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Консультация № 191530
25.10.2017, 13:29
0.00 руб.
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Здравствуйте! Прошу помощи в следующем вопросе:
Разложить функцию заданную на отрезке, в ряд Фурье:
Разложить функцию заданную на отрезке, в ряд Фурье:
Прикрепленные файлы:
Обсуждение
30.10.2017, 02:44
общий
это ответ
Здравствуйте, 2690861!
Для периодической функции f(x) с периодом 2l разложение в ряд Фурье на отрезке [a, b] (b - a = 2l) имеет вид:
где
В данном случае l = [$960$] и f(x) = x+[$960$] при -[$960$] [$8804$] x < 0, f(x) = [$960$] при 0 [$8804$] x < [$960$]. Тогда коэффициенты будут равны
Таким образом, функция разлагается в ряд Фурье следующего вида:
Для периодической функции f(x) с периодом 2l разложение в ряд Фурье на отрезке [a, b] (b - a = 2l) имеет вид:
где
В данном случае l = [$960$] и f(x) = x+[$960$] при -[$960$] [$8804$] x < 0, f(x) = [$960$] при 0 [$8804$] x < [$960$]. Тогда коэффициенты будут равны
Таким образом, функция разлагается в ряд Фурье следующего вида:
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