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Mathematical function
In mathematical analysis, an integral linear operator is a linear operator T given by integration; i.e., ( T f ) ( x ) = ∫ f ( y ) K ( x , y ) d y {\displaystyle
Integral_linear_operator
Operator that involves integration
the integral symbol Integral linear operators, which are linear operators induced by bilinear forms involving integrals Integral transforms, which are
Integral_operator
Function acting on function spaces
built from them are called differential operators, integral operators or integro-differential operators. Operator is also used for denoting the symbol of
Operator_(mathematics)
Mathematical study of linear operators
mathematics, operator theory is the study of linear operators on function spaces, beginning with differential operators and integral operators. The operators may
Operator_theory
Mathematical function, in linear algebra
It also defines a linear operator on the space of all smooth functions (a linear operator is a linear endomorphism, that is, a linear map with the same
Linear_map
Integral expressing the amount of overlap of one function as it is shifted over another
g {\displaystyle f*g} , denoting the operator with the symbol ∗ {\displaystyle *} . It is defined as the integral of the product of the two functions after
Convolution
Mapping involving integration between function spaces
integral transforms vary widely, they have some properties in common. For example, every integral transform is a linear operator, since the integral is
Integral_transform
Type of continuous linear operator
mathematics, a compact operator is a linear operator that behaves, in several important respects, like a finite-dimensional operator such as a matrix. In
Compact_operator
Bounded linear operator
of functional analysis and operator theory, the Volterra operator, named after Vito Volterra, is a bounded linear operator on the space L2[0,1] of complex-valued
Volterra_operator
Operation in mathematical calculus
_{a}^{b}g} to express the linearity of the integral, a property shared by the Riemann integral and all generalizations thereof. Integrals appear in many practical
Integral
Process of calculating the causal factors that produced a set of observations
insights about an improved forward map. When operator F {\displaystyle F} is linear, the inverse problem is linear. Otherwise, that is most often, the inverse
Inverse_problem
Result about when a matrix can be diagonalized
In linear algebra and functional analysis, a spectral theorem is a result about when a linear operator or matrix can be diagonalized (that is, represented
Spectral_theorem
Topic in mathematics
Hilbert–Schmidt operator T : H → H is a compact operator. A bounded linear operator T : H → H is Hilbert–Schmidt if and only if the same is true of the operator | T
Hilbert–Schmidt_operator
Kind of linear transformation
In functional analysis and operator theory, a bounded linear operator is a special kind of linear transformation that is particularly important in infinite
Bounded_operator
Differential operator in mathematics
second-order differential operator, the Laplace operator maps Ck functions to Ck−2 functions for k ≥ 2. It is a linear operator Δ : Ck(Rn) → Ck−2(Rn), or
Laplace_operator
Physical system satisfying the superposition principle
In systems theory, a linear system is a mathematical model of a system based on the use of a linear operator. Linear systems typically exhibit features
Linear_system
Linear operator equal to its own adjoint
self-adjoint operator on a complex vector space V {\displaystyle V} with inner product ⟨ ⋅ , ⋅ ⟩ {\displaystyle \langle \cdot ,\cdot \rangle } is a linear map
Self-adjoint_operator
Operator equation in the style of Fredholm theory
the Adomian decomposition method, is due to George Adomian. A linear Volterra integral equation is a convolution equation if x ( t ) = f ( t ) + ∫ t 0
Volterra_integral_equation
Type of vector space in math
class of operators known as Hilbert–Schmidt operators that are important in the study of integral equations. Fredholm operators are bounded operators that
Hilbert_space
Differential equation that is linear with respect to the unknown function
means that the solutions may be expressed in terms of integrals. This is also true for a linear equation of order one, with non-constant coefficients
Linear_differential_equation
Type of differential operator
with understanding the theory of pseudo-differential operators. Consider a linear differential operator with constant coefficients, P ( D ) := ∑ α a α D α
Pseudo-differential_operator
Type o integral transform in mathematics
In mathematics, a Hilbert–Schmidt integral operator is a type of integral transform. Specifically, given a domain Ω in Rn, any k : Ω × Ω → C such that
Hilbert–Schmidt integral operator
Hilbert–Schmidt_integral_operator
Equations with an unknown function under an integral sign
I^{m}(u))=0} where I i ( u ) {\displaystyle I^{i}(u)} is an integral operator acting on u. Hence, integral equations may be viewed as the analog to differential
Integral_equation
Fredholm integral equation is an integral equation whose solution gives rise to Fredholm theory, the study of Fredholm kernels and Fredholm operators. The
Fredholm_integral_equation
Mathematical transform that expresses a function of time as a function of frequency
(continuous) linear combination in the form of an integral over the parameter ξ. But this integral was in the form of a Fourier integral. The next step
Fourier_transform
Mathematical method in functional analysis
closure of graphs Continuous linear operator – Function between topological vector spaces Densely defined operator – Linear operator on dense subset of its
Continuous_linear_extension
Type of distribution in mathematical analysis
represent approximate solution operators for many differential equations as oscillatory integrals. An oscillatory integral f ( x ) {\displaystyle f(x)}
Oscillatory_integral
Topics referred to by the same term
logic Operator (mathematics), mapping that acts on elements of a space to produce elements of another space, e.g.: Linear operator Differential operator Integral
Operator
Method of solution to differential equations
Green function) is the impulse response of an inhomogeneous linear differential operator defined on a domain with specified initial conditions or boundary
Green's_function
Mathematical model which is both linear and time-invariant
study, a linear time-invariant (LTI) system is a system that produces an output signal from any input signal subject to the constraints of linearity and time-invariance;
Linear_time-invariant_system
Generalization of the concept of a direct sum in mathematics
direct integrals of von Neumann algebras. The concept was introduced in 1949 by John von Neumann in one of the papers in the series On Rings of Operators. One
Direct_integral
Mathematical concept
In mathematics, singular integral operators of convolution type are the singular integral operators that arise on Rn and Tn through convolution by distributions;
Singular integral operators of convolution type
Singular_integral_operators_of_convolution_type
Generalized function whose value is zero everywhere except at zero
mathematics, semigroups arise as the output of a linear time-invariant system. Abstractly, if A is a linear operator acting on functions of x, then a convolution
Dirac_delta_function
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)
Concept in mathematics
theorem, also holds for closed operators. If T : B → B ′ {\displaystyle T\colon B\to B'} is a closed linear operator between Banach spaces B {\displaystyle
Bochner_integral
Part of Fredholm theories in integral equations
In mathematics, Fredholm operators are certain operators that arise in the Fredholm theory of integral equations. They are named in honour of Erik Ivar
Fredholm_operator
Linear map from a vector space to its field of scalars
integration: the linear transformation defined by the Riemann integral I ( f ) = ∫ a b f ( x ) d x {\displaystyle I(f)=\int _{a}^{b}f(x)\,dx} is a linear functional
Linear_form
Integral using products instead of sums
mathematician Vito Volterra in 1887 to solve systems of linear differential equations. The classical Riemann integral of a function f : [ a , b ] → R {\displaystyle
Product_integral
S-Y. Chang, D. Sarason (1978), "Products of Toeplitz operators", Integral Equations and Operator Theory, 1 (3): 285–309, doi:10.1007/BF01682841,
Toeplitz_operator
Boundary condition for generalized functions
1 {\textstyle C^{1}} -domain, the trace operator can be defined as continuous linear extension of the operator T : C ∞ ( Ω ¯ ) → L p ( ∂ Ω ) {\displaystyle
Trace_operator
Provides integral formulas for all derivatives of a holomorphic function
In mathematics, Cauchy's integral formula, named after Augustin-Louis Cauchy, is a central statement in complex analysis. It expresses the fact that a
Cauchy's_integral_formula
Properties of mathematical relationships
α, and is therefore linear. The concept of linearity can be extended to linear operators. Important examples of linear operators include the derivative
Linearity
Class of ordinary differential equations
mathematics and its applications, a Sturm–Liouville problem is a second-order linear ordinary differential equation of the form d d x [ p ( x ) d y d x ] + q
Sturm–Liouville_theory
Bessarabian-born Soviet and Israeli mathematician
mathematician, most known for his work in operator theory and functional analysis, in particular linear operators and integral equations. Gohberg was born in Tarutino
Israel_Gohberg
Class of operator mapping
nonlocal operator this is not possible. Differential operators are examples of local operators. A large class of (linear) nonlocal operators is given
Nonlocal_operator
Compact operator for which a finite trace can be defined
mathematics, specifically functional analysis, a trace-class operator is a linear operator for which a trace may be defined, such that the trace is a finite
Trace_class
In mathematics, singular integral operators on closed curves arise in problems in analysis, in particular complex analysis and harmonic analysis. The two
Singular integral operators on closed curves
Singular_integral_operators_on_closed_curves
Typically linear operator defined in terms of differentiation of functions
article considers mainly linear differential operators, which are the most common type. However, non-linear differential operators also exist, such as the
Differential_operator
Linear operator on dense subset of its apparent domain
function. In a topological sense, it is a linear operator that is defined "almost everywhere". Densely defined operators often arise in functional analysis as
Densely_defined_operator
Indefinite integral
and their combinations under composition and linear combination. Examples of these nonelementary integrals are the error function ∫ e − x 2 d x , {\displaystyle
Antiderivative
Hartley transform Hermite transform Hilbert transform Hilbert–Schmidt integral operator Jacobi transform Laguerre transform Laplace transform Inverse Laplace
List_of_transforms
Type of differential equation
surfaces. An integral transform may transform the PDE to a simpler one, in particular, a separable PDE. This corresponds to diagonalizing an operator. An important
Partial_differential_equation
Linear operator related to topological vector spaces
nuclear operators are an important class of linear operators introduced by Alexander Grothendieck in his doctoral dissertation. Nuclear operators are intimately
Nuclear_operator
One of Fredholm's theorems in mathematics
in several ways, as a theorem of linear algebra, a theorem of integral equations, or as a theorem on Fredholm operators. Part of the result states that
Fredholm_alternative
Functional analysis concept
the linear span of ( e 1 , … , e m ) {\displaystyle (e_{1},\dots ,e_{m})} . The sequence P m {\displaystyle P_{m}} converges to the identity operator I
Compact operator on Hilbert space
Compact_operator_on_Hilbert_space
Type of functional equation (mathematics)
express their solutions in terms of integrals. Many differential equations that are encountered in physics are linear, for example ODEs describing radioactive
Differential_equation
Mathematical inequality relating inner products and norms
norm of a linear operator on a Banach space (Namely, when the space is a Hilbert space). Further generalizations are in the context of operator theory,
Cauchy–Schwarz_inequality
Function acting on the space of physical states in physics
operator. Any observable, i.e., any quantity which can be measured in a physical experiment, should be associated with a self-adjoint linear operator
Operator_(physics)
operator (in this case, the Malliavin derivative is playing the role of the gradient operator). The operator δ is also known the Skorokhod integral,
Ornstein–Uhlenbeck_operator
Area of mathematics
unitary operators between function spaces. This point of view turned out to be particularly useful for the study of differential and integral equations
Functional_analysis
Integral of the Gaussian function, equal to sqrt(π)
The Gaussian integral, also known as the Euler–Poisson integral, is the integral of the Gaussian function f ( x ) = e − x 2 {\displaystyle f(x)=e^{-x^{2}}}
Gaussian_integral
Machine learning framework
neural operators act on and output functions, neural operators have been instead formulated as a sequence of alternating linear integral operators on function
Neural_operators
Integral transform
b) which is also integrable by Fubini's theorem. Thus Iα defines a linear operator on L1(a,b): I α : L 1 ( a , b ) → L 1 ( a , b ) . {\displaystyle I^{\alpha
Riemann–Liouville_integral
Formulation of quantum mechanics
easier to achieve than in the operator formalism of canonical quantization. Unlike previous methods, the path integral allows one to easily change coordinates
Path_integral_formulation
Technique in mathematics
projection operator onto the λ eigenspace of A. The Hille–Yosida theorem relates the resolvent through a Laplace transform to an integral over the one-parameter
Resolvent_formalism
Type of integral
In functional analysis, double operator integrals (DOI) are integrals of the form Q φ := ∫ N ∫ M φ ( x , y ) d E ( x ) T d F ( y ) , {\displaystyle \operatorname
Double_operator_integral
Discrete analog of a derivative
The inverse operator of the forward difference operator, so then the umbral integral, is the indefinite sum or antidifference operator. Analogous to
Finite_difference
Method for solving continuous operator problems (such as differential equations)
a continuous operator problem, such as a differential equation, commonly in a weak formulation, to a discrete problem by applying linear constraints determined
Galerkin_method
Fundamental principle of physics
Laplace transforms, and linear operator theory, that are applicable. Because physical systems are generally only approximately linear, the superposition principle
Superposition_principle
Type of operator in Fourier analysis
Fourier analysis, a multiplier operator is a type of linear operator, or transformation of functions. These operators act on a function by altering its
Multiplier_(Fourier_analysis)
Mathematical theorem about functions
equation is called the Fourier integral theorem. Another way to state the theorem is that if R {\displaystyle R} is the flip operator i.e. ( R f ) ( x ) :=
Fourier_inversion_theorem
Mathematical identity used to evaluate certain improper integrals
In mathematics, Dirichlet integrals play an important role in distribution theory. We can see the Dirichlet integral in terms of distributions. One of
Lobachevsky_integral_formula
Branch of mathematical analysis
calculus for such operators generalizing the classical one. In this context, the term powers refers to iterative application of a linear operator D {\displaystyle
Fractional_calculus
Branch of mathematics
differential calculus and integral calculus. Differential calculus studies instantaneous rates of change and slopes of curves; integral calculus studies accumulation
Calculus
Branch of functional analysis
functional analysis, a branch of mathematics, an operator algebra is an algebra of continuous linear operators on a topological vector space, with the multiplication
Operator_algebra
Vector operator in vector calculus
differentiation rules of calculus. Most importantly, the divergence is a linear operator, i.e., div ( a F + b G ) = a div F + b div G {\displaystyle \operatorname
Divergence
Regularization technique for ill-posed problems
^{\mathsf {T}}\Gamma .} Typically discrete linear ill-conditioned problems result from discretization of integral equations, and one can formulate a Tikhonov
Ridge_regression
Multivariate derivative (mathematics)
while the value of the derivative at a point is a cotangent vector – a linear functional on vectors. They are related in that the dot product of the gradient
Gradient
Method for solving partial differential equations
parameters so that the integral is well-defined. Precise analytic conditions on u and f depend on the particular application. The linear wave equation models
Duhamel's_principle
Definition of integral for regulated functions
extends uniquely to a bounded linear operator T : E → F with the same (finite) operator norm. The integral is a linear operator: for any regulated functions
Regulated_integral
Collection of mathematical theories
structure of operators in a variety of mathematical spaces. It is a result of studies of linear algebra and the solutions of systems of linear equations
Spectral_theory
Discrete (i.e., incremental) version of infinitesimal calculus
calculus and integral calculus. Differential calculus concerns incremental rates of change and the slopes of piece-wise linear curves. Integral calculus concerns
Discrete_calculus
Exponential representation for differential equations
representation of the product integral solution of a first-order homogeneous linear differential equation for a linear operator. In particular, it furnishes
Magnus_expansion
&{\mbox{otherwise}}.\end{matrix}}\right.} The Volterra operator is the corresponding integral operator T on the Hilbert space L2(0,1) given by T f ( x ) =
Nilpotent_operator
Equations describing classical electromagnetism
{\displaystyle \nabla \cdot } the divergence operator, and ∇ × {\displaystyle \nabla \times } the curl operator. In partial differential equation form and
Maxwell's_equations
Method for solving certain nonlinear partial differential equations
partial differential equation to solving 2 linear ordinary differential equations and an ordinary integral equation, a method ultimately leading to analytic
Inverse_scattering_transform
Integral transform
In Hamiltonian mechanics, the linear canonical transformation (LCT) is a family of integral transforms that generalizes many classical transforms. It
Linear canonical transformation
Linear_canonical_transformation
In linear algebra, operator monotone functions are an important type of real-valued function, fully classified by Charles Löwner in 1934. They are closely
Operator_monotone_function
Partial differential equations
a linear differential operator, the solution u ( x ) {\displaystyle u(\mathbf {x} )} to a general system of this type can be written as an integral over
Green's function for the three-variable Laplace equation
Green's_function_for_the_three-variable_Laplace_equation
counterpart of integral curves (flow lines) of vector fields. In contrast, a flow process is defined with respect to a second-order differential operator, and thus
Stochastic analysis on manifolds
Stochastic_analysis_on_manifolds
Algebraic structure in linear algebra
certain (linear) differential operator and the associated wavefunctions are called eigenstates. The spectral theorem decomposes a linear compact operator acting
Vector_space
Branch of functional analysis
the spectrum of T to the bounded operators. This article will discuss the case where T is a bounded linear operator on some Banach space. In particular
Holomorphic functional calculus
Holomorphic_functional_calculus
Mathematical form
\limits _{-\infty }^{\infty }|g(t)|\,\mathrm {d} t<\infty ,} then the integral ( f ∗ g ) ( t ) := ∫ − ∞ ∞ f ( τ ) ⋅ g ( t − τ ) d τ {\displaystyle (f*g)(t)\;:=\int
Product_(mathematics)
Methods of mathematical approximation
used as starting points include linear equations, including linear equations of motion (harmonic oscillator, linear wave equation), statistical or quantum-mechanical
Perturbation_theory
Japanese mathematician
Semi-Ordered Linear Spaces (1950) Topology of linear topological spaces (1951) Spectral theory in the Hilbert space (1953) Semi-ordered linear spaces (1955)
Hidegorō_Nakano
These include: Differential equations and Integral equations Complex analysis and Harmonic analysis Linear system and Control theory Mathematical physics
International Workshop on Operator Theory and its Applications
International_Workshop_on_Operator_Theory_and_its_Applications
Branch of mathematics
Linear algebra is the branch of mathematics concerning linear equations such as a 1 x 1 + ⋯ + a n x n = b , {\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}=b
Linear_algebra
Methods of calculating definite integrals
family of algorithms for calculating the numerical value of a definite integral. The term numerical quadrature (often abbreviated to quadrature) is more
Numerical_integration
Linear perturbations to solutions of nonlinear Einstein field equations
In the theory of general relativity, linearized gravity is the application of perturbation theory to the metric tensor that describes the geometry of spacetime
Linearized_gravity
Commutative ring with no zero divisors other than zero
mathematics, an integral domain is a nonzero commutative ring in which the product of any two nonzero elements is nonzero. In an integral domain, every
Integral_domain
INTEGRAL LINEAR-OPERATOR
INTEGRAL LINEAR-OPERATOR
Surname or Lastname
English
English : metronymic from Line.
Surname or Lastname
Swedish
Swedish : ornamental name from lind ‘lime tree’ + either the German suffix -er denoting an inhabitant, or the surname suffix -ér, derived from the Latin adjectival ending -er(i)us.English (mainly southeastern) : variant of Lind 2.German : habitational name from any of numerous places called Linden or Lindern, named with German Linden ‘lime trees’.
Male
Scandinavian
Scandinavian form of Old Norse Einarr, EINAR means "lone warrior."
Surname or Lastname
English
English : variant of Lanier 1.Dutch : variant of Leonard.Jewish (western Ashkenazic) : name taken by someone who was good at chanting the Pentateuch at public worship in the synagogue or who regularly did so, from West Yiddish layner ‘reader’ (a derivative of West Yiddish laynen ‘to read’, which comes ultimately from Latin legere ‘to read’).Jewish (Ashkenazic) : occupational name for a flax grower or merchant, from German Lein ‘flax’ + agent suffix -er.
Female
Scottish
Variant spelling of Scottish Lilias, LILEAS means "lily."
Female
English
Variant spelling of English Linsey, LINSAY means "Lincoln's wetlands."
Boy/Male
Hindu
Lingam
Surname or Lastname
English (Cornish)
English (Cornish) : habitational name from a place named with Cornish lan ‘church’. In England this surname is now found chiefly in the southern counties of Wiltshire and Hampshire, and Berkshire; it has no doubt moved there from Cornwall.
Boy/Male
Irish
Meaning “â€fair-haired,â€â€ the name has been popular since the sixth century when St. Finbar came to an area of Cork that was being tormented by a serpent. The people begged him to do something to help them. One night he went to where the serpent was sleeping and sprinkled it with holy water. The angry serpent tore and devoured the land until she slithered into the sea at Cork Harbor. The track she left behind filled with water and became the River Lee and that’s why St. Finbar is the patron saint of Cork. It is said that the sun didn’t set for two weeks after Finbar’s death.
Female
English
English name probably derived from Germanic lindi, LINDA means "serpent."Â In some cases, it may have been derived from the Spanish word for "pretty."
Boy/Male
Sikh
Love unending
Surname or Lastname
English (Devon; of Cornish origin)
English (Devon; of Cornish origin) : topographic name for someone who lived by a menhir, i.e. a tall standing stone erected in prehistoric times (Cornish men ‘stone’ + hir ‘long’).
Male
Greek
(ΑἰνÎας) Variant spelling of Greek AineÃas, AINEAS means "praiseworthy."
Male
English
Irish Anglicized form of Gaelic Fionnbarr, FINBAR means "fair-headed."
Girl/Female
Irish
Eimear possessed the “Six Gifts of Womanhood†– “beauty, a gentle voice, sweet words, wisdom, needlework and chastity!†She was bethrothed to the warrior Cuchulainn (read the legend) when they were children and they loved each other very deeply. But Cuchulainn had “a wandering eye†and Eimear endured this, realizing “everything new is fair,†but when he made love to Fand, wife of the sea god Manannan, Eimear confronted the lovers. After seeing the strength of Fand’s love she offered to withdraw. Touched by this display of unselfishness, Fand left Cuchulainn and returned to the sea. When Cuchulainn died Eimear spoke movingly and lovingly at his graveside.
Surname or Lastname
English
English : occupational name for a whitewasher, Middle English limer, lymer, an agent derivative of Old English līm ‘lime’.
Surname or Lastname
English
English : habitational name from Lingart, Lancashire, or Lingards Wood in Marsden, West Yorkshire, both named from Old English līn ‘flax’ + garðr ‘enclosure’.
Male
Yiddish
 Variant spelling of Yiddish Lieber, LIBER means "beloved." Compare with another form of Liber.
Surname or Lastname
English
English : variant of Lingard.French : occupational name for a maker of or dealer in linen goods, from Old French linge ‘linen (goods)’ (see Linge 1).
Boy/Male
Indian
Internal Cleanliness
INTEGRAL LINEAR-OPERATOR
INTEGRAL LINEAR-OPERATOR
Girl/Female
Hindi
Beautiful.
Boy/Male
Indian
Chief, Ruler, Traveler
Boy/Male
Tamil
Lord Krishna, Moon
Female
German
German form of Old Norse Gerðr, GERDE means "enclosure, stronghold."
Boy/Male
Tamil
Himanth Raj | ஹிமஂத ராஜ
Intelligent
Surname or Lastname
English
English : probably a habitational name from a lost or unidentified place.According to family lore, this name was brought to the southern States by a certain Isaac I. Kirksey in the second half of the 17th century. He is believed to have been born in about 1660, probably in one of the midland counties of England.
Female
Egyptian
, the mother of Sa-horset.
Surname or Lastname
English (Gloucestershire)
English (Gloucestershire) : unexplained.Americanized spelling of Schill.
Female
Irish
Variant form of Irish Gaelic CaitrÃn, CAITRIA means "pure."
Female
English
Spanish equivalent of English Alice, ALICIA means "noble sort."
INTEGRAL LINEAR-OPERATOR
INTEGRAL LINEAR-OPERATOR
INTEGRAL LINEAR-OPERATOR
INTEGRAL LINEAR-OPERATOR
INTEGRAL LINEAR-OPERATOR
a.
Making part of a whole; necessary to constitute an entire thing; integral.
a.
Derived from, or dependent on, the thing itself; inherent; as, the internal evidence of the divine origin of the Scriptures.
a.
Pertaining to, or proceeding by, integration; as, the integral calculus.
a.
Essential to completeness; constituent, as a part; pertaining to, or serving to form, an integer; integrant.
v. t.
To subject to the operation of integration; to find the integral of.
a.
Inward; interior; being within any limit or surface; inclosed; -- opposed to external; as, the internal parts of a body, or of the earth.
a.
Of, pertaining to, or included by, two lines; as, bilinear coordinates.
a.
Of a linear shape.
adv.
In an integral manner; wholly; completely; also, by integration.
n.
One who lines, as, a liner of shoes.
a.
Composed of lines; delineated; as, lineal designs.
a.
Of or pertaining to a line; consisting of lines; in a straight direction; lineal.
a.
Like a line; narrow; of the same breadth throughout, except at the extremities; as, a linear leaf.
a.
Linear.
n.
A space between things; a void space intervening between any two objects; as, an interval between two houses or hills.
a.
Descending in a direct line from an ancestor; hereditary; derived from ancestors; -- opposed to collateral; as, a lineal descent or a lineal descendant.
n.
One who adjusts things to a line or lines or brings them into line.
a.
In the direction of a line; of or pertaining to a line; measured on, or ascertained by, a line; linear; as, lineal magnitude.
a.
Pertaining to its own affairs or interests; especially, (said of a country) domestic, as opposed to foreign; as, internal trade; internal troubles or war.
adv.
In a linear manner; with lines.