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Type of incidence structure
A partial linear space (also semilinear or near-linear space) is a basic incidence structure in the field of incidence geometry, that carries slightly
Partial_linear_space
Field of mathematics which studies incidence structures
partial linear space implies that k > 1. Neither regularity condition implies the other, so it has to be assumed that r > 1. A finite partial linear space
Incidence_geometry
Function over linear operators
let L ( A ) {\displaystyle L(A)} denote the space of linear operators on A {\displaystyle A} . The partial trace over W {\displaystyle W} is then written
Partial_trace
Type of incidence structure
A linear space is a basic structure in incidence geometry. A linear space consists of a set of elements called points, and a set of elements called lines
Linear_space_(geometry)
Type of differential equation
mathematics, a partial differential equation (PDE) is an equation which involves a multivariable function and one or more of its partial derivatives. The
Partial_differential_equation
Partial differential equation with nonlinear terms
be studied as a separate problem. The distinction between a linear and a nonlinear partial differential equation is usually made in terms of the properties
Nonlinear partial differential equation
Nonlinear_partial_differential_equation
Geometric model of the physical space
single linear equation, so planes in this 3-space are described by linear equations. A line can be described by a pair of independent linear equations—each
Three-dimensional_space
Type of vector space in math
Hilbert spaces form a basic tool in the study of partial differential equations. For many classes of partial differential equations, such as linear elliptic
Hilbert_space
Concept in geometry
using only the relationship between points and lines: a polar space is a partial linear space (P,L), so that for each point p ∈ P and each line l ∈ L, the
Polar_space
Algebraic structure in linear algebra
In mathematics, a vector space (also called a linear space) is a set whose elements, often called vectors, can be added together and multiplied ("scaled")
Vector_space
Mathematical ordering of a partial order
branch of mathematics, a linear extension of a partial order is a total order (or linear order) that is compatible with the partial order. As a classic example
Linear_extension
Finding linear approximation of function at given point
mathematics, linearization (British English: linearisation) is finding the linear approximation to a function at a given point. The linear approximation
Linearization
Statistical method
variables, it finds a linear regression model by projecting the predicted variables and the observable variables to a new space of maximum covariance
Partial least squares regression
Partial_least_squares_regression
Type of incidence structure
those partial geometries p g ( s , t , α ) {\displaystyle \mathrm {pg} (s,t,\alpha )} with α = s + 1 {\displaystyle \alpha =s+1} . A partial linear space
Partial_geometry
Partial differential equations with random force terms and coefficients
famous linear equations, such as the wave equation and the Schrödinger equation. One difficulty is their lack of regularity. In one dimensional space, solutions
Stochastic partial differential equation
Stochastic_partial_differential_equation
Mathematical set with an ordering
order theory, a partial order on a set is an arrangement such that, for certain pairs of elements, one precedes the other. The word partial is used to indicate
Partially_ordered_set
Set of functions between two fixed sets
vector spaces over F, the set of linear maps X → V form a vector space over F with pointwise operations (often denoted Hom(X,V)). One such space is the
Function_space
Order whose elements are all comparable
In mathematics, a total order or linear order is a partial order in which any two elements are comparable. That is, a total order is a binary relation
Total_order
Assignment of vector fields to manifolds
_{i=1}^{n}v^{i}\left.{\frac {\partial }{\partial x^{i}}}\right|_{p}.} This formula therefore expresses v {\displaystyle v} as a linear combination of the basis
Tangent_space
Sum of elements on the main diagonal
a consequence, one can define the trace of a linear operator mapping a finite-dimensional vector space into itself, since all matrices describing such
Trace_(linear_algebra)
Typically linear operator defined in terms of differentiation of functions
integer m, an order- m {\displaystyle m} linear differential operator is a map P {\displaystyle P} from a function space F 1 {\displaystyle {\mathcal {F}}_{1}}
Differential_operator
Differential equation that is linear with respect to the unknown function
is an ordinary differential equation (ODE). A linear differential equation may also be a linear partial differential equation (PDE), if the unknown function
Linear_differential_equation
Branch of mathematics
representations in vector spaces and through matrices. Linear algebra is central to almost all areas of mathematics. For instance, linear algebra is fundamental
Linear_algebra
In mathematics, vector subspace
specifically in linear algebra, a linear subspace or vector subspace is a vector space that is a subset of some larger vector space. A linear subspace is
Linear_subspace
Class of partial differential equations
In mathematics, an elliptic partial differential equation is a type of partial differential equation (PDE). In mathematical modeling, elliptic PDEs are
Elliptic partial differential equation
Elliptic_partial_differential_equation
Objects that generalize functions
functions as linear functionals acting on a space of test functions. Standard functions act by integration against a test function, but many other linear functionals
Distribution (mathematical analysis)
Distribution_(mathematical_analysis)
Linear operator whose graph is closed
operator. The closed graph theorem says a linear operator f : X → Y {\displaystyle f:X\to Y} between Banach spaces is a closed operator if and only if it
Closed_linear_operator
Vector space of functions in mathematics
some important partial differential equations exist in appropriate Sobolev spaces, even when there are no strong solutions in spaces of continuous functions
Sobolev_space
Multivariate derivative (mathematics)
n-dimensional space as the vector ∇ f ( p ) = [ ∂ f ∂ x 1 ( p ) ⋮ ∂ f ∂ x n ( p ) ] {\displaystyle \nabla f(p)={\begin{bmatrix}{\frac {\partial f}{\partial x_{1}}}(p)\\\vdots
Gradient
Type of derivative in mathematics
derivative of f {\displaystyle f} is the linear transformation corresponding to the Jacobian matrix of partial derivatives at the point. In some advanced
Derivative (multivariable calculus)
Derivative_(multivariable_calculus)
Differential equation important in physics
The wave equation is a second-order linear partial differential equation for the description of waves or standing wave fields such as mechanical waves
Wave_equation
On existence of a strongly regular graph
pp. 237–238. Brouwer, A. E.; Neumaier, A. (1988), "A remark on partial linear spaces of girth 5 with an application to strongly regular graphs", Combinatorica
Conway's_99-graph_problem
Vector field on a pseudo-Riemannian manifold that preserves the metric tensor
is Y = z ∂ x − x ∂ z {\displaystyle Y=z\partial _{x}-x\partial _{z}} The algebra given by linear combinations of these three generators closes, and obeys
Killing_vector_field
Type of mathematical space
vector space V over a field F, which is a flag variety for the special linear group over F. Other flag varieties arise by considering partial flags, or
Generalized_flag_variety
Generalised concept of incidence structure of polygons
I\subseteq P\times L} is the incidence relation, such that: It is a partial linear space. It has no ordinary m-gons as subgeometry for 2 ≤ m < n {\displaystyle
Generalized_polygon
Topics referred to by the same term
up linear in Wiktionary, the free dictionary. Linearity is a property of various things in mathematics, physics, and electronics. Linear, linearly, or
Linear_(disambiguation)
Derivative defined on normed spaces
continuous ( B ( V , W ) {\displaystyle B(V,W)} denotes the space of all bounded linear operators from V {\displaystyle V} to W {\displaystyle W} ).
Fréchet_derivative
Abstract mathematical system of two types of objects and a relation between them
structures that satisfy some additional axioms. For instance, a partial linear space is an incidence structure that satisfies: Any two distinct points
Incidence_structure
Topological vector spaces
Distributions and Operators, Springer. Hörmander, L. (1983), The analysis of linear partial differential operators I, Grundl. Math. Wissenschaft., vol. 256, Springer
Spaces of test functions and distributions
Spaces_of_test_functions_and_distributions
Normed vector space that is complete
} ) is a normed space, a linear functional on a normed space is a bounded linear functional if and only if it is a continuous linear functional. This
Banach_space
Statistical modeling method
In statistics, linear regression is a model that estimates the relationship between a scalar response (dependent variable) and one or more explanatory
Linear_regression
Rational fractions as sums of simple terms
In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is, a fraction such that the numerator and the
Partial fraction decomposition
Partial_fraction_decomposition
Indicator for how well data points fit a line or curve
several definitions of R2 that are only sometimes equivalent. In simple linear regression (which includes an intercept), r2 is simply the square of the
Coefficient_of_determination
Mathematical description of spacetime used in relativity
finite-dimensional space is equal to the dimension of the dual, this is enough to conclude the partial evaluation map is a linear isomorphism from M
Minkowski_spacetime
Type of mathematical function
space, an affine space, a piecewise linear manifold, or a simplicial complex. (In these contexts, the term “linear” does not refer solely to linear transformations
Piecewise_linear_function
Equations describing classical electromagnetism
Maxwell's equations are a set of coupled partial differential equations that describe how electric and magnetic fields are generated by electric charges
Maxwell's_equations
In functional analysis, a partial isometry is a linear map between Hilbert spaces such that it is an isometry on the orthogonal complement of its kernel
Partial_isometry
Line or vector perpendicular to a curve or a surface
normal to the space spanned by the linearly independent vectors v1, ..., vr−1 and falls within the r-dimensional space spanned by the linearly independent
Normal_(geometry)
Bipartite 3-regular graph with 90 vertices and 135 edges
1,2,2,2,3}. It can be constructed as the incidence graph of the partial linear space which is the unique triple cover with no 8-gons of the generalized
Foster_graph
Construction in group theory
projective linear group (also known as the projective general linear group or PGL) is the induced action of the general linear group of a vector space V on
Projective_linear_group
Vector space with a notion of nearness
In mathematics, a topological vector space (also called a linear topological space and commonly abbreviated TVS or t.v.s.) is one of the basic structures
Topological_vector_space
Mathematical study of linear operators
In mathematics, operator theory is the study of linear operators on function spaces, beginning with differential operators and integral operators. The
Operator_theory
Geometric model of the planar projection of the physical universe
hyperbola. Another mathematical way of viewing two-dimensional space is found in linear algebra, where the idea of independence is crucial. The plane has
Euclidean_plane
Algebraic object with geometric applications
vector space V, i.e., the space of linear functionals on the dual vector space V∗, with the vector space V. There is always a natural linear map from
Tensor
Matrix of partial derivatives of a vector-valued function
{\partial f_{1}}{\partial x}}&{\dfrac {\partial f_{1}}{\partial y}}\\[1em]{\dfrac {\partial f_{2}}{\partial x}}&{\dfrac {\partial f_{2}}{\partial y}}\\[1em]{\dfrac
Jacobian matrix and determinant
Jacobian_matrix_and_determinant
Conjecture about coloring graphs
graphs, and chairs correspond to vertex colors. A linear hypergraph (also known as partial linear space) is a hypergraph with the property that every two
Erdős–Faber–Lovász_conjecture
Sequence of spaces in linear algebra
mathematics, particularly in linear algebra, a flag is an increasing sequence of subspaces of a finite-dimensional vector space V. Here "increasing" means
Flag_(linear_algebra)
Least squares approximation of linear functions to data
Linear least squares (LLS) is the least squares approximation of linear functions to data. It is a set of formulations for solving statistical problems
Linear_least_squares
In functional programming
In computer science, partial application (or partial function application) refers to the process of fixing a number of arguments of a function, producing
Partial_application
Idempotent linear transformation from a vector space to itself
In linear algebra and functional analysis, a projection is a linear transformation P {\displaystyle P} from a vector space to itself (an endomorphism)
Projection_(linear_algebra)
Concept in probability theory and statistics
conveys a perfect positive linear relationship, and the value 0 conveys that there is no linear relationship. The partial correlation coincides with the
Partial_correlation
Generalized function whose value is zero everywhere except at zero
elliptic or parabolic partial differential equations. In the context of applied mathematics, semigroups arise as the output of a linear time-invariant system
Dirac_delta_function
Concept in incidence geometry
{\displaystyle t_{1}=0,t_{2}=0,\ldots ,t_{d}=t} Finite geometry Polar space Partial linear space Association scheme Hall–Janko graph Shult, Ernest; Yanushka, Arthur
Near_polygon
Theorem in functional analysis
general vector space V and two linear maps from it onto two Banach spaces, the principle states necessary and sufficient conditions for a linear transformation
Fichera's_existence_principle
Approximation method in statistics
expressions for the model and its partial derivatives. A regression model is a linear one when the model comprises a linear combination of the parameters
Least_squares
Type of mathematical model
semi-linear parabolic partial differential equations. They can be represented in the general form ∂ t q = D _ _ ∇ 2 q + R ( q ) , {\displaystyle \partial _{t}\mathbf
Reaction–diffusion_system
Theorem on extension of bounded linear functionals
allows the extension of bounded linear functionals defined on a vector subspace of some vector space to the whole space. The theorem also shows that there
Hahn–Banach_theorem
Boundary condition for generalized functions
domain to "generalized" functions in a Sobolev space. This is particularly important for the study of partial differential equations with prescribed boundary
Trace_operator
Type of partial differential equations
In mathematics, a hyperbolic partial differential equation of order n {\displaystyle n} is a partial differential equation (PDE) that, roughly speaking
Hyperbolic partial differential equation
Hyperbolic_partial_differential_equation
functional analysis, a positive linear functional on an ordered vector space ( V , ≤ ) {\displaystyle (V,\leq )} is a linear functional f {\displaystyle f}
Positive_linear_functional
Generalization of the inverse function theorem
theorem is widely used to prove local existence for non-linear partial differential equations in spaces of smooth functions. It is particularly useful when
Nash–Moser_theorem
Properties of mathematical relationships
mathematics, the term linear is used in two distinct senses for two different properties: linearity of a function (or mapping); linearity of a polynomial.
Linearity
Function space of all functions whose derivatives are rapidly decreasing
Bump function Schwartz–Bruhat function Nuclear space Hörmander, L. (1990). The Analysis of Linear Partial Differential Operators I, (Distribution theory
Schwartz_space
Smooth manifold
manifold is a smooth manifold equipped with a smooth linear complex structure on each tangent space. Every complex manifold is an almost complex manifold
Almost_complex_manifold
Method used in statistics, pattern recognition, and other fields
dimensional non-linear space. Linear classification in this non-linear space is then equivalent to non-linear classification in the original space. The most
Linear_discriminant_analysis
Approximation method in statistics
the next. Thus, in terms of the linearized model, ∂ r i ∂ β j = − J i j {\displaystyle {\frac {\partial r_{i}}{\partial \beta _{j}}}=-J_{ij}} and the residuals
Non-linear_least_squares
Equation that describes density changes of a material that is diffusing in a medium
the following linear parabolic partial differential equation: ∂ ϕ ( r , t ) ∂ t = D ∇ 2 ϕ ( r , t ) , {\displaystyle {\frac {\partial \phi (\mathbf {r}
Diffusion_equation
Vector of length one
often chosen to form the basis of a vector space, and every vector in the space may be written as a linear combination form of unit vectors. Unit vectors
Unit_vector
Form of cryptanalysis
holding (over the space of all possible values of their variables) are as close as possible to 0 or 1. The second is to use these linear equations in conjunction
Linear_cryptanalysis
Class of quantum field theory models
on values in a nonlinear manifold called the target manifold T. The non-linear σ-model was introduced by Gell-Mann & Lévy (1960, §6), who named it after
Non-linear_sigma_model
Type of functional equation (mathematics)
used distinctions include whether the equation is ordinary or partial, linear or non-linear, and homogeneous or heterogeneous. This list is far from exhaustive;
Differential_equation
Class of statistical models
generalized linear model (GLM) is a flexible generalization of ordinary linear regression. The GLM generalizes linear regression by allowing the linear model
Generalized_linear_model
Expression that may be integrated over a region
=\sum _{i=1}^{n}{\frac {\partial f}{\partial x^{i}}}\,dx^{i}\wedge dx^{I}.} with extension to general k-forms through linearity: if τ = ∑ I ∈ J k , n a
Differential_form
Specification of a derivative along a tangent vector of a manifold
{\partial }{\partial x^{i}}}.} The covariant derivative of a basis vector along a basis vector is again a vector and so can be expressed as a linear combination
Covariant_derivative
Operator in quantum mechanics
{\displaystyle {\hat {p}}\psi =-i\hbar {\frac {\partial \psi }{\partial x}}} In a basis of Hilbert space consisting of momentum eigenstates expressed in
Momentum_operator
if x has an earlier position than y in every linear extension of the realizer. Series-parallel partial orders have order dimension at most two. If P
Series-parallel_partial_order
Finite difference method for numerically solving parabolic differential equations
example, for linear diffusion, ∂ u ∂ t = a ∂ 2 u ∂ x 2 , {\displaystyle {\frac {\partial u}{\partial t}}=a{\frac {\partial ^{2}u}{\partial x^{2}}},} applying
Crank–Nicolson_method
Mathematical function of a linear operator
an eigenfunction of a linear operator D defined on some function space is any non-zero function f {\displaystyle f} in that space that, when acted upon
Eigenfunction
Method in numerical analysis
into a linear part, ∂ A D ∂ z = − i β 2 2 ∂ 2 A ∂ t 2 = D ^ A , {\displaystyle {\partial A_{D} \over \partial z}=-{i\beta _{2} \over 2}{\partial ^{2}A
Split-step_method
Structure defining distance on a manifold
J={\begin{bmatrix}{\frac {\partial u}{\partial u'}}&{\frac {\partial u}{\partial v'}}\\{\frac {\partial v}{\partial u'}}&{\frac {\partial v}{\partial v'}}\end{bmatrix}}\
Metric_tensor
Mathematical method in functional analysis
convenient to define a linear transformation on a complete, normed vector space X {\displaystyle X} by first defining a linear transformation L {\displaystyle
Continuous_linear_extension
Numerical method for solving physical or engineering problems
FEM is a general numerical method for solving partial differential equations in two- or three-space variables (i.e., some boundary value problems).
Finite_element_method
Space that is empty of matter
"vacuum" or free space, and use the term partial vacuum to refer to an actual imperfect vacuum as one might have in a laboratory or in space. In engineering
Vacuum
Certain topology in mathematics
infinitely many) such open intervals and rays. A topological space X is called orderable or linearly orderable if there exists a total order on its elements
Order_topology
Function, homomorphism, or morphism
For example, a linear map is a homomorphism of vector spaces, while the term linear function may have this meaning or it may mean a linear polynomial. In
Map_(mathematics)
Property of a sequence or series
in terms of convergence of the sequence of partial sums. For functions taking values in a normed linear space, absolute convergence refers to convergence
Modes_of_convergence
Description of a quantum-mechanical system
Dirac equation, which contains a single derivative in both space and time. Another partial differential equation, the Klein–Gordon equation, led to a
Schrödinger_equation
Optimization algorithm for artificial neural networks
{\frac {\partial E}{\partial w_{ij}}}={\frac {\partial E}{\partial o_{j}}}{\frac {\partial o_{j}}{\partial {\text{net}}_{j}}}{\frac {\partial {\text{net}}_{j}}{\partial
Backpropagation
Linear approximation of smooth maps on tangent spaces
differential geometry, pushforward is a linear approximation of smooth maps (formulating manifold) on tangent spaces. Suppose that φ : M → N {\displaystyle
Pushforward_(differential)
Calculus of functions generalization
use of linear algebra also allows a natural generalization of multivariable calculus to calculus on Banach spaces or topological vector spaces. Calculus
Calculus_on_Euclidean_space
PARTIAL LINEAR-SPACE
PARTIAL LINEAR-SPACE
Girl/Female
Gujarati, Hindu, Indian, Modern
Eye-liner of Lord Krishna's Eyes
Male
Spanish
Spanish form of Roman Latin Martialis, MARCIAL means "of/like Mars."
Boy/Male
Hindu, Indian
Lord of Parti; One of the Name of Shri Satya Saibaba
Female
English
English Shakespeare character name derived from Roman Latin Porcius, PORTIA means "pig." A moon of Uranus was given this name.
Male
English
Irish Anglicized form of Gaelic Fionnbarr, FINBAR means "fair-headed."
Male
German
German form of French Percevel, PARZIFAL means "pierced valley."
Girl/Female
Hindu, Indian
Eye-liner of Warrior Arjuna
Girl/Female
Latin American Shakespearean
An offering. Portia was a heroine in Shakespeare's 'The Merchant of Venice'.
Boy/Male
Hindu
Lord of parti one of the name of Shri Satya Sai baba
Male
German
German form of French Percevel, PARZIVAL means "pierced valley."
Girl/Female
Hindu, Indian
Queen
Male
English
English form of Roman Latin Martialis, MARTIAL means "of/like Mars."
Boy/Male
Indian
An intimate particle of the God of heaven
Female
Scottish
Variant spelling of Scottish Lilias, LILEAS means "lily."
Boy/Male
Latin
Warring.
Female
English
Variant spelling of English Linsey, LINSAY means "Lincoln's wetlands."
Male
German
Variant spelling of German Parzifal, PARSIFAL means "pierced valley."
Girl/Female
Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Parting Line
Boy/Male
Hindu
Lingam
Male
Hungarian
Hungarian form of Greek Bartholomaios, BARTAL means "son of Talmai."
PARTIAL LINEAR-SPACE
PARTIAL LINEAR-SPACE
Boy/Male
American, Anglo, Australian, British, English
From the Hill-slope Estate; Estate on the Hill
Girl/Female
American, Australian, Jamaican
Who is Like God
Girl/Female
Buddhist, Indian
Princess
Boy/Male
Polish
Victory.
Male
Japanese
(å¤§ç• ) Japanese name, possibly AKIHIRO means "large glory."Â
Boy/Male
French, German, Swiss, Teutonic
Strong Ruler; Army of Power; People of Power; Form of Walter; Ruler of the Army
Girl/Female
Tamil
Kartisha | கரà¯à®¤à¯€à®·à®¾Â
Flower that blossoms in december
Female
German
Variant spelling of Low German Anneken, ANNIKEN means "favor; grace."
Boy/Male
Hindu
Purifier
Girl/Female
Arabic
Good
PARTIAL LINEAR-SPACE
PARTIAL LINEAR-SPACE
PARTIAL LINEAR-SPACE
PARTIAL LINEAR-SPACE
PARTIAL LINEAR-SPACE
n.
One who lines, as, a liner of shoes.
a.
Of or pertaining to a line; consisting of lines; in a straight direction; lineal.
a.
Impartial.
a.
Composed of lines; delineated; as, lineal designs.
n.
Pertaining to a subordinate portion; as, a compound umbel is made up of a several partial umbels; a leaflet is often supported by a partial petiole.
n.
A native Parthia.
adv.
In part; not totally; as, partially true; the sun partially eclipsed.
n.
Of, pertaining to, or affecting, a part only; not general or universal; not total or entire; as, a partial eclipse of the moon.
a.
Like a line; narrow; of the same breadth throughout, except at the extremities; as, a linear leaf.
a.
Pertaining to, or containing, iron; chalybeate; as, martial preparations.
a.
Of, pertaining to, or suited for, war; military; as, martial music; a martial appearance.
a.
Belonging to war, or to an army and navy; -- opposed to civil; as, martial law; a court-martial.
adv.
In a partial manner; with undue bias of mind; with unjust favor or dislike; as, to judge partially.
pl.
of Court-martial
v.
Given when departing; as, a parting shot; a parting salute.
a.
Linear.
n.
A patrial noun. Thus Romanus, a Roman, and Troas, a woman of Troy, are patrial nouns, or patrials.
n.
Inclined to favor one party in a cause, or one side of a question, more then the other; baised; not indifferent; as, a judge should not be partial.
adv.
In a linear manner; with lines.
a.
In the direction of a line; of or pertaining to a line; measured on, or ascertained by, a line; linear; as, lineal magnitude.