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Консультация № 184465
16.11.2011, 01:31
0.00 руб.
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1
Здравствуйте! Прошу помощи в следующем вопросе:
разложить функцию f(x)=ABS(x) в ряд Фурье на промежутке от [-1;1].
разложить функцию f(x)=ABS(x) в ряд Фурье на промежутке от [-1;1].
Обсуждение
16.11.2011, 09:31
общий
это ответ
Здравствуйте, Марина!
График функции y = ABS (x) = |x|, определённой на отрезке [-1; 1], представляет собой совокупность двух отрезков: отрезка прямой y = -x, идущего от точки (-1; 1) к точке (0; 0), и отрезка прямой y = x, идущего от точки (0; 0) к точке (1; 1). График функции симметричен относительно оси ординат, а сама функция является чётной, т. е. y(-x) = y(x).
Литература
Черненко В. Д. Высшая математика в примерах и задачах: учебное пособие для вузов. В 3 т.: Т. 2. - СПб: Политехника, 2003. - 477 с.
С уважением.
График функции y = ABS (x) = |x|, определённой на отрезке [-1; 1], представляет собой совокупность двух отрезков: отрезка прямой y = -x, идущего от точки (-1; 1) к точке (0; 0), и отрезка прямой y = x, идущего от точки (0; 0) к точке (1; 1). График функции симметричен относительно оси ординат, а сама функция является чётной, т. е. y(-x) = y(x).
Литература
Черненко В. Д. Высшая математика в примерах и задачах: учебное пособие для вузов. В 3 т.: Т. 2. - СПб: Политехника, 2003. - 477 с.
С уважением.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
Форма ответа
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