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A relatively direct method is expounded in this paper to prove the termwise differentiation of power series, and a simple method is expressed to calculate the Fourier coefficient.

用比较直接方法证明幂在收敛域可以逐项微分;并得到了计算傅立叶系一种简便方法.

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等数学之美

More generally, this is the core idea  that underlies Fourier transforms, and Fourier series, and the infinite  swell of topics that follow from those.

更一般地说, 这是傅里傅里级数核心思想,及随之而来无穷无尽

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等数学之美

A number one bigger than this was in the series expansion of a fundamental function in a totally different part of math, relevant to these things called modular forms and elliptic functions.

比这更大一个是数学中完全不同部分基本函数级数展开,与模形式椭圆函数相关。

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