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Консультация № 189960
30.10.2016, 13:19
0.00 руб.
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Здравствуйте! У меня возникли сложности с таким вопросом:
Как разложить f(x)=((x^2, 0<x<1) (0, 1<x<2)) в ряд Фурье по синусам и косинусам, только по синусам, только по косинусам?
Как разложить f(x)=((x^2, 0<x<1) (0, 1<x<2)) в ряд Фурье по синусам и косинусам, только по синусам, только по косинусам?
Обсуждение
08.11.2016, 15:02
общий
это ответ
Здравствуйте, Александр!
Пусть дана функция
Разложим её, например, в ряд Фурье по синусам и косинусам (промежуточные выкладки опускаем):
Это разложение имеет место во всей области определения заданной функции. В интервале
сумма ряда 
а в интервале 
В точке разрыва 
где функция не определена,
Пусть дана функция
Разложим её, например, в ряд Фурье по синусам и косинусам (промежуточные выкладки опускаем):
Это разложение имеет место во всей области определения заданной функции. В интервале
сумма ряда а в интервале В точке разрыва где функция не определена,
Об авторе:
Facta loquuntur.
Facta loquuntur.
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