Integral representations of linear operators: Let $ ( X, \Lambda, \mu ) $ and $ ( Y, \Sigma, \nu ) $ be $ \sigma $-finite measure spaces (cf. Measure space) and let $ L _ {0} ( X, \mu ) $ and $ L _ {0} ( Y, \nu ) $ be the spaces of the complex-valued $ \mu $-measurable functions on ... (Mathematics) [100%] 2024-01-10
Applied linear operators and spectral methods: Welcome to this learning project about Applied linear operators and spectral methods! The course covers the theory of linear operators applied to matrix, differential, and integral equations. [91%] 2023-03-10 [Functional analysis] [Mathematics]...
Semi-group of non-linear operators: A one-parameter family of operators $ S ( t ) $, $ 0 \leq t 0 $; 2) $ S ( 0 ) x = x $ for any $ x \in C $; 3) for any $ x \in C $, the function $ S ( t ) x $. (Mathematics) [91%] 2023-10-17
Continuation method (to a parametrized family, for non-linear operators): A method for approximately solving non-linear operator equations. It consists of generalizing the equation to be solved, , to the form , by introducing a parameter that takes values in a finite interval, , such that the initial equation is obtained for ... (Mathematics) [70%] 2023-07-01
Linear operator: linear transformation, linear map A mapping between two vector spaces (cf. Vector space) that is compatible with their linear structures. (Mathematics) [100%] 2023-10-23 [Linear and multilinear algebra] [ matrix theory]...
Linear differential operator: in the narrow sense An operator $ A $ that acts on $ k $-valued functions ( $ k = \mathbf R $ or $ k = \mathbf C $) defined on an open set $ U \subset \mathbf R ^ {n} $, according to the formula $$ \tag{1 } A u = v \equiv ... (Mathematics) [81%] 2023-10-17
Positive linear operator: In mathematics, more specifically in functional analysis, a positive linear operator from an preordered vector space \displaystyle{ (X, \leq) }[/math] into a preordered vector space \displaystyle{ (Y, \leq) }[/math]is a linear operator \displaystyle{ f }[/math] on \displaystyle{ X }[/math ... [81%] 2024-01-10 [Functional analysis] [Order theory]...
Non-linear operator: A mapping $ A $ of a space (as a rule, a vector space) $ X $ into a vector space $ Y $ over a common field of scalars that does not have the property of linearity, that is, such that generally speaking $$ A ( \alpha ... (Mathematics) [81%] 2024-01-10
Linear Schrödinger Operator: A linear Schrödinger operator is an exponential operator used in the theory of Schrödinger equation in expressing solution of Schrödinger equation in an integral form. It is essentially defined by \displaystyle{ U(t) =e^{i tD } }[/math], where \displaystyle{ D ... (Physics) [81%] 2024-01-10 [Schrödinger equation]
Linear (Hong Kong): Linear blocks (Chinese: 相連長型大廈) are a design of public housing blocks. It is divided into Linear 1, 2 (never built), 3, Linear L, and L2. (Hong Kong) [75%] 2023-10-24 [Urban planning]
LINEAR (アルバム): 『LINEAR』(リニア)は、日本のバンド、ストレイテナーのメジャー4枚目のオリジナルアルバムである。2007年3月7日発売。発売元は東芝EMI。. (アルバム) [75%] 2025-05-01 [2007年のアルバム] [ストレイテナーのアルバム]...
Operator: In physics, an operator is a function over a space of physical states onto another space of physical states. The simplest example of the utility of operators is the study of symmetry (which makes the concept of a group useful ... (Physics) [65%] 2023-11-16 [Operator theory] [Theoretical physics]...
Operator: An operator is a mapping from function space to function space. If the range of the operator is on the real line or in the complex plane, the operator is usually called a functional instead. [65%] 2023-02-24 [Mathematics] [Technology]...
Operator: A mapping of one set into another, each of which has a certain structure (defined by algebraic operations, a topology, or by an order relation). The general definition of an operator coincides with the definition of a mapping or function. (Mathematics) [65%] 2023-10-17
Operator (mathematics): In mathematics, an operator is generally a mapping or function that acts on elements of a space to produce elements of another space (possibly and sometimes required to be the same space). There is no general definition of an operator ... (Mathematics) [65%] 2024-01-01 [Algebra] [Functional analysis]...
Operator (linguistics): In generative grammar, the technical term operator denotes a type of expression that enters into an a-bar movement dependency. One often says that the operator "binds a variable". (Linguistics) [65%] 2024-08-04 [Grammar] [Generative syntax]...
Operator (computer programming): In computer programming, operators are constructs defined within programming languages which behave generally like functions, but which differ syntactically or semantically. Common simple examples include arithmetic (e.g. (Computer programming) [65%] 2025-03-26 [Operators (programming)] [Programming constructs]...
Operator (computer programming): In computer programming, an operator is a programming language construct that provides functionality that may not be possible to define as a user-defined function (i.e. sizeof in C) or has syntax different than a function (i.e. (Computer programming) [65%] 2025-07-10 [Operators (programming)] [Programming constructs]...
Kernel of a linear operator: The linear subspace of the domain of definition of a linear operator that consists of all vectors that are mapped to zero. The kernel of a continuous linear operator that is defined on a topological vector space is a closed ... (Mathematics) [63%] 2024-01-10
Liner: Liner, or Line of Battle Ship, the name formerly given to a vessel considered large enough to take part in a naval battle. The practice of distinguishing between vessels fit, and those not fit, to “lie in a line of ... [60%] 2022-09-02
Linea: Linea is a genus of foraminifera belonging to the subfamily Rhabdammininae. It is a monotypic genus containing the sole species Linea simplex. (Genus of foraminifera) [60%] 2024-01-26 [Monothalamea]
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