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问答题


  (1)将f(x)展开成傅里叶级数;
  (2)求该傅里叶级数的和函数S(x)及S(6);
  (3)求的和。

发布日期:2021-11-20

设  (1)将f(x)展开成傅里叶级数;  (2)求该傅里叶级数的和函数S(x)及S(6);  (3...

试题解析

傅里叶级数

法国数学家傅里叶认为,任何周期函数都可以用正弦函数和余弦函数构成的无穷级数来表示(选择正弦函数与余弦函数作为基函数是因为它们是正交的),后世称傅里叶级数为一种特殊的三角级数,根据欧拉公式,三角函数又能化成指数形式,也称傅立叶级数为一种指数级数。

中文名
傅里叶级数
提出者
傅里叶
性质
一种特殊的三角级数
外文名
Fourier series
适用领域
任何周期函数
应用学科
数学

开成

开成(836年正月—840年十二月)是唐文宗的年号,共计5年。开成五年正月唐武宗李瀍即位沿用。

中文名
开成
所属皇帝
唐文宗
分类
年号
存在时间
5年

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