathematics

    List_of_unsolved_problems_in_mathematics

  • Non-squeezing theorem
  • manifolds, a symplectic embedding φ : ( M , η ) → ( N , ν ) {\displaystyle \varphi :(M,\eta )\to (N,\nu )} is a smooth embedding φ : M → N {\displaystyle

    Non-squeezing theorem

    Non-squeezing_theorem

  • Quadratic programming
  • Solving an optimization problem with a quadratic objective function

    positive definite, the problem is a special case of the more general field of convex optimization. Quadratic programming is particularly simple when Q is positive

    Quadratic programming

    Quadratic_programming

  • LF-space
  • Topological vector space

    locally convex inductive limits do occur in natural questions of analysis. If each of the bonding maps f i j {\displaystyle f_{i}^{j}} is an embedding of TVSs

    LF-space

    LF-space

  • Eulerian poset
  • various restrictions on f-vectors of convex simplicial polytopes, to this more general setting. The face lattice of a convex polytope, consisting of its faces

    Eulerian poset

    Eulerian_poset

  • Soul theorem
  • Complete manifolds of non-negative sectional curvature largely reduce to the compact case

    nonnegative sectional curvature, then there exists a closed totally convex, totally geodesic embedded submanifold whose normal bundle is diffeomorphic to M. Such

    Soul theorem

    Soul_theorem

  • Toroidal polyhedron
  • Partition of a toroidal surface into polygons

    by Stewart, are the quasi-convex toroidal polyhedra. These are Stewart toroids that include all of the edges of their convex hulls. For such a polyhedron

    Toroidal polyhedron

    Toroidal polyhedron

    Toroidal_polyhedron

  • Interval (mathematics)
  • All numbers between two given numbers

    embeddable into the product [ 0 , 1 ] κ {\displaystyle [0,1]^{\kappa }} of κ {\displaystyle \kappa } copies of the intervals. The concepts of convex sets

    Interval (mathematics)

    Interval_(mathematics)

  • Structural rigidity
  • Combinatorial theory of mechanics and discrete geometry

    flexing, and consequent deterioration of the structure. A rigid graph is an embedding of a graph in a Euclidean space which is structurally rigid. That is,

    Structural rigidity

    Structural rigidity

    Structural_rigidity

  • Norm (mathematics)
  • Length in a vector space

    1\right\}.} Conversely: Any locally convex topological vector space has a local basis consisting of absolutely convex sets. A common method to construct

    Norm (mathematics)

    Norm_(mathematics)

  • Geometric programming
  • Optimization problem

    geometric programs (GGPs). CVXPY is a Python-embedded modeling language for specifying and solving convex optimization problems, including GPs, GGPs, and

    Geometric programming

    Geometric_programming

  • Differential geometry of surfaces
  • 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

    Differential_geometry_of_surfaces

  • Polytope compound
  • 3D shape made of polyhedra sharing a common center

    connected to form a convex polyhedron called its convex hull. A compound is a faceting of its convex hull.[citation needed] Another convex polyhedron is formed

    Polytope compound

    Polytope_compound

  • Monotonic function
  • Order-preserving mathematical function

    (Tu-Tv,u-v)\geq 0\quad \forall u,v\in X.} Kachurovskii's theorem shows that convex functions on Banach spaces have monotonic operators as their derivatives

    Monotonic function

    Monotonic function

    Monotonic_function

  • Per Enflo
  • Swedish mathematician and concert pianist

    {\displaystyle D<{\sqrt {m}}} . Consequently, the optimal embedding is the natural embedding, which realizes { 0 , 1 } m {\displaystyle \{0,1\}^{m}} as

    Per Enflo

    Per Enflo

    Per_Enflo

  • Bounded lattice
  • (x):=\downarrow \!x} . One can prove that φ {\displaystyle \varphi } is an order embedding. The Dedekind–MacNeille completion proves a much stronger statement: every

    Bounded lattice

    Bounded_lattice

  • Stein manifold
  • Term in mathematics

    it can be defined as a complex manifold admitting a proper holomorphic embedding into C n {\displaystyle \mathbb {C} ^{n}} for some n {\displaystyle n}

    Stein manifold

    Stein_manifold

  • Gaussian curvature
  • Product of the principal curvatures of a surface

    surface is embedded into R3 and endowed with the Riemannian metric given by the first fundamental form. Suppose that the image of the embedding is a surface

    Gaussian curvature

    Gaussian curvature

    Gaussian_curvature

  • Moser spindle
  • Undirected unit-distance graph requiring four colors

    that the unbounded face is the convex hull of the embedding and every bounded face is a pseudotriangle with only three convex vertices. The complement graph

    Moser spindle

    Moser spindle

    Moser_spindle

  • Theorem of the three geodesics
  • Existence of geodesic circles on surfaces

    closed geodesics (i.e. three embedded geodesic circles). The result can also be extended to quasigeodesics on a convex polyhedron, and to closed geodesics

    Theorem of the three geodesics

    Theorem_of_the_three_geodesics

  • Halin graph
  • Mathematical tree with cycle through leaves

    cross (this is called a planar embedding), and the cycle connects the leaves in their clockwise ordering in this embedding. Thus, the cycle forms the outer

    Halin graph

    Halin graph

    Halin_graph

  • CR manifold
  • Differentiable manifold

    embedded manifold in some C n {\displaystyle \mathbb {C} ^{n}} . Thus not only are we embedding the manifold, but we also demand for global embedding

    CR manifold

    CR_manifold

  • Triangle
  • Shape with three sides

    3n-3} bitangent lines. The convex hull of any pseudotriangle is a triangle. A non-planar triangle is a triangle not embedded in a Euclidean space, roughly

    Triangle

    Triangle

    Triangle

  • Vertex connectivity
  • Graph which remains connected when k or fewer nodes removed

    Connectivity (graph theory) Menger's theorem Structural cohesion Tutte embedding Vertex separator Schrijver (12 February 2003), Combinatorial Optimization

    Vertex connectivity

    Vertex connectivity

    Vertex_connectivity

  • Convexity (algebraic geometry)
  • are smooth orbifolds whenever the target space is convex. A variety X {\displaystyle X} is called convex if the pullback of the tangent bundle to a stable

    Convexity (algebraic geometry)

    Convexity_(algebraic_geometry)

  • Chamfered dodecahedron
  • Goldberg polyhedron with 42 faces

    In geometry, the chamfered dodecahedron is a convex polyhedron with 80 vertices, 120 edges, and 42 faces: 30 hexagons and 12 pentagons. It is constructed

    Chamfered dodecahedron

    Chamfered dodecahedron

    Chamfered_dodecahedron

  • Alexandrov's theorem on polyhedra
  • Polyhedra are determined by surface distance

    describing three-dimensional convex polyhedra in terms of the distances between points on their surfaces. It implies that convex polyhedra with distinct shapes

    Alexandrov's theorem on polyhedra

    Alexandrov's_theorem_on_polyhedra

  • Geometry
  • Branch of mathematics

    the Gaussian curvature of a surface is independent from any specific embedding in a Euclidean space. This implies that surfaces can be studied intrinsically

    Geometry

    Geometry

  • Dilworth's theorem
  • On chains and antichains in partial orders

    ; Saks, Michael E. (1988), "Combinatorial representation and convex dimension of convex geometries", Order, 5 (1): 23–32, doi:10.1007/BF00143895, S2CID 119826035

    Dilworth's theorem

    Dilworth's_theorem

  • Shiu-Yuen Cheng
  • Hong Kong mathematician

    manifolds.[CY77b] Any strictly convex closed hypersurface in the Euclidean space ℝn + 1 can be naturally considered as an embedding of the n-dimensional sphere

    Shiu-Yuen Cheng

    Shiu-Yuen Cheng

    Shiu-Yuen_Cheng

  • Dvoretzky's theorem
  • approximately Euclidean. Equivalently, every high-dimensional bounded symmetric convex set has low-dimensional sections that are approximately ellipsoids. A new

    Dvoretzky's theorem

    Dvoretzky's_theorem

  • Invariant convex cone
  • In mathematics, an invariant convex cone is a closed convex cone in a Lie algebra of a connected Lie group that is invariant under inner automorphisms

    Invariant convex cone

    Invariant_convex_cone

  • R. Tyrrell Rockafellar
  • American mathematician

    Rockafellar developed a general duality theory based on convex conjugate functions that centers on embedding a problem within a family of problems obtained by

    R. Tyrrell Rockafellar

    R. Tyrrell Rockafellar

    R._Tyrrell_Rockafellar

  • Thrackle
  • Graph drawn with all edges intersecting

    A thrackle is an embedding of a graph in the plane in which each edge is a Jordan arc and every pair of edges meet exactly once. Edges may either meet

    Thrackle

    Thrackle

  • 26-fullerene graph
  • 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

    26-fullerene graph

    26-fullerene_graph

  • Antimatroid
  • Mathematical system of orderings or sets

    Antimatroids are equivalent, by complementation, to convex geometries, a combinatorial abstraction of convex sets in geometry. Antimatroids have been applied

    Antimatroid

    Antimatroid

    Antimatroid

  • Spectral clustering
  • Clustering methods

    {\displaystyle V} of selected eigenvectors, mapping — called spectral embedding — of the original n {\displaystyle n} data points is performed to a k

    Spectral clustering

    Spectral clustering

    Spectral_clustering

  • Treemapping
  • Visualisation method for hierchical data

    been proposed that use regions that are general convex polygons, not necessarily rectangular. Convex treemaps were developed in several steps, each step

    Treemapping

    Treemapping

    Treemapping

  • Locally convex vector lattice
  • functional analysis, a locally convex vector lattice (LCVL) is a topological vector lattice that is also a locally convex space. LCVLs are important in

    Locally convex vector lattice

    Locally_convex_vector_lattice

  • Semiorder
  • Numerical ordering with a margin of error

    Locally convex Normed Related Antichain Cofinal Cofinality Comparability Graph Duality Filter Hasse diagram Ideal Net Subnet Order morphism Embedding Isomorphism

    Semiorder

    Semiorder

    Semiorder

  • Low-rank approximation
  • Technique in numerical linear algebra

    time. One of the important ideas been used is called Oblivious Subspace Embedding (OSE), it is first proposed by Sarlos. For p = 1 {\displaystyle p=1}

    Low-rank approximation

    Low-rank_approximation

  • Total relation
  • Type of logical relation

    Locally convex Normed Related Antichain Cofinal Cofinality Comparability Graph Duality Filter Hasse diagram Ideal Net Subnet Order morphism Embedding Isomorphism

    Total relation

    Total_relation

  • Geodesic metric space
  • {\displaystyle s,t\in [0,l]} . Equivalently, c {\displaystyle c} is an isometric embedding of a real interval whose length equals the distance between x {\displaystyle

    Geodesic metric space

    Geodesic_metric_space

  • Hasse diagram
  • Visual depiction of a partially ordered set

    ISBN 978-3-540-58950-1 Jünger, Michael; Leipert, Sebastian (1999), "Level planar embedding in linear time", Graph Drawing (Proc. GD '99), Lecture Notes in Computer

    Hasse diagram

    Hasse diagram

    Hasse_diagram

  • Jean Bourgain
  • Belgian mathematician (1954–2018)

    convex geometry. In 1985, he proved Bourgain's embedding theorem in metric dimension reduction, which states that every metric space can be embedded into

    Jean Bourgain

    Jean Bourgain

    Jean_Bourgain

  • Dual polyhedron
  • Polyhedron associated with another by swapping vertices for faces

    geometric transformation that, when applied to a convex polyhedron, realizes the dual polyhedron as another convex polyhedron. There are many kinds of duality

    Dual polyhedron

    Dual polyhedron

    Dual_polyhedron

  • Normal polytope
  • Type of polytope in mathematics

    In mathematics, specifically in combinatorial commutative algebra, a convex lattice polytope P is called normal if it has the following property: given

    Normal polytope

    Normal_polytope

  • Regular skew polyhedron
  • Polyhedron with non-planar faces

    {\pi }{m}}=\cos {\frac {\pi }{n}}} A first set {l,m|n}, repeats the five convex Platonic solids, and one nonconvex Kepler–Poinsot solid: Coxeter also enumerated

    Regular skew polyhedron

    Regular_skew_polyhedron

AI & ChatGPT searchs for online references containing CONVEX EMBEDDING

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CONVEX EMBEDDING

  • Conner
  • Boy/Male

    American, Christian, German, Indian

    Conner

    High Desire

    Conner

  • CONNER
  • Male

    English

    CONNER

    Variant spelling of English Connor, CONNER means "hound-lover."

    CONNER

  • Tranter
  • Boy/Male

    British, Christian, English

    Tranter

    Wagoner; To Convey

    Tranter

  • Conley
  • Boy/Male

    Irish American

    Conley

    Strong willed or wise. Also a : Hero.

    Conley

  • Coney
  • Surname or Lastname

    English

    Coney

    English : from Middle English cony ‘rabbit’ (a back-formation from conies, from Old French conis, plural of conil), a nickname for someone thought to resemble a rabbit in some way or a metonymic occupational name for a dealer in rabbits or rabbit skins.

    Coney

  • Ponvel
  • Boy/Male

    Indian, Kannada, Tamil

    Ponvel

    God Murugan

    Ponvel

  • CONLEY
  • Male

    English

    CONLEY

    Anglicized form of Irish Gaelic Conláed, CONLEY means "purifying fire."

    CONLEY

  • Conner
  • Surname or Lastname

    Irish

    Conner

    Irish : variant spelling of Connor, now common in Scotland.English : occupational name for an inspector of weights and measures, Middle English connere, cunnere ‘inspector’, an agent derivative of cun(nen) ‘to examine’.

    Conner

  • Conner
  • Boy/Male

    Irish American

    Conner

    Hound lover. Full of desire; much desire.

    Conner

  • Calvex
  • Boy/Male

    American, British, English

    Calvex

    Shepherd

    Calvex

  • Covey
  • Boy/Male

    Irish

    Covey

    Hound of the plains.

    Covey

  • Conlen
  • Boy/Male

    Irish

    Conlen

    Hero.

    Conlen

  • Conte
  • Surname or Lastname

    Italian

    Conte

    Italian : from the title of rank conte ‘count’ (from Latin comes, genitive comitis ‘companion’). Probably in this sense (and the Late Latin sense of ‘traveling companion’), it was a medieval personal name; as a title it was no doubt applied ironically as a nickname for someone with airs and graces or simply for someone who worked in the service of a count.English : variant of Count, cognate with 1.French : nickname for someone in the service of a count or for someone who behaved pretentiously, from Old French conte, cunte ‘count’ (of the same derivation as 1).French (Conté) : variant of Comté (see Comte).

    Conte

  • Conger
  • Surname or Lastname

    English

    Conger

    English : unexplained.

    Conger

  • Conyer
  • Surname or Lastname

    English

    Conyer

    English : metathesized form of the occupational name Coyner.English : possibly an occupational name for a dealer in rabbits or rabbit skins, from an agent derivative of Middle English cony ‘rabbit’ (see Coney).

    Conyer

  • Conde
  • Surname or Lastname

    Spanish and Portuguese

    Conde

    Spanish and Portuguese : nickname from the title of rank conde ‘count’, a derivative of Latin comes, comitis ‘companion’.English : unexplained.

    Conde

  • Colver
  • Boy/Male

    American, British, English

    Colver

    Dove

    Colver

  • Colver
  • Surname or Lastname

    English (Leicestershire)

    Colver

    English (Leicestershire) : variant of Culver.

    Colver

  • Cove
  • Surname or Lastname

    English

    Cove

    English : habitational name from a place named Cove, examples of which are found in Devon, Hampshire, and Suffolk, from Old English cofa ‘cove’, ‘bay’, ‘inlet’, also ‘shelter’, ‘hut’, or a topographic name with the same meaning.

    Cove

  • Coven
  • Surname or Lastname

    English

    Coven

    English : from Old French covine ‘fraud’, ‘deceit’, hence a derogatory nickname for a trickster.English : habitational name from a place in Staffordshire named Coven ‘(place) at the huts or shelters (Old English cofa, dative plural cofum)’.

    Coven

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Online names & meanings

  • Mak
  • Boy/Male

    Indian

    Mak

    Smart; Dashing

  • Tauro
  • Boy/Male

    Spanish

    Tauro

    Bull-like. The constellation Taurus.

  • CLAY
  • Male

    English

    CLAY

    Short form of English Clayton, CLAY means "clay settlement."

  • Murali
  • Boy/Male

    Celebrity, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Oriya, Sanskrit, Tamil, Telugu, Traditional

    Murali

    Flute; Lord Krishna; The King of the Earth

  • Shashmeera
  • Boy/Male

    Hindu

    Shashmeera

  • Mahja |
  • Boy/Male

    Muslim

    Mahja |

    Place to sleep, Quarters, Lodgings

  • FREIDA
  • Female

    Yiddish

    FREIDA

    Variant spelling of Yiddish Frayda, FREIDA means "joy, rejoicing." Compare with another form of Freida.

  • Nijole
  • Girl/Female

    Australian, Greek, Slavic

    Nijole

    Slavic Form of Nicole

  • Malka
  • Girl/Female

    Arabic, Bengali, French, Hawaiian, Hebrew, Hindu, Indian, Jewish, Kannada, Malayalam, Marathi, Muslim, Sanskrit, Sindhi, Telugu

    Malka

    Queen; Princess Blessed by God

  • ALOÏS
  • Male

    German

    ALOÏS

    German name derived from Latin Aloisius, ALOÏS means "famous warrior."

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Other words and meanings similar to

CONVEX EMBEDDING

AI search in online dictionary sources & meanings containing CONVEX EMBEDDING

CONVEX EMBEDDING

  • Convexedly
  • dv.

    In a convex form; convexly.

  • Plano-convex
  • a.

    Plane or flat on one side, and convex on the other; as, a plano-convex lens. See Convex, and Lens.

  • Convexo-convex
  • a.

    Convex on both sides; double convex. See under Convex, a.

  • Convent
  • v. t.

    To call before a judge or judicature; to summon; to convene.

  • Biconvex
  • a.

    Convex on both sides; as, a biconvex lens.

  • Concavo-convex
  • a.

    Concave on one side and convex on the other, as an eggshell or a crescent.

  • Convex
  • n.

    A convex body or surface.

  • Convexed
  • a.

    Made convex; protuberant in a spherical form.

  • Concavo-convex
  • a.

    Specifically, having such a combination of concave and convex sides as makes the focal axis the shortest line between them. See Illust. under Lens.

  • Convexo-concave
  • a.

    Convex on one side, and concave on the other. The curves of the convex and concave sides may be alike or may be different. See Meniscus.

  • Conger
  • n.

    The conger eel; -- called also congeree.

  • Convey
  • v. t.

    To cause to pass from one place or person to another; to serve as a medium in carrying (anything) from one place or person to another; to transmit; as, air conveys sound; words convey ideas.

  • Contex
  • v. t.

    To context.

  • Convert
  • v. t.

    To exchange for some specified equivalent; as, to convert goods into money.

  • Convexo-plane
  • a.

    Convex on one side, and flat on the other; plano-convex.

  • Convexly
  • adv.

    In a convex form; as, a body convexly shaped.

  • Congee
  • n. & v.

    See Conge, Conge.

  • Coved
  • imp. & p. p.

    of Cove

  • Convey
  • v. t.

    To impart or communicate; as, to convey an impression; to convey information.

  • Convey
  • v. t.

    To accompany; to convoy.