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Консультация № 178739
29.05.2010, 21:37
45.00 руб.
0
3
1
Уважаемые эксперты решите пожалуйста две из ниже приведенных задач:
1. Показать что множество ∂E граничных точек любого множества E которое является подмножеством R^n является замкнутым множеством.
2. Покажите что для любой функции f:R^m[$8594$]R множество{x[$8712$]R^m : [$969$] (f,x) [$8805$] [$958$] (эпсилон)} замкнуто в R^m. Здесь [$969$] (f,x) - колебание функции f в точке x.
3. Покажите, что для открытого в R^n множества G и замкнутого F множество F\G является открытым в R^n множеством.
4. Покажите, что полусфера x21 + ... x2n = 1 xn [$8805$] 0 является связным множеством.
5. Покажите, что если x0 внутренняя , а x1 внешняя точка множества E подмножество R^n , то носитель любого пути с концами x0, x1 пересекает границу множества E.
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Приложение:
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1. Показать что множество ∂E граничных точек любого множества E которое является подмножеством R^n является замкнутым множеством.
2. Покажите что для любой функции f:R^m[$8594$]R множество{x[$8712$]R^m : [$969$] (f,x) [$8805$] [$958$] (эпсилон)} замкнуто в R^m. Здесь [$969$] (f,x) - колебание функции f в точке x.
3. Покажите, что для открытого в R^n множества G и замкнутого F множество F\G является открытым в R^n множеством.
4. Покажите, что полусфера x21 + ... x2n = 1 xn [$8805$] 0 является связным множеством.
5. Покажите, что если x0 внутренняя , а x1 внешняя точка множества E подмножество R^n , то носитель любого пути с концами x0, x1 пересекает границу множества E.
Очень нужно, помогите пожалуйста, надежда только на Вас....
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Приложение:
<a href=http://www.es.7searchsoft.com/ >programas gratis descargar</a>
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