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( cos x + i sin x ) n = ( e i x ) n = e i n x = cos ( n x ) + i sin ( n x ) {\displaystyle (\cos x+i\sin x)^ {n}=\left (e^ {ix}\right)^ {n}=e^ {inx}=\cos (nx)+i\sin (nx)} 即 棣美弗公式。 e. 已知的第一次用到常數e，是萊布尼茨於1690年和1691年給惠更斯的通信，以b表示。 1727年 歐拉 開始用e來表示這常數；而e第一次在出版物用到，是1736年 歐拉 的《力學》（mechanica）. E 是自然 对数 的底（由约翰·纳皮尔发明）。 e 出现在很多数学领域里，所以了解它是很有用的。 计算 有很多计算 e 的值的方法，但没有方法可以算出绝对精确的值，因为 e 是个 无理 数（不.
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E, or e, is the fifth letter and the second vowel letter of the latin alphabet, used in the modern english alphabet, the alphabets of other western european languages and others worldwide.
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