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Concept in linear algebra
The vector projection (also known as the vector component or vector resolution) of a vector a on (or onto) a non-zero vector b is the orthogonal projection
Vector_projection
Idempotent linear transformation from a vector space to itself
linear algebra and functional analysis, a projection is a linear transformation P {\displaystyle P} from a vector space to itself (an endomorphism) such
Projection_(linear_algebra)
Mathematics visualization
In mathematics, the scalar projection of a vector a {\displaystyle \mathbf {a} } on (or onto) a vector b , {\displaystyle \mathbf {b} ,} also known as
Scalar_projection
Concept in statistics
". The formula for the vector of residuals r {\displaystyle \mathbf {r} } can also be expressed compactly using the projection matrix: r = y − y ^ = y
Projection_matrix
to/from the more familiar Euclidean distance (L2-norm) is possible via vector projection, though results in a less uniform distribution of quantization points
Pyramid_vector_quantization
Mathematical parametrization of vector spaces by another space
:E\to X} (bundle projection) for every x {\displaystyle x} in X {\displaystyle X} , the structure of a finite-dimensional real vector space on the fiber
Vector_bundle
Geometry problem
((\mathbf {a} -\mathbf {p} )\cdot \mathbf {n} )\mathbf {n} } is a vector that is the projection of a − p {\displaystyle \mathbf {a} -\mathbf {p} } onto the
Distance from a point to a line
Distance_from_a_point_to_a_line
Design technique
A 3D projection (or graphical projection) is a design technique used to display a three-dimensional object (3D object) on a two-dimensional plane. These
3D_projection
Mathematical operation on vectors in 3D space
with the dot product (projection product). The magnitude of the cross product equals the area of a parallelogram with the vectors for sides; in particular
Cross_product
Broad concept generalizing scalars in mathematics and physics
Vector projection, also known as vector resolute or vector component, a linear mapping producing a vector parallel to a second vector Vector-valued function
Vector (mathematics and physics)
Vector_(mathematics_and_physics)
Second order tensor in vector algebra
that fits in with vector algebra. There are numerous ways to multiply two Euclidean vectors. The dot product takes in two vectors and returns a scalar
Dyadics
Geometric object that has length and direction
physics, and engineering, a Euclidean vector or simply a vector (sometimes called a geometric vector or spatial vector) is a geometric object that has magnitude
Euclidean_vector
Means of projecting three-dimensional objects in two dimensions
projection, or orthogonal projection (also analemma), is a means of representing three-dimensional objects in two dimensions. Orthographic projection
Orthographic_projection
Topics referred to by the same term
projection map in measure theory Vector projection, orthogonal projection of a vector onto a straight line Projection (relational algebra), a type of unary
Projection
Velocity of an object as the rate of distance change between the object and a point
observer is the rate of change of the vector displacement between the two points. It is formulated as the vector projection of the target-observer relative
Radial_velocity
Gradient whose components are spatial derivatives
gradient; the remainder is called horizontal gradient component, the vector projection of the full gradient onto the horizontal plane. Examples: Biology
Spatial_gradient
Use of coordinates for representing vectors
system which uses vectors and scalars to span a four-dimensional space. For a quaternion q = a + bi + cj + dk, Hamilton used two projections: S q = a, for
Vector_notation
Technique to reduce dimensionality of points in Euclidean space
The core idea behind random projection is given in the Johnson-Lindenstrauss lemma, which states that if points in a vector space are of sufficiently high
Random_projection
Calligraphic projection (also known as vector graphics) is a system for displaying or projecting an image composed of a beam of light or electrons directly
Calligraphic_projection
Vector formula for a rotation in space, given its axis
{v} _{\perp }\,,} where the component parallel to k is called the vector projection of v on k, v ∥ = ( v ⋅ k ) k {\displaystyle \mathbf {v} _{\parallel
Rodrigues'_rotation_formula
Algebraic operation on coordinate vectors
the vector. The scalar projection (or scalar component) of a Euclidean vector a {\displaystyle \mathbf {a} } in the direction of a Euclidean vector b {\displaystyle
Dot_product
Measure used in functional analysis
projection-valued measure, or spectral measure, is a function defined on certain subsets of a fixed set and whose values are self-adjoint projections
Projection-valued_measure
Partially ordered vector space, ordered as a lattice
mathematics, a Riesz space, lattice-ordered vector space or vector lattice is a partially ordered vector space where the order structure is a lattice
Riesz_space
is an extension of vector algebra, providing additional algebraic structures on vector spaces, with geometric interpretations. Vector algebra uses all dimensions
Comparison of vector algebra and geometric algebra
Comparison_of_vector_algebra_and_geometric_algebra
Algebraic structure designed for geometry
subspace and orthogonal projections onto that subspace. Rotations and reflections are represented as elements. Unlike a vector algebra, a geometric algebra
Geometric_algebra
Orthonormalization of a set of vectors
vectors of a full column rank matrix yields the QR decomposition (it is decomposed into an orthogonal and a triangular matrix). The vector projection
Gram–Schmidt_process
Mapping from a Euclidean space to itself
{\displaystyle l} is equal to 2 times the projection of v {\displaystyle v} on l {\displaystyle l} , minus the vector v {\displaystyle v} . Reflections in
Reflection_(mathematics)
It is named after Jean Leray. The basic idea of the Leray projection is that any vector-field in three-dimensions admits a decomposition into a curl-free
Leray_projection
Family of linear transformations
unit vector n = v/v = β/β in the direction of relative motion, the relative velocity is v = vn with magnitude v and direction n, and vector projection and
Lorentz_transformation
Computer graphics related to video games
games or text-based games that used text characters instead of bitmapped or vector graphics. Examples include MUDs (multi-user dungeons), where players could
Video_game_graphics
Method in natural language processing
approximation and projection (UMAP), and T-Distributed Stochastic Neighbour Embedding (t-SNE) are used to reduce the dimensionality of word vector spaces and
Word_embedding
"Bouncing back" of waves at an interface
The wave vector of the reflected wave is such that its vector projection on the mirror normal is the negation of that of the incident wave vector while the
Reflection_(physics)
Type of vector space in math
spaces of any finite or infinite dimension. A Hilbert space is an abstract vector space, and it has the additional structure of an inner product that allows
Hilbert_space
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
Approach to dimensionality reduction
mapping from a high-dimensional vector space to a set of lower dimensional vector spaces is a multilinear projection. When observations are retained in
Multilinear_subspace_learning
Method for numerically solving time-dependent incompressible fluid-flow problems
In computational fluid dynamics, the projection method, also called Chorin's projection method, is an effective means of numerically solving time-dependent
Projection method (fluid dynamics)
Projection_method_(fluid_dynamics)
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
Vector used in astronomy
In classical mechanics, the Laplace–Runge–Lenz vector (LRL vector) is a vector used chiefly to describe the shape and orientation of the orbit of one
Laplace–Runge–Lenz_vector
Index of articles associated with the same name
angle between the two vectors. Alternatively, it is defined as the product of the projection of the first vector onto the second vector and the magnitude
Vector_multiplication
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
Continuous surjection satisfying a local triviality condition
the bundle projection is a local homeomorphism. It follows that the fiber is a discrete space. A special class of fiber bundles, called vector bundles,
Fiber_bundle
Tangent spaces of a manifold
v {\displaystyle v} is a tangent vector to M {\displaystyle M} at x {\displaystyle x} . There is a natural projection π : T M ↠ M {\displaystyle \pi
Tangent_bundle
Method to control electric motors
current input through projections or rotations back and forth between the three-phase speed and time dependent system and these vectors' rotating reference-frame
Field-oriented_control
Geometric algorithms for signal processing
Stratonovich projection filters above, the vector fields F {\displaystyle F} and G {\displaystyle G} were projected separately. By definition, the projection is
Projection_filters
Simulation of the appearance of being three-dimensional
frontal view and a side view. In axonometric projection and oblique projection, two forms of parallel projection, the viewpoint is rotated slightly to reveal
2.5D
Topics referred to by the same term
the Exofleet of Exosquad Scalar resolute or scalar projection Vector resolute or vector projection Resolute desk, a desk in the White House Oval Office
Resolute
Geometric property of objects being in the same plane
{\displaystyle \mathbf {\hat {a}} } denotes the unit vector in the direction of a. That is, the vector projections of c on a and c on b add to give the original
Coplanarity
Geometric space with four dimensions
everyday life. Single locations in Euclidean 4D space can be given as vectors or 4-tuples, i.e., as ordered lists of numbers such as (x, y, z, w). For
Four-dimensional_space
Projection of a sphere through its center onto a plane
gnomonic projection, also known as a central projection or rectilinear projection, is a perspective projection of a sphere, with center of projection at the
Gnomonic_projection
Type of video game graphics
digital art that produce a three-dimensional (3D) effect through parallel projection; which angles the viewpoint to reveal facets of the environment that would
Isometric_video_game_graphics
Central object in linear algebra; mapping vectors to vectors
{\displaystyle \mathbb {R} ^{m}} and x {\displaystyle \mathbf {x} } is a column vector with n {\displaystyle n} entries, then there exists an m × n {\displaystyle
Transformation_matrix
On closed convex subsets in Hilbert space
In mathematics, the Hilbert projection theorem is a famous result of convex analysis that says that for every vector x {\displaystyle x} in a Hilbert space
Hilbert_projection_theorem
Horizontal angle from north or other reference cardinal direction
the projection of the vector onto the xy-plane. A special case of an azimuth angle is the angle in polar coordinates of the component of the vector in
Azimuth
Projection of a 3D object onto a plane via parallel rays
parallel projection (or axonometric projection) is a projection of an object in three-dimensional space onto a fixed plane, known as the projection plane
Parallel_projection
Vector field representation in 3D curvilinear coordinate systems
radius vector r {\displaystyle r} connecting the origin to the point in question, while ϕ {\displaystyle \phi } is the angle between the projection of the
Vector fields in cylindrical and spherical coordinates
Vector_fields_in_cylindrical_and_spherical_coordinates
Mathematical result
orthogonal projection collapses some dimensions of the space it is applied to, which reduces the length of all vectors, as well as distance between vectors in
Johnson–Lindenstrauss_lemma
Concepts from linear algebra
algebra, an eigenvector (/ˈaɪɡən-/ EYE-gən-) or characteristic vector is a (nonzero) vector that has its direction unchanged (or reversed) by a given linear
Eigenvalues_and_eigenvectors
Four-dimensional analogue of the cube
projected cube of the tesseract. This projection is also the one with maximal volume. One set of projection vectors are u = (1,1,−1,−1), v = (−1,1,−1,1)
Tesseract
Operation selecting specific components or columns from a set, tuple, or relation
(linear algebra) – Idempotent linear transformation from a vector space to itself Projection (relational algebra) – Operation that restricts a relation
Projection_(set_theory)
Mapping equal to its square under mapping composition
{\displaystyle S} under a projection is called the projection of S {\displaystyle S} . An everyday example of a projection is the casting of shadows
Projection_(mathematics)
Tensor that rotates the reference frame to simplify analysis
{u}}_{D}} unit vectors (i.e., the angle between the two reference frames). The projection of the arbitrary vector onto each of the two new unit vectors implies
Direct-quadrature-zero transformation
Direct-quadrature-zero_transformation
Completion of the usual space with "points at infinity"
contained in a hyperplane. If V is an (n + 1)-dimensional vector space, and p is the canonical projection from V to P(V), then (p(e0), ..., p(en+1)) is a projective
Projective_space
Notation for quantum states
making projections onto the state ϕ , {\displaystyle {\boldsymbol {\phi }},} to find how linearly dependent two states are, etc. For the vector space C
Bra–ket_notation
Geometric transformation that preserves lines but not angles nor the origin
viewed as a vector space with origin c. Let σ be any affine transformation of X. Pick a point c in X and consider the translation of X by the vector w = c σ
Affine_transformation
Euclidean space without distance and angles
that these kinds of projections are fundamental in Euclidean geometry. More precisely, given an affine space E with associated vector space E → {\displaystyle
Affine_space
Formulas in differential geometry
defined as follows: T is the unit vector tangent to the curve, pointing in the direction of motion. N is the normal unit vector, the derivative of T with respect
Frenet–Serret_formulas
Complex vector bundle on a complex manifold
holomorphic vector bundle is a complex vector bundle over a complex manifold X such that the total space E is a complex manifold and the projection map π :
Holomorphic_vector_bundle
Graphics that use a three-dimensional representation of geometric data
3D computer graphics rely on many of the same algorithms as 2D computer vector graphics in the wire-frame model and 2D computer raster graphics in the
3D_computer_graphics
Methodological basis for 3D CAD/CAM solid modeling and image rendering
applied. The world-to-image plane projection is a 3D homogeneous coordinate system transformation, also known as 3D projection, affine transformation, or projective
Ray_casting
Representation of a three-dimensional rotation
rotation vector, whose coordinates are also known as modified Rodrigues parameters or Wiener–Milenkovic parameters, is a three-dimensional vector representing
Conformal_rotation_vector
Circulation density in a vector field
right angles to the tangential projection of F. Integrating this cross product over the whole surface results in a vector whose magnitude measures the overall
Curl_(mathematics)
Online vector quantization algorithm
TurboQuant is an online vector quantization algorithm for compressing high-dimensional Euclidean vectors while preserving their geometric structure. It
TurboQuant
Topics referred to by the same term
mathematics, the rejection of a vector a from a vector b is the component of a perpendicular to b, as opposed to its projection, which is parallel to b. In
Rejection
Subspace preserved by a linear mapping
mathematics, an invariant subspace of a linear mapping T : V → V i.e. from some vector space V to itself, is a subspace W of V that is preserved by T. More generally
Invariant_subspace
3D projection in which points in 3D space are linearly mapped onto a 2D plane
Planar projections are the subset of 3D graphical projections constructed by linearly mapping points in three-dimensional space to points on a two-dimensional
Planar_projection
{\displaystyle \|x-P_{K}(x)\|\leq \|x-y\|} for every y in K. The vector projection operator of a vector v in X at a point x in K is given by Π K ( x , v ) = lim
Projected_dynamical_system
Producing images of 3D scenes
Digistar planetarium projection system, which was a vector display that could render both stars and wire-frame graphics (the vector-based Digistar and Digistar
Rendering_(computer_graphics)
Model of n-dimensional hyperbolic geometry
thought of as map projections of S+: the Beltrami–Klein model is the projection of S+ through the origin onto a plane perpendicular to a vector from the origin
Hyperboloid_model
{\displaystyle [*,*]} is the Lie bracket of vector fields and Z V {\displaystyle Z^{V}} is the projection of the vector field Z {\displaystyle Z} to the vertical
Riemannian_submersion
Method of data analysis
space are a sequence of p {\displaystyle p} unit vectors, where the i {\displaystyle i} -th vector is the direction of a line that best fits the data
Principal_component_analysis
Mathematics concept
In mathematics, the vertical bundle and the horizontal bundle are vector bundles associated to a smooth fiber bundle. More precisely, given a smooth fiber
Vertical and horizontal bundles
Vertical_and_horizontal_bundles
Property shared by codirectional lines
In geometry, direction, also known as spatial direction, vector direction or relative direction, is the common characteristic of all rays which coincide
Direction_(geometry)
Element representing a value on a grid in three dimensional space
much more detailed and realistic terrain compared to simulations based on vector graphics at that time. 3D rendering of a μCT scan of a leaf piece, resolution
Voxel
Angular momentum in special and general relativity
with vector algebra). Introduce a unit vector in the direction of v, given by n = v/v. The parallel components are given by the vector projection of L
Relativistic_angular_momentum
Planar movement within a Euclidean space without rotation
direction. A translation can also be interpreted as the addition of a constant vector to every point, or as shifting the origin of the coordinate system. In a
Translation_(geometry)
Relativistic correction
formula Relativistic angular momentum Holonomy Explicitly, using vector projection and rejection relative to the direction of β gives Δ β ∥ = Δ β ⋅ β
Thomas_precession
Motion of a certain space that preserves at least one point
and a unit vector for the axis, or as a Euclidean vector obtained by multiplying the angle with this unit vector, called the rotation vector (although
Rotation_(mathematics)
Theorem in linear algebra
the Perron projection of a primitive matrix. If v and w are the positive row and column vectors that it generates then the Perron projection is just wv/vw
Perron–Frobenius_theorem
Generalized sphere of dimension n (mathematics)
{\displaystyle n} -sphere are called great circles. The stereographic projection maps the n {\displaystyle n} -sphere onto n {\displaystyle n} -space
N-sphere
Type of program in computer graphics
DirectCompute. This single program, multiple data programming paradigm maps well to vector processors: there is an assumption that each invocation of a kernel within
Shader
Signal processing computational method
is finding such a weight vector. One type of method for doing so is projection pursuit. Projection pursuit seeks one projection at a time such that the
Independent component analysis
Independent_component_analysis
Model for representing text documents
Vector space model (VSM) or term vector model is an algebraic model for representing text documents (or more generally, items) as vectors such that the
Vector_space_model
Mathematical function, in linear algebra
mapping) is a particular kind of function between vector spaces, which respects the basic operations of vector addition and scalar multiplication. A standard
Linear_map
Packets of geographic data in vector format
vector map tiles called "vector-tile-spec" which uses Google protocol buffers for space-efficient data serialisation. Web Mercator is the projection of
Vector_tiles
Classical quantization technique from signal processing
of vector quantization, the compressed data has errors that are inversely proportional to density. The transformation is usually done by projection or
Vector_quantization
Orthogonality Orthogonal complement Orthogonal projection Orthogonal group Pseudo-Euclidean space Null vector Indefinite orthogonal group Orientation (geometry)
Outline_of_linear_algebra
Arc crossing all meridians of longitude at the same angle
only when the chart is drawn on a suitable projection. Cartometric investigation has revealed that no projection was used in the early charts, for which
Rhumb_line
Projection of spin along the direction of momentum
helicity is the projection of the spin onto the direction of momentum. Mathematically, helicity is the sign of the projection of the spin vector onto the momentum
Helicity_(particle_physics)
Algorithm for modelling sequential data
numerical representations called tokens, and each token is converted into a vector via lookup from a word embedding table. At each layer, each token is then
Transformer_(deep_learning)
Graphics created using computers
small program that captured the movement of his finger and displayed its vector (his traced name) on a display scope. One of the first interactive video
Computer_graphics
VECTOR PROJECTION
VECTOR PROJECTION
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
Portuguese
Portuguese form of Latin Hector, HEITOR means "defend; hold fast."
Male
Portuguese
Galician-Portuguese form of Roman Latin Victor, VITOR means "conqueror."
Boy/Male
Christian & English(British/American/Australian)
Conqueror
Boy/Male
Christian & English(British/American/Australian)
Steadfast
Male
Scandinavian
 Scandinavian form of Roman Latin Victor, VIKTOR means "conqueror." Compare with another form of Viktor.
Male
English
Roman Latin name VICTOR means "conqueror."Â
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.
Male
Arthurian
, sir Hector de Maris; (defender).
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
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
Arthurian Legend
Father of Arthur.
Boy/Male
Australian, Basque, Czech, Czechoslovakian, Danish, Finnish, French, German, Hungarian, Latin, Polish, Slovenia, Swedish, Swiss, Ukrainian
The Conqueror; Victory; Victorious; Conquer
Boy/Male
Spanish American Shakespearean Greek Latin
Tenacious.
Male
English
 Anglicized form of Scottish Gaelic Eachann, HECTOR means "brown horse." Compare with another form of Hector.
Male
English
Short form of English Sylvester, VESTER means "from the forest."
Male
Greek
(á¼ÎºÏ„ωÏ) Variant spelling of Greek Hektor, EKTOR means "defend; hold fast."
Boy/Male
Spanish
Victor.
Boy/Male
Latin American Spanish
Conqueror.
Boy/Male
English American
Doctor; teacher.
VECTOR PROJECTION
VECTOR PROJECTION
Boy/Male
Tamil
To glow
Boy/Male
Gujarati, Indian
King of King
Boy/Male
Arabic, Muslim
Agreed; Accepted; Approved
Surname or Lastname
English
English : variant of Humphries.
Boy/Male
Arabic, Muslim
One who Conversed with Allah; An Epithet of Prophet Moses
Boy/Male
Muslim/Islamic
Reward favour
Boy/Male
Indian, Sanskrit
Breach of Duty; Irreligion
Boy/Male
Arabic, Muslim
Inevitability of the Truth (Allah)
Boy/Male
Hindu
The one with a blue throat
Boy/Male
Biblical Hebrew
The perfection of the Lord.
VECTOR PROJECTION
VECTOR PROJECTION
VECTOR PROJECTION
VECTOR PROJECTION
VECTOR PROJECTION
n.
A term made up of the two parts / + /1 /-1, where / and /1 are vectors.
v. t.
To tamper with and arrange for one's own purposes; to falsify; to adulterate; as, to doctor election returns; to doctor whisky.
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.
n.
The turning factor of a quaternion.
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.
n.
An African weaver bird (Textor alector).
n.
A woman who wins a victory; a female victor.
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.
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.
v. t.
To confer a doctorate upon; to make a doctor.
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.
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.
Same as Radius vector.
n.
The province of a rector; a parish church, parsonage, or spiritual living, with all its rights, tithes, and glebes.
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 belly, or protuberant part; a broad surface; as, the venter of a muscle; the venter, or anterior surface, of the scapula.
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.
a.
Pertaining to a rector or a rectory; rectoral.
n.
A contrivance for removing superfluous ink or coloring matter from a roller. See Doctor, 4.