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Vector-based collection of geographic information system (GIS) data about Earth
The Vector Map (VMAP), also called Vector Smart Map, is a vector-based collection of geographic information system (GIS) data about Earth at various levels
Vector_Map
Mathematical parametrization of vector spaces by another space
In mathematics, a vector bundle is a topological construction that makes precise the idea of a family of vector spaces parameterized by another space
Vector_bundle
Algebraic structure in linear algebra
operations of vector addition and scalar multiplication must satisfy certain requirements, called vector axioms. Real vector spaces and complex vector spaces
Vector_space
Mathematical function, in linear algebra
algebra, a linear map (or linear mapping) is a particular kind of function between vector spaces, which respects the basic operations of vector addition and
Linear_map
Packets of geographic data in vector format
styled web maps, combining certain benefits of pre-rendered raster map tiles with vector map data. As with the widely used raster tiled web maps, map data is
Vector_tiles
Mathematical operation on vector spaces
of two vector spaces V {\displaystyle V} and W {\displaystyle W} (over the same field) is a vector space to which is associated a bilinear map V × W →
Tensor_product
Function of two vectors linear in each argument
In mathematics, a bilinear map is a function combining elements of two vector spaces to yield an element of a third vector space, and is linear in each
Bilinear_map
Assignment of a vector to each point in a subset of Euclidean space
In vector calculus and physics, a vector field is an assignment of a vector to each point in a space, most commonly Euclidean space R n {\displaystyle
Vector_field
Map displayed with adjoining small images
Google Maps was one of the first major mapping sites to use this technique. The first tiled web maps used raster tiles, before the emergence of vector tiles
Tiled_web_map
Topics referred to by the same term
Look up vector or vectorial in Wiktionary, the free dictionary. Vector most often refers to: Disease vector, an agent that carries and transmits an infectious
Vector
Calculus of vector-valued functions
Vector calculus or vector analysis is a branch of mathematics concerned with the differentiation and integration of vector fields, primarily in three-dimensional
Vector_calculus
Set of methods for supervised statistical learning
In machine learning, support vector machines (SVMs, also support vector networks) are supervised max-margin models with associated learning algorithms
Support_vector_machine
Algebraic structure decomposed into a direct sum
mathematics, a graded vector space is a vector space that has the extra structure of a grading or gradation, which is a decomposition of the vector space into a
Graded_vector_space
Mathematics concept
mathematics, the complex conjugate of a complex vector space V {\displaystyle V\,} is a complex vector space V ¯ {\displaystyle {\overline {V}}} that has
Complex conjugate of a vector space
Complex_conjugate_of_a_vector_space
Vector space with a notion of nearness
A topological vector space is a vector space that is also a topological space with the property that the vector space operations (vector addition and scalar
Topological_vector_space
Standard for encoding geographical information
spatial vector storage Keyhole Markup Language (KML) – XML based open standard (by OpenGIS) for GIS data exchange MapInfo TAB format – MapInfo's vector data
GIS_file_format
Vectors mapped to 0 by a linear map
the kernel of a linear map, also known as the null space or nullspace, is the part of the domain which is mapped to the zero vector of the co-domain; the
Kernel_(linear_algebra)
Mathematical operation in linear algebra
original vector space. A linear map A from a vector space of dimension n into a vector space of dimension m maps a column vector x = ( x 1 x 2 ⋮ x n ) {\displaystyle
Matrix_multiplication
Mathematical representation of absence of a value
be a vector mapped to some null by a function under consideration (such as a quadratic form coming with the vector space, see null vector, a linear mapping
Null_(mathematics)
Machine learning technique useful for dimensionality reduction
node in the map space is associated with a "weight" vector, which is the position of the node in the input space. While nodes in the map space stay fixed
Self-organizing_map
Number of vectors in any basis of the vector space
In mathematics, the dimension of a vector space V is the cardinality (i.e., the number of vectors) of a basis of V over its base field. It is sometimes
Dimension_(vector_space)
Algebraic object with geometric applications
of algebraic objects associated with a vector space. Tensors may map between different objects such as vectors, scalars, and even other tensors. There
Tensor
Geometric transformation that preserves lines but not angles nor the origin
W the respective associated vector spaces over the field k. A map f : X → Z is an affine map if there exists a linear map mf : V → W such that mf (x −
Affine_transformation
Collaborative map database
slippy map. Alternatively, a server application converts raw OSM data into vector tiles according to a schema, such as Mapbox Streets, OpenMapTiles, or
OpenStreetMap
In mathematics, vector space of linear forms
In mathematics, any vector space V {\displaystyle V} has a corresponding dual vector space (or just dual space for short) consisting of all linear forms
Dual_space
Branch of mathematics
common to all vector spaces. Linear maps are mappings between vector spaces that preserve the vector-space structure. Given two vector spaces V and W
Linear_algebra
Vector space with generalized dot product
space is a real or complex vector space endowed with an operation called an inner product. The inner product of two vectors in the space is a scalar, often
Inner_product_space
Induced map between the dual spaces of the two vector spaces
adjoint of a linear map between two vector spaces, defined over the same field, is an induced map between the dual spaces of the two vector spaces. The transpose
Transpose_of_a_linear_map
Linear map from a vector space to its field of scalars
covector) is a linear map from a vector space to its field of scalars (often, the real numbers or the complex numbers). If V is a vector space over a field
Linear_form
Euclidean space without distance and angles
space is nothing more than a vector space whose origin we try to forget about, by adding translations to the linear maps"). Imagine that Alice knows that
Affine_space
Linear approximation of smooth maps on tangent spaces
used to push tangent vectors on M {\displaystyle M} forward to tangent vectors on N {\displaystyle N} . The differential of a map φ {\displaystyle \varphi
Pushforward_(differential)
Length in a vector space
In mathematics, a norm is a function from a real or complex vector space to the non-negative real numbers that behaves in certain ways like the distance
Norm_(mathematics)
Submachine gun
The KRISS Vector is a submachine gun developed by the American company KRISS USA, formerly Transformational Defense Industries (TDI). Civilian variants
KRISS_Vector
Set of vectors used to define coordinates
In mathematics, a set B of elements of a vector space V is called a basis (pl.: bases) if every element of V can be written in a unique way as a finite
Basis_(linear_algebra)
Method in natural language processing
learning techniques, where words or phrases from the vocabulary are mapped to vectors of real numbers. Methods to generate this mapping include neural networks
Word_embedding
Mathematical operation on vectors in 3D space
product or vector product (occasionally directed area product, to emphasize its geometric significance) is a binary operation on two vectors in a three-dimensional
Cross_product
Computer graphics images defined by points, lines and curves
Vector graphics are a form of computer graphics in which visual images are created directly from geometric shapes defined on a Cartesian plane, such as
Vector_graphics
Vector Product Format (VPF) is a military standard for vector-based digital map products produced by the U.S. Department of Defense (DOD). It has been
Vector_Product_Format
Physical quantities taking values at each point in space and time
by a scalar, vector, spinor, or tensor – that has a value for each point in space and time. An example of a scalar field is a weather map of surface temperatures
Field_(physics)
Vector representing the position of a point with respect to a fixed origin
In geometry, a position or position vector, also known as location vector or radius vector, is a Euclidean vector that represents a point P in space.
Position_(geometry)
Symbolic depiction of spatial relationships
Cadastral map Climatic map Geological map Historical map Linguistic map Nautical map Physical map Political map Relief map Resource map Road map Star map Street
Map
Theorem on extension of bounded linear functionals
allows the extension of bounded linear functionals defined on a vector subspace of some vector space to the whole space. The theorem also shows that there
Hahn–Banach_theorem
Vector space on which a distance is defined
In mathematics, a normed vector space or normed space is a vector space, typically over the real or complex numbers, on which a norm is defined. A norm
Normed_vector_space
Netherlands-based mapping data company
functionality to include vector maps, turn-by-turn guidance, truck routing, 3D venue maps and augmented reality. Offline Enterprise Maps (for truck attributes
Here_Technologies
Horizontal angle from north or other reference cardinal direction
surface, and the reference vector points to true north. The azimuth is the angle between the north vector and the star's vector on the horizontal plane.
Azimuth
Approximate nearest neighbor search algorithm
searching vector data. In these systems, an item such as a document, image, song, or user profile is represented by a list of numbers called a vector. Items
Hierarchical navigable small world
Hierarchical_navigable_small_world
Vector differential operator
or nabla, is an operator used in mathematics (particularly in vector calculus) as a vector differential operator, usually represented by ∇ (the nabla symbol)
Del
Algebraic operation on coordinate vectors
numbers (usually coordinate vectors), and returns a single number. In Euclidean geometry, the scalar product of two vectors is the dot product of their
Dot_product
Conjugate homogeneous additive map
Antilinear maps stand in contrast to linear maps, which are additive maps that are homogeneous rather than conjugate homogeneous. If the vector spaces are
Antilinear_map
Representation learning technique
representation learning technique that maps complex, high-dimensional data into a lower-dimensional vector space of numerical vectors. It also denotes the resulting
Embedding_(machine_learning)
2007 video game
top of the screen and are represented separately as different icons. A vector map can be displayed on the screen, showing characters' locations and their
Death_to_Spies
Dimension of the column space of a matrix
by rg(A), from German Rang. More generally, the rank of a linear map between two vector spaces is the dimension of its image. In this section, we give some
Rank_(linear_algebra)
Models used to produce word embeddings
high-dimension vector of numbers which capture relationships between words. In particular, words which appear in similar contexts are mapped to vectors which are
Word2vec
Plasmid cloning vector
pUC19 is one of a series of plasmid cloning vectors designed by Joachim Messing and co-workers. The designation "pUC" is derived from the classical "p"
PUC19
Texture mapping technique
property. Normal map reuse is made possible by encoding maps in tangent space. The tangent space is a vector space, which is tangent to the model's surface. The
Normal_mapping
Type of function in linear algebra
defining properties of a norm except that it is not required to map non-zero vectors to non-zero values. In functional analysis the name Banach functional
Sublinear_function
Line or vector perpendicular to a curve or a surface
P is a vector perpendicular to the tangent plane of the surface at P. The vector field of normal directions to a surface is known as Gauss map. The word
Normal_(geometry)
Tangent spaces of a manifold
tangent vector to each point of a manifold is called a vector field. Specifically, a vector field on a manifold M {\displaystyle M} is a smooth map V : M
Tangent_bundle
Multivariate derivative (mathematics)
In vector calculus, the gradient of a scalar-valued differentiable function f {\displaystyle f} of several variables is the vector field (or vector-valued
Gradient
Scalar-valued bilinear function
mathematics, a bilinear form is a bilinear map V × V → K on a vector space V (the elements of which are called vectors) over a field K (the elements of which
Bilinear_form
Classical quantization technique from signal processing
density estimation. Vector quantization is based on the competitive learning paradigm, so it is closely related to the self-organizing map model and to sparse
Vector_quantization
Differential geometry topic
differential geometry, the Gauss map of a surface is a function that maps each point in the surface to its normal direction, a unit vector that is orthogonal to
Gauss_map
Public domain geographic data collection
Natural Earth's data set contains integrated vector and raster mapping data. The original authors of the map dataset are Tom Patterson and Nathaniel Vaughn
Natural_Earth
Topologically Integrated Geographic Encoding and Referencing (Tiger)/Line 2003 vector map data, and the USGS GeoNames database. Based on the archive of the website
Libre_Map_Project
Design of geospatial data storage
resource data as "faces" (vector polygons), although these were typically derived from raster scans of paper maps. Dual Independent Map Encoding (DIME, US Census
Data_model_(GIS)
\mathbb {K} } , is called a vector bornology if B {\displaystyle {\mathcal {B}}} makes the vector space operations into bounded maps. A bornology on a set X
Vector_bornology
Matrix operation which flips a matrix over its diagonal
of infinite dimensional vector spaces). In the finite dimensional case, the matrix representing the transpose of a linear map is the transpose of the
Transpose
(that is, topological vector spaces), then it makes sense to ask whether all linear maps are continuous. It turns out that for maps defined on infinite-dimensional
Discontinuous_linear_map
bilinear maps of topological vector spaces that is weaker than continuity but stronger than separate continuity. Many important bilinear maps that are
Hypocontinuous_bilinear_map
Computer vision framework
model to move toward the edge map is to take the spatial gradient of the edge map, yielding a vector field. Since the edge map has its highest intensities
Gradient_vector_flow
Mathematical description of spacetime used in relativity
a non-degenerate bilinear form provides a map between a vector space and its dual; in this context, the map is between the tangent spaces of M and the
Minkowski_spacetime
Circulation density in a vector field
In vector calculus, the curl, also known as rotor, is a vector operator that describes the infinitesimal circulation of a vector field in three-dimensional
Curl_(mathematics)
Operator in differential topology
bracket of vector fields, also known as the Jacobi–Lie bracket or the commutator of vector fields, is an operator that assigns to any two vector fields X
Lie_bracket_of_vector_fields
Topic in mathematics
mathematics, the complexification of a vector space V over the field of real numbers (a "real vector space") yields a vector space VC over the complex number
Complexification
Address from which a CPU starts fetching instructions after a reset
to form the segmented address FFFFh:0000h, which maps to physical address FFFF0h. The reset vector for the Intel 80286 processor is at physical address
Reset_vector
Matrix consisting of a single row or column
column vectors.) The transpose (indicated by T) of any row vector is a column vector, and the transpose of any column vector is a row vector: [ x 1 x
Row_and_column_vectors
Exterior algebraic map taking tensors from p forms to n-p forms
star operator or Hodge star is a linear map defined on the exterior algebra of a finite-dimensional oriented vector space endowed with a nondegenerate symmetric
Hodge_star_operator
Algebra associated to any vector space
In mathematics, the exterior algebra or Grassmann algebra of a vector space V {\displaystyle V} is an associative algebra that contains V , {\displaystyle
Exterior_algebra
Vector-valued function of multiple vectors, linear in each argument
Any bilinear map is a multilinear map. For example, any inner product on a R {\displaystyle \mathbb {R} } -vector space is a multilinear map, as is the
Multilinear_map
Type of display device
A vector monitor, vector display, or calligraphic display is a display device used for computer graphics up through the 1970s. It is a type of CRT, similar
Vector_monitor
Distance-preserving mathematical transformation
and Y are complex vector spaces then A may fail to be linear as a map over C {\displaystyle \mathbb {C} } . Given two normed vector spaces V {\displaystyle
Isometry
Vector behavior under coordinate changes
It lives in the dual vector space, and represents a linear map from vectors to scalars. The dot product operator involving vectors is a good example of
Covariance and contravariance of vectors
Covariance_and_contravariance_of_vectors
Group of standard library class templates
underlying container. std::flat_map<K, V> implements a "flat map" (stores a sorted set of unique key-value pairs) with vector as the default underlying containers
Sequence_container_(C++)
Mathematical concept
In mathematics, a symplectic vector space is a vector space V {\displaystyle V} over a field F {\displaystyle F} (for example the real numbers R {\displaystyle
Symplectic_vector_space
Coordinate change in linear algebra
ordered basis of a vector space of finite dimension n allows representing uniquely any element of the vector space by a coordinate vector, which is a finite
Change_of_basis
Concepts in mathematics
vector field is a map to the tangent space, it represents the tangent vectors to some function at each point. Splitting the tangent vectors into directional
Vector_flow
Normed vector space that is complete
normed vector space. Thus, a Banach space is a vector space with a metric that allows the computation of vector length and distance between vectors and is
Banach_space
Function, homomorphism, or morphism
term map may be used to distinguish some special types of functions, such as homomorphisms. For example, a linear map is a homomorphism of vector spaces
Map_(mathematics)
Fundamental space of geometry
{\frac {(}{}}}} which maps O to the zero vector and has the identity as associated linear map. The inverse isometry is the map v ↦ O + v . {\displaystyle
Euclidean_space
Vector field on a pseudo-Riemannian manifold that preserves the metric tensor
mathematics and theoretical physics, a Killing vector field or Killing field (named after Wilhelm Killing) is a vector field on a Riemannian manifold or pseudo-Riemannian
Killing_vector_field
Space where bounded operators are continuous
bornologies (i.e. they map bounded subsets to bounded subsets). A vector bornology B {\displaystyle {\mathcal {B}}} is called a convex vector bornology if it
Bornological_space
The MapInfo TAB format is a geospatial vector data format for geographic information systems software. It is developed and regulated by Precisely as a
MapInfo_TAB_format
of mathematics concerning linear equations and linear maps and their representations in vector spaces and through matrices. Linear equation System of
Outline_of_linear_algebra
Mathematical operation
^{*}f)(x)=f(\phi (x))} is a smooth map from M {\displaystyle M} to A {\displaystyle A} . If E {\displaystyle E} is a vector bundle (or indeed any fiber bundle)
Pullback (differential geometry)
Pullback_(differential_geometry)
Open railway mapping software project
started in 2011. The OpenRailwayMap website was launched in mid 2013. The map originally supported both raster tiles and vector tiles, but support for the
OpenRailwayMap
Measure of dot density
Resolution". Support. Retrieved 2025-11-07. Wilder, Baasil T. Raster and Vector Map Images (Report). Smithsonian Research Online. Retrieved May 12, 2026.
Dots_per_inch
2D image 2D texture map A texture map with two dimensions, typically indexed by UV coordinates. 2D vector A two-dimensional vector, a common data type
Glossary_of_computer_graphics
Mathematical operation with two operands
scalar multiplication of vector spaces takes a scalar and a vector to produce a vector, and scalar product takes two vectors to produce a scalar. Binary
Binary_operation
Vector operator in vector calculus
In vector calculus, divergence is a vector operator that operates on a vector field, producing a scalar field giving the rate that the vector field alters
Divergence
Map from tangent space to the manifold
exponential map is well-defined at every point of the tangent bundle. Intuitively speaking, the exponential map takes a given tangent vector to the manifold
Exponential map (Riemannian geometry)
Exponential_map_(Riemannian_geometry)
VECTOR MAP
VECTOR MAP
Surname or Lastname
Scottish
Scottish : Anglicized form of the Gaelic personal name Eachann (earlier Eachdonn, already confused with Norse Haakon), composed of the elements each ‘horse’ + donn ‘brown’.English : found in Yorkshire and Scotland, where it may derive directly from the medieval personal name. According to medieval legend, Britain derived its name from being founded by Brutus, a Trojan exile, and Hector was occasionally chosen as a personal name, as it was the name of the Trojan king’s eldest son. The classical Greek name, HektÅr, is probably an agent derivative of Greek ekhein ‘to hold back’, ‘hold in check’, hence ‘protector of the city’.German, French, and Dutch : from the personal name (see 2 above). In medieval Germany, this was a fairly popular personal name among the nobility, derived from classical literature. It is a comparatively rare surname in France.
Boy/Male
English American
Doctor; teacher.
Male
English
 Anglicized form of Scottish Gaelic Eachann, HECTOR means "brown horse." Compare with another form of Hector.
Boy/Male
American, Australian, British, Chinese, Christian, Danish, Dutch, English, French, German, Greek, Italian, Latin, Portuguese, Shakespearean, Spanish
Steadfast; Anchor; Holds Fast; Star; Coined from Esther Vanhomrigh; Tenacious; Defend; Hold Fast; Coined from Esther Vanho
Boy/Male
Christian & English(British/American/Australian)
Conqueror
Male
Portuguese
Galician-Portuguese form of Roman Latin Victor, VITOR means "conqueror."
Male
Arthurian
, sir Hector de Maris; (defender).
Boy/Male
Christian & English(British/American/Australian)
Steadfast
Male
Greek
(á¼ÎºÏ„ωÏ) Variant spelling of Greek Hektor, EKTOR means "defend; hold fast."
Male
English
Short form of English Sylvester, VESTER means "from the forest."
Boy/Male
Arthurian Legend
Father of Arthur.
Male
English
Roman Latin name VICTOR means "conqueror."Â
Male
Portuguese
Portuguese form of Latin Hector, HEITOR means "defend; hold fast."
Boy/Male
Australian, Basque, Czech, Czechoslovakian, Danish, Finnish, French, German, Hungarian, Latin, Polish, Slovenia, Swedish, Swiss, Ukrainian
The Conqueror; Victory; Victorious; Conquer
Boy/Male
American, British, Christian, Danish, Dutch, English, Finnish, French, German, Greek, Hindu, Indian, Irish, Jamaican, Latin, Romanian, Slovenia, Spanish, Swedish, Swiss, Tamil, Ukrainian
Victorious; Conqueror; Winner; Champion; One who Conquers; Victory
Male
Scandinavian
 Scandinavian form of Roman Latin Victor, VIKTOR means "conqueror." Compare with another form of Viktor.
Male
Russian
(Cyrillic Виктор): Slavic form of Roman Latin Victor, VIKTOR means "conqueror." In use by the Bulgarians, Russians and Serbians. Compare with another form of Viktor.
Boy/Male
Spanish American Shakespearean Greek Latin
Tenacious.
Boy/Male
Latin American Spanish
Conqueror.
Boy/Male
Spanish
Victor.
VECTOR MAP
VECTOR MAP
Girl/Female
Tamil
Rutakshi | à®°à¯à®¤à®¾à®•à¯à®·à¯€
Girl/Female
Arabic, Australian, Bangladeshi, Chinese, Dutch, Greek, Indian, Japanese, Muslim, Tamil, Telugu
Graceful
Boy/Male
Irish
Serves Christ.
Boy/Male
Arabic, Australian, Indian, Parsi, Turkish
Lion
Girl/Female
Indian
The Queen of Rudhra
Girl/Female
Hindu
The greatest fem
Girl/Female
Hindu, Indian
Writing; Picture
Girl/Female
British, English
Occupational Name; Cloth-walker
Biblical
that hears or obeys the Lord
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam
Clayish; Sludgy
VECTOR MAP
VECTOR MAP
VECTOR MAP
VECTOR MAP
VECTOR MAP
n.
A term made up of the two parts / + /1 /-1, where / and /1 are vectors.
a.
Pertaining to a rector or a rectory; rectoral.
n.
Same as Radius vector.
n.
A directed quantity, as a straight line, a force, or a velocity. Vectors are said to be equal when their directions are the same their magnitudes equal. Cf. Scalar.
n.
An African weaver bird (Textor alector).
n.
A contrivance for removing superfluous ink or coloring matter from a roller. See Doctor, 4.
n.
Any mechanical contrivance intended to remedy a difficulty or serve some purpose in an exigency; as, the doctor of a calico-printing machine, which is a knife to remove superfluous coloring matter; the doctor, or auxiliary engine, called also donkey engine.
v. t.
To treat as a physician does; to apply remedies to; to repair; as, to doctor a sick man or a broken cart.
n.
A mathematical instrument, consisting of two rulers connected at one end by a joint, each arm marked with several scales, as of equal parts, chords, sines, tangents, etc., one scale of each kind on each arm, and all on lines radiating from the common center of motion. The sector is used for plotting, etc., to any scale.
n.
A woman who wins a victory; a female victor.
n.
An astronomical instrument, the limb of which embraces a small portion only of a circle, used for measuring differences of declination too great for the compass of a micrometer. When it is used for measuring zenith distances of stars, it is called a zenith sector.
a.
Of or pertaining to victory, or a victor' being a victor; bringing or causing a victory; conquering; winning; triumphant; as, a victorious general; victorious troops; a victorious day.
v. t.
To tamper with and arrange for one's own purposes; to falsify; to adulterate; as, to doctor election returns; to doctor whisky.
n.
The ratio of one vector to another in length, no regard being had to the direction of the two vectors; -- so called because considered as a stretching factor in changing one vector into another. See Versor.
n.
A pregnant woman; a mother; as, A has a son B by one venter, and a daughter C by another venter; children by different venters.
n.
The province of a rector; a parish church, parsonage, or spiritual living, with all its rights, tithes, and glebes.
v. t.
To confer a doctorate upon; to make a doctor.
n.
A belly, or protuberant part; a broad surface; as, the venter of a muscle; the venter, or anterior surface, of the scapula.
n.
The turning factor of a quaternion.
n.
The chief elective officer of some universities, as in France and Scotland; sometimes, the head of a college; as, the Rector of Exeter College, or of Lincoln College, at Oxford.