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Консультация № 198859
07.06.2020, 15:46
0.00 руб.
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Уважаемые эксперты! Пожалуйста, помогите с решением задачи:
Покажите что для любой функции f:R^m→R множество{x∈R^m : ω (f,x) ≥ ξ (эпсилон)} замкнуто в R^m. Здесь ω (f,x) - колебание функции f в точке x.
Эта задача уже встречалась на форуме, но, к сожалению, не получила ответа. Заранее спасибо!
Покажите что для любой функции f:R^m→R множество{x∈R^m : ω (f,x) ≥ ξ (эпсилон)} замкнуто в R^m. Здесь ω (f,x) - колебание функции f в точке x.
Эта задача уже встречалась на форуме, но, к сожалению, не получила ответа. Заранее спасибо!
Обсуждение
В консультации пока нет ответов.
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