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Консультация № 199000
05.07.2020, 22:14
0.00 руб.
0
0
0
Здравствуйте! Прошу помощи в следующем вопросе:
Доказать, что длина пути F: L(F) больше или равна ||F(b)-F(a)||.
Вроде бы это можно сделать с помощью неравенства треугольника, зная, что по определению L(F)=sup(sum from j=1 to n of ||F(t_j)-F(t_(j-1))|| для дробления t.
Это интуитивно понятно, но все же хотелось бы это записать более аккуратно.
Доказать, что длина пути F: L(F) больше или равна ||F(b)-F(a)||.
Вроде бы это можно сделать с помощью неравенства треугольника, зная, что по определению L(F)=sup(sum from j=1 to n of ||F(t_j)-F(t_(j-1))|| для дробления t.
Это интуитивно понятно, но все же хотелось бы это записать более аккуратно.
Обсуждение
В консультации пока нет ответов.
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