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- In mathematics, a function f on the interval [a, b] has the Luzin N property, named after Nikolai Luzin (also called Luzin property or N property) if for all such that , there holds: , where stands for the Lebesgue measure. Note that the image of such a set N is not necessarily measurable, but since the Lebesgue measure is complete, it follows that if the Lebesgue outer measure of that set is zero, then it is measurable and its Lebesgue measure is zero as well. (en)
- En analyse mathématique, une fonction réelle F possède la propriété N de Luzin (du nom de Nikolaï Louzine) si l'image par F de tout ensemble Lebesgue-négligeable est Lebesgue-négligeable. (fr)
- Свойство Лузина или свойство N — одно из слабых свойств регулярности для функций, применяемое в вещественном анализе. Названо в честь Николая Лузина. (ru)
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- 1796 (xsd:nonNegativeInteger)
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- In mathematics, a function f on the interval [a, b] has the Luzin N property, named after Nikolai Luzin (also called Luzin property or N property) if for all such that , there holds: , where stands for the Lebesgue measure. Note that the image of such a set N is not necessarily measurable, but since the Lebesgue measure is complete, it follows that if the Lebesgue outer measure of that set is zero, then it is measurable and its Lebesgue measure is zero as well. (en)
- En analyse mathématique, une fonction réelle F possède la propriété N de Luzin (du nom de Nikolaï Louzine) si l'image par F de tout ensemble Lebesgue-négligeable est Lebesgue-négligeable. (fr)
- Свойство Лузина или свойство N — одно из слабых свойств регулярности для функций, применяемое в вещественном анализе. Названо в честь Николая Лузина. (ru)
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- Propriété N de Luzin (fr)
- Luzin N property (en)
- Свойство Лузина (ru)
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