The method of exhaustion is a method of finding the area of a shape by inscribing inside it a sequence of polygons whose areas converge to the area of the containing shape. If the sequence is correctly constructed, the difference in area between the n-th polygon and the containing shape will become arbitrarily small as n becomes large. As this difference becomes arbitrarily small, the possible values for the area of the shape are systematically "exhausted" by the lower bound areas successively...
The method of exhaustion is a method of finding the area of a shape by inscribing inside it a sequence of polygons whose areas converge to the area of the containing shape. If the sequence is correctly constructed, the difference in area between the n-th polygon and the containing shape will become arbitrarily small as n becomes large. As this difference becomes arbitrarily small, the possible values for the area of the shape are systematically "exhausted" by the lower bound areas successively established by the sequence members. The idea originated with Antiphon, although it is not entirely clear how well he understood it.The theory was made rigorous by Eudoxus. The first use of the term was in 1647 by Gregoire de Saint-Vincent in Opus geometricum guadraturae circuli et sectionum coni.The method of exhaustion typically required a form of proof by contradiction, known as reductio ad absurdum. This amounts to finding an area of a region by first comparing it to the area of a second region.
Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.
Эта книга рассказывает о том, как правильно планировать, делегировать и контролировать работу, давать обратную связь, проводить совещания, подбирать и развивать сотрудников, проводить оценку их эффективности и потенциала и принимать верные кадровые решения. Хотя все перечисленное — часть стандартной управленческой работы, именно здесь у многих руководителей по прежнему сохраняются плохие привычки,...
Издательство:
Альпина Паблишер
Дата выхода: сентябрь 2019
Оставить комментарий