Last Updated
:2025/11/26
linear operator
Noun
Japanese Meaning
数学、特に関数解析の分野において、加法性(L(f+g)=Lf+Lg)とスカラー倍との分配性(L(λf)=λLf)という性質を持つ作用素。 / 線形な算子、または線形変換と呼ばれ、関数やベクトルに対して線形性(加法性およびスカラー倍との分配性)を保証する演算子のこと。
( plural )
Quizzes for review
(mathematics, functional analysis) 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.
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linear operator
A linear operator L satisfies L(f + g) = Lf + Lg and L(λf) = λLf for all functions f, g and scalars λ.
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A linear operator L satisfies L(f + g) = Lf + Lg and L(λf) = λLf for all functions f, g and scalars λ.
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