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Vector operation
In linear algebra, the outer product of two coordinate vectors is the matrix whose entries are all products of an element in the first vector with an element
Outer_product
Vector space with generalized dot product
"inner product" is opposed to outer product (tensor product), which is a slightly more general opposite. Simply, in coordinates, the inner product is the
Inner_product_space
Notation for quantum states
operators on a Hilbert space H is given by the outer product: if ⟨ϕ| is a bra and |ψ⟩ is a ket, the outer product | ϕ ⟩ ⟨ ψ | {\displaystyle |\phi \rangle \
Bra–ket_notation
Mathematical form
meanings, while others have very different names (outer product, tensor product, Kronecker product) and yet convey essentially the same idea. A brief
Product_(mathematics)
Shorthand notation for tensor operations
the sum over a common index A i i {\displaystyle {A^{i}}_{i}} . The outer product of the column vector u i {\displaystyle u^{i}} by the row vector v j
Einstein_notation
Approach to artificial intellegence
Outer-product Based Fuzzy Neural Network". Neural Networks, 9(9), 1569-1581. Quek, C., & Zhou, R. W. (1999). "POPFNN-AAR(S): a pseudo outer-product based
Neuro-fuzzy
Mathematical operation on matrices
then the outer product between x {\displaystyle x} and y {\displaystyle y} is defined as x y T {\displaystyle xy^{T}} . The Kronecker product is related
Kronecker_product
Algebraic operation on coordinate vectors
multiplication Metric tensor Multiplication of vectors Outer product The term scalar product means literally "product with a scalar as a result". It is also used
Dot_product
Operation in group theory
normal subgroup. an outer semidirect product is a way to construct a new group from two given groups by using the Cartesian product as a set and a particular
Semidirect_product
Formula computing the inverse of the sum of a matrix and the outer product of two vectors
computed. That is, given an invertible matrix A {\displaystyle A} and the outer product u v T {\displaystyle uv^{\textsf {T}}} of vectors u {\displaystyle u}
Sherman–Morrison_formula
Mathematical operation in linear algebra
Kronecker product or tensor product, the generalization to any size of the preceding Khatri–Rao product and face-splitting product Outer product, also called
Matrix_multiplication
Mathematical operation on vector spaces
product satisfies (see below). If arranged into a rectangular array, the coordinate vector of x ⊗ y {\displaystyle x\otimes y} is the outer product of
Tensor_product
Mathematical operation on vectors in 3D space
In mathematics, the cross product or vector product (occasionally directed area product, to emphasize its geometric significance) is a binary operation
Cross_product
Theorem in planar dynamics
is the 3 × 3 identity matrix and ⊗ {\displaystyle \otimes } is the outer product. Further generalization of the parallel axis theorem gives the inertia
Parallel_axis_theorem
Mathematical identities
{\displaystyle \mathbf {A} } multiplied by its magnitude. Specifically, for the outer product of two vectors, ∇ ⋅ ( A B T ) = B ( ∇ ⋅ A ) + ( A ⋅ ∇ ) B . {\displaystyle
Vector_calculus_identities
Pictorial computational technique in quantum chemistry
denote the result as a closed circle labelled only by j, not m: The outer product of two states |j1, m1⟩ and |j2, m2⟩ is an operator: | j 2 , m 2 ⟩ ⟨
Angular momentum diagrams (quantum mechanics)
Angular_momentum_diagrams_(quantum_mechanics)
Scalar measure of the rotational inertia with respect to a fixed axis of rotation
{\displaystyle \mathbf {\hat {k}} \mathbf {\hat {k}} ^{\mathsf {T}}} is the outer product matrix formed from the unit vector k ^ {\displaystyle \mathbf {\hat
Moment_of_inertia
Mathematical set formed from two given sets
product) Direct product Empty product Finitary relation Join (SQL) § Cross join Orders on the Cartesian product of totally ordered sets Outer product
Cartesian_product
Branch of mathematics
linear equations, higher-dimensional spaces, determinants, inner and outer products, and dual spaces. It is a mathematical tool used in engineering, machine
Multilinear_algebra
Index of articles associated with the same name
where ( a ⊙ b ) i = a i b i {\displaystyle (a\odot b)_{i}=a_{i}b_{i}} . Outer product - where ( a ⊗ b ) {\displaystyle (\mathbf {a} \otimes \mathbf {b} )}
Vector_multiplication
Second order tensor in vector algebra
; also the conventional notation for the geometric product, which is different) the outer product of two column vectors a {\displaystyle \mathbf {a} }
Dyadics
Set of rules defining correctly structured programs
(signifying null) then the composite function is an outer product, otherwise it is an inner product. An inner product intended for conventional matrix multiplication
APL_syntax_and_symbols
2020 American teen drama television series created by Josh Patel
Outer Banks, also known by the abbreviation OBX, is an American action-adventure mystery teen drama television series created by Josh Pate, Jonas Pate
Outer_Banks_(TV_series)
Algebraic structure designed for geometry
is called the exterior product (frequently called the wedge product or the outer product). It is standard to denote these respectively by juxtaposition
Geometric_algebra
Punctuation to signal the end of a sentence (.)
of the program. In APL, it is also used for generalised inner product and outer product. In Erlang, Prolog and Smalltalk, it marks the end of a statement
Full_stop
Class of artificial neural network
activation vector h from this probability distribution. Compute the outer product of v and h and call this the positive gradient. From h, sample a reconstruction
Restricted_Boltzmann_machine
British mathematician and philosopher (1845–1879)
foundation for a geometric product, composed of the sum of the inner product and Grassmann's outer product. The geometric product was eventually formalized
William_Kingdon_Clifford
Vector differential operator
where u ⊗ v {\displaystyle \mathbf {u} \otimes \mathbf {v} } is the outer product tensor: ∇ ⋅ ( u ⊗ v ) = ( ∇ ⋅ u ) v + ( u ⋅ ∇ ) v {\displaystyle
Del
Measure of dependence between two variables
divergence, and P X ⊗ P Y {\displaystyle P_{X}\otimes P_{Y}} is the outer product distribution which assigns probability P X ( x ) ⋅ P Y ( y ) {\displaystyle
Mutual_information
In linear algebra
{T}}\mathbf {A} ^{-1}\mathbf {u} )\,\det(\mathbf {A} )\,.} Here, uvT is the outer product of two vectors u and v. The theorem can also be stated in terms of the
Matrix_determinant_lemma
Matrix decomposition method
_{i}^{*}\end{pmatrix}}.} Note that bi bi* is an outer product, therefore this algorithm is called the outer-product version in (Golub & Van Loan). This is repeated
Cholesky_decomposition
Sum of elements on the main diagonal
\mathbf {b} \in \mathbb {R} ^{n}} , the trace of the outer product is equivalent to the inner product: tr ( b a T ) = a T b {\displaystyle \operatorname
Trace_(linear_algebra)
Concept in probability theory
covariance matrix Wishart distribution Outer product— X X ⊤ {\displaystyle XX^{\top }} or X⊗X is the outer product of X with itself. Gram matrix Raghavan
Scatter_matrix
Mirror-like wave reflection
of the identity matrix I {\displaystyle \mathbf {I} } and twice the outer product of d ^ n {\displaystyle \mathbf {\hat {d}} _{\mathrm {n} }} . Reflectivity
Specular_reflection
Machine learning technique
network outputs the "fast" weights of another neural network through outer products. The slow network learns by gradient descent. It was later renamed as
Attention_(machine_learning)
64-bit extension of the ARM architecture
matrix transposition. Load/store/insert/extract tile vectors. Matrix outer product of SVE vectors. "Streaming mode" SVE. Enhanced support for PCIe hot
AArch64
Estimation method
}-m_{UT}\right)^{2}} where each squared term in the sum is a vector outer product. This gives: M U T = [ 2.00 0.0443 0.0443 0.0104 ] {\displaystyle
Unscented_transform
Functional programming language for arrays
first evaluates its left argument (fully in parentheses): Generate outer product of R multiplied by R, i.e., a matrix that is the multiplication table
APL_(programming_language)
Void between celestial bodies
Outer space, or simply space, is the expanse that exists beyond Earth's atmosphere and between celestial bodies. It contains ultra-low levels of particle
Outer_space
Integer side lengths of a right triangle
linear algebra that there is a column vector ξ = [m n]T such that the outer product holds, where the T denotes the matrix transpose. Since ξ and -ξ produce
Pythagorean_triple
Method of a dimension reduction
sketch C {\displaystyle C} of the outer product of vectors, where ⊗ {\displaystyle \otimes } denotes Kronecker product. The fast Fourier transform can be
Count_sketch
Use of coordinates for representing vectors
plane magnitude, inner and outer product come from Grassmann, while the words scalar, vector, scalar product, and vector product came from Hamilton. The
Vector_notation
Equation
and f contains all of the body forces per unit volume. u ⊗ u is the outer product of the velocity with itself. Here j and f have same number of dimensions
Cauchy_momentum_equation
Theory of relational databases
Three outer join operators are defined: left outer join, right outer join, and full outer join. (The word "outer" is sometimes omitted.) The left outer join
Relational_algebra
algorithm, but it replaces the observed negative Hessian matrix with the outer product of the gradient. This approximation is based on the information matrix
Berndt–Hall–Hall–Hausman algorithm
Berndt–Hall–Hall–Hausman_algorithm
treatment of tensors Component-free treatment of tensors Gamas's Theorem Outer product Tensor algebra Exterior algebra Symmetric algebra Clifford algebra Geometric
Outline_of_linear_algebra
Matrix consisting of a single row or column
product of a column and a row vector gives the outer product of two vectors a, b, an example of the more general tensor product. The matrix product of
Row_and_column_vectors
Type of geometric algebra
the algebra. The Flat Point Origin is written as an outer product because the geometric product is of mixed grade.( E = e + e − {\displaystyle E=e_{+}e_{-}}
Conformal_geometric_algebra
Matrix decomposition
that a matrix A {\displaystyle \mathbf {A} } can be written as an outer product of two vectors A = u ⊗ v , {\displaystyle \mathbf {A} =\mathbf {u}
Singular_value_decomposition
Fisher information matrix can be expressed in either of two ways: as the outer product of the gradient of the log-likelihood function, or as a function of
Information_matrix_test
Idempotent linear transformation from a vector space to itself
} is a unit vector on the line, then the projection is given by the outer product P u = u u T . {\displaystyle P_{\mathbf {u} }=\mathbf {u} \mathbf {u}
Projection_(linear_algebra)
Scientific law regarding conservation of a physical property
\end{pmatrix}};\end{aligned}}} where ⊗ {\displaystyle \otimes } denotes the outer product. Conservation equations can usually also be expressed in integral form:
Conservation_law
Effect of variables' uncertainties on the uncertainty of a function based on them
&\ddots \end{pmatrix}}.\end{aligned}}} ⊗ {\displaystyle \otimes } is the outer product. Then, the variance–covariance matrix Σ f {\displaystyle {\boldsymbol
Propagation_of_uncertainty
Rational function of the form (az + b)/(cz + d)
null, the matrix X has zero determinant, and therefore splits as the outer product of a complex two-vector ξ with its complex conjugate: The two-component
Möbius_transformation
SQL clause
matching fields. There are several variants of JOIN: INNER, LEFT OUTER, RIGHT OUTER, FULL OUTER, CROSS, and others. To explain join types, the rest of this
Join_(SQL)
leads to the inability to use outermorphisms to rotate dual Geometric Outer Product Null Space (GOPNS) entities. To rotate a QGA point, it must be projected
Quadric_geometric_algebra
Optimization algorithm
multiplied with the elements of a vector {Gj,j} which is the diagonal of the outer product matrix G = ∑ τ = 1 t g τ g τ T {\displaystyle G=\sum _{\tau =1}^{t}g_{\tau
Stochastic_gradient_descent
Relationship between elements of two sets
satisfies two properties: The logical matrix of C {\displaystyle C} is the outer product of logical vectors C i j = u i v j , u , v {\displaystyle C_{ij}=u_{i}v_{j}
Binary_relation
eigenvectors of the sum of a symmetric matrix A {\displaystyle A} and the outer product, v v T {\displaystyle vv^{T}} , of vector v {\displaystyle v} with itself
Bunch–Nielsen–Sorensen formula
Bunch–Nielsen–Sorensen_formula
Lubricating oil and water displacement spray
to create the product. The spray, composed of various hydrocarbons, was originally designed to be used by Convair to protect the outer skin of the Atlas
WD-40
Aspect of mathematical group theory
are accounted for. The outer automorphism does not preserve cycle structure in general, mapping some single cycles to the product of two or three cycles
Automorphisms of the symmetric and alternating groups
Automorphisms_of_the_symmetric_and_alternating_groups
1957 US film by Ed Wood
Plan 9 from Outer Space is a 1957 American independent science fiction-horror film produced, written, directed, and edited by Ed Wood. The film was shot
Plan_9_from_Outer_Space
Tensor related to gradients
be written as the matrix product ( ∇ I ) ( ∇ I ) T {\displaystyle (\nabla I)(\nabla I)^{\text{T}}} or tensor or outer product ∇ I ⊗ ∇ I {\displaystyle
Structure_tensor
Theorem related to ordinary least squares
condition number or the variance inflation factor, among other tests. The outer product of the error vector must be spherical. E [ ε ε T ∣ X ] = Var [ ε
Gauss–Markov_theorem
Plane of existence in Dungeons & Dragons
In the fantasy role-playing game Dungeons & Dragons, an Outer Plane is one of a number of general types of planes of existence. They can also be referred
Outer_Plane
Projection of a 3D object onto a plane via parallel rays
{\displaystyle I_{3}} is the identity matrix and ⊗ {\displaystyle \otimes } the outer product.) From this analytic representation of a parallel projection one can
Parallel_projection
Type of matrix factorization
{\displaystyle u} , l u T {\displaystyle {\bf {lu}}^{\textsf {T}}} is an outer product of vectors l , u {\displaystyle {\bf {l,u}}} , i.e. a matrix which first
LU_decomposition
Algebraic object with geometric applications
modern formalism and notation for tensor indices: indicating inner and outer products, covariance and contravariance, summations of tensor components, symmetry
Tensor
Statistic measuring inter-rater agreement for categorical items
In other words, the matrix E ~ {\displaystyle {\tilde {E}}} is the outer product of vectors ( p i , ⋅ ^ ) i = 1 … C {\displaystyle ({\widehat {p_{i,\cdot
Cohen's_kappa
Coordinate-free definition of a tensor
of the matrix. A matrix thus has rank one if it can be written as an outer product of two nonzero vectors: A = v w T . {\displaystyle A=vw^{\mathrm {T}
Tensor_(intrinsic_definition)
Concept in fluid mechanics
transport equation for the Reynolds stress may be found by taking the outer product of the fluid equations for the fluctuating velocity, with itself. One
Reynolds_stress
Method of data analysis
function evaluating the product XT(X r) = ((X r)TX)T. The matrix deflation by subtraction is performed by subtracting the outer product, t1r1T from X leaving
Principal_component_analysis
Matrix of binary truth values
{\displaystyle (Q_{j}),\,j=1,2,\ldots ,n} are two logical vectors. The outer product of P and Q results in an m × n rectangular relation m i j = P i ∧ Q
Logical_matrix
Statistical technique
combined in an outer product resulting in a matrix of the same dimensions as P {\displaystyle P} . In words the formula reads: matrix outer ( w m , w n
Correspondence_analysis
the tensor. A rank-one tensor may be defined as expressible as the outer product of the number of nonzero vectors needed to obtain the correct order
Glossary_of_tensor_theory
Geometric object that has length and direction
} The cross product (also called the vector product or outer product) is only meaningful in three or seven dimensions. The cross product differs from
Euclidean_vector
Correspondence between quaternions and 3D rotations
\right),\end{aligned}}} where ⊗ {\displaystyle \otimes } denotes the outer product, I {\displaystyle \mathbf {I} } is the identity matrix and [ v ] × {\displaystyle
Quaternions and spatial rotation
Quaternions_and_spatial_rotation
Method of estimating the parameters of a statistical model, given observations
Berndt–Hall–Hall–Hausman algorithm approximates the Hessian with the outer product of the expected gradient, such that d r ( θ ^ ) = − [ 1 n ∑ t = 1 n
Maximum_likelihood_estimation
Concept in linear algebra
constructed from this transformation can be expressed in terms of an outer product as: P = I − 2 v → v → ∗ {\displaystyle P=I-2{\vec {v}}{\vec {v}}^{*}}
Householder_transformation
Approach I One of the methods of deriving the 2-D window is from the outer product of two 1-D windows, i.e., w ( n 1 , n 2 ) = w 1 ( n 1 ) w 2 ( n 2 )
Two-dimensional_window_design
Planetary system consisting of the Sun and objects orbiting it
frost line at about five astronomical units (AU), are the planets of the outer Solar System: two gas giants (Jupiter and Saturn) and two ice giants (Uranus
Solar_System
languages, and a generalization of scalar extension, inner (matrix) product, and outer product in APL\360. The canonical implementation of rank may be the language
Rank_(J_programming_language)
Substances applied to the body to change appearance or fragrance
cosmetic product. It is in direct contact with the cosmetic product. Secondary packaging is the outer wrapping of one or several cosmetic container(s). An important
Cosmetics
Formulations of electromagnetism
with the inner product and the (k + 1)-vector component with the outer product. It is of algebraic convenience that the geometric product is invertible
Mathematical descriptions of the electromagnetic field
Mathematical_descriptions_of_the_electromagnetic_field
Software library for linear algebra
A\mathbf {x} +\beta \mathbf {y} \!} GER—general rank 1 update from an outer product: A ← α x y T + A {\displaystyle A\leftarrow \alpha \mathbf {x} \mathbf
Automatically Tuned Linear Algebra Software
Automatically_Tuned_Linear_Algebra_Software
American anthology television series (1963–1965)
The Outer Limits is an American television series that was broadcast on ABC from September 16, 1963, to January 16, 1965, at 7:30 PM Eastern Time on Mondays
The Outer Limits (1963 TV series)
The_Outer_Limits_(1963_TV_series)
Type of animal organ
are all endocrine glands. Exocrine glands secrete their products through a duct onto an outer or inner surface of the body, such as the skin or the gastrointestinal
Gland
Infinitesimal calculus on functions defined on a geometric algebra
infinitesimally small as we wish as long as they remain nonzero. Since the outer product of these terms can be interpreted as a k {\displaystyle k} -volume,
Geometric_calculus
Italian cheese
The dish was born out of a need to minimise food waste in the 1920s. The outer casing is solid cheese, while the inside contains stracciatella and clotted
Burrata
Double cover Lie group of the special orthogonal group
{so}}(n)} . On the right hand side ⊗ {\displaystyle \otimes } is the outer product. The multiplication by 2 explains why rotating a spinor by 360 degrees
Spin_group
Mathematical function of two variables; outputs 1 if they are equal, 0 otherwise
K\to V^{*}\otimes V} , representing scalar multiplication as a sum of outer products. The generalized Kronecker delta or multi-index Kronecker delta of order
Kronecker_delta
German polymath, linguist and mathematician (1809–1877)
defined the exterior product, also called "combinatorial product" (in German: kombinatorisches Produkt or äußeres Produkt “outer product”), the key operation
Hermann_Grassmann
Reasoning about equations with free variables
of a staircase. Riguet generated rectangular relations by taking the outer product of logical vectors; these contribute to the non-enlargeable rectangles
Algebraic_logic
Quantum explanation of electromagnetic polarization
{\displaystyle |L\rangle } state. The spin operator is defined as the outer product S ^ = d e f | R ⟩ ⟨ R | − | L ⟩ ⟨ L | = ( 0 − i i 0 ) . {\displaystyle
Photon_polarization
American mathematician
Peter G.; Pinkham, Eric; Tuomanen, Brian (September 2016). "Riesz outer product Hilbert space frames: Quantitative bounds, topological properties, and
Peter_G._Casazza
German computer scientist (born 1963)
descent to control the fast weights of another neural network through outer products of self-generated activation patterns, and the fast weights network
Jürgen_Schmidhuber
Legume grown for its edible bean
protein for animal feeds and many packaged meals. For example, soybean products, such as textured vegetable protein (TVP), are ingredients in many meat
Soybean
Administrative divisions of New York City
to place all five boroughs on equal footing. In the same vein, the term outer boroughs refers to all of the boroughs excluding Manhattan, even though
Boroughs_of_New_York_City
Brand that engages firms to eliminate HIV/AIDS in Africa
Product Red is a licensed brand by the company Red that seeks to engage the private sector in raising awareness and funds to help eliminate HIV/AIDS in
Product_Red
Sum of directed areas in exterior algebra
ISBN 978-0-521-00551-7. Chris Doran & Anthony Lasenby (2003). "§ 1.6 The outer product". Geometric Algebra for Physicists. Cambridge: Cambridge University
Bivector
OUTER PRODUCT
OUTER PRODUCT
Boy/Male
Teutonic
Strong fighter.
Boy/Male
Australian, British, English
Bailiff; Sherriff's Officer; From the Outer Castle Wall Meadow
Surname or Lastname
English and Dutch
English and Dutch : occupational name from Middle English suter, souter, Middle Dutch sutter ‘shoemaker’ (Latin sutor).German : variant of Sauter.
Boy/Male
Australian, British, English
Bailiff; Sherriff's Officer; From the Outer Castle Wall Meadow
Girl/Female
British, English
Bailiff; Steward; From the Outer Castle Wall Meadow
Female
Egyptian
, the daughter of Hor-mi-nuter.
Male
Egyptian
, an Egyptian gentleman.
Girl/Female
Norse
Sister of Otter.
Boy/Male
Australian, Dutch, German, Netherlands, Teutonic
Strong Fighter; Ruler of the Army
Female
Egyptian
, the wife of Fai-hor-ouser.
Boy/Male
British, English
Bailiff; Sherriff's Officer; From the Outer Castle Wall Meadow
Boy/Male
British, English
Bailiff; Sherriff's Officer; From the Outer Castle Wall Meadow
Boy/Male
American, British, English, German, Greek
Otter; Song; Rich
Surname or Lastname
English
English : occupational name for a player on the lute, Middle English lutar, an agent derivative of lute.English : metonymic occupational name for an otter hunter, from Old French loutre ‘otter’.Dutch : variant of Luther 1.
Surname or Lastname
English, German, Dutch, and Jewish (Ashkenazic)
English, German, Dutch, and Jewish (Ashkenazic) : metonymic occupational name for an otter hunter, or nickname for someone supposedly resembling an otter, from Middle English, Middle High German oter, Middle Dutch otter, German Otter ‘otter’. The Jewish surname can be ornamental.English : from the late Old English personal name Ohthere, a borrowing of Old Norse Óttar, composed of the elements ótti ‘fear’, ‘dread’ + herr ‘army’. In Scotland the Old Norse name is the source.French : from a Germanic personal name composed of the elements aud, od ‘wealth’ + hari, heri ‘army’.
Girl/Female
Norse
Sister of Otter.
Boy/Male
Hindu, Indian, Malayalam
Outer; Body; Physical; Ambition; Power; Progress; Career; Success
Surname or Lastname
English
English : nickname for a spokesman, from Middle English mutere, motere ‘one who speaks at public meetings’, Old English mÅtere, an agent derivative of (ge)mÅt ‘gathering’, ‘meeting’. See also Musto.
Boy/Male
Hindu, Indian
Space; Outer Space; Sky
Male
Dutch
, powerful warrior.
OUTER PRODUCT
OUTER PRODUCT
Girl/Female
Indian
Might, Power
Girl/Female
Muslim
Beautiful, Radiant
Boy/Male
Hindu, Indian
Sun
Boy/Male
Tamil
Jeyaraman | ஜேயாராமந
Boy/Male
Tamil
The Moon
Boy/Male
Tamil
Darkness
Girl/Female
Spanish English
Derived from the Roman given name Levinia.
Boy/Male
Tamil
King
Female
Egyptian
, a daughter of King Amenrut.
Boy/Male
American, British, English
Fair Town; Abbreviation of Trevelyan
OUTER PRODUCT
OUTER PRODUCT
OUTER PRODUCT
OUTER PRODUCT
OUTER PRODUCT
a.
Further; outer; utter.
n.
Any free, outer membrane.
n.
An outer porch or vestibule.
n.
An outer or external angle.
n.
An outer wall.
n.
Any carnivorous animal of the genus Lutra, and related genera. Several species are described. They have large, flattish heads, short ears, and webbed toes. They are aquatic, and feed on fish. Their fur is soft and valuable. The common otter of Europe is Lutra vulgaris; the American otter is L. Canadensis; other species inhabit South America and Asia.
n.
A shot which strikes the outer of a target.
n.
An outer garment, or slop.
n.
An outer room.
a.
Being on the outside; external; farthest or farther from the interior, from a given station, or from any space or position regarded as a center or starting place; -- opposed to inner; as, the outer wall; the outer court or gate; the outer stump in cricket; the outer world.
n.
Any outer covering; array; garb.
n.
The outer layer of bark.
n.
The part of a target which is beyond the circles surrounding the bull's-eye.
v.
One who puts out, ousts, or expels; also, an ouster; dispossession.
a.
Outer.
n.
An outer coat; an overcoat.
n.
An outer vestment or garment.
n.
An outer garment.
n.
An outer or exterior court.