Last Updated
：2025/12/06
Lipschitz continuity
Noun
countable
uncountable
Japanese Meaning
数学解析における、一様連続性の強い形。すなわち、ある定数 L （リプシッツ定数）が存在し、任意の2点において関数の値の差が、その2点間の距離のL倍以下に制限される性質を指す。
Sense（1）
（ plural ）
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(mathematical analysis) A strong form of uniform continuity for functions.
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Lipschitz continuity
Lipschitz continuity of the transformation guarantees that small changes in the input lead to proportionally small changes in the output.
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Lipschitz continuity of the transformation guarantees that small changes in the input lead to proportionally small changes in the output.
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