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Matrix that commutes with its conjugate transpose
complex square matrix A is normal if it commutes with its conjugate transpose A*: A normal ⟺ A ∗ A = A A ∗ . {\displaystyle A{\text{ normal}}\iff A^{*}A=AA^{*}
Normal_matrix
Method for estimating the unknown parameters in a linear regression model
.} The matrix X T X {\displaystyle \mathbf {X} ^{\operatorname {T} }\mathbf {X} } is known as the normal matrix or Gram matrix and the matrix X T y {\displaystyle
Ordinary_least_squares
Form of a matrix indicating its eigenvalues and their algebraic multiplicities
_{n}{\color {red}\lrcorner }\\\end{array}}\right]} Example of a matrix in Jordan normal form. All matrix entries not shown are zero. The outlined squares are known
Jordan_normal_form
Generalization of the one-dimensional normal distribution to higher dimensions
X_{k})^{\mathrm {T} }} is called a centered normal random vector if there exists a k × ℓ {\displaystyle k\times \ell } matrix A {\displaystyle {\boldsymbol {A}}}
Multivariate normal distribution
Multivariate_normal_distribution
Matrix with the same number of rows and columns
mathematics, a square matrix is a matrix with the same number of rows and columns. An n-by-n matrix is known as a square matrix of order n {\displaystyle
Square_matrix
Matrix equal to its conjugate-transpose
In mathematics, a Hermitian matrix (or self-adjoint matrix) is a square matrix with complex-valued entries that is equal to its own conjugate transpose
Hermitian_matrix
Matrix decomposition
matrices can be factorized in this way. When the matrix being factorized is a normal or real symmetric matrix, the decomposition is called "spectral decomposition"
Eigendecomposition of a matrix
Eigendecomposition_of_a_matrix
Method for approximating eigenvalues
approximating numerically selected eigenvectors of the normal matrix A = M ∗ M {\displaystyle A=M^{*}M} . The matrix M = [ 1 0 0 0 0 2 0 0 0 0 3 0 0 0 0 4 0 0 0
Rayleigh–Ritz_method
Probability distribution
the matrix normal distribution or matrix Gaussian distribution is a probability distribution that is a generalization of the multivariate normal distribution
Matrix_normal_distribution
Real square matrix whose columns and rows are orthogonal unit vectors
(conjugate transpose) of Q, and therefore normal (Q∗Q = QQ∗) over the real numbers. The determinant of any orthogonal matrix is either +1 or −1. As a linear transformation
Orthogonal_matrix
Representation of a matrix as a product
algebra, a matrix decomposition or matrix factorization is a factorization of a matrix into a product of matrices. There are many different matrix decompositions;
Matrix_decomposition
Matrix normal form
In mathematics, the Smith normal form (sometimes abbreviated SNF) is a normal form that can be defined for any matrix (not necessarily square) with entries
Smith_normal_form
Complex matrix whose conjugate transpose equals its inverse
y⟩. U is normal ( U ∗ U = U U ∗ {\displaystyle U^{*}U=UU^{*}} ). U is diagonalizable; that is, U is unitarily similar to a diagonal matrix, as a consequence
Unitary_matrix
Matrix whose only nonzero elements are on its main diagonal
entries of a matrix. Anti-diagonal matrix Banded matrix Bidiagonal matrix Diagonally dominant matrix Diagonalizable matrix Jordan normal form Multiplication
Diagonal_matrix
Non-diagonalizable matrix; one lacking a basis of eigenvectors
real symmetric matrix and more generally a Hermitian matrix, and a unitary matrix, is never defective; more generally, a normal matrix (which includes
Defective_matrix
Numerical methods for matrix eigenvalue calculation
Any normal matrix is similar to a diagonal matrix, since its Jordan normal form is diagonal. Eigenvectors of distinct eigenvalues of a normal matrix are
Eigenvalue_algorithm
Matrices similar to diagonal matrices
linear algebra, a square matrix A {\displaystyle A} is called diagonalizable or non-defective if it is similar to a diagonal matrix. That is, if there exists
Diagonalizable_matrix
Matrix of inner products of vectors
Gram matrix (or Gramian matrix, Gramian) of vectors v 1 , … , v n {\displaystyle v_{1},\dots ,v_{n}} in an inner product space is the Hermitian matrix of
Gram_matrix
Matrix equal to its transpose
{T}}} for any matrix P {\displaystyle P} . A symmetric real matrix is necessarily a normal matrix. Denote by ⟨ ⋅ , ⋅ ⟩ {\displaystyle \langle \cdot ,\cdot
Symmetric_matrix
Most widely known generalized inverse of a matrix
the special case where A {\displaystyle A} is a normal matrix (for example, a Hermitian matrix), the pseudoinverse A + {\displaystyle A^{+}} annihilates
Moore–Penrose_inverse
Matrix representing a Euclidean rotation
rotation matrix is a transformation matrix that is used to perform a rotation in Euclidean space. For example, using the convention below, the matrix R = [
Rotation_matrix
(on a complex Hilbert space) continuous linear operator
self-adjoint). A normal matrix is the matrix expression of a normal operator on the Hilbert space C n {\displaystyle \mathbb {C} ^{n}} . Normal operators are
Normal_operator
Equivalence under a change of basis (linear algebra)
matrix A, one is interested in finding a simple "normal form" B which is similar to A—the study of A then reduces to the study of the simpler matrix B
Matrix_similarity
Representation of a game in game theory
player) and yields a representation of payoff as its output. The matrix provided is a normal-form representation of a game in which players move simultaneously
Normal-form_game
1999 film by the Wachowskis
slow motion while the camera appears to move through the scene at normal speed. The Matrix opened in theaters in the United States on March 31, 1999, to widespread
The_Matrix
Matrix with exactly one 1 per row and column
In mathematics, particularly in matrix theory, a permutation matrix is a square binary matrix that has exactly one entry of 1 in each row and each column
Permutation_matrix
Block diagonal matrix of Jordan blocks
the mathematical discipline of matrix theory, a Jordan matrix, named after Camille Jordan, is a block diagonal matrix over a ring R (whose identities
Jordan_matrix
Result about when a matrix can be diagonalized
the spectral theorem also holds for normal operators on a Hilbert space. We begin by considering a Hermitian matrix on C n {\displaystyle \mathbb {C} ^{n}}
Spectral_theorem
Square roots of the eigenvalues of the self-adjoint operator
The singular values are the absolute values of the eigenvalues of a normal matrix A {\displaystyle A} , because the spectral theorem can be applied
Singular_value
Canonical form of matrices over a field
In linear algebra, the Frobenius normal form or rational canonical form of a square matrix A with entries in a field F is a canonical form for matrices
Frobenius_normal_form
Topics referred to by the same term
functions Normal function, in set theory Normal invariants, in geometric topology Normal matrix, a matrix that commutes with its conjugate transpose Normal measure
Normal
Matrix decomposition
complex matrix into a rotation, followed by a scaling, followed by another rotation. It generalizes the eigendecomposition of a square normal matrix with
Singular_value_decomposition
Statistical distribution of complex random variables
normal. The complex normal family has three parameters: location parameter μ, covariance matrix Γ {\displaystyle \Gamma } , and the relation matrix C
Complex_normal_distribution
Line or vector perpendicular to a curve or a surface
transformation when transforming surface normals. The inverse transpose is equal to the original matrix if the matrix is orthonormal, that is, purely rotational
Normal_(geometry)
Array of numbers
In mathematics, a matrix (pl.: matrices) is a rectangular array of numbers or other mathematical objects with elements or entries arranged in rows and
Matrix_(mathematics)
Measure of covariance of components of a random vector
covariance matrix (also known as auto-covariance matrix, dispersion matrix, variance matrix, or variance–covariance matrix) is a square matrix giving the
Covariance_matrix
Topics referred to by the same term
Normal map may refer to: Normal mapping in 3D computer graphics Normal invariants in mathematical surgery theory Normal matrix in linear algebra Normal
Normal_map
Probability distribution
multivariate normal distribution and for matrices in the matrix normal distribution. The simplest case of a normal distribution is known as the standard normal distribution
Normal_distribution
Central object in linear algebra; mapping vectors to vectors
{I} } is the 3×3 identity matrix and N {\displaystyle \mathbf {N} } is the three-dimensional unit vector for the vector normal of the plane. If the L2 norm
Transformation_matrix
Multivariate parameter family of continuous probability distributions
prior of a multivariate normal distribution with an unknown mean and covariance matrix (the inverse of the precision matrix). Suppose μ | μ 0 , λ , Σ
Normal-inverse-Wishart distribution
Normal-inverse-Wishart_distribution
This is a list of characters from The Matrix franchise universe. Many of the characters listed here have names reflecting certain aspects of them, such
List of Matrix series characters
List_of_Matrix_series_characters
Method in linear algebra
In linear algebra, an orthogonal diagonalization of a normal matrix (e.g. a symmetric matrix) is a diagonalization by means of an orthogonal change of
Orthogonal_diagonalization
Matrix whose conjugate transpose is its negative (additive inverse)
{H}}\right)} Bivector (complex) Hermitian matrix Normal matrix Skew-symmetric matrix Unitary matrix Horn & Johnson (1985), §4.1.1; Meyer (2000), §3
Skew-Hermitian_matrix
Mathematical representation in functional analysis
development of spectral theory for normal operators, and generalizes the notion of diagonalizing a normal matrix. One of Gelfand's original applications
Gelfand_representation
Matrix of second derivatives
In mathematics, the Hessian matrix, Hessian or (less commonly) Hesse matrix is a square matrix of second-order partial derivatives of a scalar-valued function
Hessian_matrix
Matrix form in linear algebra
same up to transposition. A matrix A ∈ Z m × n {\displaystyle A\in \mathbb {Z} ^{m\times n}} has a (row) Hermite normal form H {\displaystyle H} if there
Hermite_normal_form
Square matrix containing the distances between elements in a set
complete graph is the adjacency matrix of G. The distance matrix of G can be computed from W as above; by contrast, if normal matrix multiplication is used, and
Distance_matrix
Structural support for biological cells
In biology, the extracellular matrix (ECM), also called the intercellular matrix, is a network consisting of extracellular macromolecules and minerals
Extracellular_matrix
Specialized notation for multivariable calculus
In mathematics, matrix calculus is a specialized notation for doing multivariable calculus, especially over spaces of matrices. It collects the various
Matrix_calculus
Topics referred to by the same term
Look up Matrix, matrix, matrixes, or matrices in Wiktionary, the free dictionary. Matrix (pl.: matrices or matrixes) or MATRIX may refer to: Matrix (mathematics)
Matrix
Propagation of error with varying topology
receiver's clock bias. Formulate the matrix, Q, as the covariance matrix resulting from the least-squares normal matrix: Q = ( A T A ) − 1 {\displaystyle
Dilution_of_precision
Matrix factorisation in mathematics
Schur, is a matrix decomposition. It allows one to write an arbitrary complex square matrix as unitarily similar to an upper triangular matrix whose diagonal
Schur_decomposition
Special kind of square matrix
In mathematics, a triangular matrix is a special kind of square matrix. A square matrix is called lower triangular if all the entries above the main diagonal
Triangular_matrix
Matrix operation which flips a matrix over its diagonal
that flips a matrix over its diagonal; that is, transposition switches the row and column indices of the matrix A to produce another matrix, called the
Transpose
Standard representation of a mathematical object
Jordan normal form is a canonical form for matrix similarity. The row echelon form is a canonical form, when one considers as equivalent a matrix and its
Canonical_form
Method for model fitting in statistics
this case the weight matrix should ideally be equal to the inverse of the variance-covariance matrix of the observations). The normal equations are then:
Weighted_least_squares
Notation for quantum states
and A (as in the previous section) is an N × N matrix. Then the bra ⟨φ|A can be computed by normal matrix multiplication. If the same state vector appears
Bra–ket_notation
For a square matrix, the transpose of the cofactor matrix
classical adjoint adj(A) of a square matrix A is the transpose of its cofactor matrix. It is occasionally known as adjunct matrix, or "adjoint", though that normally
Adjugate_matrix
Possible form of a matrix
In linear algebra, a matrix is in row echelon form if it can be obtained as the result of Gaussian elimination. Every matrix can be put in row echelon
Row_echelon_form
Mathematical problem
columns of R. A matrix R for which G = G′ is a normal matrix. Every known maximal-determinant matrix is equivalent to a normal matrix, but it is not known
Hadamard's maximal determinant problem
Hadamard's_maximal_determinant_problem
A matrix canonical form
linear algebra, a Weyr canonical form (or, Weyr form or Weyr matrix) is a square matrix which (in some sense) induces "nice" properties with matrices
Weyr_canonical_form
Square matrix without an inverse
A singular matrix is a square matrix that is not invertible, unlike non-singular matrices which are invertible. Equivalently, an n {\displaystyle n} -by-
Singular_matrix
e.g., forming the normal matrix and applying Cholesky decomposition, applying the QR factorization directly to the Jacobian matrix, iterative methods
Least-squares_adjustment
American-Canadian actress (born 1967)
television, she rose to international prominence for her role of Trinity in The Matrix series (1999–present). She has starred in Memento (2000), for which she
Carrie-Anne_Moss
Square matrix constructed from a monic polynomial
In linear algebra, the Frobenius companion matrix of the monic polynomial p ( x ) = c 0 + c 1 x + ⋯ + c n − 1 x n − 1 + x n {\displaystyle p(x)=c_{0}+c_{1}x+\cdots
Companion_matrix
Formalism of first-order logic
part, called the matrix. Together with the normal forms in propositional logic (e.g. disjunctive normal form or conjunctive normal form), it provides
Prenex_normal_form
Fictional character
of humans neurally connected to the Matrix, unaware that the world he lives in is a simulated reality. In his normal life, he is a quiet programmer for
Neo_(The_Matrix)
Topics referred to by the same term
biology Sum of squares and cross products matrix, another name for the normal matrix or Gram matrix in the matrix formulation of ordinary least squares Sethusamudram
SSCP
Concept in probability theory
instance of the multivariate normal distribution. Given n samples of m-dimensional data, represented as the m-by-n matrix, X = [ x 1 , x 2 , … , x n ]
Scatter_matrix
Swedish mathematician
"Planar orthogonal polynomials and boundary universality in the random normal matrix model". Acta Mathematica. 227 (2): 309–406. arXiv:1710.06493. doi:10
Hakan_Hedenmalm
mathematics, a moment matrix is a special symmetric square matrix whose rows and columns are indexed by monomials. The entries of the matrix depend on the product
Moment_matrix
matrices used in mathematics, science and engineering. A matrix (plural matrices, or less commonly matrixes) is a rectangular array of numbers called entries
List_of_named_matrices
Vector satisfying some of the criteria of an eigenvector
"almost diagonal matrix" J {\displaystyle J} in Jordan normal form, similar to A {\displaystyle A} , which is useful in computing certain matrix functions of
Generalized_eigenvector
Algorithm to multiply matrices
Because matrix multiplication is such a central operation in many numerical algorithms, much work has been invested in making matrix multiplication algorithms
Matrix multiplication algorithm
Matrix_multiplication_algorithm
Representation of mechanical stress at every point within a deformed 3D object
directions implies that the normal stresses are the principal stresses and the stress tensor is represented by a diagonal matrix: σ i j = [ σ 1 0 0 0 σ 2
Cauchy_stress_tensor
Fluid-filled space in organs
Hadley R, Roman J, White ES (2015). Comparative Biology of the Normal Lung Extracellular Matrix - Chapter 20. Elsevier. pp. 387–402. doi:10.1016/b978-0-12-404577-4
Interstitium
Pattern of oscillating motion in a system
A normal mode of a dynamical system is a pattern of motion in which all parts of the system move sinusoidally with the same frequency and with a fixed
Normal_mode
Generalization of gamma distribution to multiple dimensions
covariance-matrix of a multivariate-normal random vector. Suppose G is a p × n matrix, each column of which is independently drawn from a p-variate normal distribution
Wishart_distribution
In mathematics, invariant of square matrices
square matrix. The determinant of a matrix A is commonly denoted det(A), det A, or |A|. Its value characterizes some properties of the matrix and the
Determinant
Form of a matrix
linear algebra, a skew-symmetric (or antisymmetric or antimetric) matrix is a square matrix whose transpose equals its negative. That is, it satisfies the
Skew-symmetric_matrix
Excess connective tissue in healing
to fibrosis, where an accidental excessive accumulation of extracellular matrix components, such as collagen, is produced by fibroblasts, leading to the
Fibrosis
Multivariate probability distribution
conjugate prior of a multivariate normal distribution with unknown mean and precision matrix (the inverse of the covariance matrix). Suppose μ | μ 0 , λ , Λ ∼
Normal-Wishart_distribution
Antagonist in The Matrix (film series)
(later simply Smith) is a fictional character and the main antagonist of The Matrix franchise. The character was primarily portrayed by Hugo Weaving in the
Agent_Smith
Statistical relationship
one wants to find the "nearest" correlation matrix to an "approximate" correlation matrix (e.g., a matrix which typically lacks positive semi-definiteness
Correlation
theorem Normal vector Orthonormal basis Orthogonal complement Orthogonalization Parallelogram law Normal matrix, normal operator Orthogonal matrix Unitary
List of functional analysis topics
List_of_functional_analysis_topics
Complex matrix A* obtained from a matrix A by transposing it and conjugating each entry
{\displaystyle m\times n} complex matrix A {\displaystyle \mathbf {A} } is an n × m {\displaystyle n\times m} matrix obtained by transposing A {\displaystyle
Conjugate_transpose
linear algebra and ring theory, the Howell normal form is a generalization of the row echelon form of a matrix over Z N {\displaystyle \mathbb {Z} _{N}}
Howell_normal_form
Smallest convex set containing a given set
roots of the polynomial. In spectral analysis, the numerical range of a normal matrix is the convex hull of its eigenvalues. The Russo–Dye theorem describes
Convex_hull
Set of a matrix's eigenvalues
pseudo-determinant for a singular matrix to be the product of its nonzero eigenvalues (the density of multivariate normal distribution will need this quantity)
Spectrum_of_a_matrix
Least squares approximation of linear functions to data
Numerical methods for linear least squares include inverting the matrix of the normal equations and orthogonal decomposition methods. Consider the linear
Linear_least_squares
Fictional characters in the sci-fi franchise; antagonists
in the fictional universe of The Matrix franchise. They are guardians within the computer-generated world of the Matrix, protecting it from anyone or anything
Agent_(The_Matrix)
Integer matrices with +1 or −1 determinant; invertible over the integers. GL_n(Z)
reflection (determinant −1). The unimodular matrix used (possibly implicitly) in lattice reduction and in the Hermite normal form of matrices. The Kronecker product
Unimodular_matrix
Matrix with non-zero elements only in a diagonal band
In mathematics, particularly matrix theory, a band matrix or banded matrix is a sparse matrix whose non-zero entries are confined to a diagonal band, comprising
Band_matrix
Reciprocal of the statistical variance
statistics, the precision matrix or concentration matrix is the matrix inverse of the covariance matrix or dispersion matrix, P = Σ − 1 {\displaystyle
Precision_(statistics)
Statistical distance measure
the sample mean and covariance matrix tends to be more reliable with small and biased data sets. In general, given a normal (Gaussian) random variable X
Mahalanobis_distance
Statistical linear model
is a matrix containing errors (noise). The errors are usually assumed to be uncorrelated across measurements, and follow a multivariate normal distribution
General_linear_model
Polynomial whose roots are the eigenvalues of a matrix
algebra, the characteristic polynomial of a square matrix is a polynomial which is invariant under matrix similarity and has the eigenvalues as roots. It
Characteristic_polynomial
Concept in statistics
vectors to matrices. The matrix t-distribution shares the same relationship with the multivariate t-distribution that the matrix normal distribution shares
Matrix_t-distribution
Texture mapping technique
provides a normal and tangent. The tangent is part of the tangent plane and can be transformed simply with the linear part of the matrix (the upper 3x3)
Normal_mapping
Sum of elements on the main diagonal
In linear algebra, the trace of a square matrix A, denoted tr(A), is defined as a sum of the elements on its main diagonal, a 11 + a 22 + ⋯ + a n n {\displaystyle
Trace_(linear_algebra)
NORMAL MATRIX
NORMAL MATRIX
Boy/Male
Assamese, Bengali, Celebrity, Gujarati, Hindu, Indian, Jain, Kannada, Malayalam, Marathi, Punjabi, Sikh, Sindhi, Tamil, Telugu, Traditional
Kindness; Clean; Pure; Talent Person; The One who is Pure
Boy/Male
French Teutonic American English German
From the north.
Boy/Male
American, Australian, French, Scottish
From the Northern Town
Biblical
treasurer of Nergal
Male
English
English form of Norwegian Normund, NORMAND means "north protection."
Boy/Male
Scottish American
From the north valley.
Surname or Lastname
English, Irish (Ulster), Scottish, and Dutch
English, Irish (Ulster), Scottish, and Dutch : name applied either to a Scandinavian or to someone from Normandy in northern France. The Scandinavian adventurers of the Dark Ages called themselves norðmenn ‘men from the North’. Before 1066, Scandinavian settlers in England were already fairly readily absorbed, and Northman and Normann came to be used as bynames and later as personal names, even among the Saxon inhabitants. The term gained a new use from 1066 onwards, when England was settled by invaders from Normandy, who were likewise of Scandinavian origin but by now largely integrated with the native population and speaking a Romance language, retaining only their original Germanic name.French : regional name for someone from Normandy.Dutch : ethnic name for a Norwegian.Jewish (Ashkenazic) : variant of Nordman.Jewish : Americanized form of some like-sounding Ashkenazic name.Swedish : from norr ‘north’ + man ‘man’.Albert Andriessen Bradt, a settler in Rensselaerswijck on the upper Hudson River in NY, was originally from Norway and was known as de Norrman (‘the Norwegian’). The waterway south of Albany which powered his mills became known as the Normanskill (‘the Norman’s Waterway’), by which name it is still known today.
Male
English
English form of Teutonic Nordemann, NORMAN means "northman."
Boy/Male
Hindu
Clean, Pure
Female
Italian
 Italian name invented by Felice Romani in his libretto for Belini's opera of the same name, derived from Latin norma, NORMA means "standard, rule." Compare with another form of Norma.
Girl/Female
Indian, Punjabi, Sikh, Telugu
Pure; Without Any Impurity
Boy/Male
Afghan, Arabic
Handsome
Girl/Female
Latin American
Rule; pattern. Can also be a feminine form of Norman: from the North.
Boy/Male
Biblical
Treasurer of Nergal.
Boy/Male
Shakespearean
Hamlet, Prince of Denmark' Fortinbras, Prince of Norway.
Male
Scottish
Scottish form of Irish Gaelic Cormac, CORMAG means "son of defilement."
Female
English
 Feminine form of English Norman, NORMA means "northman." Compare with another form of Norma.
Girl/Female
Indian
Soft
Female
English
English name derived from the gem name, from Latin corallium, probably ultimately from Hebrew goral, CORAL means "small pebble."
Girl/Female
American, Australian, British, Chinese, Christian, Danish, English, Finnish, French, German, Latin, Swedish
From the North; Pattern; Courage; Norseman; Rule; Standard; Female Version of Norman
NORMAL MATRIX
NORMAL MATRIX
Boy/Male
Arabic, Muslim
Grace of the Truth (Allah)
Biblical
kings; tyrants
Boy/Male
Hindu
Girl/Female
English
meaning from Laurentium.
Girl/Female
Muslim/Islamic
Example Lesson
Boy/Male
Hindu
Richest, Lord Shiva
Boy/Male
Tamil
Expected
Boy/Male
Hindu, Indian, Marathi
Respect; Zeal
Surname or Lastname
English
English : occupational name for a physician’s servant, from Leach 1 + Middle English man ‘manservant’.
Boy/Male
Arabic, Muslim
Very Precious; Title of a King
NORMAL MATRIX
NORMAL MATRIX
NORMAL MATRIX
NORMAL MATRIX
NORMAL MATRIX
n.
See Mormal.
a.
Denoting certain hypothetical compounds, as acids from which the real acids are obtained by dehydration; thus, normal sulphuric acid and normal nitric acid are respectively S(OH)6, and N(OH)5.
a.
Sound; normal.
a.
Done in due form, or with solemnity; according to regular method; not incidental, sudden or irregular; express; as, he gave his formal consent.
a.
Human; belonging to man, who is mortal; as, mortal wit or knowledge; mortal power.
a.
Of or pertaining to Normandy or to the Normans; as, the Norman language; the Norman conquest.
adv.
In a normal manner.
n.
See Wormil.
a.
Alt. of Loral
a.
Serving to teach or convey a moral; as, a moral lesson; moral tales.
a.
Denoting that series of hydrocarbons in which no carbon atom is united with more than two other carbon atoms; as, normal pentane, hexane, etc. Cf. Iso-.
a.
Northern; pertaining to the north, or to the north wind; as, a boreal bird; a boreal blast.
a.
Both renal and portal. See Portal.
a.
Having the form or appearance without the substance or essence; external; as, formal duty; formal worship; formal courtesy, etc.
a.
According to a square or rule; perpendicular; forming a right angle. Specifically: Of or pertaining to a normal.
a.
According to an established norm, rule, or principle; conformed to a type, standard, or regular form; performing the proper functions; not abnormal; regular; natural; analogical.
n.
The quality, state, or fact of being normal; as, the point of normalcy.
a.
Pertaining to, or situated near, the back, or dorsum, of an animal or of one of its parts; notal; tergal; neural; as, the dorsal fin of a fish; the dorsal artery of the tongue; -- opposed to ventral.
n.
See Wormil.
a.
Not according to rule; abnormal.