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利用余弦幂次逼近偶函数

本文探讨了如何通过余弦函数的幂次来构造偶函数的简单精确近似，以贝塞尔函数 J(x) 被 (1 + cos(x))/2 近似为例展开。作者在博文中将这一技巧发展为通用方法，并指出该近似实际上是布尔曼定理（Burmann's theorem）的一阶特例。文章通过数学分析与实例，展示了如何利用余弦幂次序列系统性地逼近各类偶函数。

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利用余弦幂次逼近偶函数

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4.0

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