Last Updated :2025/11/22

Lipschitz

Adjective
not-comparable
Japanese Meaning
(数学)実数値関数が、ある定数 K のもとで定義域内の任意の2点 x₁, x₂ に対して |f(x₁) - f(x₂)| ≤ K・|x₁ - x₂| となるという性質、またはその条件を指します。 / その性質を満たす関数について「リプシッツ連続である」と表現される場合もあります。
What is this buttons?

数値的安定性を確保するために、我々は微分方程式の右辺が定義域上でリプシッツ連続、すなわちある定数Kが存在して任意のx_1およびx_2について|f(x_1)-f(x_2)|≤K|x_1-x_2|が成り立つと仮定した。

Quizzes for review

(mathematics) (Of a real-valued real function f) Such that there exists a constant K such that whenever x_1 and x_2 are in the domain of f, |f(x_1)-f(x_2)|≤K|x_1-x_2|.

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Lipschitz

To ensure numerical stability, we assumed the differential equation's right-hand side is Lipschitz on the domain.

See correct answer

To ensure numerical stability, we assumed the differential equation's right-hand side is Lipschitz on the domain.

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