linear operator

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• linear operator — tiesinis operatorius statusas T sritis fizika atitikmenys: angl. linear operator vok. linearer Operator, m rus. линейный оператор, m pranc. opérateur linéaire, m …   Fizikos terminų žodynas

• linear operator — noun an operator that obeys the distributive law: A(f+g) = Af + Ag (where f and g are functions) (Freq. 10) • Hypernyms: ↑operator * * * Math. a mathematical operator with the property that applying it to a linear combination of two objects… …   Useful english dictionary

• linear operator — Math. a mathematical operator with the property that applying it to a linear combination of two objects yields the same linear combination as the result of applying it to the objects separately. * * * …   Universalium

• linear operator — noun An operator L such that for functions f and g and scalar λ, L (f + g) = L f + L g and L λf = λ L f …   Wiktionary

• Kernel (linear operator) — Main article: Kernel (mathematics) In linear algebra and functional analysis, the kernel of a linear operator L is the set of all operands v for which L(v) = 0. That is, if L: V → W, then where 0 denotes the null vector… …   Wikipedia

• Continuous linear operator — In functional analysis and related areas of mathematics, a continuous linear operator or continuous linear mapping is a continuous linear transformation between topological vector spaces. An operator between two normed spaces is a bounded linear… …   Wikipedia

• non-linear operator — netiesinis operatorius statusas T sritis fizika atitikmenys: angl. non linear operator vok. nichtlinearer Operator, m rus. нелинейный оператор, m pranc. opérateur non linéaire, m …   Fizikos terminų žodynas

• Operator (mathematics) — This article is about operators in mathematics. For other uses, see Operator (disambiguation). In basic mathematics, an operator is a symbol or function representing a mathematical operation. In terms of vector spaces, an operator is a mapping… …   Wikipedia

• Linear map — In mathematics, a linear map, linear mapping, linear transformation, or linear operator (in some contexts also called linear function) is a function between two vector spaces that preserves the operations of vector addition and scalar… …   Wikipedia

• Operator norm — In mathematics, the operator norm is a means to measure the size of certain linear operators. Formally, it is a norm defined on the space of bounded linear operators between two given normed vector spaces. Contents 1 Introduction and definition 2 …   Wikipedia

• Linear differential equation — In mathematics, a linear differential equation is a differential equation of the form: Ly = f ,where the differential operator L is a linear operator, y is the unknown function, and the right hand side fnof; is a given function (called the source …   Wikipedia