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 implies that k > 1. Neither regularity condition implies the other, so it has to be assumed that r > 1. A finite partial linear space...

mathematics, a partial differential equation (PDE) is an equation which involves a multivariable function and one or more of its partial derivatives. The...

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...

Hilbert spaces form a basic tool in the study of partial differential equations. For many classes of partial differential equations, such as linear elliptic...

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...

In geometry, a three-dimensional space (3D space, 3-space or, rarely, tri-dimensional space) is a mathematical space in which three values (coordinates)...

In mathematics and physics, a vector space (also called a linear space) is a set whose elements, often called vectors, can be added together and multiplied...

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...

mathematics, linearization (British English: linearisation) is finding the linear approximation to a function at a given point. The linear approximation...

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...

variables, it finds a linear regression model by projecting the predicted variables and the observable variables to a new space of maximum covariance...

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...

In mathematics, a linear form (also known as a linear functional, a one-form, or a covector) is a linear map from a vector space to its field of scalars...

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...

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...

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...

representations in vector spaces and through matrices. Linear algebra is central to almost all areas of mathematics. For instance, linear algebra is fundamental...

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...

In mathematics, an elliptic partial differential equation is a type of partial differential equation (PDE). In mathematical modeling, elliptic PDEs are...

estimated within some linear subspace of the full parameter space Rp). See partial least squares regression. Methods for fitting linear models with multicollinearity...

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...

}(\mathbb {R} ^{n})} is a continuous linear map such that L ∂ α ϕ = ∂ α L ϕ {\displaystyle L\partial ^{\alpha }\phi =\partial ^{\alpha }L\phi } for all α {\displaystyle...

functional analysis, a positive linear functional on an ordered vector space ( V , ≤ ) {\displaystyle (V,\leq )} is a linear functional f {\displaystyle f}...

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...

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}}...

famous linear equations, such as the wave equation and the Schrödinger equation. One difficulty is their lack of regularity. In one dimensional space, solutions...

In mathematical functional analysis, a partial isometry is a linear map between Hilbert spaces such that it is an isometry on the orthogonal complement...

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...

is an ordinary differential equation (ODE). A linear differential equation may also be a linear partial differential equation (PDE), if the unknown function...